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Sajjad Rahman
Sajjad Rahman

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Gaussian Processes & Reproducibility

Q1. Multivariate Normal Distribution

A multivariate Gaussian is fully defined by:

A. Mean only
B. Covariance only
C. Mean and covariance
D. Variance only

Answer: C


Q2. Covariance Matrix Property

The covariance matrix Σ must be:

A. Negative
B. Diagonal only
C. Symmetric
D. Random

Answer: C


Q3. Gaussian Process Definition

A Gaussian Process is:

A. Parametric model
B. Deterministic function
C. Distribution over functions
D. Classification model

Answer: C


Q4. GP Output

Gaussian Processes provide:

A. Only prediction
B. Only variance
C. Prediction + uncertainty
D. Only labels

Answer: C


Q5. Kernel Function Role

The kernel defines:

A. Mean
B. Covariance structure
C. Labels
D. Loss function

Answer: B


Q6. Squared Exponential Kernel

If x₁ = x₂, covariance is:

A. 0
B. 1
C. ∞
D. −1

Answer: B


Q7. Distance Effect on Covariance

If |x₁ − x₂| increases:

A. Covariance increases
B. Covariance decreases
C. No change
D. Becomes negative

Answer: B


Q8. GP Length Scale (λ)

Large λ leads to:

A. Wiggly function
B. Smooth function
C. Random output
D. No prediction

Answer: B


Q9. Signal Variance (σ²f)

Increasing signal variance causes:

A. Smaller outputs
B. Larger variation
C. No effect
D. More noise

Answer: B


Q10. Noise Variance (σ²n)

Noise variance controls:

A. Smoothness
B. Data noise level
C. Distance
D. Kernel type

Answer: B


Q11. GP Model Characterisation

A GP is fully defined by:

A. Kernel only
B. Mean only
C. Mean + covariance
D. Hyperparameters only

Answer: C


Q12. One-vs-All Classification

For k classes, number of classifiers:

A. 1
B. k
C. k²
D. k(k−1)/2

Answer: B


Q13. One-vs-One Classification

Number of classifiers:

A. k
B. k−1
C. k(k−1)/2
D. 2k

Answer: C


Q14. One-Hot Encoding

A categorical variable with c values becomes:

A. 1 variable
B. c variables
C. c² variables
D. log(c) variables

Answer: B


Q15. Imbalanced Data Issue

Models tend to:

A. Underpredict majority class
B. Overpredict majority class
C. Ignore data
D. Always balance

Answer: B


Q16. Undersampling

Undersampling means:

A. Adding data
B. Removing majority samples
C. Increasing noise
D. Feature selection

Answer: B


Q17. Reproducibility Definition

Reproducibility means:

A. Same author repeats results
B. Others reproduce results with own implementation
C. Same dataset only
D. Same code only

Answer: B


Q18. Repeatability

Repeatability means:

A. Others reproduce results
B. Same author repeats experiment
C. Different datasets
D. Random runs

Answer: B


Q19. Random Seed

Using same seed ensures:

A. Different results
B. Same results
C. Faster training
D. Better accuracy

Answer: B


Q20. McNemar’s Test

Used for:

A. Clustering
B. Regression
C. Comparing classifiers
D. Feature selection

Answer: C


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