cs2007_2025T3_Q1_AN.pdf

Machine Learning Practice(MLP) · Quiz 1 · Sep 2025

Questions and published explanations below are available without starting a test. Some questions may not have a published solution yet.

Question 147 MSQ · 2.0 marks

Which among the following is true with respect to the Lloyds’ algorithm?

It always converges.
It may fail to converge for an initialization while it may converge for other initialization.
It is sensitive to outliers.
The solution produced is always the optimal.

A published solution is not available for this question yet.

Question 148 MSQ · 4.0 marks

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There will be 50 non-zero eigenvalues of the covariance matrix.
There will be 6 non-zero eigenvalues of the covariance matrix.
Using the first 5 principal components, the dataset can be reconstructed with zero residue.
The variance captured by the top 6 principal components equals the total variance of the dataset.

A published solution is not available for this question yet.

Question 149 MSQ · 4.0 marks

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The points (0, 2), (2, 0), and (2, 2) have the equal probability of being chosen as the second cluster center.
The probability of selecting (2, 2) as the second cluster center is twice that of selecting (0, 2).
If (2, 2) is chosen as the second cluster center, the algorithm will always converge in one iteration.
The tie-breaking rule will affect the final cluster centers.

A published solution is not available for this question yet.

Question 150 MSQ · 4.0 marks

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Posterior mean for Beta(1, 1) is 0.039.
Posterior mean for Beta(1, 1) is 0.03.
Posterior mean for Beta(0.5, 0.5) is 0.025.
Posterior mean for Beta(0.5, 0.5) is 0.034.

A published solution is not available for this question yet.

Question 151 MSQ · 3.0 marks

Which of the following are valid kernel functions? Select all that apply.

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A published solution is not available for this question yet.

Question 152 NAT · 3.0 marks

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A published solution is not available for this question yet.

Question 153 NAT · 3.0 marks

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A published solution is not available for this question yet.

Question 154 MCQ · 2.0 marks

[[IMAGE:d8d9a4ed6cd86254_6_9]] Based on the above data, answer the given subquestions.

What is the covariance matrix of the dataset?

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A published solution is not available for this question yet.

Question 155 NAT · 2.0 marks

[[IMAGE:d8d9a4ed6cd86254_6_9]] Based on the above data, answer the given subquestions.

If standard PCA is performed on this dataset, what is the variance along the first principal component? Enter the answer correct to one decimal place.

A published solution is not available for this question yet.

Question 156 NAT · 2.0 marks

[[IMAGE:d8d9a4ed6cd86254_6_9]] Based on the above data, answer the given subquestions.

If standard PCA is performed on this dataset, what is the variance along the second principal component? Enter the answer correct to one decimal place.

A published solution is not available for this question yet.

Question 157 MCQ · 3.0 marks

[[IMAGE:d8d9a4ed6cd86254_7_14]] Based on the above data, answer the given subquestions.

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A published solution is not available for this question yet.

Question 158 NAT · 3.0 marks

[[IMAGE:d8d9a4ed6cd86254_7_14]] Based on the above data, answer the given subquestions.

[[IMAGE:d8d9a4ed6cd86254_8_20]]

A published solution is not available for this question yet.

Question 159 MCQ · 3.0 marks

[[IMAGE:d8d9a4ed6cd86254_9_21]] Based on the above data, answer the given subquestions.

Perform K-means clustering with K = 2 and initial cluster centers at (−2, 3) and (2,−1). What are the final means of clusters after convergence?

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A published solution is not available for this question yet.

Question 160 NAT · 2.0 marks

[[IMAGE:d8d9a4ed6cd86254_9_21]] Based on the above data, answer the given subquestions.

Suppose we introduce a new data point (0, 0) to the existing dataset and perform K means with the same initial cluster centers. How many iterations would it require now for convergence?

A published solution is not available for this question yet.