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    <title>DEV Community: Wesley Kambale</title>
    <description>The latest articles on DEV Community by Wesley Kambale (@kambale).</description>
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      <title>DEV Community: Wesley Kambale</title>
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    <item>
      <title>Building a Deep Learning Model with Keras and TensorFlow</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Thu, 27 Jul 2023 22:06:00 +0000</pubDate>
      <link>https://dev.to/kambale/building-a-deep-learning-model-with-keras-and-tensorflow-4gb4</link>
      <guid>https://dev.to/kambale/building-a-deep-learning-model-with-keras-and-tensorflow-4gb4</guid>
      <description>&lt;h1&gt;
  
  
  Introduction
&lt;/h1&gt;

&lt;h3&gt;
  
  
  What is Deep Learning?
&lt;/h3&gt;

&lt;p&gt;Deep learning is a branch of artificial intelligence and machine learning that seeks to imitate the learning and decision-making capabilities of the human brain. This involves training intricate neural networks with layers upon layers to analyze and extract advanced features from raw data. By learning from large amounts of labeled data, these networks can identify patterns, classify objects, and make predictions. With its breakthrough advancements, deep learning has transformed countless industries such as computer vision, natural language processing, and speech recognition, surpassing the performance of traditional machine learning algorithms in many formerly difficult tasks.&lt;/p&gt;

&lt;h3&gt;
  
  
  What is Keras?
&lt;/h3&gt;

&lt;p&gt;Are you familiar with Keras? It's a Python-based, open-source neural network API designed to simplify the process of building, training, and deploying deep learning models. Keras was created with user experience in mind, allowing developers and researchers to experiment with different neural network architectures without getting bogged down in the complexity of lower-level deep learning libraries like TensorFlow or Theano. With its flexible and modular structure, users can easily stack and connect layers to create complex models. Keras is widely used in various domains due to its simplicity and powerful capabilities.&lt;/p&gt;

&lt;h3&gt;
  
  
  What is TensorFlow?
&lt;/h3&gt;

&lt;p&gt;TensorFlow is a deep learning framework developed by the Google Brain team. It's an open-source platform that offers a vast array of tools, libraries, and resources to create and implement machine learning and deep learning models. With TensorFlow, you can define and train neural networks using a flexible and symbolic dataflow graph representation. This graph structure allows for efficient parallel computations and optimization, making it possible to run on CPUs, GPUs, and even specialized hardware like TPUs (Tensor Processing Units). Its versatility, scalability, and performance have made TensorFlow a popular choice for academia, research, and industry, playing a crucial role in advancing deep learning applications and research.&lt;/p&gt;

&lt;h1&gt;
  
  
  Building a Deep Learning Model
&lt;/h1&gt;

&lt;p&gt;In this article, we will guide you through the process of building your very first Keras classifier using the well-known deep-learning library Keras. We aim to create a basic image classification model that can accurately classify images of handwritten digits from the MNIST dataset. Before starting, please ensure that you have installed both Keras and TensorFlow. If not, you can easily install them using pip, if you haven't already:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;pip&lt;/span&gt; &lt;span class="n"&gt;install&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; 
&lt;span class="n"&gt;pip&lt;/span&gt; &lt;span class="n"&gt;install&lt;/span&gt; &lt;span class="n"&gt;keras&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Import the necessary libraries
&lt;/h3&gt;

&lt;p&gt;Here, we import the required libraries for building our deep learning model. We'll be using TensorFlow and Keras for creating and training the neural network. Additionally, we import specific modules and functions for loading the MNIST dataset, defining the model architecture, and data preprocessing.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;
&lt;span class="c1"&gt;# MNIST dataset is included in Keras
&lt;/span&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow.keras.datasets&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;mnist&lt;/span&gt;
&lt;span class="c1"&gt;# Model type
&lt;/span&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow.keras.models&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Sequential&lt;/span&gt;
&lt;span class="c1"&gt;# Types of layers to be used in our model
&lt;/span&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow.keras.layers&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Conv2D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;MaxPooling2D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Flatten&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Dropout&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow.keras.utils&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;to_categorical&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Load and preprocess the MNIST dataset
&lt;/h3&gt;

&lt;p&gt;We have to load the MNIST dataset using the &lt;code&gt;mnist.load_data()&lt;/code&gt; function from Keras. The dataset consists of 28x28 grayscale images of handwritten digits (0 to 9). We split the dataset into training and testing sets. Then, we normalize the pixel values of the images to range between 0 and 1 by dividing all pixel values by 255.0. This normalization helps the model converge faster during training. We also one-hot encode the class labels, converting them into binary vectors representing the corresponding digit.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Load the MNIST dataset
&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mnist&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;load_data&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Normalize the pixel values to range [0, 1]
&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;astype&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;float32&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mf"&gt;255.0&lt;/span&gt;
&lt;span class="n"&gt;x_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;astype&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;float32&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mf"&gt;255.0&lt;/span&gt;

&lt;span class="c1"&gt;# One-hot encode the labels
&lt;/span&gt;&lt;span class="n"&gt;y_train&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;to_categorical&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;y_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;to_categorical&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add a channel dimension for Conv2D (for grayscale images)
&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;expand_dims&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;x_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;expand_dims&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Build the CNN model
&lt;/h3&gt;

&lt;p&gt;A Convolutional Neural Network (CNN) is a type of deep learning model particularly effective for image recognition tasks. We can use Keras's API to define the CNN architecture. The CNN model is made up of several layers:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Convolutional Layers&lt;/strong&gt; : We include three 2D convolutional layers with increasing numbers of filters (32, 64, and 128) and small filter sizes (3x3). The activation function used is ReLU (Rectified Linear Unit), which brings non-linearity to the model.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;MaxPooling Layers&lt;/strong&gt; : Following each convolutional layer, we add a 2D MaxPooling layer with a pool size of (2, 2). MaxPooling is responsible for decreasing the spatial dimensions of the feature maps, which aids in extracting the most important information while reducing the computational load.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Flatten Layer&lt;/strong&gt; : We then add a Flatten layer that converts the 3D feature maps into a 1D vector, which will serve as input for the fully connected layers.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Dense Layers&lt;/strong&gt; : After the Flatten layer, two fully connected Dense layers are added. The first Dense layer has 128 neurons and employs ReLU activation. We also add a Dropout layer with a dropout rate of 50% to prevent overfitting. The second Dense layer consists of 10 neurons (one for each digit) with a softmax activation function, which outputs probabilities representing the predicted class probabilities for each image.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Convolution Layer 1
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Conv2D&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;input_shape&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;28&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;28&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;MaxPooling2D&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt;

&lt;span class="c1"&gt;# Convolution Layer 2
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Conv2D&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;MaxPooling2D&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt;

&lt;span class="c1"&gt;# Convolution Layer 3
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Conv2D&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;MaxPooling2D&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt;

&lt;span class="c1"&gt;# Connected Layer 4
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Flatten&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;span class="c1"&gt;# Connected Layer 5
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Dropout&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mf"&gt;0.5&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;softmax&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Compile the model
&lt;/h3&gt;

&lt;p&gt;We can now compile the model using the &lt;code&gt;compile()&lt;/code&gt; function. During compilation, we define the loss function and the optimization algorithm. Since we are dealing with a multi-class classification problem, we use the &lt;code&gt;categorical_crossentropy&lt;/code&gt; loss function, which is appropriate for this scenario. We also specify the &lt;code&gt;Adam&lt;/code&gt; optimizer, a popular and effective optimization algorithm. Additionally, we can choose to track other metrics like accuracy during training.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Use the Adam optimizer for learning
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;compile&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;categorical_crossentropy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;adam&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;metrics&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;accuracy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Train the model
&lt;/h3&gt;

&lt;p&gt;After compiling the model, we move on to training it on the training dataset. We specify the number of training epochs (how many times the model will see the entire dataset) and the batch size (the number of samples the model will process before updating its parameters). We use the &lt;code&gt;fit()&lt;/code&gt; function to train the model, passing the training data and labels. During training, the model adjusts its weights and biases to minimize the defined loss function and improve its accuracy on the training data.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Set the number of training epochs and batch size
&lt;/span&gt;&lt;span class="n"&gt;epochs&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;
&lt;span class="n"&gt;batch_size&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;128&lt;/span&gt;

&lt;span class="c1"&gt;# Train the model
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;batch_size&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;validation_split&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--YH_ygXnL--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1690490773824/37fc5789-1089-4386-98b1-22d728834e31.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--YH_ygXnL--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1690490773824/37fc5789-1089-4386-98b1-22d728834e31.png" alt="" width="800" height="260"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;
  
  
  Evaluate the model
&lt;/h3&gt;

&lt;p&gt;Once the model is trained, we evaluate its performance on the test dataset using the &lt;code&gt;evaluate()&lt;/code&gt; function. The model is not trained on the test set; instead, we use this set to assess its generalization performance. The function returns the loss value and the accuracy achieved on the test set. A high accuracy indicates that the model is capable of recognizing handwritten digits from unseen data.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;accuracy&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;evaluate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Test loss: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s"&gt;, Test accuracy: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;accuracy&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--YQzuqkLD--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1690491071571/194e3d09-9379-4bd5-905d-c9aa804366bd.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--YQzuqkLD--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1690491071571/194e3d09-9379-4bd5-905d-c9aa804366bd.png" alt="" width="800" height="42"&gt;&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;Test loss: 0.0494
Test accuracy: 0.9869

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Make Predictions
&lt;/h3&gt;

&lt;p&gt;Finally, we can use the trained model to make predictions on new data.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;predictions&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;predicted_labels&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;argmax&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;predictions&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Predicted label:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;predicted_labels&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;True label:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--sYg1PVYn--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1690494964599/077d923c-89b8-4e8b-bc19-5b26733c61d0.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--sYg1PVYn--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1690494964599/077d923c-89b8-4e8b-bc19-5b26733c61d0.png" alt="" width="548" height="101"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;To wrap things up, we went through the steps of constructing a deep learning model with Keras and TensorFlow to train on the MNIST dataset of handwritten images. I hope this has given you a strong basis for constructing and training deep learning models. You now have the tools to address different image recognition tasks, try out various designs, and keep exploring the amazing realm of deep learning. By practicing and experimenting more, you can apply these skills to tackle more intricate issues and delve into the latest developments in the deep learning field.&lt;/p&gt;

&lt;h1&gt;
  
  
  Resources
&lt;/h1&gt;

&lt;p&gt;Google Colab Notebook &lt;a href="https://colab.research.google.com/drive/1znXTdqg449280kQUj0zpv8kg267RGVaH?usp=sharing"&gt;here&lt;/a&gt;. (Make a Copy)&lt;/p&gt;

&lt;p&gt;Access the Keras Official Documentation &lt;a href="https://keras.io/getting_started/"&gt;here&lt;/a&gt;.&lt;/p&gt;

&lt;p&gt;Access the TensorFlow official documentation &lt;a href="https://www.tensorflow.org/api_docs"&gt;here&lt;/a&gt;.&lt;/p&gt;

</description>
      <category>keras</category>
      <category>tensorflow</category>
      <category>deeplearning</category>
    </item>
    <item>
      <title>PandasAI: The Generative AI Library</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Fri, 16 Jun 2023 12:45:47 +0000</pubDate>
      <link>https://dev.to/kambale/pandasai-the-generative-ai-library-57j7</link>
      <guid>https://dev.to/kambale/pandasai-the-generative-ai-library-57j7</guid>
      <description>&lt;h1&gt;
  
  
  Introduction
&lt;/h1&gt;

&lt;h3&gt;
  
  
  What is PandasAI?
&lt;/h3&gt;

&lt;p&gt;PandasAI is an advanced library built on top of the popular Pandas library, designed to provide enhanced functionality for data manipulation, analysis, and AI-driven tasks. With PandasAI, you can efficiently handle large datasets, perform complex operations, and leverage artificial intelligence techniques seamlessly. In this article, we will explore the key features of PandasAI with practical examples and code snippets.&lt;/p&gt;

&lt;blockquote&gt;
&lt;p&gt;Read more about &lt;a href="https://dev.to/kambale/pandas-the-gateway-to-data-exploration-and-visualization-4g5l"&gt;Pandas&lt;/a&gt; here.&lt;/p&gt;
&lt;/blockquote&gt;

&lt;h3&gt;
  
  
  Key Features of PandasAI
&lt;/h3&gt;

&lt;p&gt;PandasAI extends the functionality of Pandas with additional features. Some of the key features are:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Feature Engineering&lt;/strong&gt; : PandasAI offers a wide range of feature engineering techniques such as one-hot encoding, binning, scaling, and generating new features.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;AI-driven Operations&lt;/strong&gt; : PandasAI integrates with popular AI libraries like scikit-learn and TensorFlow, enabling seamless integration of machine learning and deep learning algorithms with Pandas data-frames.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Exploratory Data Analysis (EDA)&lt;/strong&gt;: It provides various statistical and visualization tools for EDA, including descriptive statistics, correlation analysis, and interactive visualizations.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Time Series Analysis&lt;/strong&gt; : PandasAI includes powerful tools for handling time series data, such as resampling, lagging, rolling computations, and date-based operations.&lt;/p&gt;

&lt;h1&gt;
  
  
  Installation of PandasAI
&lt;/h1&gt;

&lt;p&gt;To install PandasAI, you can use the &lt;code&gt;pip&lt;/code&gt; package manager, which simplifies the process. Run the following command to install PandasAI:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;pandasai

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;If you wish to use PandasAI in a Google Colab Notebook like I am doing, you need to run the following commands to install PandasAI and other necessary modules:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;&lt;span class="o"&gt;!&lt;/span&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;pandasai
&lt;span class="o"&gt;!&lt;/span&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;langchain

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;After successfully installing PandasAI, you need to import it along with the Pandas library to start using its enhanced functionalities.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;pandasai&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;PandasAI&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;pandasai.llm.openai&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;OpenAI&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To use the OpenAI library, we will have to generate an OpenAI API Key &lt;a href="https://platform.openai.com/account/api-keys"&gt;here&lt;/a&gt;. Also, ensure that you set up a paid account for access to OpenAI's Large Language Models (LLM) which are priced per 1,000 tokens.&lt;/p&gt;

&lt;h1&gt;
  
  
  Functionality of PandasAI
&lt;/h1&gt;

&lt;p&gt;Before exploring the functionality of PandasAI, we will have to first set up an OpenAI environment and create an instance of PandasAI with the OpenAI environment we created.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Loading the API token to OpenAI environment
&lt;/span&gt;&lt;span class="n"&gt;env&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;OpenAI&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;api_token&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;OpenAI API Key&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Initializing an instance of PandasAI with OpenAI environment
&lt;/span&gt;&lt;span class="n"&gt;pandasAi&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;PandasAI&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;env&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Data Exploration
&lt;/h3&gt;

&lt;p&gt;In this article, we are going to use the employee dataset containing information about employees, including their names, ages, salaries, and departments. However, this dataset has missing values in some of the columns. Below is a screenshot of the dataset:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--G13LBIlo--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686866709849/6b89f818-c64e-44c4-b284-62ca5d7f3143.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--G13LBIlo--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686866709849/6b89f818-c64e-44c4-b284-62ca5d7f3143.png" alt="" width="451" height="325"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;To explore our data, we will now prompt or ask &lt;code&gt;pandasAi&lt;/code&gt; by passing in our dataset name and the question we wish to ask. In the code snippet below, we will ask PandasAI to tell us which employees have null values in the dataset.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Which employees have null values?&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--9Hmlmipg--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686866175977/51decd4f-4589-471c-96b2-386c6c7d2c89.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--9Hmlmipg--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686866175977/51decd4f-4589-471c-96b2-386c6c7d2c89.png" alt="" width="467" height="167"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;To check whether PandasAI is correct with the output given from our dataset, we can run a query for null values using Pandas itself with the &lt;code&gt;isna()&lt;/code&gt; function.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Check for null values using Pandas
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;isna&lt;/span&gt;&lt;span class="p"&gt;().&lt;/span&gt;&lt;span class="nf"&gt;any&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)]&lt;/span&gt;
&lt;span class="c1"&gt;# Print the rows with the null values
&lt;/span&gt;&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--FzVYi2gk--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686866485623/fea66a6e-724b-48bb-a865-205929a2e647.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--FzVYi2gk--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686866485623/fea66a6e-724b-48bb-a865-205929a2e647.png" alt="" width="467" height="98"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;From the above output, we can see that both Pandas and PandasAI return the same rows that have null values in our dataset.&lt;/p&gt;

&lt;p&gt;Next, we can prompt &lt;code&gt;pandasAi&lt;/code&gt; to tell us which employee earns more than all the employees in the dataset. We will run the following code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Who earns more than the others?&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--875Ku8Ln--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686867077123/09762bd3-7f81-4e11-9fc1-e86335e80167.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--875Ku8Ln--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686867077123/09762bd3-7f81-4e11-9fc1-e86335e80167.png" alt="" width="451" height="38"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;With a salary of 2000000, Marvin is the highest-paid employee. And we can see from the output above that PandasAI is correct.&lt;/p&gt;

&lt;p&gt;Up next, we can ask PandasAI to fill in the null values for the employees without salaries. To do this, we are going to run the following code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Fill in only the null values to 5 figure salaries&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--vUpvuu37--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686868481972/ae10a13f-3ba0-4d68-a85f-7fa2f729df83.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--vUpvuu37--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686868481972/ae10a13f-3ba0-4d68-a85f-7fa2f729df83.png" alt="" width="447" height="103"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;From the above output, PandasAI can fill in the null values with a 5-figure salary for each employee who previously had a null value. The salary is uniform for each, but you can always twist the question/prompt to randomize the numbers.&lt;/p&gt;

&lt;p&gt;In the next prompt, we can ask PandasAI to tell us how many employees are in different departments. This is crucial if one wishes to analyze employee data to know how employees are distributed across departments. In the code below, we prompt for the number of employees in the Sales department:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;How many employees are in the Sales department?&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--egsnZH3S--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686869264768/a66fc227-636d-449f-99c7-f3f128ae91d6.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--egsnZH3S--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686869264768/a66fc227-636d-449f-99c7-f3f128ae91d6.png" alt="" width="543" height="36"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Indeed there are 5 employees in the Sales department in our dataset.&lt;/p&gt;

&lt;p&gt;There's more a data analyst can prompt PandasAI to do in terms of data exploration. As you can realize, we do not run the traditional Pandas codes and queries to analyze our dataset, but instead, supply English language prompts and the generative AI library will use OpenAI's LLM capabilities to return outputs.&lt;/p&gt;

&lt;h3&gt;
  
  
  Data Visualization
&lt;/h3&gt;

&lt;p&gt;As with Pandas, PandasAI can also be used to visualize data with simple prompts supplied to &lt;code&gt;pandasAi&lt;/code&gt;. Below, we prompt PandasAI to plot visual charts of our data.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Plot a barplot of all employees and their salaries&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--9Z_dQ2IL--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686869942147/67d4a043-c129-41b6-8166-804d6efe110a.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--9Z_dQ2IL--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686869942147/67d4a043-c129-41b6-8166-804d6efe110a.png" alt="" width="800" height="541"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We can plot the employee's salaries grouped by their departments and see which departments get more salary amounts compared to other departments. To do that, we twist the prompt as seen below:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Plot a barplot of all employees and their salaries grouped in their departments&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--trRwLqH5--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686870752231/7ce98ec4-bb0f-4bad-9d7b-bab6f1a5a4e8.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--trRwLqH5--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686870752231/7ce98ec4-bb0f-4bad-9d7b-bab6f1a5a4e8.png" alt="" width="576" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Next, we can plot a boxplot for the employee's salary and age with the following prompt:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Plot a boxplot out of the employee salary and age&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--YtGAu8mj--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686871372531/535ee4ca-5199-4bff-819a-546dae7a9550.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--YtGAu8mj--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686871372531/535ee4ca-5199-4bff-819a-546dae7a9550.png" alt="" width="556" height="428"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We can also show the relationship between the employee's salaries and their age. To do that, we run the following prompt:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;question&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Plot a scatter graph from the employee data&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;
&lt;span class="n"&gt;pandasAi&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;run&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;question&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--LagM8oFR--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686871578521/01c665ca-a57f-43e0-a274-5b3f55c4c2f1.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--LagM8oFR--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686871578521/01c665ca-a57f-43e0-a274-5b3f55c4c2f1.png" alt="" width="567" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;PandasAI extends the capabilities of Pandas by providing advanced data manipulation, analysis, and AI-driven operations. In this article, we covered key features, and use cases, and provided examples and code snippets to illustrate the functionality of PandasAI. By leveraging PandasAI, you can streamline your data preprocessing pipeline and seamlessly integrate AI techniques into your Pandas workflows.&lt;/p&gt;

&lt;h1&gt;
  
  
  Resources
&lt;/h1&gt;

&lt;p&gt;&lt;a href="https://colab.research.google.com/drive/1sB1gAaz6GGlLkmkhP_foxZ3-x4qsZo-z?usp=sharing"&gt;Google Colab Notebook&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="https://drive.google.com/file/d/12pV2KysMz0UPrH7GEgH8x3OwQwtJgJkw/view?usp=sharing"&gt;Dataset&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="https://github.com/gventuri/pandas-ai"&gt;PandasAI Repository&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="https://pandas-ai.readthedocs.io/en/latest/"&gt;PandasAI Docs&lt;/a&gt;&lt;/p&gt;

</description>
    </item>
    <item>
      <title>TensorFlow v FLAX: A Comparison of Frameworks</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Mon, 12 Jun 2023 19:47:11 +0000</pubDate>
      <link>https://dev.to/kambale/tensorflow-v-flax-a-comparison-of-frameworks-3a1m</link>
      <guid>https://dev.to/kambale/tensorflow-v-flax-a-comparison-of-frameworks-3a1m</guid>
      <description>&lt;h1&gt;
  
  
  Introduction
&lt;/h1&gt;

&lt;p&gt;TensorFlow and FLAX are two popular frameworks that have gained significant traction in the deep learning community. In this article, we will explore and compare TensorFlow and FLAX, focusing on their features, functionality, advantages, and use cases.&lt;/p&gt;

&lt;h2&gt;
  
  
  What is TensorFlow
&lt;/h2&gt;

&lt;p&gt;TensorFlow, developed by Google, is a widely adopted open-source framework for building machine learning and deep learning models. It provides a comprehensive ecosystem of tools, libraries, and resources to simplify the development and deployment of AI models. TensorFlow utilizes a dataflow graph paradigm, where computations are represented as a graph of nodes and edges.&lt;/p&gt;

&lt;h2&gt;
  
  
  What is FLAX
&lt;/h2&gt;

&lt;p&gt;FLAX, developed by Google Research, is a new deep learning framework that aims to provide a more flexible and transparent approach to model development. It is built on top of JAX, a composable and high-performance library for numerical computing. FLAX follows a functional programming style and emphasizes code simplicity and modularity.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Key Features of TensorFlow&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Ease of Use:&lt;/strong&gt; TensorFlow provides a high-level API that enables users to quickly build and deploy models with minimal code.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Flexibility:&lt;/strong&gt; It supports a wide range of use cases, including computer vision, natural language processing, and reinforcement learning.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Scalability:&lt;/strong&gt; TensorFlow offers distributed computing capabilities, allowing models to be trained on multiple devices or across a cluster of machines.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Model Visualization:&lt;/strong&gt; TensorFlow includes TensorBoard, a powerful visualization tool for monitoring and debugging models.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Pre-Trained Models and Transfer Learning:&lt;/strong&gt; It provides a vast collection of pre-trained models and supports transfer learning, allowing users to leverage pre-existing knowledge in their models.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Key Features of FLAX&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Modularity:&lt;/strong&gt; FLAX promotes a modular and functional approach to model building, making it easier to reason about the code and modify model components.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Automatic Differentiation:&lt;/strong&gt; FLAX leverages JAX's automatic differentiation capabilities, which enable efficient computation of gradients for optimization algorithms.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Research-Focused:&lt;/strong&gt; FLAX is designed with research in mind, offering flexibility and extensibility to experiment with new model architectures and training techniques.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Debugging and Profiling:&lt;/strong&gt; FLAX integrates with JAX's profiling tools, making it easier to diagnose performance bottlenecks and optimize model training.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Reproducibility:&lt;/strong&gt; FLAX enforces deterministic execution by default, ensuring that experiments can be easily reproduced.&lt;/p&gt;

&lt;h1&gt;
  
  
  Functionality
&lt;/h1&gt;

&lt;p&gt;Now let's dive deeper into the comparison between TensorFlow and FLAX across various dimensions:&lt;/p&gt;

&lt;h2&gt;
  
  
  Compatibility and Integration
&lt;/h2&gt;

&lt;p&gt;TensorFlow is compatible with a wide range of hardware and software platforms. It supports CPUs, GPUs, and TPUs, making it suitable for various deployment scenarios. TensorFlow integrates well with other popular libraries and frameworks, such as Keras, TensorFlow Probability, and TensorFlow Data.&lt;/p&gt;

&lt;p&gt;FLAX, being built on top of JAX, inherits JAX's compatibility with accelerators like GPUs and TPUs. It integrates seamlessly with other JAX libraries and can take advantage of JAX's automatic differentiation and GPU acceleration capabilities.&lt;/p&gt;

&lt;p&gt;TensorFlow - Using TensorFlow with GPUs and TPUs:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;

&lt;span class="c1"&gt;# Check available devices
&lt;/span&gt;&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;config&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;list_physical_devices&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;

&lt;span class="c1"&gt;# Use GPU for computation
&lt;/span&gt;&lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;device&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;/GPU:0&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="c1"&gt;# TensorFlow operations
&lt;/span&gt;
&lt;span class="c1"&gt;# Use TPU for computation
&lt;/span&gt;&lt;span class="n"&gt;resolver&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;distribute&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cluster_resolver&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;TPUClusterResolver&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;tpu&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;grpc://ip_address:8470&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;config&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;experimental_connect_to_cluster&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;resolver&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tpu&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;experimental&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;initialize_tpu_system&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;resolver&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;strategy&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;distribute&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;TPUStrategy&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;resolver&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;strategy&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;scope&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
    &lt;span class="c1"&gt;# TensorFlow operations
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;FLAX - Using JAX and FLAX with GPUs and TPUs:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;jax.numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;

&lt;span class="c1"&gt;# Check available devices
&lt;/span&gt;&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;devices&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;

&lt;span class="c1"&gt;# Use GPU for computation
&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;devices&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;gpu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;jit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;function&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Use TPU for computation
&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;devices&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;tpu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;jit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;function&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Maturity and Stability
&lt;/h2&gt;

&lt;p&gt;TensorFlow has been in development for several years and has reached a high level of maturity and stability. It has a proven track record in large-scale production deployments and is backed by a major technology company like Google.&lt;/p&gt;

&lt;p&gt;FLAX, being a newer framework, is still evolving and may undergo more frequent updates and changes. While this provides opportunities for innovation and rapid development, it may also mean that certain features or optimizations are still under development.&lt;/p&gt;

&lt;p&gt;TensorFlow - Stability and production readiness:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;

&lt;span class="c1"&gt;# Use TensorFlow for production-grade projects
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;
    &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
    &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;softmax&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="p"&gt;])&lt;/span&gt;

&lt;span class="c1"&gt;# Train and evaluate the model
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;compile&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;adam&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;sparse_categorical_crossentropy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;metrics&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;accuracy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;train_dataset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;validation_data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;val_dataset&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;FLAX - Innovations and rapid development:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;linen&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;

&lt;span class="c1"&gt;# Use FLAX for research and experimental projects
&lt;/span&gt;&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;MyModel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;setup&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;dense&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;__call__&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;relu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;output&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;MyModel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Train and evaluate the model
&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optim&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Adam&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.001&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;create&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;dataset&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;train_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Model Development
&lt;/h2&gt;

&lt;p&gt;TensorFlow provides two main APIs for model development: the high-level Keras API and the lower-level TensorFlow API. The Keras API offers a user-friendly interface for building and training models with minimal code. On the other hand, the TensorFlow API provides more flexibility and control over the model architecture and training process.&lt;/p&gt;

&lt;p&gt;FLAX, being built on top of JAX, follows a functional programming style. It promotes a modular approach to model development, allowing users to define models as composable functions. This design makes it easier to reason about the code, modify model components, and experiment with new architectures.&lt;/p&gt;

&lt;p&gt;Making a simple feed-forward neural network in TensorFlow using the Keras API:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;

&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;
  &lt;span class="c1"&gt;# Add a dense layer with 64 units and ReLU activation
&lt;/span&gt;  &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
  &lt;span class="c1"&gt;# Add a dense layer with 10 units (output layer)
&lt;/span&gt;  &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Making the same feed-forward neural network in FLAX:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;linen&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;FeedForward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
  &lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;

  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;setup&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="c1"&gt;# Define a dense layer with hidden_dim units
&lt;/span&gt;    &lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;dense&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
    &lt;span class="c1"&gt;# Define an output layer with 10 units 
&lt;/span&gt;    &lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  

  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;__call__&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="c1"&gt;# Apply ReLU activation to the dense layer
&lt;/span&gt;    &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;relu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;  
    &lt;span class="c1"&gt;# Return the output
&lt;/span&gt;    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;self&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;output&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Training and Optimization
&lt;/h2&gt;

&lt;p&gt;Both TensorFlow and FLAX support various optimization algorithms, such as stochastic gradient descent (SGD), Adam, and RMSprop. TensorFlow provides a wide range of pre-built optimizers, while FLAX allows users to define custom optimizers easily.&lt;/p&gt;

&lt;p&gt;TensorFlow uses the concept of eager execution by default, which allows for immediate computation and easy debugging. FLAX, on the other hand, follows a more functional style and separates the model definition from the training loop, which can provide better optimization and performance.&lt;/p&gt;

&lt;p&gt;Training a model in TensorFlow:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Define an Adam optimizer with learning rate 0.001
&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optimizers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Adam&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.001&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
&lt;span class="c1"&gt;# Define the loss function
&lt;/span&gt;&lt;span class="n"&gt;loss_fn&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;losses&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;SparseCategoricalCrossentropy&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;from_logits&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;labels&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;dataset&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
  &lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;GradientTape&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tape&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;logits&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="c1"&gt;# Compute the loss
&lt;/span&gt;    &lt;span class="n"&gt;loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;labels&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;logits&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
  &lt;span class="c1"&gt;# Compute the gradients
&lt;/span&gt;  &lt;span class="n"&gt;grads&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tape&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;gradient&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;trainable_variables&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
  &lt;span class="c1"&gt;# Update the model parameters
&lt;/span&gt;  &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;apply_gradients&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nf"&gt;zip&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grads&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;trainable_variables&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Training the same model in FLAX:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Define an Adam optimizer with learning rate 0.001
&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optim&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Adam&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.001&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
&lt;span class="c1"&gt;# Define the loss function
&lt;/span&gt;&lt;span class="n"&gt;loss_fn&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;logits_cross_entropy_loss&lt;/span&gt;  
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;train_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;logits&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;inputs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="c1"&gt;# Compute the loss
&lt;/span&gt;    &lt;span class="n"&gt;loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;labels&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;labels&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;logits&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;logits&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
  &lt;span class="c1"&gt;# Compute the gradient function
&lt;/span&gt;  &lt;span class="n"&gt;grad_fn&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;grad&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
  &lt;span class="c1"&gt;# Compute the gradients
&lt;/span&gt;  &lt;span class="n"&gt;grad&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;grad_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;target&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
  &lt;span class="c1"&gt;# Update the model parameters
&lt;/span&gt;  &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;apply_gradient&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grad&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
  &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;dataset&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
  &lt;span class="c1"&gt;# Perform a training step
&lt;/span&gt;  &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;train_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Distributed Training
&lt;/h2&gt;

&lt;p&gt;Both TensorFlow and FLAX provide support for distributed training across multiple devices or machines. TensorFlow offers the &lt;code&gt;tf.distribute.Strategy&lt;/code&gt; API, which allows users to distribute training across multiple GPUs or machines seamlessly. FLAX, being built on top of JAX, inherits JAX's built-in support for distributed computing.&lt;/p&gt;

&lt;p&gt;Distributed training in TensorFlow using &lt;code&gt;tf.distribute.Strategy&lt;/code&gt;:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Create a MirroredStrategy for synchronous training across multiple GPUs
&lt;/span&gt;&lt;span class="n"&gt;strategy&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;distribute&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;MirroredStrategy&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  

&lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;strategy&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;scope&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
  &lt;span class="c1"&gt;# Create the model within the strategy's scope
&lt;/span&gt;  &lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;create_model&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  
  &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optimizers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Adam&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
  &lt;span class="c1"&gt;# Train the model
&lt;/span&gt;  &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;train_dataset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;validation_data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;val_dataset&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Distributed training in FLAX using &lt;code&gt;jax.pmap&lt;/code&gt;:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;create_model&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optim&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Adam&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.001&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nd"&gt;@jax.pmap&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;train_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;logits&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;inputs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="c1"&gt;# Compute the loss
&lt;/span&gt;    &lt;span class="n"&gt;loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;labels&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;labels&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;logits&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;logits&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
  &lt;span class="c1"&gt;# Compute the gradient function
&lt;/span&gt;  &lt;span class="n"&gt;grad_fn&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;grad&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;loss_fn&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
  &lt;span class="c1"&gt;# Compute the gradients
&lt;/span&gt;  &lt;span class="n"&gt;grad&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;grad_fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;target&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
  &lt;span class="c1"&gt;# Update the model parameters
&lt;/span&gt;  &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;apply_gradient&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grad&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
  &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;dataset&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
  &lt;span class="c1"&gt;# Perform a training step
&lt;/span&gt;  &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;train_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Model Serving and Deployment
&lt;/h2&gt;

&lt;p&gt;TensorFlow provides robust tools for model serving and deployment. TensorFlow Serving allows you to serve trained models over a network, making it easier to integrate models into production systems. TensorFlow also supports TensorFlow Lite, which enables the deployment of models on mobile and edge devices with optimized performance.&lt;/p&gt;

&lt;p&gt;FLAX, being a research-focused framework, does not have built-in tools specifically designed for model serving and deployment. However, FLAX models can be exported and deployed using other frameworks or custom deployment pipelines.&lt;/p&gt;

&lt;p&gt;TensorFlow - Serving a trained model using TensorFlow Serving:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow_serving.apis&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;predict_pb2&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow_serving.apis&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;prediction_service_pb2_grpc&lt;/span&gt;

&lt;span class="c1"&gt;# Create a gRPC channel to connect to the TensorFlow Serving server
&lt;/span&gt;&lt;span class="n"&gt;channel&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;grpc&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;insecure_channel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;localhost:8500&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;stub&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;prediction_service_pb2_grpc&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;PredictionServiceStub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;channel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Create a request for inference
&lt;/span&gt;&lt;span class="n"&gt;request&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;predict_pb2&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;PredictRequest&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;request&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model_spec&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;my_model&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;
&lt;span class="n"&gt;request&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model_spec&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;signature_name&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;serving_default&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;
&lt;span class="n"&gt;request&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;input&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="nc"&gt;CopyFrom&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;make_tensor_proto&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;input_data&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;span class="c1"&gt;# Send the request and get the response
&lt;/span&gt;&lt;span class="n"&gt;response&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;stub&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;request&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;output_data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;make_ndarray&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;response&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;outputs&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;output&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;FLAX - Exporting a trained model for deployment using a custom pipeline:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;serialization&lt;/span&gt;

&lt;span class="c1"&gt;# Export the FLAX model
&lt;/span&gt;&lt;span class="n"&gt;model_params&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;params&lt;/span&gt;
&lt;span class="n"&gt;serialized_model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;serialization&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;to_bytes&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model_params&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Save the serialized model to a file
&lt;/span&gt;&lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="nf"&gt;open&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;model.flax&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;wb&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;write&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;serialized_model&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Deploy the exported model using a custom deployment pipeline
# ... (Implementation depends on the deployment setup)
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Learning Curve
&lt;/h2&gt;

&lt;p&gt;TensorFlow has a gentle learning curve, especially when using the Keras API, which provides a high-level abstraction for model development. Its extensive documentation and broad community support make it easier for beginners to get started.&lt;/p&gt;

&lt;p&gt;FLAX, with its functional programming style and modular approach, may have a steeper learning curve, especially for those who are new to JAX or functional programming concepts. However, it offers a deeper level of control and flexibility for advanced users and researchers.&lt;/p&gt;

&lt;p&gt;TensorFlow - Easy learning curve with Keras API:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;

&lt;span class="c1"&gt;# Define a model using the Keras API
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;
    &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
    &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;softmax&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="p"&gt;])&lt;/span&gt;

&lt;span class="c1"&gt;# Compile and train the model
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;compile&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;adam&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;sparse_categorical_crossentropy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;metrics&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;accuracy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;train_dataset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;validation_data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;val_dataset&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;FLAX - Steeper learning curve with functional programming style:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;

&lt;span class="c1"&gt;# Define a model using FLAX with functional programming style
&lt;/span&gt;&lt;span class="nd"&gt;@jax.jit&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;params&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;dense&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;dense&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;initialize_carry&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;PRNGKey&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;relu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;output&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;initialize_carry&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;PRNGKey&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;output&lt;/span&gt;

&lt;span class="c1"&gt;# Train the model
&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;flax&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optim&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Adam&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.001&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;create&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;params&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;dataset&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;train_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Ecosystem and Community
&lt;/h1&gt;

&lt;p&gt;TensorFlow has a mature and extensive ecosystem with a wide range of libraries, tools, and resources. It offers TensorFlow Hub for sharing and discovering pre-trained models, TensorFlow Serving for deploying models in production, and TensorFlow Lite for running models on mobile and edge devices.&lt;/p&gt;

&lt;p&gt;FLAX is a relatively new framework and its ecosystem is still growing. However, FLAX benefits from JAX's ecosystem, which includes libraries for distributed computing, automatic differentiation, and GPU acceleration.&lt;/p&gt;

&lt;h2&gt;
  
  
  Industry Adoption
&lt;/h2&gt;

&lt;p&gt;TensorFlow - Widely adopted in the industry:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;TensorFlow in Production: &lt;a href="https://www.tensorflow.org/guide/production"&gt;&lt;strong&gt;https://www.tensorflow.org/guide/production&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;TensorFlow Success Stories: &lt;a href="https://www.tensorflow.org/stories"&gt;&lt;strong&gt;https://www.tensorflow.org/stories&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;FLAX - Growing adoption in research and cutting-edge projects:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;FLAX GitHub Showcase: &lt;a href="https://github.com/google/flax#showcase"&gt;&lt;strong&gt;https://github.com/google/flax#showcase&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;FLAX Research Papers and Publications: &lt;a href="https://github.com/google/flax#research-papers-and-publications"&gt;&lt;strong&gt;https://github.com/google/flax#research-papers-and-publications&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  Community and Documentation
&lt;/h2&gt;

&lt;p&gt;TensorFlow - Accessing TensorFlow's extensive documentation and resources:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;TensorFlow Official Website: &lt;a href="https://www.tensorflow.org/"&gt;&lt;strong&gt;https://www.tensorflow.org/&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;TensorFlow GitHub Repository: &lt;a href="https://github.com/tensorflow/tensorflow"&gt;&lt;strong&gt;https://github.com/tensorflow/tensorflow&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;TensorFlow Tutorials: &lt;a href="https://www.tensorflow.org/tutorials"&gt;&lt;strong&gt;https://www.tensorflow.org/tutorials&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;TensorFlow Community: &lt;a href="https://www.tensorflow.org/community"&gt;&lt;strong&gt;https://www.tensorflow.org/community&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;FLAX - Accessing JAX and FLAX documentation and resources:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;JAX Official Website: &lt;a href="https://jax.readthedocs.io/"&gt;&lt;strong&gt;https://jax.readthedocs.io/&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;JAX GitHub Repository: &lt;a href="https://github.com/google/jax"&gt;&lt;strong&gt;https://github.com/google/jax&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;JAX Tutorials: &lt;a href="https://jax.readthedocs.io/en/latest/notebooks.html"&gt;&lt;strong&gt;https://jax.readthedocs.io/en/latest/notebooks.html&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;FLAX GitHub Repository: &lt;a href="https://github.com/google/flax"&gt;&lt;strong&gt;https://github.com/google/flax&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;FLAX Community: &lt;a href="https://github.com/google/flax#community"&gt;&lt;strong&gt;https://github.com/google/flax#community&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;TensorFlow and FLAX are powerful frameworks for building and training machine learning and deep learning models. TensorFlow provides a rich set of features, and an extensive ecosystem, and is widely adopted in both research and industry. On the other hand, FLAX offers a more flexible and functional approach to model development, making it well-suited for research and experimentation.&lt;/p&gt;

&lt;p&gt;The choice between TensorFlow and FLAX depends on the specific requirements of your project. TensorFlow is a great choice for developers who value a mature ecosystem, ease of use, and extensive community support. FLAX is a good fit for researchers and developers who prefer a functional programming style, modularity, and flexibility.&lt;/p&gt;

&lt;p&gt;Ultimately, both frameworks have their strengths and use cases, and choosing the right one depends on your specific needs and preferences. Good luck at choosing one!&lt;/p&gt;

</description>
    </item>
    <item>
      <title>PCOS Detection Using Machine Learning</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Thu, 08 Jun 2023 15:39:55 +0000</pubDate>
      <link>https://dev.to/kambale/pcos-detection-using-machine-learning-3g4m</link>
      <guid>https://dev.to/kambale/pcos-detection-using-machine-learning-3g4m</guid>
      <description>&lt;h1&gt;
  
  
  Introduction
&lt;/h1&gt;

&lt;p&gt;Polycystic Ovary Syndrome (PCOS) is a common hormonal disorder that affects many women of reproductive age. It is characterized by the presence of multiple cysts in the ovaries, irregular menstrual cycles, and symptoms such as excessive hair growth, acne, and weight gain.&lt;/p&gt;

&lt;p&gt;Early detection of PCOS is crucial for effective management and treatment of the condition. Machine Learning (ML) techniques can be utilized to build predictive models that can aid in the detection and diagnosis of PCOS. In this article, we will explore the process of PCOS detection using ML and provide code snippets for implementation.&lt;/p&gt;

&lt;h1&gt;
  
  
  &lt;strong&gt;Understanding PCOS Detection&lt;/strong&gt;
&lt;/h1&gt;

&lt;p&gt;PCOS detection involves analyzing various factors such as medical history, symptoms, physical examinations, and laboratory tests. ML algorithms can learn patterns and relationships within these factors to predict the likelihood of PCOS. We will use Python and the scikit-learn library, which provides a wide range of ML algorithms and utilities.&lt;/p&gt;

&lt;h2&gt;
  
  
  Import the Required Libraries
&lt;/h2&gt;

&lt;p&gt;We will need to import essential libraries like Pandas, scikit-learn, and Seaborn, NumPy for numerical computations, and Matplotlib for visualizing the results. Create a new Python script, and import the necessary libraries as shown below:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;
&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="n"&gt;matplotlib&lt;/span&gt; &lt;span class="n"&gt;inline&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;seaborn&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;sns&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.model_selection&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;train_test_split&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.preprocessing&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;StandardScaler&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.ensemble&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;RandomForestClassifier&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.svm&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;SVC&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.metrics&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;accuracy_score&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;precision_score&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;recall_score&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;f1_score&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Data Collection&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Gather a dataset that includes relevant features and labels. The features can include medical history, symptoms, hormone levels, and other related variables, while the labels indicate whether an individual has been diagnosed with PCOS or not.&lt;/p&gt;

&lt;p&gt;Below is the dataset that we are going to use in this article:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--tNyllHB0--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686140239497/26e80cc1-ffb9-41a2-acaa-353844e53b0a.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--tNyllHB0--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686140239497/26e80cc1-ffb9-41a2-acaa-353844e53b0a.png" alt="" width="800" height="321"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Load the dataset in a Google Colab or Jupyter Notebook environment&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Load the dataset
&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;read_csv&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;pcos_dataset.csv&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Data Preprocessing&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Clean the dataset by handling missing values, normalizing numerical features, and encoding categorical variables.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Check for the sum of null values in each column
&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;isnull&lt;/span&gt;&lt;span class="p"&gt;().&lt;/span&gt;&lt;span class="nf"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--dgEx4wS3--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686147471095/5250cfb9-251c-4098-9ce1-e2c3e0690c13.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--dgEx4wS3--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686147471095/5250cfb9-251c-4098-9ce1-e2c3e0690c13.png" alt="" width="800" height="466"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;You will realize that &lt;code&gt;Marriage Status&lt;/code&gt; and &lt;code&gt;Fast Food&lt;/code&gt; both have a null value that need to be cleaned (dropped).&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Drop all the null values in the dataset
&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;dropna&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="c1"&gt;# Check again for the sum of null values in each column
&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;isnull&lt;/span&gt;&lt;span class="p"&gt;().&lt;/span&gt;&lt;span class="nf"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--GpYUwTtZ--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686149526562/55fce1fd-cc25-4cd8-ac7e-eb181f6146cc.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--GpYUwTtZ--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686149526562/55fce1fd-cc25-4cd8-ac7e-eb181f6146cc.png" alt="" width="800" height="507"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Depending on the dataset that you have, sometimes the data type of the data collected could be &lt;code&gt;object&lt;/code&gt; instead of &lt;code&gt;int64&lt;/code&gt; or &lt;code&gt;float64&lt;/code&gt;. It is our duty to typecast the data to the right data type for numerical computation and manipulation. The code snippet ensures that we cast the data to numerical values.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;column&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;columnSeriesObj&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;column&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;column&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;to_numeric&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;column&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;errors&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;coerce&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;We can now visualize our data using Seaborn's &lt;code&gt;pairplot&lt;/code&gt; function. The pairplot function creates a grid of scatterplots and histograms to visualize the pairwise relationships between multiple variables in a dataset. It provides a quick way to explore the correlation and distribution of variables.&lt;/p&gt;

&lt;p&gt;In our case, we are going to visualize the pairwise relationship between the &lt;code&gt;Age&lt;/code&gt;, &lt;code&gt;Weight&lt;/code&gt;, &lt;code&gt;Height&lt;/code&gt; and &lt;code&gt;BMI&lt;/code&gt; of the patients to find any correlation between these features.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;sns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;pairplot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;iloc&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--1BUP4Acu--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686150710470/a96e4011-f9f9-4c14-b228-4ef13c484a01.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--1BUP4Acu--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686150710470/a96e4011-f9f9-4c14-b228-4ef13c484a01.png" alt="" width="800" height="507"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;To get more insights into the data we are looking at, we shall plot histograms showing the distribution of &lt;code&gt;Age&lt;/code&gt;, &lt;code&gt;Weight&lt;/code&gt; and &lt;code&gt;Marital Status&lt;/code&gt; among the patients.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;plot_hist&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;variable&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;figure&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;figsize&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;9&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;hist&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;variable&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;bins&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;variable&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Frequency&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;{} distribution with hist&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;format&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;variable&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="n"&gt;numericVar&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt; Age (yrs)&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Weight (Kg)&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Marraige Status (Yrs)&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;numericVar&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="nf"&gt;plot_hist&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--qk0YJrtw--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686170530207/7f829c1c-20f6-45a4-b342-4ac1c4af9bf5.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--qk0YJrtw--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686170530207/7f829c1c-20f6-45a4-b342-4ac1c4af9bf5.png" alt="" width="800" height="739"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Lastly, we shall plot a correlation graph between the features in that dataset. This is important when choosing which features to use when predicting PCOS in patients. As an ML engineer, you need to choose optimal features that will give you the best accuracy in prediction, not just 99%.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;corr_matrix&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;corr&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;subplots&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;figsize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;30&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;sns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;heatmap&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;corr_matrix&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;annot&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;True&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;fmt&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;.2f&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Correlation Between Features&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--b4vq6auq--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686151692419/3f18a2de-a979-4b8e-b0a3-641b55755f4a.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--b4vq6auq--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1686151692419/3f18a2de-a979-4b8e-b0a3-641b55755f4a.png" alt="" width="800" height="450"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Split the dataset into features and labels &lt;code&gt;X&lt;/code&gt; and &lt;code&gt;Y&lt;/code&gt; and then split the dataset into training and testing sets.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Split the dataset into features and labels
&lt;/span&gt;&lt;span class="n"&gt;X&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;iloc&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mi"&gt;41&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;values&lt;/span&gt;
&lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pcosData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;iloc&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;values&lt;/span&gt;

&lt;span class="c1"&gt;# Split the dataset into training and testing sets
&lt;/span&gt;&lt;span class="n"&gt;X_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;X_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;train_test_split&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_size&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;random_state&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;42&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Feature Selection&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Analyze the dataset to identify the most informative features. This step helps improve model performance and reduces computational complexity. Techniques such as correlation analysis, feature importance ranking, and domain expertise can aid in feature selection.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Normalize the numerical features
&lt;/span&gt;&lt;span class="n"&gt;sc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;StandardScaler&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;X_train&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sc&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_train&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;X_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sc&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Model Selection&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Choose an appropriate ML algorithm for PCOS detection. Commonly used algorithms include Logistic Regression, Support Vector Machines (SVM), Random Forest, and Gradient Boosting. Consider the characteristics of the dataset, such as the number of features and the size of the dataset, to make an informed choice. In our case, we are going to use Support Vector Machine (SVM) and Random Forest.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Create a Random Forest model
&lt;/span&gt;&lt;span class="n"&gt;rf_model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;RandomForestClassifier&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Create an SVM model
&lt;/span&gt;&lt;span class="n"&gt;svm_model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;SVC&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Model Training&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Train the selected ML model using the training dataset. During training, the model learns the patterns and relationships between the features and labels. This step involves optimization techniques to find the best set of model parameters.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Train the Random Forest model
&lt;/span&gt;&lt;span class="n"&gt;rf_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Train the SVM model
&lt;/span&gt;&lt;span class="n"&gt;svm_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Make Predictions
&lt;/h2&gt;

&lt;p&gt;Once the model is trained and evaluated, it can be used to make predictions on new, unseen data. The model takes in input features related to a specific individual and predicts the probability of that individual having PCOS.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Make predictions on the testing set with RF
&lt;/span&gt;&lt;span class="n"&gt;rf_pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rf_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Make predictions on the testing set with SVM
&lt;/span&gt;&lt;span class="n"&gt;svm_pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;svm_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Model Evaluation&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Evaluate the trained model using the testing dataset. Performance metrics such as accuracy, precision, recall, and F1 score can be used to assess the model's performance. Adjust the model's hyperparameters if necessary to improve performance.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Evaluate the Random Forest model
&lt;/span&gt;&lt;span class="n"&gt;rf_accuracy&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;accuracy_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;rf_precision&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;precision_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;rf_recall&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;recall_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;rf_f1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;f1_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Random Forest Accuracy:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_accuracy&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Random Forest Precision:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_precision&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Random Forest Recall:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_recall&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Random Forest F1 Score:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rf_f1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Evaluate the SVM model
&lt;/span&gt;&lt;span class="n"&gt;svm_accuracy&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;accuracy_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;svm_precision&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;precision_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;svm_recall&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;recall_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;svm_f1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;f1_score&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;SVM Accuracy:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_accuracy&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;SVM Precision:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_precision&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;SVM Recall:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_recall&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;SVM F1 Score:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;svm_f1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Model Deployment
&lt;/h2&gt;

&lt;p&gt;After successfully training and evaluating the model, we can deploy it to make PCOS diagnoses on new, unseen data. This could involve integrating the model into a web application, mobile app, or any other suitable platform.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# Save the trained RF model
&lt;/span&gt;&lt;span class="n"&gt;rf_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;save&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;pcos_rf_model.h5&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Save the trained SVM model
&lt;/span&gt;&lt;span class="n"&gt;svm_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;save&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;pcos_svm_model.h5&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  &lt;strong&gt;Conclusion&lt;/strong&gt;
&lt;/h1&gt;

&lt;p&gt;Machine Learning techniques provide a valuable tool for the detection and diagnosis of Polycystic Ovary Syndrome (PCOS). By leveraging ML algorithms, we can analyze various factors and build predictive models that assist healthcare professionals in identifying PCOS in patients. This article outlined the step-by-step process of PCOS detection using ML and provided code snippets for data preprocessing, model training, and evaluation. Remember to adapt the code to your specific dataset and explore different ML algorithms to find the best approach for PCOS detection.&lt;/p&gt;

&lt;h1&gt;
  
  
  Resources
&lt;/h1&gt;

&lt;p&gt;Access the code snippets in a Google Colab notebook &lt;a href="https://colab.research.google.com/drive/1D78IygybTGZJ_MYxLDVZ2Yfv3cl_veKQ?usp=sharing"&gt;&lt;strong&gt;here&lt;/strong&gt;&lt;/a&gt; (MIT License).&lt;/p&gt;

&lt;p&gt;Access the dataset used in this article &lt;a href="https://drive.google.com/drive/folders/1BVCpse-Dfa3uyBGCiYUVNjGTBtITvwXH?usp=sharing"&gt;here&lt;/a&gt; (MIT License). &lt;em&gt;Don't request access&lt;/em&gt;, &lt;strong&gt;Make A Copy.&lt;/strong&gt;&lt;/p&gt;

</description>
    </item>
    <item>
      <title>Techniques of Feature Extraction in Machine Learning</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Mon, 29 May 2023 23:11:17 +0000</pubDate>
      <link>https://dev.to/kambale/techniques-of-feature-extraction-in-machine-learning-2lfa</link>
      <guid>https://dev.to/kambale/techniques-of-feature-extraction-in-machine-learning-2lfa</guid>
      <description>&lt;h1&gt;
  
  
  &lt;strong&gt;Introduction&lt;/strong&gt;
&lt;/h1&gt;

&lt;p&gt;Feature extraction is a crucial step in machine learning that involves transforming raw input data into a set of meaningful features that can be used for training models. The goal is to reduce the dimensionality of the data, remove irrelevant information, and extract relevant patterns and characteristics that can improve the model's performance.&lt;/p&gt;

&lt;p&gt;Feature extraction is particularly useful when dealing with high-dimensional data, such as images, text documents, or sensor readings. By selecting and extracting informative features, we can reduce computational complexity, remove noise, and improve the model's ability to generalize. The resulting features should be discriminative, informative, and independent.&lt;/p&gt;

&lt;h1&gt;
  
  
  Feature Extraction Libraries
&lt;/h1&gt;

&lt;p&gt;Python provides several libraries that facilitate feature extraction:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;NumPy&lt;/strong&gt; : For numerical feature extraction and manipulation.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Pandas&lt;/strong&gt; : Ideal for handling tabular data and categorical feature extraction.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;scikit-learn&lt;/strong&gt; : Offers various feature extraction techniques and utilities.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;NLTK (Natural Language Toolkit)&lt;/strong&gt;: Useful for text feature extraction and processing.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;OpenCV&lt;/strong&gt; : Widely used for image feature extraction&lt;/p&gt;

&lt;h1&gt;
  
  
  Techniques of Feature Extraction
&lt;/h1&gt;

&lt;p&gt;There are several techniques for feature extraction depending on the data that one has. Below, we cover these different techniques and how they are applied in machine learning.&lt;/p&gt;

&lt;h2&gt;
  
  
  Numerical Feature Extraction
&lt;/h2&gt;

&lt;h3&gt;
  
  
  Scaling
&lt;/h3&gt;

&lt;p&gt;Scaling is essential to bringing numerical features onto a common scale, preventing one feature from dominating others. Common scaling techniques include Min-Max scaling and Z-score normalization. Min-Max scaling scales the features to a specific range, usually between 0 and 1, while Z-score normalization transforms the features to have zero mean and unit variance.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.preprocessing&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;MinMaxScaler&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[[&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;0.5&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;0.7&lt;/span&gt;&lt;span class="p"&gt;]]&lt;/span&gt;

&lt;span class="c1"&gt;# Create an instance of the MinMaxScaler
&lt;/span&gt;&lt;span class="n"&gt;scaler&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;MinMaxScaler&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Apply scaling to the data
&lt;/span&gt;&lt;span class="n"&gt;scaled_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;scaler&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;MinMaxScaler&lt;/code&gt; scales the features between 0 and 1, ensuring they are normalized&lt;/p&gt;

&lt;h3&gt;
  
  
  Binning
&lt;/h3&gt;

&lt;p&gt;Binning is useful when dealing with continuous numerical features. It involves dividing the range of values into multiple bins or intervals and assigning each value to a specific bin. Binning helps reduce noise and capture patterns within specific value ranges.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mf"&gt;2.5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;3.7&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;1.9&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;4.2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;5.1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;2.8&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="c1"&gt;# Create four bins from 1 to 6
&lt;/span&gt;&lt;span class="n"&gt;bins&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;linspace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 

&lt;span class="c1"&gt;# Assign each value to a bin
&lt;/span&gt;&lt;span class="n"&gt;binned_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;digitize&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bins&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;np.digitize&lt;/code&gt; function assigns each value to a bin based on its position in the specified bins.&lt;/p&gt;

&lt;h3&gt;
  
  
  Aggregation
&lt;/h3&gt;

&lt;p&gt;Aggregation involves computing statistical summaries of numerical features. Common aggregations include mean, median, standard deviation, minimum, maximum, and various percentiles. Aggregating features can provide insights into the overall distribution and characteristics of the data.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[[&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;18&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;]]&lt;/span&gt;

&lt;span class="c1"&gt;# Compute mean along each column (axis=0)
&lt;/span&gt;&lt;span class="n"&gt;mean_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  

&lt;span class="c1"&gt;# Compute median along each column
&lt;/span&gt;&lt;span class="n"&gt;median_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;median&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;np.mean&lt;/code&gt; and &lt;code&gt;np.median&lt;/code&gt; functions compute the mean and median values along the specified axis, resulting in summary statistics for each feature.&lt;/p&gt;

&lt;h3&gt;
  
  
  Polynomial Features
&lt;/h3&gt;

&lt;p&gt;Polynomial features allow capturing of nonlinear relationships between numerical features. By creating higher-order combinations, such as squares or interaction terms, we can introduce additional dimensions that may improve the model's ability to capture complex patterns.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.preprocessing&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;PolynomialFeatures&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]]&lt;/span&gt;

&lt;span class="c1"&gt;# Create polynomial features up to degree 2
&lt;/span&gt;&lt;span class="n"&gt;poly&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;PolynomialFeatures&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;degree&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 

&lt;span class="c1"&gt;# Generate polynomial features
&lt;/span&gt;&lt;span class="n"&gt;polynomial_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;poly&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;PolynomialFeatures&lt;/code&gt; class generates polynomial features up to the specified degree, allowing the model to capture nonlinear relationships between the original features.&lt;/p&gt;

&lt;h2&gt;
  
  
  Categorical Feature Extraction
&lt;/h2&gt;

&lt;h3&gt;
  
  
  One-Hot Encoding
&lt;/h3&gt;

&lt;p&gt;One-hot encoding transforms categorical variables into binary vectors. Each unique category becomes a separate binary feature, with a value of 1 indicating the presence of that category and 0 otherwise. One-hot encoding is suitable when there is no inherent order or hierarchy among categories.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.preprocessing&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;OneHotEncoder&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Red&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Blue&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Green&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Red&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]]&lt;/span&gt;

&lt;span class="c1"&gt;# Create an instance of the OneHotEncoder
&lt;/span&gt;&lt;span class="n"&gt;encoder&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;OneHotEncoder&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  

&lt;span class="c1"&gt;# Apply one-hot encoding
&lt;/span&gt;&lt;span class="n"&gt;onehot_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;encoder&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;toarray&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;OneHotEncoder&lt;/code&gt; encodes categorical features as binary vectors, where each unique category becomes a separate binary feature.&lt;/p&gt;

&lt;h3&gt;
  
  
  Label Encoding
&lt;/h3&gt;

&lt;p&gt;Label encoding assigns a unique numeric label to each category. It is useful when there is an ordinal relationship among the categories. However, it is important to note that label encoding may introduce unintended ordinality that could impact model performance.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.preprocessing&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;LabelEncoder&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Low&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;High&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Medium&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Low&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

 &lt;span class="c1"&gt;# Create an instance of the LabelEncoder
&lt;/span&gt;&lt;span class="n"&gt;encoder&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;LabelEncoder&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; 

 &lt;span class="c1"&gt;# Apply label encoding
&lt;/span&gt;&lt;span class="n"&gt;encoded_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;encoder&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;LabelEncoder&lt;/code&gt; assigns a numerical label to each category, preserving the order of categories.&lt;/p&gt;

&lt;h3&gt;
  
  
  Frequency Encoding
&lt;/h3&gt;

&lt;p&gt;Frequency encoding replaces categorical values with their corresponding frequencies in the dataset. It can help capture the importance or prevalence of each category within the dataset.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Series&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Apple&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Banana&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Apple&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Orange&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Banana&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;span class="c1"&gt;# Compute frequency of each category
&lt;/span&gt;&lt;span class="n"&gt;frequency&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;value_counts&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;normalize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  

&lt;span class="c1"&gt;# Replace categories with frequencies
&lt;/span&gt;&lt;span class="n"&gt;encoded_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;map&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;frequency&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;value_counts&lt;/code&gt; method computes the frequency of each category, and the map function replaces the categories with their corresponding frequencies.&lt;/p&gt;

&lt;h3&gt;
  
  
  Target Encoding
&lt;/h3&gt;

&lt;p&gt;Target encoding replaces categorical values with the mean (or other statistics) of the target variable for each category. It leverages the relationship between the target variable and the categorical feature, potentially capturing valuable information for predictive modeling.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;DataFrame&lt;/span&gt;&lt;span class="p"&gt;({&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Category&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;A&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;B&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;A&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;B&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Target&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]})&lt;/span&gt;

&lt;span class="c1"&gt;# Compute mean target value for each category
&lt;/span&gt;&lt;span class="n"&gt;target_mean&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;groupby&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Category&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Target&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="nf"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; 

&lt;span class="c1"&gt;# Replace categories with mean target values
&lt;/span&gt;&lt;span class="n"&gt;encoded_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Category&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="nf"&gt;map&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;target_mean&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;groupby&lt;/code&gt; method groups the data by category, and the &lt;code&gt;mean&lt;/code&gt; function computes the mean target value for each category. The &lt;code&gt;map&lt;/code&gt; function replaces the categories with their corresponding mean target values.&lt;/p&gt;

&lt;h2&gt;
  
  
  Text Feature Extraction
&lt;/h2&gt;

&lt;h3&gt;
  
  
  Bag-of-Words (BoW)
&lt;/h3&gt;

&lt;p&gt;The bag-of-words approach represents text documents by creating a vocabulary of unique words and counting the occurrence of each word in each document. The resulting representation is a count or frequency matrix, where each row corresponds to a document, and each column corresponds to a word in the vocabulary.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.feature_extraction.text&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;CountVectorizer&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I love dogs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I hate cats&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Dogs are cute&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

 &lt;span class="c1"&gt;# Create an instance of CountVectorizer
&lt;/span&gt;&lt;span class="n"&gt;vectorizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;CountVectorizer&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; 

&lt;span class="c1"&gt;# Apply BoW transformation
&lt;/span&gt;&lt;span class="n"&gt;bow_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;vectorizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;CountVectorizer&lt;/code&gt; converts text into a matrix of token counts, where each row represents a document, and each column represents a unique word in the vocabulary.&lt;/p&gt;

&lt;h3&gt;
  
  
  Term Frequency-Inverse Document Frequency (TF-IDF)
&lt;/h3&gt;

&lt;p&gt;TF-IDF assigns weights to words based on their frequency within a document and their rarity across the entire document collection. It downplays common words and emphasizes rare and distinctive words, providing a more informative representation of the text.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.feature_extraction.text&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;TfidfVectorizer&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I love dogs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I hate cats&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Dogs are cute&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="c1"&gt;# Create an instance of TfidfVectorizer
&lt;/span&gt;&lt;span class="n"&gt;vectorizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;TfidfVectorizer&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  

&lt;span class="c1"&gt;# Apply TF-IDF transformation
&lt;/span&gt;&lt;span class="n"&gt;tfidf_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;vectorizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;TfidfVectorizer&lt;/code&gt; computes TF-IDF weights for each word, where TF measures the word's frequency in a document, and IDF measures its rarity across the document collection.&lt;/p&gt;

&lt;h3&gt;
  
  
  Word Embeddings
&lt;/h3&gt;

&lt;p&gt;Capturing Semantic RelationshipsWord embeddings represent words as dense vectors in a continuous vector space, capturing semantic relationships between words. Techniques like Word2Vec and GloVe learn representations based on the surrounding context of words, enabling the model to capture word similarities and analogies.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;gensim&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;gensim.models&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Word2Vec&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;love&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;dogs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;hate&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;cats&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Dogs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;are&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;cute&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]]&lt;/span&gt;

&lt;span class="c1"&gt;# Create a Word2Vec model
&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Word2Vec&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;min_count&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  

&lt;span class="c1"&gt;# Obtain the word embedding for 'dogs'
&lt;/span&gt;&lt;span class="n"&gt;word_embedding&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;wv&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;dogs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;Word2Vec&lt;/code&gt; model learns word embeddings based on the context of words in the provided data. Each word is represented as a dense vector, and we can access the word embeddings using the model's wv property.&lt;/p&gt;

&lt;h3&gt;
  
  
  N-grams
&lt;/h3&gt;

&lt;p&gt;N-grams represent contiguous sequences of N words in a text document. By considering contextual information and preserving word order, N-grams capture richer information about the relationships between words.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.feature_extraction.text&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;CountVectorizer&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I love dogs&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;I hate cats&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Dogs are cute&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;vectorizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;CountVectorizer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ngram_range&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;ngram_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;vectorizer&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Image Feature Extraction
&lt;/h2&gt;

&lt;h3&gt;
  
  
  Histogram of Oriented Gradients (HOG)
&lt;/h3&gt;

&lt;p&gt;HOG calculates the distribution of gradient orientations within image patches. It captures local shape information and is commonly used for object detection and recognition tasks.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;cv2&lt;/span&gt;

&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cv2&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;imread&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;image.jpg&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;hog&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cv2&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;HOGDescriptor&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;hog_features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;hog&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;compute&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;HOGDescriptor&lt;/code&gt; computes the HOG features for an image, which represents the local shape and edge information of objects in the image.&lt;/p&gt;

&lt;h3&gt;
  
  
  Scale-Invariant Feature Transform (SIFT)
&lt;/h3&gt;

&lt;p&gt;SIFT identifies key points and descriptors that are invariant to scale, rotation, and affine transformations. It is widely used for image matching and recognition, particularly in scenarios with significant variations in lighting and viewpoint.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;cv2&lt;/span&gt;

&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cv2&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;imread&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;image.jpg&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;sift&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cv2&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;SIFT_create&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;keypoints&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;descriptors&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sift&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;detectAndCompute&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="bp"&gt;None&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;SIFT_create&lt;/code&gt; function creates a SIFT object, and &lt;code&gt;detectAndCompute&lt;/code&gt; extracts key points and their descriptors from the image, capturing distinctive features invariant to transformations.&lt;/p&gt;

&lt;h3&gt;
  
  
  Convolutional Neural Networks (CNNs)
&lt;/h3&gt;

&lt;p&gt;CNNs are deep learning models designed to automatically learn hierarchical representations from images. They consist of multiple layers, including convolutional layers that extract local features and pooling layers that aggregate information. CNNs have achieved remarkable success in various computer vision tasks.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow.keras.applications&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;VGG16&lt;/span&gt;

&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;preprocessing&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;load_img&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;image.jpg&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;target_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;224&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;224&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;preprocessing&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;img_to_array&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;applications&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;vgg16&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;preprocess_input&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;vgg_model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;VGG16&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;weights&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;imagenet&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;include_top&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;False&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;vgg_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;expand_dims&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;VGG16&lt;/code&gt; model is a pre-trained CNN that learns hierarchical features from images. We preprocess the image and extract features using the model's predict function.&lt;/p&gt;

&lt;h3&gt;
  
  
  Pre-trained Models
&lt;/h3&gt;

&lt;p&gt;Pre-trained models, such as VGG, ResNet, or Inception, are deep-learning models trained on large-scale image datasets. Instead of training from scratch, we can utilize these models and extract features from intermediate layers. The features extracted from these models can capture high-level image representations that can be used for transfer learning or as input to other models.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;tensorflow.keras.applications&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;VGG16&lt;/span&gt;

&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;preprocessing&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;load_img&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;image.jpg&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;target_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;224&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;224&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;preprocessing&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;img_to_array&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;image&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;applications&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;vgg16&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;preprocess_input&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;vgg_model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;VGG16&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;weights&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;imagenet&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;include_top&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;False&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;intermediate_layer_model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;vgg_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nb"&gt;input&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;outputs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;vgg_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;get_layer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;block4_pool&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;intermediate_layer_model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;expand_dims&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The &lt;code&gt;intermediate_layer_model&lt;/code&gt; is created by specifying the desired intermediate layer of the pre-trained VGG16 model. By extracting features from this intermediate layer, we capture high-level representations that can be used for transfer learning or as inputs to other models.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Further Feature Extraction Techniques&lt;/strong&gt;
&lt;/h2&gt;

&lt;h3&gt;
  
  
  &lt;strong&gt;Principal Component Analysis (PCA)&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Principal Component Analysis (PCA) is a widely used technique for dimensionality reduction. It identifies the directions (principal components) in which the data varies the most and projects the data onto these components, effectively reducing the dimensionality while preserving most of the information.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.decomposition&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;PCA&lt;/span&gt;

&lt;span class="c1"&gt;# Assuming X is your input data
&lt;/span&gt;
&lt;span class="c1"&gt;# Specify the number of components you want to extract
&lt;/span&gt;&lt;span class="n"&gt;pca&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;PCA&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n_components&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# X_pca contains the extracted features with reduced dimensionality
&lt;/span&gt;&lt;span class="n"&gt;X_pca&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pca&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  &lt;strong&gt;Independent Component Analysis (ICA)&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Independent Component Analysis (ICA) is another technique for feature extraction that aims to find statistically independent components from the input data. It assumes that the observed data is a linear combination of independent sources and tries to separate these sources.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.decomposition&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;FastICA&lt;/span&gt;

&lt;span class="c1"&gt;# Assuming X is your input data
&lt;/span&gt;
 &lt;span class="c1"&gt;# Specify the number of components you want to extract
&lt;/span&gt;&lt;span class="n"&gt;ica&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;FastICA&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n_components&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# X_ica contains the extracted features with reduced dimensionality
&lt;/span&gt;&lt;span class="n"&gt;X_ica&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;ica&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  &lt;strong&gt;Feature Selection&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Instead of transforming the input data, feature selection focuses on selecting a subset of the existing features that are most relevant to the prediction task. This approach can be particularly useful when dealing with high-dimensional data.&lt;/p&gt;

&lt;p&gt;Here's an example of using feature selection with scikit-learn:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.feature_selection&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;SelectKBest&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;chi2&lt;/span&gt;

&lt;span class="c1"&gt;# Assuming X and y are your input features and target labels, respectively
&lt;/span&gt;
 &lt;span class="c1"&gt;# Select the top 10 features
&lt;/span&gt;&lt;span class="n"&gt;selector&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;SelectKBest&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;score_func&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;chi2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# X_new contains the selected features
&lt;/span&gt;&lt;span class="n"&gt;X_new&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;selector&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;Feature extraction is a fundamental step in machine learning that significantly influences model performance. By selecting appropriate techniques for numerical, categorical, text, or image data, we can transform raw data into meaningful representations that capture relevant information. Experimenting with different feature extraction methods and understanding their impact on model performance is crucial for building accurate and robust machine learning models. The choice of feature extraction technique depends on the specific problem and the characteristics of your data.&lt;/p&gt;

&lt;h1&gt;
  
  
  Resources
&lt;/h1&gt;

&lt;p&gt;Access the code snippets in a Google Colab notebook &lt;a href="https://colab.research.google.com/drive/1nPzeVEK63mD2uzcaYEd6SNxLGibc6-of?usp=sharing"&gt;here&lt;/a&gt; (MIT License).&lt;/p&gt;

</description>
    </item>
    <item>
      <title>Data Visualization with Matplotlib and Seaborn</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Fri, 19 May 2023 22:08:32 +0000</pubDate>
      <link>https://dev.to/kambale/data-visualization-with-matplotlib-and-seaborn-1n18</link>
      <guid>https://dev.to/kambale/data-visualization-with-matplotlib-and-seaborn-1n18</guid>
      <description>&lt;h1&gt;
  
  
  Introduction
&lt;/h1&gt;

&lt;p&gt;Data visualization is a crucial step in the data analysis process. It allows us to visually explore and communicate data patterns, trends, and relationships effectively. Matplotlib and Seaborn are two popular Python libraries that provide powerful tools for creating a wide range of static, animated, and interactive visualizations.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Matplotlib&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Matplotlib is a versatile plotting library that offers a high degree of control over plot customization. It provides a wide variety of plot types, including line plots, scatter plots, bar plots, histograms, and more. Matplotlib can be used in interactive environments like Jupyter or Google Colab notebooks.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Seaborn&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Seaborn is a higher-level data visualization library built on top of Matplotlib. It simplifies the process of creating attractive statistical graphics by providing high-level functions for common plot types. Seaborn also offers themes and color palettes that make plots visually appealing with minimal customization.&lt;/p&gt;

&lt;h1&gt;
  
  
  &lt;strong&gt;Installation&lt;/strong&gt;
&lt;/h1&gt;

&lt;p&gt;Before we start, let's make sure Matplotlib and Seaborn are installed. You can install them using pip, the Python package installer, by running the following commands in your terminal:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;matplotlib
pip &lt;span class="nb"&gt;install &lt;/span&gt;seaborn

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Make sure you have an up-to-date version of both libraries. Now that we have everything set up, let's dive into the tutorial!&lt;/p&gt;

&lt;h1&gt;
  
  
  Visualization with Matplotlib
&lt;/h1&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Line Plot&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;A line plot is a basic plot type that displays data points connected by lines. It is useful for visualizing trends and changes over time or any continuous variable. Here's an example of creating a simple line plot using Matplotlib:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;

&lt;span class="c1"&gt;# Sample data
&lt;/span&gt;&lt;span class="n"&gt;listOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;listTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="c1"&gt;# Create a line plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;listOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;listTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add labels and title
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;X-axis&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Y-axis&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Line Plot of Two Lists&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Show the plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--J2PCfuIY--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531547411/fb8d6156-f8a6-47d8-8751-303e09a18d7a.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--J2PCfuIY--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531547411/fb8d6156-f8a6-47d8-8751-303e09a18d7a.png" alt="" width="562" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We import &lt;code&gt;matplotlib.pyplot&lt;/code&gt; as &lt;code&gt;plt&lt;/code&gt;, create lists &lt;code&gt;listOne&lt;/code&gt; and &lt;code&gt;listTwo&lt;/code&gt; representing the data points, and then use the &lt;code&gt;plot()&lt;/code&gt; function to create the line plot. We add labels to the x-axis and y-axis and provide a title for the plot. Finally, we use &lt;code&gt;show()&lt;/code&gt; to display the plot.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Scatter Plot&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;A scatter plot displays individual data points as markers on a two-dimensional plane. It is useful for examining the relationship between two continuous variables. Let's create a scatter plot using Matplotlib:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;

&lt;span class="c1"&gt;# Sample data
&lt;/span&gt;&lt;span class="n"&gt;listOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;listTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="c1"&gt;# Create a scatter plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;scatter&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;listOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;listTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add labels and title
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;X-axis&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Y-axis&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Scatter Plot of Two Lists&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Show the plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--lF-F7B7J--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531647041/de7141ad-484d-4c64-9024-7fe6adbc4a31.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--lF-F7B7J--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531647041/de7141ad-484d-4c64-9024-7fe6adbc4a31.png" alt="" width="562" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We use the &lt;code&gt;scatter()&lt;/code&gt; function to create a scatter plot. The rest of the code is similar to the line plot example.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Bar Plot&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;A bar plot represents data as rectangular bars, with the length of each bar proportional to the value it represents. Bar plots are commonly used to compare categorical data or to show the distribution of a continuous variable across categories. Here's an example of creating a bar plot using Matplotlib:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;

&lt;span class="c1"&gt;# Sample data
&lt;/span&gt;&lt;span class="n"&gt;categories&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;A&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;B&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;C&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;D&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;values&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;7&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="c1"&gt;# Create a bar plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;bar&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;categories&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;values&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add labels and title
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Categories&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Values&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Bar Plot of Categories and Values&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Show the plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--ZACMs5KV--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531830948/752f03ef-d0e2-43c6-a48c-2cc58cac273a.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--ZACMs5KV--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531830948/752f03ef-d0e2-43c6-a48c-2cc58cac273a.png" alt="" width="562" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We use the &lt;code&gt;bar()&lt;/code&gt; function to create a bar plot. The &lt;code&gt;categories&lt;/code&gt; list represents the x-axis categories, and the &lt;code&gt;values&lt;/code&gt; list represents the height of each bar. We add labels to the x-axis and y-axis and provide a title for the plot. Finally, we use &lt;code&gt;show()&lt;/code&gt; to display the plot.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Histogram&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;A histogram is used to visualize the distribution of a single continuous variable. It divides the range of values into intervals called bins and displays the frequency or proportion of values falling into each bin. Here's an example of creating a histogram using Matplotlib:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;

&lt;span class="c1"&gt;# Generate random data
&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;seed&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;42&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;normal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Create a histogram
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;hist&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bins&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;30&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add labels and title
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Values&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Frequency&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Histogram Showing Values against Frequency&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Show the plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--05u16xG---/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531975383/8b18e056-09e8-46c2-80ff-8514c88ace96.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--05u16xG---/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684531975383/8b18e056-09e8-46c2-80ff-8514c88ace96.png" alt="" width="571" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Here we use the &lt;code&gt;hist()&lt;/code&gt; function to create a histogram. The &lt;code&gt;data&lt;/code&gt; variable contains random values generated using NumPy's &lt;code&gt;random.normal()&lt;/code&gt; function. We specify the number of bins using the &lt;code&gt;bins&lt;/code&gt; parameter. We add labels to the x-axis and y-axis and provide a title for the plot. Finally, we use &lt;code&gt;show()&lt;/code&gt; to display the plot.&lt;/p&gt;

&lt;h1&gt;
  
  
  Visualization with Seaborn
&lt;/h1&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Box Plot&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;A box plot, also known as a box-and-whisker plot, is used to display the distribution of a continuous variable across different categories or groups. It shows the median, quartiles, and any potential outliers in the data. Let's create a box plot using Seaborn:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;seaborn&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;sns&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;

&lt;span class="c1"&gt;# Generate random data
&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;seed&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;42&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;dataOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;normal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;dataTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;normal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;dataThree&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;normal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Combine the data into a DataFrame
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;dataOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dataTwo&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dataThree&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;categories&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;repeat&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;A&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;B&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;C&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;df&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;DataFrame&lt;/span&gt;&lt;span class="p"&gt;({&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Category&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;categories&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Data&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;})&lt;/span&gt;

&lt;span class="c1"&gt;# Create a box plot
&lt;/span&gt;&lt;span class="n"&gt;sns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;boxplot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Category&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Data&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;df&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add title
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Box Plot of Data against Category&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Show the plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--qr0n8zmJ--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684532463657/5c9bde17-abfe-478e-95fb-9fe775acbdd2.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--qr0n8zmJ--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684532463657/5c9bde17-abfe-478e-95fb-9fe775acbdd2.png" alt="" width="565" height="455"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We use the &lt;code&gt;boxplot()&lt;/code&gt; function from Seaborn to create a box plot. We create three sets of random data, &lt;code&gt;dataOne&lt;/code&gt;, &lt;code&gt;dataTwo&lt;/code&gt;, and &lt;code&gt;dataThree&lt;/code&gt;, representing different categories. We then combine the data into a DataFrame, &lt;code&gt;df&lt;/code&gt;, with the 'Category' and 'Data' columns. Finally, we use &lt;code&gt;boxplot()&lt;/code&gt; by specifying the x-axis as 'Category', the y-axis as 'Data', and the DataFrame &lt;code&gt;df&lt;/code&gt;. We add a title to the plot and display it using &lt;code&gt;show()&lt;/code&gt;.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Heatmap&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;A heatmap is a graphical representation of data where the values in a matrix are represented as colors. It is useful for visualizing the relationships or patterns in large datasets. Let's create a heatmap using Seaborn:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;seaborn&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;sns&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;

&lt;span class="c1"&gt;# Generate random correlation data
&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;seed&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;42&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;rand&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;corr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;corrcoef&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Create a heatmap
&lt;/span&gt;&lt;span class="n"&gt;sns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;heatmap&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;corr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;annot&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;True&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cmap&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;coolwarm&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Add title
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Heatmap of the Data and the Correlation&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Show the plot
&lt;/span&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--SsCROB2z--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684533165976/a19ff9a3-81f0-4d62-ba97-5e6c7dbcfe2b.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--SsCROB2z--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1684533165976/a19ff9a3-81f0-4d62-ba97-5e6c7dbcfe2b.png" alt="" width="535" height="435"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We use the &lt;code&gt;heatmap()&lt;/code&gt; function from Seaborn to create a heatmap. We generate random data &lt;code&gt;data&lt;/code&gt; and calculate the correlation matrix &lt;code&gt;corr&lt;/code&gt; using NumPy's &lt;code&gt;corrcoef()&lt;/code&gt; function. We then pass &lt;code&gt;corr&lt;/code&gt; to &lt;code&gt;heatmap()&lt;/code&gt;, set &lt;code&gt;annot=True&lt;/code&gt; to display the correlation values on the heatmap, and specify the color map as &lt;code&gt;'coolwarm'&lt;/code&gt;. We add a title to the plot and display it using &lt;code&gt;show()&lt;/code&gt;.&lt;/p&gt;

&lt;h1&gt;
  
  
  &lt;strong&gt;Additional Customizations&lt;/strong&gt;
&lt;/h1&gt;

&lt;p&gt;Both Matplotlib and Seaborn offer a wide range of customization options to enhance your plots. Here are a few additional customization techniques:&lt;/p&gt;

&lt;h3&gt;
  
  
  &lt;strong&gt;Axis Limits and Ticks&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;You can set custom axis limits using &lt;code&gt;xlim()&lt;/code&gt; and &lt;code&gt;ylim()&lt;/code&gt; functions in Matplotlib:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xlim&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;ylim&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;You can also customize the ticks on the axis using &lt;code&gt;xticks()&lt;/code&gt; and &lt;code&gt;yticks()&lt;/code&gt;:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;xticks&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;yticks&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  &lt;strong&gt;Legends&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;You can add legends to your plots to provide additional information about the data using &lt;code&gt;legend()&lt;/code&gt;:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;label&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Line 1&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;label&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Line 2&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;legend&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  &lt;strong&gt;Color Maps&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Both Matplotlib and Seaborn provide a variety of color maps for different purposes. You can specify the color map using the &lt;code&gt;cmap&lt;/code&gt; parameter. For example, in a scatter plot:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;scatter&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cmap&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;viridis&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  &lt;strong&gt;Styling with Seaborn&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Seaborn provides additional styling options using its built-in themes. You can set a different theme using &lt;code&gt;set_theme()&lt;/code&gt;. For example:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;sns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;set_theme&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;style&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;whitegrid&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Seaborn also provides various color palettes that you can use to customize the colors in your plots. You can set a different color palette using &lt;code&gt;set_palette()&lt;/code&gt;. For example:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;sns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;set_palette&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Set2&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  &lt;strong&gt;Conclusion&lt;/strong&gt;
&lt;/h1&gt;

&lt;p&gt;We have covered the basics of data visualization using Matplotlib and Seaborn. We explored various plot types, including line plots, scatter plots, bar plots, histograms, box plots, and heatmaps. We also discussed additional customization techniques to enhance your plots. With these tools and techniques, you can create visually appealing and informative visualizations to explore and communicate your data effectively.&lt;/p&gt;

&lt;h2&gt;
  
  
  Resources
&lt;/h2&gt;

&lt;p&gt;&lt;a href="https://colab.research.google.com/drive/1sn6sL3O8ocor8axNIWdGALnKyd2sIeCS?usp=sharing"&gt;Google Colab Notebook&lt;/a&gt;&lt;/p&gt;

</description>
    </item>
    <item>
      <title>Machine Learning in SQL using BigQuery</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Tue, 09 May 2023 14:12:55 +0000</pubDate>
      <link>https://dev.to/kambale/machine-learning-in-sql-using-bigquery-e7a</link>
      <guid>https://dev.to/kambale/machine-learning-in-sql-using-bigquery-e7a</guid>
      <description>&lt;p&gt;Machine learning is a rapidly growing field that has seen a lot of interest from businesses and organizations. With the growing amount of data that businesses collect, it has become essential to use machine learning to extract insights from that data. One of the best tools for this is BigQuery, a fully managed, cloud-native data warehouse that makes it easy to analyze large amounts of data quickly. In this article, we will explore how to perform machine learning with SQL using BigQuery.&lt;/p&gt;

&lt;p&gt;But before we start, it is essential to note that machine learning with SQL is not the same as traditional machine learning methods such as regression, clustering, or classification. Instead, it focuses on using SQL to analyze and transform data into the format required for machine learning. With that said, let's get started.&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Setting up BigQuery&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Before we start with machine learning, we need to set up BigQuery. If you haven't done this before, you can follow these simple steps:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;&lt;p&gt;Go to the &lt;a href="https://console.cloud.google.com/bigquery"&gt;&lt;strong&gt;BigQuery console&lt;/strong&gt;&lt;/a&gt; and sign up for a Google Cloud account if you haven't already.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Create a new project or select an existing one.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Click on "Create Dataset" to create a new dataset to store your data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Upload your data to the dataset using the "Create Table" button.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s---NQTp8RX--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638067551/fbc483ad-c6ed-4f56-8102-ae9bfb43f207.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s---NQTp8RX--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638067551/fbc483ad-c6ed-4f56-8102-ae9bfb43f207.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Explore the Data&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Once you have uploaded your data, it is essential to understand it. In this tutorial, we will use the &lt;strong&gt;Iris dataset&lt;/strong&gt; , which is a popular dataset for classification tasks. It contains 150 instances of three classes, with each class having 50 instances.&lt;/p&gt;

&lt;p&gt;To explore the data, we can use SQL queries to select and visualize the data. The following code snippet shows how to select the first five rows of the dataset:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.&amp;lt;table-name&amp;gt;`&lt;/span&gt;
&lt;span class="k"&gt;LIMIT&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--Y8gNOPLH--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638168695/802e84a8-bdae-47b4-916d-882bc0aaca10.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--Y8gNOPLH--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638168695/802e84a8-bdae-47b4-916d-882bc0aaca10.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;This will display the first five rows of the dataset. We can use the same query to select specific columns, such as the sepal length and sepal width:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt; &lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sepal_width&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris`&lt;/span&gt;
&lt;span class="k"&gt;LIMIT&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--Y4k6oXoI--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638293875/b1e290cd-e424-41dd-970d-e5e24f3e521c.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--Y4k6oXoI--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638293875/b1e290cd-e424-41dd-970d-e5e24f3e521c.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;We can also use SQL to calculate summary statistics of the data, such as the mean and standard deviation:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt;
  &lt;span class="k"&gt;AVG&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;AS&lt;/span&gt; &lt;span class="n"&gt;avg_sepal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;STDDEV&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;AS&lt;/span&gt; &lt;span class="n"&gt;stddev_sepal_length&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris`&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--_ucZrnhZ--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638446153/43ee9b1e-d49d-4a64-9de6-347b42240a32.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--_ucZrnhZ--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638446153/43ee9b1e-d49d-4a64-9de6-347b42240a32.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Transform the Data&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Before we can perform machine learning on the data, we need to transform it into the required format. In the case of the Iris dataset, we need to convert the categorical target variable into a numerical value. We can do this using a SQL CASE statement:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt;
  &lt;span class="k"&gt;CASE&lt;/span&gt; &lt;span class="k"&gt;class&lt;/span&gt;
    &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-setosa'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
    &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-versicolor'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;
    &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-virginica'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;
  &lt;span class="k"&gt;END&lt;/span&gt; &lt;span class="k"&gt;AS&lt;/span&gt; &lt;span class="n"&gt;target&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;sepal_width&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;petal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;petal_width&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris`&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;This query will create a new column called &lt;code&gt;target&lt;/code&gt; with the numerical value of the &lt;code&gt;class&lt;/code&gt;.&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--6WzrEmVh--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638841668/6c2a0516-80fd-41c2-b4c9-8eeddc07584c.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--6WzrEmVh--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683638841668/6c2a0516-80fd-41c2-b4c9-8eeddc07584c.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Train a Machine Learning Model&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Now that we have transformed the data, we can train a machine learning model using SQL. In BigQuery, we can use the &lt;code&gt;CREATE MODEL&lt;/code&gt; statement to create a model. In this tutorial, we will use logistic regression to classify the Iris dataset&lt;/p&gt;

&lt;p&gt;To train a logistic regression model, we can use the following SQL query:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;CREATE&lt;/span&gt; &lt;span class="n"&gt;MODEL&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris_model`&lt;/span&gt;
&lt;span class="k"&gt;OPTIONS&lt;/span&gt;
  &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model_type&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'logistic_reg'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;input_label_cols&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'target'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
   &lt;span class="n"&gt;max_iteration&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
   &lt;span class="n"&gt;l1_reg&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
   &lt;span class="n"&gt;l2_reg&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;AS&lt;/span&gt;
&lt;span class="k"&gt;SELECT&lt;/span&gt;
  &lt;span class="k"&gt;CASE&lt;/span&gt; &lt;span class="k"&gt;class&lt;/span&gt;
    &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-setosa'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
    &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-versicolor'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;
    &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-virginica'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;
  &lt;span class="k"&gt;END&lt;/span&gt; &lt;span class="k"&gt;AS&lt;/span&gt; &lt;span class="n"&gt;target&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;sepal_width&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;petal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;petal_width&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris`&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;This query will create a new model called "iris_model" and train it using logistic regression. We can specify options such as the maximum number of iterations and regularization parameters.&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--f5gkWiss--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683640333130/2e8584ed-086a-4b8b-be86-d94fb7c677a6.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--f5gkWiss--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683640333130/2e8584ed-086a-4b8b-be86-d94fb7c677a6.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Click on &lt;code&gt;GO TO MODEL&lt;/code&gt; button to see the training details of the model as shown below:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--zUCgz-qa--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683640432723/38f4eb5d-def9-46f5-ad8a-4091cc514710.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--zUCgz-qa--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683640432723/38f4eb5d-def9-46f5-ad8a-4091cc514710.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Evaluate the Model&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Once the model is trained, we can evaluate its performance using SQL. In BigQuery, we can use the &lt;code&gt;ML.EVALUATE&lt;/code&gt; function to evaluate the model. The following query shows how to evaluate the model on the training data:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt;
  &lt;span class="o"&gt;*&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="n"&gt;ML&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;EVALUATE&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;MODEL&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris_model`&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                &lt;span class="p"&gt;(&lt;/span&gt;
                 &lt;span class="k"&gt;SELECT&lt;/span&gt;
                   &lt;span class="k"&gt;CASE&lt;/span&gt; &lt;span class="n"&gt;species&lt;/span&gt;
                     &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-setosa'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
                     &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-versicolor'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;
                     &lt;span class="k"&gt;WHEN&lt;/span&gt; &lt;span class="s1"&gt;'Iris-virginica'&lt;/span&gt; &lt;span class="k"&gt;THEN&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;
                   &lt;span class="k"&gt;END&lt;/span&gt; &lt;span class="k"&gt;AS&lt;/span&gt; &lt;span class="n"&gt;target&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;sepal_width&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;petal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;petal_width&lt;/span&gt;
                 &lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris`&lt;/span&gt;
                &lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;This query will return metrics such as accuracy, precision, and recall.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;Precision - 0.9534
Recall - 0.9533
Accuracy - 0.9533
F1 score - 0.9533
Log loss - 0.1231
ROC AUC - 0.9990

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--yzpAn5-u--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683640778845/f9100018-3589-43b3-aa79-6a8e2cf19367.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--yzpAn5-u--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683640778845/f9100018-3589-43b3-aa79-6a8e2cf19367.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Make Predictions&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Finally, we can use the trained model to make predictions on new data. In BigQuery, we can use the &lt;code&gt;ML.PREDICT&lt;/code&gt; function to make predictions. The following query shows how to make predictions on new data:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight sql"&gt;&lt;code&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt;
  &lt;span class="n"&gt;predicted_target&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="n"&gt;predicted_target_probs&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="n"&gt;ML&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;PREDICT&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;MODEL&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.iris_model`&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                &lt;span class="p"&gt;(&lt;/span&gt;
                 &lt;span class="k"&gt;SELECT&lt;/span&gt;
                   &lt;span class="n"&gt;sepal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;sepal_width&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;petal_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                   &lt;span class="n"&gt;petal_width&lt;/span&gt;
                 &lt;span class="k"&gt;FROM&lt;/span&gt; &lt;span class="nv"&gt;`&amp;lt;project_id&amp;gt;.&amp;lt;dataset_id&amp;gt;.new_data`&lt;/span&gt;
                &lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;This query will return the predicted target value and the probability of each class for each row in the new data.&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--fhkDp3s2--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683641267740/193f81a1-70ff-4f4a-a92f-232b7bd4d8f4.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--fhkDp3s2--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683641267740/193f81a1-70ff-4f4a-a92f-232b7bd4d8f4.png" alt="" width="800" height="427"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Conclusion&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;In this article, we have explored how to perform machine learning with SQL using BigQuery. We started by setting up BigQuery and exploring the data using SQL queries. We then transformed the data into the required format, trained a logistic regression model, and evaluated its performance. Finally, we made predictions on new data using the trained model. With BigQuery, it is possible to perform powerful machine learning tasks without leaving the SQL environment.&lt;/p&gt;

</description>
    </item>
    <item>
      <title>NumPy vs JAX: Optimizing Performance and Functionality</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Mon, 08 May 2023 17:57:39 +0000</pubDate>
      <link>https://dev.to/kambale/numpy-vs-jax-optimizing-performance-and-functionality-1846</link>
      <guid>https://dev.to/kambale/numpy-vs-jax-optimizing-performance-and-functionality-1846</guid>
      <description>&lt;h1&gt;
  
  
  Introduction
&lt;/h1&gt;

&lt;p&gt;Numpy and Jax are both Python libraries that are widely used in numerical computing and scientific computing. While they have similar functionalities, there are some key differences between them that make Jax particularly useful for machine learning applications. In this tutorial, we will explore some of the differences between Numpy and Jax and provide code snippets to illustrate these differences.&lt;/p&gt;

&lt;h1&gt;
  
  
  Installation
&lt;/h1&gt;

&lt;p&gt;Both Numpy and Jax can be installed using pip. To install Numpy, you can run the following command in your terminal:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;numpy

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To install Jax, you can run the following command:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;jax

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Note that Jax also requires the &lt;code&gt;jaxlib&lt;/code&gt; library, which can be installed using the following command:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;jaxlib

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Functionality
&lt;/h1&gt;

&lt;p&gt;Let us take a look at how to write &lt;code&gt;NumPy&lt;/code&gt; and &lt;code&gt;Jax&lt;/code&gt; when performing simple and complex scientific computing and machine learning.&lt;/p&gt;

&lt;h2&gt;
  
  
  Array creation
&lt;/h2&gt;

&lt;p&gt;Numpy and Jax both provide functions for creating arrays. The simplest way to create an array in Numpy is to use the &lt;code&gt;array&lt;/code&gt; function:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;

&lt;span class="c1"&gt;# create a 1D array
&lt;/span&gt;&lt;span class="n"&gt;npArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;npArrOne&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# create a 2D array
&lt;/span&gt;&lt;span class="n"&gt;npArrTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;npArrTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;In Jax, the corresponding function is &lt;code&gt;jnp.array&lt;/code&gt;:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;jax.numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;

&lt;span class="c1"&gt;# create a 1D array
&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# create a 2D array
&lt;/span&gt;&lt;span class="n"&gt;jxArrTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Note that the syntax is very similar in both libraries, but in Jax we import the numpy functions from the &lt;code&gt;jax&lt;/code&gt; package rather than the &lt;code&gt;numpy&lt;/code&gt; package.&lt;/p&gt;

&lt;h2&gt;
  
  
  Array indexing
&lt;/h2&gt;

&lt;p&gt;Both Numpy and Jax provide powerful indexing capabilities for arrays. The basic syntax is the same in both libraries:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# indexing in numpy
&lt;/span&gt;&lt;span class="n"&gt;npArr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;npArr&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;  
&lt;span class="c1"&gt;# output: 1
&lt;/span&gt;
&lt;span class="c1"&gt;# indexing in jax
&lt;/span&gt;&lt;span class="n"&gt;jxArr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArr&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;  
&lt;span class="c1"&gt;# output: 1
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;However, Jax provides some additional indexing features that are particularly useful for machine learning. For example, Jax provides a function called &lt;code&gt;jnp.index_update&lt;/code&gt; that allows you to update an element of an array by index:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# update an element in numpy
&lt;/span&gt;&lt;span class="n"&gt;npArr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;npArr&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;npArr&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
&lt;span class="c1"&gt;# output: [4, 2, 3]
&lt;/span&gt;
&lt;span class="c1"&gt;# update an element in jax
&lt;/span&gt;&lt;span class="n"&gt;jxArr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="n"&gt;jxArr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;index_update&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArr&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
&lt;span class="c1"&gt;# output: [4, 2, 3]
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Note that in Jax, we cannot modify an array in-place, so we need to reassign the result of &lt;code&gt;jnp.index_update&lt;/code&gt; to the original array.&lt;/p&gt;

&lt;h2&gt;
  
  
  Array broadcasting
&lt;/h2&gt;

&lt;p&gt;One of the most powerful features of Numpy and Jax is their ability to broadcast arrays. Broadcasting allows you to perform operations on arrays with different shapes and sizes. Here is an example of broadcasting in Numpy:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# broadcasting in numpy
&lt;/span&gt;&lt;span class="n"&gt;npArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;
&lt;span class="n"&gt;npArrTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;npArrOne&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;npArrTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
&lt;span class="c1"&gt;# output: [[11, 22], [13, 24]]
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;In Jax, broadcasting works in a similar way:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# broadcasting in jax
&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;
&lt;span class="n"&gt;jxArrTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;jxArrTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
&lt;span class="c1"&gt;# output: [[11, 22], [13, 24]]
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;In the above example, Numpy and Jax are able to add the 2D array &lt;code&gt;npArrOne&lt;/code&gt; and the 1D array &lt;code&gt;npArrTwo&lt;/code&gt; by automatically broadcasting the dimensions of &lt;code&gt;npArrTwo&lt;/code&gt; to match the dimensions of &lt;code&gt;npArrOne&lt;/code&gt;.&lt;/p&gt;

&lt;p&gt;For Jax, it provides some additional broadcasting features that are particularly useful for machine learning. For instance, Jax provides a function called &lt;code&gt;jnp.vmap&lt;/code&gt; that allows you to apply a function to multiple inputs using broadcasting:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# vmap in Jax
&lt;/span&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;

&lt;span class="n"&gt;jxArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;
&lt;span class="n"&gt;jxArrTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;array&lt;/span&gt;&lt;span class="p"&gt;([[&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;30&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;40&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;

&lt;span class="c1"&gt;# apply add to multiple inputs using broadcasting
&lt;/span&gt;&lt;span class="n"&gt;jxArrThree&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;vmap&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;add&lt;/span&gt;&lt;span class="p"&gt;)(&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;jxArrTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrThree&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
&lt;span class="c1"&gt;# output: [[11, 22], [33, 44]]
&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;In the code snippet above, we define a function &lt;code&gt;add&lt;/code&gt; that adds two arrays element-wise. We then use &lt;code&gt;jnp.vmap&lt;/code&gt; to apply this function to two arrays &lt;code&gt;jxArrOne&lt;/code&gt; and &lt;code&gt;jxArrTwo&lt;/code&gt;, which have the same shape. The result is a new array &lt;code&gt;jxArrThree&lt;/code&gt; that has the same shape as &lt;code&gt;jxArrOne&lt;/code&gt; and &lt;code&gt;jxArrTwo&lt;/code&gt;, where each element of &lt;code&gt;jxArrThree&lt;/code&gt; is the sum of the corresponding elements of &lt;code&gt;jxArrOne&lt;/code&gt; and &lt;code&gt;jxArrTwo&lt;/code&gt;.&lt;/p&gt;

&lt;h1&gt;
  
  
  Performance
&lt;/h1&gt;

&lt;p&gt;One of the key advantages of Jax over Numpy is its ability to compile code using the XLA compiler. This allows Jax to run code on GPUs and TPUs, which can significantly improve performance for large-scale machine learning applications.&lt;/p&gt;

&lt;p&gt;In the example below, we show how Jax and NumPy can be used to accelerate a simple matrix multiplication:&lt;/p&gt;

&lt;p&gt;NumPy:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# matrix multiplication in numpy
&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;

&lt;span class="n"&gt;npArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;rand&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;npArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;rand&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;time&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;npArrThree&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;dot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;npArrOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;npArrOne&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;time&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;NumPy time:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;NumPy &lt;span class="nb"&gt;time&lt;/span&gt;: 0.5427792072296143

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;JAX:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;# matrix multiplication in jax
&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;jax.numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;jax&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;jit&lt;/span&gt;

&lt;span class="n"&gt;jxArrOne&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;rand&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;jxArrTwo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;rand&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nd"&gt;@jit&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;matmul&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;jxArrTwo&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;jnp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;dot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;jxArrTwo&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;time&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;jxArrThree&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;matmul&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;jxArrOne&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;jxArrOne&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;time&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;JAX time:&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Output:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;JAX &lt;span class="nb"&gt;time&lt;/span&gt;: 0.03486919403076172

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;In the code snippets above, we generate two random matrices NumPy and Jax of size 1000 x 1000, and we use the &lt;a href="http://np.dot"&gt;&lt;code&gt;np.dot&lt;/code&gt;&lt;/a&gt; function to perform matrix multiplication in Numpy, and the &lt;a href="http://jnp.dot"&gt;&lt;code&gt;jnp.dot&lt;/code&gt;&lt;/a&gt; function to perform matrix multiplication in Jax. We also use the &lt;code&gt;@jit&lt;/code&gt; decorator to compile the &lt;code&gt;matmul&lt;/code&gt; function using the XLA compiler.&lt;/p&gt;

&lt;p&gt;From the output of time given, you can see that Jax is significantly faster than NumPy in terms of performance.&lt;/p&gt;

&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;So, we have explored some of the differences between Numpy and Jax, two powerful Python libraries that are widely used in numerical computing and scientific computing.&lt;/p&gt;

&lt;p&gt;While they have similar functionalities, Jax provides some additional features that are particularly useful for machine learning applications, including powerful indexing and broadcasting capabilities, as well as the ability to run code on GPUs and TPUs using the XLA compiler, which makes it particularly useful for machine learning applications.&lt;/p&gt;

&lt;p&gt;By understanding the strengths and weaknesses of each library, you can choose the one that best suits your needs, and maximize the performance and functionality of your scientific computing projects.&lt;/p&gt;

&lt;p&gt;Good luck!&lt;/p&gt;

</description>
    </item>
    <item>
      <title>Pandas: The Gateway to Data Exploration and Visualization</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Wed, 03 May 2023 22:40:40 +0000</pubDate>
      <link>https://dev.to/kambale/pandas-the-gateway-to-data-exploration-and-visualization-4g5l</link>
      <guid>https://dev.to/kambale/pandas-the-gateway-to-data-exploration-and-visualization-4g5l</guid>
      <description>&lt;h1&gt;
  
  
  What is Pandas?
&lt;/h1&gt;

&lt;p&gt;Not sure whether Pandas was named after the dearly beloved panda, but Pandas is a popular open-source Python library for data manipulation and analysis. The name is derived from " &lt;strong&gt;pan&lt;/strong&gt; el &lt;strong&gt;da&lt;/strong&gt; ta". It offers various tools for data structures and functions in manipulating numerical data.&lt;/p&gt;

&lt;p&gt;The library includes a DataFrame object for multivariate data manipulation and a Series object for univariate data manipulation with integrated indexing. There are various methods for data manipulation with the help of vectorization. Data set merging, joining, reshaping, and pivoting. And most importantly, tools for reading and writing data in different file formats.&lt;/p&gt;

&lt;p&gt;So, let's dive into the workings of Pandas. For the installation of Pandas, check the official documentation &lt;a href="https://pandas.pydata.org/docs/getting_started/install.html"&gt;here&lt;/a&gt;.&lt;/p&gt;

&lt;h1&gt;
  
  
  Importing Pandas
&lt;/h1&gt;

&lt;p&gt;In your Google Colab or Jupyter Notebook, we import pandas and assign it an alias for easy reference and use throughout the notebook. The most common alias is &lt;code&gt;pd&lt;/code&gt;.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Data Exploration
&lt;/h1&gt;

&lt;p&gt;Data exploration is typically the first step of data analysis used to explore and visualize data to uncover insights from the start or identify areas or patterns to dig into more. Using interactive dashboards and point-and-click data exploration, users can better understand the bigger picture and get insights faster.&lt;/p&gt;

&lt;h2&gt;
  
  
  Reading Data
&lt;/h2&gt;

&lt;p&gt;The beauty of Pandas is that it allows you to work with data that is stored in different file formats. As a data analyst, you need to be flexible and ready to work with all sorts of file formats thrown at you. However, the most common file format is &lt;code&gt;CSV&lt;/code&gt;.&lt;/p&gt;

&lt;h3&gt;
  
  
  Reading a CSV
&lt;/h3&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;read_csv&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;csv_file_name.csv&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Note&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;&lt;code&gt;data&lt;/code&gt; is a variable that will store the file we are reading&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;&lt;code&gt;pd&lt;/code&gt; is the alias for Pandas&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;&lt;code&gt;read_csv&lt;/code&gt; is a Pandas function for reading the &lt;code&gt;CSV&lt;/code&gt; file&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;h3&gt;
  
  
  Reading a Spreadsheet
&lt;/h3&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;#To read an entire spreadsheet
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;read_excel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;spreadsheet_file_name.xlsx&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="c1"&gt;#If you wish to read a specific sheet in the spreadsheet
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;read_excel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;spreadsheet_file_name.xlsx&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sheetname&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;sheet_name&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Reading HTML
&lt;/h3&gt;

&lt;p&gt;For us to be able to explore data stored in HTML tables, we need to first ensure that the &lt;code&gt;BeautifulSoup&lt;/code&gt; package is installed using the following command:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;pip&lt;/span&gt; &lt;span class="n"&gt;install&lt;/span&gt; &lt;span class="n"&gt;BeautifulSoup4&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Then run the following command to read data from the HTML file while importing &lt;code&gt;BeautifulSoup&lt;/code&gt; first.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;bs4&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;BeautifulSoup&lt;/span&gt;

&lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;read_html&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;url_to_html_file&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;For this article, we are going to use the "PCOS" data set. This is non-personal data for Polycystic ovary syndrome obtained from Kaggle. The data set is a CSV file.&lt;/p&gt;

&lt;p&gt;We will check out the information about the data set to know how many entries it contains. This helps you know whether the data set has &lt;code&gt;null&lt;/code&gt; values that need to be cleaned up.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;info&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;When you notice &lt;code&gt;null&lt;/code&gt; values, the best way is to either drop them or fill them will data. Dropping null values helps you get accurate insights from the data during analysis and visualization.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;#You can use the any() function to check for null values by Columns
&lt;/span&gt;&lt;span class="n"&gt;pd&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;isnull&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;any&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# This will drop all columns that contain null values in the entire data set 
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;dropna&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;#This will fill the null values with the average of BMI
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="nf"&gt;fillna&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="nf"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;After fixing the null values, we can now go ahead and take a sneak peek at our data. The &lt;code&gt;head()&lt;/code&gt; function enables us to display the first five (5) entries in the data set while the &lt;code&gt;tail()&lt;/code&gt; function displays the last five (5) entries in the data set.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;head&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--Jgs4Noxe--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1676325703715/b304ec59-1e5e-4c06-a21a-b7f5b050b743.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--Jgs4Noxe--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1676325703715/b304ec59-1e5e-4c06-a21a-b7f5b050b743.png" alt="" width="800" height="245"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  Exploring the Data
&lt;/h2&gt;

&lt;h3&gt;
  
  
  The GroupBy function
&lt;/h3&gt;

&lt;p&gt;Looking at our data, we can group the data by PCOS to see which age is affected most and count the number of those with PCOS for each age.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;groupbyPcos&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;groupby&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Age (yrs)&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;count&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;groupbyPcos&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;columns&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Number of PCOS Cases&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;groupbyPcos&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  The sum() funtion
&lt;/h3&gt;

&lt;p&gt;The data set we are dealing with has data on age, height, BMI, etc. and we can sum up this data&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;groupbyPcos&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;groupby&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nf"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Data Visualization
&lt;/h1&gt;

&lt;p&gt;Data visualization allows users to explore and analyze data quickly and easily. This is good to get visual insights on patterns that you are like to have in your model.&lt;/p&gt;

&lt;h3&gt;
  
  
  Line Plot
&lt;/h3&gt;

&lt;p&gt;A line plot is a basic plot that shows the trend of data over time. In Pandas, you can create a line plot using the &lt;code&gt;plot()&lt;/code&gt; function. To visualize a simple line plot of the data we have, we run the following code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="c1"&gt;#Line Plot of Sl. No against BMI
&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Sl. No&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;figsize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--veIM97sO--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683152781589/92e4563b-07db-4e3f-861d-cfec362eb745.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--veIM97sO--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683152781589/92e4563b-07db-4e3f-861d-cfec362eb745.png" alt="" width="800" height="318"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;
  
  
  Bar Plot
&lt;/h3&gt;

&lt;p&gt;A bar plot is a plot that shows the distribution of data in different categories. In Pandas, you can create a bar plot using the &lt;code&gt;plot.bar()&lt;/code&gt; function. To visualize a bar plot of the data, we run the following code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;bar&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Sl. No&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;figsize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Scatter Plot
&lt;/h3&gt;

&lt;p&gt;A scatter plot is a plot that shows the relationship between two variables. In Pandas, you can create a scatter plot using the &lt;code&gt;plot.scatter()&lt;/code&gt; function. To visualize a scatter plot of the data, we run the following code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;scatter&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Sl. No&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;figsize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--p3N45gzY--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683153062953/d1ee420c-70fe-4872-a6d6-035fa0b0711b.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--p3N45gzY--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1683153062953/d1ee420c-70fe-4872-a6d6-035fa0b0711b.png" alt="" width="800" height="312"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;
  
  
  Box Plot
&lt;/h3&gt;

&lt;p&gt;A box plot is a plot that shows the distribution of data using quartiles. In Pandas, you can create a box plot using the &lt;code&gt;plot.box()&lt;/code&gt; function. To visualize a box plot of the data, we run the following code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;box&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;Sl. No&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;BMI&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;figsize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;In conclusion, Pandas is a very powerful library used to manipulate data and visualize it for analysis. It offers a wide range of functions to enable a user to play around with their data and make sense of it.&lt;/p&gt;

&lt;p&gt;PS: Access the dataset used &lt;a href="https://drive.google.com/file/d/1_1Jy-VGw3rvYlw4BIaLPzbs-p17aHKKc/view?usp=sharing"&gt;here&lt;/a&gt;. (License: MIT License)&lt;/p&gt;

</description>
    </item>
    <item>
      <title>A Guide to Machine Learning with TensorFlow</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Mon, 06 Feb 2023 22:30:04 +0000</pubDate>
      <link>https://dev.to/kambale/a-guide-to-machine-learning-with-tensorflow-3o6d</link>
      <guid>https://dev.to/kambale/a-guide-to-machine-learning-with-tensorflow-3o6d</guid>
      <description>&lt;h2&gt;
  
  
  &lt;strong&gt;Prerequisites&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Basic understanding of the Python programming language and knowledge of artificial intelligence concepts.&lt;/p&gt;

&lt;h2&gt;
  
  
  What is Machine Learning?
&lt;/h2&gt;

&lt;p&gt;Machine learning (ML) is a subfield of artificial intelligence (AI) that enables computers to learn from data to make predictions and identify patterns. Computers traditionally rely on explicit programming. Machine learning algorithms can be divided into two main categories: supervised and unsupervised learning.&lt;/p&gt;

&lt;h3&gt;
  
  
  &lt;strong&gt;Supervised learning&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Used when the training data includes labeled examples. The algorithm attempts to find the relationship between the input features (independent variables) and the output (dependent variable), which is known as the "ground truth". Once the relationship has been learned, the algorithm can use this knowledge to make predictions on new, unseen data. Common examples of supervised learning include classification (determining the class of an object based on its features) and regression (predicting a continuous value).&lt;/p&gt;

&lt;h3&gt;
  
  
  &lt;strong&gt;Unsupervised learning&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;Used when the training data is unlabeled. The algorithm must identify patterns and structure in the data on its own. Common examples of unsupervised learning include clustering (grouping similar data points) and dimensionality reduction (reducing the number of features in the data).&lt;/p&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Why TensorFlow in Machine Learning?&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;TensorFlow (TF) is an open-source software library for machine learning and deep learning developed by the Google Brain team. It is used for implementing and deploying machine learning models, and it provides a comprehensive and flexible platform for developing deep learning applications by combining the computational algebra of optimization techniques for easy calculation of commonly used mathematical expressions.&lt;/p&gt;

&lt;p&gt;Some of the important features of TensorFlow are:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;The definition, optimization, and calculation of mathematical expressions easily with the help of multi-dimensional arrays called tensors.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;A wide range of programming support (Python, C/C++, Java, R) of deep neural networks and machine learning techniques.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Highly scalable features for computation with various data sets both raw and pre-trained.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;TensorFlow, as a cloud-based framework, comes with the power of GPU computing and automation management.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  &lt;strong&gt;Installing TensorFlow&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;TensorFlow can be installed in Python easily, just like any other module, with a terminal command using pip, the package manager for Python. Open a terminal or command prompt and enter the following command:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;tensorflow

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;em&gt;Note: This general installation command may not work for all operating systems.&lt;/em&gt;&lt;/p&gt;

&lt;h3&gt;
  
  
  &lt;strong&gt;macOS&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;To install TF that is optimized for Apple's macOS processors (especially M1 and M2) without going through the troubles of using the general installation, the following command is used:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;pip install tensorflow-macos

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  &lt;strong&gt;Windows &amp;amp; Ubuntu without GPU&lt;/strong&gt;
&lt;/h3&gt;

&lt;p&gt;You can install the CPU version of TF on Windows &amp;amp; Ubuntu if you do not have an external GPU installed or wish to use the CPU:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;tensorflow-cpu

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;em&gt;Note: Training neural networks with CPUs has performance issues in comparison to powerful GPUs.&lt;/em&gt;&lt;/p&gt;

&lt;p&gt;TensorFlow also provides a high-level API, called Keras, which can simplify the creation and training of machine learning models. You can install Keras using the following command:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;pip &lt;span class="nb"&gt;install &lt;/span&gt;tensorflow-keras

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  &lt;strong&gt;Training a Model in TensorFlow&lt;/strong&gt;
&lt;/h2&gt;

&lt;p&gt;Open Google Colab, create a new Notebook, and run through these basic steps of training a machine learning model using TensorFlow as follows:&lt;/p&gt;

&lt;h3&gt;
  
  
  Import the necessary libraries
&lt;/h3&gt;

&lt;p&gt;These libraries might include &lt;code&gt;matplotlib&lt;/code&gt; (for data visualization), &lt;code&gt;scipy&lt;/code&gt; (for scientific and technical computing), &lt;code&gt;numpy&lt;/code&gt;, &lt;code&gt;pandas&lt;/code&gt;, and others.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;tensorflow&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt; 
&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;datasets&lt;/span&gt;
&lt;span class="c1"&gt;#Import the following libraries if you need them
&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pandas&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;pd&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;scipy&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Load and preview the dataset
&lt;/h3&gt;

&lt;p&gt;In this example, we'll use the iris dataset, which contains 150 samples of iris flowers with four features (sepal length, sepal width, petal length, and petal width) and three classes (setosa, versicolor, and virginica).&lt;/p&gt;

&lt;p&gt;To load the dataset, run:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;iris&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;datasets&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;load_iris&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; 
&lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;iris&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;data&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; 
&lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;iris&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="s"&gt;target&lt;/span&gt;&lt;span class="sh"&gt;"&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To print the last 10 rows of the dataset to preview what it contains, run:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;tail&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--bBzg5ifs--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1675772772135/e7af546a-23e6-490c-b304-60db60d840e3.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--bBzg5ifs--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1675772772135/e7af546a-23e6-490c-b304-60db60d840e3.png" alt="" width="694" height="197"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;
  
  
  Split the dataset into training and test sets
&lt;/h3&gt;

&lt;p&gt;The training set will be used to train the model, while the test set will be used to evaluate its performance.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.model_selection&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;train_test_split&lt;/span&gt; 
&lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;train_test_split&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Preprocess the data
&lt;/h3&gt;

&lt;p&gt;This can include normalizing the features and converting the output labels to one-hot encoding.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="kn"&gt;from&lt;/span&gt; &lt;span class="n"&gt;sklearn.preprocessing&lt;/span&gt; &lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;StandardScaler&lt;/span&gt; 
&lt;span class="n"&gt;scaler&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;StandardScaler&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; 
&lt;span class="n"&gt;x_train&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;scaler&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit_transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;x_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;scaler&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;transform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Define the model
&lt;/h3&gt;

&lt;p&gt;In TensorFlow, you can define a model using the Keras API. A model in Keras is defined as a sequence of layers, and you can choose from a variety of layer types, including dense (fully connected), convolutional, recurrent, and more. For this example, we'll use a simple fully connected (dense) model with three hidden layers and a softmax activation function in the output layer for the three-class classification problem.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;models&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;
  &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;input_shape&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,)),&lt;/span&gt;
  &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
  &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;relu&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
  &lt;span class="n"&gt;tf&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keras&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nc"&gt;Dense&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;activation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;softmax&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Compile the model
&lt;/h3&gt;

&lt;p&gt;Before training, you need to compile the model by specifying the optimizer, loss function, and metrics to use. In this example, we'll use the Adam optimizer, categorical cross-entropy loss, and accuracy as the metric.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;compile&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;adam&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
              &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;sparse_categorical_crossentropy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
              &lt;span class="n"&gt;metrics&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;accuracy&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Train the model
&lt;/h3&gt;

&lt;p&gt;You can train the model using the &lt;code&gt;fit&lt;/code&gt; method, which takes the training data and target values as arguments. You can also specify the batch size and the number of epochs (iterations over the training data).&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Evaluate the model
&lt;/h3&gt;

&lt;p&gt;After training, you can evaluate the model's performance on the test data using the &lt;code&gt;evaluate&lt;/code&gt; method. This will return the loss and accuracy of the model on the test data.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;test_loss&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_acc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;evaluate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="s"&gt;Test Accuracy:&lt;/span&gt;&lt;span class="sh"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_acc&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Make predictions
&lt;/h3&gt;

&lt;p&gt;You can use the trained model to make predictions on new, unseen data using the prediction method.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight python"&gt;&lt;code&gt;&lt;span class="n"&gt;predictions&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_test&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;After making predictions, there are several steps that can be taken:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Evaluate the performance of the model&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Analyze the errors&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Improve the model&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Deploy the model&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Monitor the performance&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Iterate the process&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;We introduced the basics of machine learning and covered the steps to train a machine learning model using TensorFlow. TensorFlow is a powerful and flexible platform for developing machine learning models, and the high-level API, Keras, makes it easy to create and train models.&lt;/p&gt;

&lt;p&gt;While we only covered the basics, TensorFlow offers a wide range of features and tools for developing more complex models. If you're interested in exploring further, there are many resources available, including the TensorFlow website, tutorials, and documentation.&lt;/p&gt;

&lt;p&gt;Machine learning is a rapidly growing field with many exciting applications, and TensorFlow is a great tool for getting started in this area. Whether you're a seasoned developer or just starting, TensorFlow can help you take your machine learning skills to the next level.&lt;/p&gt;

&lt;p&gt;&lt;em&gt;Until we meet again. Same time, same place. Adios!&lt;/em&gt;&lt;/p&gt;

</description>
    </item>
    <item>
      <title>Let's Get Started with Flask, Shall We?</title>
      <dc:creator>Wesley Kambale</dc:creator>
      <pubDate>Thu, 12 Aug 2021 21:05:06 +0000</pubDate>
      <link>https://dev.to/kambale/lets-get-started-with-flask-shall-we-1j0o</link>
      <guid>https://dev.to/kambale/lets-get-started-with-flask-shall-we-1j0o</guid>
      <description>&lt;p&gt;&lt;em&gt;No, not a Vacuum or Thermos flask, okay?&lt;/em&gt;&lt;/p&gt;

&lt;p&gt;I mean Flask, a very popular Python micro-web framework. It is so because it requires no particular tools or libraries to develop web applications. You do not need to validate forms, have a database abstraction layer, or any other components that have pre-existing third-party libraries which provide basic functions. This particular &lt;em&gt;flask&lt;/em&gt; has gat it all, to begin with.&lt;/p&gt;

&lt;p&gt;&lt;em&gt;Kati&lt;/em&gt;, here's how we gonna roll it:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;strong&gt;Installation&lt;/strong&gt; , the very start of bugs, though no one will tell you.&lt;/li&gt;
&lt;li&gt;Run the only successful program, &lt;strong&gt;"Hello World!"&lt;/strong&gt; with Flask.&lt;/li&gt;
&lt;li&gt;Check through the &lt;strong&gt;Directories&lt;/strong&gt;.&lt;/li&gt;
&lt;li&gt;Might as well want to check how &lt;strong&gt;Files&lt;/strong&gt; are structured.&lt;/li&gt;
&lt;li&gt;We shall do a little bit of &lt;strong&gt;Configuration&lt;/strong&gt;.&lt;/li&gt;
&lt;li&gt;And pray it works out because then, we do &lt;strong&gt;Initialization&lt;/strong&gt;.&lt;/li&gt;
&lt;li&gt;Sometimes you have to jump in the air if it works out, but we shall &lt;strong&gt;Run, Flask, Run&lt;/strong&gt;!&lt;/li&gt;
&lt;li&gt;If you doubt what you see, how about &lt;strong&gt;Views&lt;/strong&gt;?&lt;/li&gt;
&lt;li&gt;Not impressed yet? Okay, hold on for the &lt;strong&gt;Templates&lt;/strong&gt;.&lt;/li&gt;
&lt;li&gt;Voil, we gat it, shall we do a &lt;strong&gt;Conclusion&lt;/strong&gt;?&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;&lt;em&gt;Kati tusimbule...&lt;/em&gt;&lt;/p&gt;

&lt;h1&gt;
  
  
  Installation
&lt;/h1&gt;

&lt;p&gt;We need the following installed to get going, otherwise don't &lt;em&gt;kusimbula&lt;/em&gt;:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;a href="https://python.org"&gt;Python&lt;/a&gt; (in this case, Python 3).&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;If you already have Python installed on your system, you should see the following output when you run &lt;code&gt;$ python&lt;/code&gt; on the command line:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ python
Python 3.8.10 (default, Jun 2 2021, 10:49:15) 
[GCC 9.4.0] on linux
Type "help", "copyright", "credits" or "license" for more information.
&amp;gt;&amp;gt;&amp;gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;ul&gt;
&lt;li&gt;
&lt;a href="https://virtualenv.pypa.io/en/stable/"&gt;virtualenv&lt;/a&gt; and &lt;a href="https://virtualenvwrapper.readthedocs.io/en/latest/"&gt;virtualenvwrapper&lt;/a&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Installing virtualenv, creates a Python environment that we need to keep all the dependencies used by different Python projects together. And installing virtualenvwrapper, which is a set of extensions that provide simpler commands while using virtualenv.&lt;/p&gt;

&lt;p&gt;To do this, we need our little friend &lt;code&gt;pip&lt;/code&gt;.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ pip install virtualenv
$ pip install virtualenvwrapper
$ export WORKON_HOME=~/Envs
$ source /usr/local/bin/virtualenvwrapper.sh

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Now, to create and activate a virtualenv, run the following commands:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ mkvirtualenv flask-env
$ workon flask-env

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Note:&lt;/strong&gt; &lt;code&gt;flask-env&lt;/code&gt; is custom, name your environment as best as you can remember.&lt;/p&gt;

&lt;p&gt;Oh, yeah, now we have a virtual environment called &lt;code&gt;flask-env&lt;/code&gt;, which is activated and running. In this env, all dependencies we install will be kept.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Note:&lt;/strong&gt; Remember to always activate this env to work on this or other projects.&lt;/p&gt;

&lt;p&gt;Great, now let's create a directory for our app where all our files will go:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ mkdir flask-project
$ cd flask-project

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;ul&gt;
&lt;li&gt;&lt;a href="http://flask.pocoo.org/"&gt;Flask&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Feeling good? Let's now install, yes, Flask. We'll need our little friend &lt;code&gt;pip&lt;/code&gt; again:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ pip install Flask

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Kyo! Let's see what is contained in the flask, definitely &lt;em&gt;harimu amaate&lt;/em&gt;, there are some dependencies that come along:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ pip freeze
click==6.6
Flask==2.0.1
itsdangerous==0.24
Jinja2==2.11.2
MarkupSafe==0.23
virtualenv==20.0.17
Werkzeug==0.11.11
wadllib==1.3.3
wrapt==1.12.1
zipp==1.0.0

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;em&gt;Wazireeba&lt;/em&gt;? So, Flask uses Click (Command Line Interface Creation Kit) for its command-line interface to add custom shell commands for your app. &lt;code&gt;itsdangerous&lt;/code&gt; provides security when sending data using cryptographical signing. &lt;code&gt;Jinja2&lt;/code&gt; (Not Jinja where they brew Nile Special from), is a powerful template engine for Python, while &lt;code&gt;MarkupSafe&lt;/code&gt; is a HTML string handling library. &lt;code&gt;Werkzeug&lt;/code&gt; is a utility library for WSGI (Web Server Gateway Interface), a protocol that ensures web apps and web servers can communicate effectively.&lt;/p&gt;

&lt;p&gt;You can save the output above in a file. This is good practice because anyone who wants to work on or run your project will need to know the dependencies to install. The following command will save the dependencies in a &lt;code&gt;requirements.txt&lt;/code&gt; file:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;pip freeze &amp;gt; requirements.txt

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  "Hello World!" with Flask
&lt;/h1&gt;

&lt;p&gt;Any beginner must run a "Hello World!" program. To some, this becomes their only successful program in that language, ever! But you don't want to end up like that, do you? So here's how to do our &lt;em&gt;ting&lt;/em&gt; in Flask:&lt;/p&gt;

&lt;p&gt;Create the following file, &lt;code&gt;hello_world.py&lt;/code&gt;, in your favourite text editor; VS Code, Atom, Sublime Text3, and if you ask PHP developers nicely, they will tell you even Microsoft Word, winks:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;# hello_world.py

from flask import Flask
app = Flask( __name__ )

@app.route('/')
def hello_world():
    return 'Hello World!'

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To begin, we import the &lt;code&gt;Flask&lt;/code&gt; class and creating an instance (the object, &lt;code&gt;flask&lt;/code&gt;) of it. We use the &lt;code&gt;__name__&lt;/code&gt; argument to indicate the app's module or package so that Flask knows where to find other files such as templates. Then we have a simple function that will display the string &lt;code&gt;Hello World!&lt;/code&gt;. The preceding decorator simply tells Flask which path to display the result of the function. In this case, we have specified the route &lt;code&gt;/&lt;/code&gt;, which is the home URL.&lt;/p&gt;

&lt;p&gt;Let's see this in action, shall we? In your terminal, run the following:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ export FLASK_APP = hello_world.py
$ flask run
 * Serving Flask app "hello_world.py"
 * Environment: production
   WARNING: This is a development server. Do not use it in a production deployment.
   Use a production WSGI server instead.
 * Debug mode: off
 * Running on http://127.0.0.1:5000/ (Press CTRL+C to quit)

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;ul&gt;
&lt;li&gt;The first command tells the system which app to run. &lt;/li&gt;
&lt;li&gt;The next one starts the server. &lt;/li&gt;
&lt;li&gt;Now Enter the specified URL (&lt;a href="http://127.0.0.1:5000/"&gt;http://127.0.0.1:5000/&lt;/a&gt;) in your browser, don't worry, even &lt;strong&gt;Internet Explorer&lt;/strong&gt; is faster here.&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--Toryv6Pq--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1628797627560/J9BaFalXp.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--Toryv6Pq--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1628797627560/J9BaFalXp.png" alt="flasssskkk.png" width="704" height="241"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;em&gt;Twashuba twanywa&lt;/em&gt;, it did work!&lt;/p&gt;

&lt;h1&gt;
  
  
  Flask Directories
&lt;/h1&gt;

&lt;p&gt;With only one functional file: &lt;code&gt;hello_world.py&lt;/code&gt;, like our project, we are far from a fully-fledged real-world web application that comes bundled up with a lot of files. &lt;em&gt;Therafwa&lt;/em&gt;, it is important to maintain a good directory structure to organize the different components of the application separately.&lt;/p&gt;

&lt;p&gt;The following are some of the common directories in a Flask project:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;code&gt;/app&lt;/code&gt;: This is a directory within &lt;code&gt;flask-project&lt;/code&gt; . We'll put all our code in here, and leave other files, such as the &lt;code&gt;requirements.txt&lt;/code&gt; file, outside.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;/app/templates&lt;/code&gt;: This is where all HTML files will go.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;/app/static&lt;/code&gt;: This is where static files such as CSS and JavaScript files as well as images usually go. However, we won't be needing this folder for this tutorial since we won't be using any static files.
&lt;/li&gt;
&lt;/ol&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ mkdir app app/templates

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;With that command, your project directory should now look like this:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt; flask-project
        app
           templates
        hello_world.py
        requirements.txt

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Well, you can see where the &lt;code&gt;hello_world.py&lt;/code&gt; is now. Kinda out of place now, isn't it? &lt;em&gt;Rindaaho&lt;/em&gt; we'll fix it soon.&lt;/p&gt;

&lt;h1&gt;
  
  
  Flask File Structure
&lt;/h1&gt;

&lt;p&gt;In the "Hello World!" example, we only had one file (remember it?). Well, for us to build a huge website, we'll need more files that serve various functions. And this brings about such a file structure that is common with most Flask apps:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;code&gt;run.py&lt;/code&gt;: This is the application's entry point. We'll run this file to start the Flask server and launch our application.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;config.py&lt;/code&gt;: This file contains the configuration variables for your app, such as database details.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;app/ __init__.py&lt;/code&gt;: This file initializes a Python module. Without it, Python will not recognize the app directory as a module.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;app/views.py&lt;/code&gt;: This file contains all the routes for our application. This will tell Flask what to display on which path.&lt;code&gt;app/models.py&lt;/code&gt;: This is where the models are defined. A model is a representation of a database table in code. However, because we will not be using a database in this tutorial, we won't be needing this file.&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Now ahead and create these files, and also delete &lt;code&gt;hello_world.py&lt;/code&gt; since we won't be needing it anymore:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ touch run.py config.py
$ cd app
$ touch __init__.py views.py
$ rm hello_world.py

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;And there you have your directory structure homeboy:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt; flask-project
        app
           __init__.py
           templates
           views.py
        config.py
        requirements.txt
        run.py

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Heads up! Time to code now...&lt;/p&gt;

&lt;h1&gt;
  
  
  Configuration
&lt;/h1&gt;

&lt;p&gt;The &lt;code&gt;config.py&lt;/code&gt; file should contain one variable per line as you see below:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;# config.py

# Enable Flask's debugging features. Should be False in production
DEBUG = True

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Note&lt;/strong&gt; : This config file is very simplified and would not be appropriate for a more complex application. For bigger applications, you may choose to have different &lt;code&gt;config.py&lt;/code&gt; files for testing, development, and production, and put them in a config directory, making use of classes and inheritance. You may have some variables that should not be publicly shared, such as passwords and secret keys. These can be put in an &lt;code&gt;instance/config.py&lt;/code&gt; file, which should not be pushed to version control.&lt;/p&gt;

&lt;h1&gt;
  
  
  Initialization
&lt;/h1&gt;

&lt;p&gt;Now, we have to initialize our app with all our configurations. This is done in the &lt;code&gt;app/ __init__.py&lt;/code&gt; file. Note that if we set &lt;code&gt;instance_relative_config&lt;/code&gt; to &lt;code&gt;True&lt;/code&gt;, we can use &lt;code&gt;app.config.from_object('config')&lt;/code&gt; to load the &lt;code&gt;config.py&lt;/code&gt; file.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;# app/ __init__.py

from flask import Flask

# Initialize the app
app = Flask( __name__ , instance_relative_config=True)

# Load the views
from app import views

# Load the config file
app.config.from_object('config')

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h1&gt;
  
  
  Flask, Run!
&lt;/h1&gt;

&lt;p&gt;All we have to do now is configure the &lt;code&gt;run.py&lt;/code&gt; file so we can start the Flask server.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;# run.py

from app import app

if __name__ == ' __main__':
    app.run()

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To use the command &lt;code&gt;flask run&lt;/code&gt; as we did before, we would need to set the &lt;code&gt;FLASK_APP&lt;/code&gt; environment variable to &lt;code&gt;run.py&lt;/code&gt;:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ export FLASK_APP = run.py
$ flask run

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;First error? Nah, it is just a 404 page because we haven't written any views for our app. That'll be fixed as we go on.&lt;/p&gt;

&lt;h1&gt;
  
  
  Views in Flask
&lt;/h1&gt;

&lt;p&gt;With our "Hello World!" example, you by now have an understanding of how views work. We use the &lt;code&gt;@app.route&lt;/code&gt; decorator to specify the path where we would like the view to be displayed on. Let's now see what else we can do with views.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;# views.py

from flask import render_template

from app import app

@app.route('/')
def index():
    return render_template("index.html")

@app.route('/about')
def about():
    return render_template("about.html")

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Now, Flask comes with a method, &lt;code&gt;render_template&lt;/code&gt;, which we use to specify which HTML file should be loaded in a particular view. Of course, the &lt;code&gt;index.html&lt;/code&gt; and &lt;code&gt;about.html&lt;/code&gt; files do not exist yet, so Flask will give us a &lt;code&gt;Template Not Found&lt;/code&gt; or &lt;code&gt;Internal Server Error&lt;/code&gt; when we navigate to these paths.&lt;/p&gt;

&lt;h1&gt;
  
  
  Templates
&lt;/h1&gt;

&lt;p&gt;Flask allows us to use a variety of template languages, but &lt;code&gt;Jinja2&lt;/code&gt; is the most popular one. Jinja2 provides syntax that allows us to add some functionality to our HTML files, like &lt;code&gt;if-else&lt;/code&gt; blocks and &lt;code&gt;for&lt;/code&gt; loop, and also use variables inside our templates. Jinja2 also lets us implement template inheritance, which means we can have a base template that other templates inherit from.&lt;/p&gt;

&lt;p&gt;Let's begin by creating the following three HTML files:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;$ cd app/templates
$ touch base.html index.html about.html

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;We'll start with the &lt;code&gt;base.html&lt;/code&gt; file, using a slightly modified version of this example Bootstrap template:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;&amp;lt;!-- base.html --&amp;gt;

&amp;lt;!DOCTYPE html&amp;gt;
&amp;lt;html lang="en"&amp;gt;
  &amp;lt;head&amp;gt;
    &amp;lt;title&amp;gt;{% block title %}{% endblock %}&amp;lt;/title&amp;gt;
    &amp;lt;!-- Bootstrap core CSS --&amp;gt;
    &amp;lt;link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet"&amp;gt;
    &amp;lt;!-- Custom styles for this template --&amp;gt;
    &amp;lt;link href="https://getbootstrap.com/examples/jumbotron-narrow/jumbotron-narrow.css" rel="stylesheet"&amp;gt;
  &amp;lt;/head&amp;gt;
  &amp;lt;body&amp;gt;
    &amp;lt;div class="container"&amp;gt;
      &amp;lt;div class="header clearfix"&amp;gt;
        &amp;lt;nav&amp;gt;
          &amp;lt;ul class="nav nav-pills pull-right"&amp;gt;
            &amp;lt;li role="presentation"&amp;gt;&amp;lt;a href="/"&amp;gt;Home&amp;lt;/a&amp;gt;&amp;lt;/li&amp;gt;
            &amp;lt;li role="presentation"&amp;gt;&amp;lt;a href="/about"&amp;gt;About&amp;lt;/a&amp;gt;&amp;lt;/li&amp;gt;
            &amp;lt;li role="presentation"&amp;gt;&amp;lt;a href="http://flask.pocoo.org" target="_blank"&amp;gt;About Flask&amp;lt;/a&amp;gt;&amp;lt;/li&amp;gt;
          &amp;lt;/ul&amp;gt;
        &amp;lt;/nav&amp;gt;
      &amp;lt;/div&amp;gt;
      {% block body %}
      {% endblock %}
      &amp;lt;footer class="footer"&amp;gt;
        &amp;lt;p&amp;gt; 2021 Wesley Kambale&amp;lt;/p&amp;gt;
      &amp;lt;/footer&amp;gt;
    &amp;lt;/div&amp;gt; &amp;lt;!-- /container --&amp;gt;
  &amp;lt;/body&amp;gt;
&amp;lt;/html&amp;gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Did you notice the &lt;code&gt;{% block %}&lt;/code&gt; and &lt;code&gt;{% endblock %}&lt;/code&gt; tags? We'll also use them in the templates that inherit from the base template:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;&amp;lt;!-- index.html--&amp;gt;

{% extends "base.html" %}
{% block title %}Home{% endblock %}
{% block body %}
&amp;lt;div class="jumbotron"&amp;gt;
  &amp;lt;h1&amp;gt;Flask Is Awesome&amp;lt;/h1&amp;gt;
  &amp;lt;p class="lead"&amp;gt;And I'm glad to be learning so much about it!&amp;lt;/p&amp;gt;
&amp;lt;/div&amp;gt;
{% endblock %}


&amp;lt;!-- about.html--&amp;gt;

{% extends "base.html" %}
{% block title %}About{% endblock %}
{% block body %}
&amp;lt;div class="jumbotron"&amp;gt;
  &amp;lt;h1&amp;gt;The About Page&amp;lt;/h1&amp;gt;
  &amp;lt;p class="lead"&amp;gt;You can learn more about my website here.&amp;lt;/p&amp;gt;
&amp;lt;/div&amp;gt;
{% endblock %}

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;We use the &lt;code&gt;{% extends %}&lt;/code&gt; tag to inherit from the base template. We insert the dynamic content inside the &lt;code&gt;{% block %}&lt;/code&gt; tags. Everything else is loaded right from the base template, so we don't have to re-write things that are common to all pages, such as the navigation bar and the footer.&lt;/p&gt;

&lt;p&gt;Refresh that browser, &lt;em&gt;iwe mwanawe&lt;/em&gt;!&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--zno3WalW--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1628801453625/R8Ieu5hn0.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--zno3WalW--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1628801453625/R8Ieu5hn0.png" alt="hommme.png" width="755" height="345"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--m93TOkCr--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1628801478745/6Dw52DicK.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--m93TOkCr--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_800/https://cdn.hashnode.com/res/hashnode/image/upload/v1628801478745/6Dw52DicK.png" alt="aboooout.png" width="757" height="342"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;em&gt;Kati awo nebwentema!&lt;/em&gt;, but first:&lt;/p&gt;

&lt;h1&gt;
  
  
  Conclusion
&lt;/h1&gt;

&lt;p&gt;You made it! Congratulations on nailing your first Flask web application up! Explore more. You now have a great foundation to start building more complex apps. Check out the &lt;a href="http://flask.pocoo.org/docs/0.11/"&gt;official documentation&lt;/a&gt; for more information and examples.&lt;/p&gt;

&lt;p&gt;Had fun? Follow &lt;a href="https://twitter.com/WesleyKambale"&gt;@WesleyKambale&lt;/a&gt; on Twitter.&lt;/p&gt;

&lt;p&gt;Inspiration and credits for the HTML files go out to &lt;a href="https://twitter.com/mbithenzomo"&gt;Mbithe Nzomo&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Any discussions? Let's have a conversation in the comments below.&lt;/p&gt;

</description>
    </item>
  </channel>
</rss>
