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cs2007_2025T2_Q1_AN.pdf

Business Data Management(BDM) · Quiz 1 · May 2025

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Question 127 MCQ · 3.0 marks

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  4. baseClass, highlighted, btn-disabled       **MLT** **Section Id :** 64065392560 **Section Number :** 9 **Section type :** Online **Mandatory or Optional :** Mandatory **Number of Questions :** 13 **Number of Questions to be attempted :** 13 **Section Marks :** 40 **Display Number Panel :** Yes **Section Negative Marks :** 0 **Group All Questions :** No **Enable Mark as Answered Mark for Review and** No **Clear Response :** **Section Maximum Duration :** 0 **Section Minimum Duration :** 0 **Section Time In :** Minutes **Maximum Instruction Time :** 0

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Question 129 MCQ · 2.0 marks

How does K-means++ algorithm enhance the initialization process as compared to the standard K- means algorithm?
  1. It ensures the algorithm converges in a fixed number of iterations.
  2. It improves centroid initialization by spreading them out, leading to better separated clusters.
  3. It automatically calculates the best value of K.
  4. It removes the need to run the algorithm multiple times.

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Question 130 MCQ · 2.0 marks

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Question 131 MCQ · 4.0 marks

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A published solution is not available for this question yet.

Question 132 MCQ · 4.0 marks

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A published solution is not available for this question yet.

Question 133 MCQ · 3.0 marks

You are presented with a dataset that has latent variables that influences your data. You are asked to use Expectation-Maximization algorithm to best capture the data. How would you define the steps in the EM (Expectation and Maximization) algorithm?
  1. E-step: Estimate the latent variables in the dataset, M-step: Maximize the likelihood over the model parameters.
  2. E-step: Estimate the number of latent variables in the dataset, M-step: Maximize the likelihood over the model parameters.
  3. E-step: Estimate the likelihood over the model parameters, M-step: Maximize the number of latent variables in the dataset.
  4. E-step: Estimate the likelihood over the model parameters, M-step: Maximize the number of parameters in the model.

A published solution is not available for this question yet.

Question 134 MSQ · 3.0 marks

Which of the following statements is/are true?
  1. EM algorithm converges to a global optimum.
  2. Lloyd’s algorithm converges to a local optimum.
  3. Poor initialization does not affect the clusters produced by EM algorithm.
  4. Poor initialization leads to a slower convergence of Lloyd’s algorithm.
  5. Lloyd’s algorithm is sensitive to the number of clusters (k).

A published solution is not available for this question yet.

Question 135 MSQ · 3.0 marks

For a linear regression problem, which among the following are true? Select all that apply.
  1. Gradient descent will converge to a global minimum.
  2. Gradient descent will converge to a local minimum (which is not a global minimum).
  3. Stochastic gradient descent is guaranteed to converge to a global minimum.
  4. Gradient descent will take lesser number of iterations to converge to a local minimum than stochastic gradient descent.

A published solution is not available for this question yet.

Question 136 NAT · 3.0 marks

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    Question 137 NAT · 3.0 marks

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      Question 138 NAT · 2.0 marks

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        Question 139 MCQ · 2.0 marks

        [[IMAGE:03f4a454a5ed8967_9_15]] Based on the above data, answer the given subquestions.
        Which of the following represents the covariance matrix C?
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        A published solution is not available for this question yet.

        Question 140 NAT · 2.0 marks

        [[IMAGE:03f4a454a5ed8967_9_15]] Based on the above data, answer the given subquestions.
        What is the variance of the dataset along the first principal component?
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          Question 141 MCQ · 3.0 marks

          [[IMAGE:03f4a454a5ed8967_9_15]] Based on the above data, answer the given subquestions.
          Find the residues after projecting the data points onto the first principal component. [[IMAGE:03f4a454a5ed8967_10_20]]
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          A published solution is not available for this question yet.

          Question 142 MCQ · 3.0 marks

          [[IMAGE:03f4a454a5ed8967_11_25]] Based on the above data, answer the given subquestions.
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          A published solution is not available for this question yet.

          Question 143 NAT · 1.0 marks

          [[IMAGE:03f4a454a5ed8967_11_25]] Based on the above data, answer the given subquestions.
          Find the mean squared error for the training dataset.
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            A published solution is not available for this question yet.