Machine Learning Techniques, Quiz 1

January 2026 term, 15 Mar 2026, Set 1

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Question 1

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Consider a clustering problem with

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data-points and two clusters

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. As initialization, a subset of the dataset comprising the first fifty data-points, call this

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, are assigned to cluster

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and the remaining points, call this

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Select one option

• A.

  Scenario-1 is possible, but scenario-2 is impossible.

• B.

  Scenario-1 is impossible, but scenario-2 is possible.

• C.

  Both scenarios are possible.

• D.

  Both scenarios are impossible.

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Consider a clustering problem with Figure from the original question paper data-points and two clusters Figure from the original question paper . As initialization, a subset of the dataset comprising the first fifty data-points, call this Figure from the original question paper , are assigned to cluster Figure from the original question paper and the remaining points, call this Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Consider a polynomial kernel of degree on a feature space of dimension . How many features will the transformed space have Consider the Gaussian kernel, with . Compute the value of and enter your answer correct to two decimal places.