GATE DA Machine Learning PYQs & Answers — Page 2

Questions 11–20 of 28. Imported answers require independent review unless marked reviewed.

Let

and

be two sets of objects. Let

be a measure of dissimilarity between two objects

and

. Consider the following definitions of dissimilarity between

and

Which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

Single Linkage Clustering uses DIS-1

Single Linkage Clustering uses DIS-2

Complete Linkage Clustering uses DIS-2

Complete Linkage Clustering uses DIS-1

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Given data

of the form

, we fit a model

using linear least-squares regression. The optimal value of

is __________ (Round off to three decimal places)

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The naive Bayes classifier is used to solve a two-class classification problem with class-labels

. Suppose the prior probabilities are

and

. Assuming a discrete feature space with

for a specific feature vector

. The probability of misclassifying

is __________ (Round off to two decimal places)

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Consider the neural network shown in the figure with inputs:

weights:

output:

denotes the ReLU function,

Diagram for Data Science and Artificial Intelligence question 42

Given

which one of the following is correct?

Your answerChoose one option.

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Which of the following statements is/are correct about the rectified linear unit (ReLU) activation function defined as

, where

Your answerSelect all correct options. You can choose more than one.

ReLU is continuous everywhere

ReLU is differentiable everywhere

ReLU is not differentiable at

, for all

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Consider designing a linear binary classifier

on the following training data:

Class-1:

, Class-2:

Hard-margin support vector machine (SVM) formulation is solved to obtain

and

. Which of the following options is/are correct?

Your answerSelect all correct options. You can choose more than one.

and

The number of support vectors is 3

The margin is

Training accuracy is 98%

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Consider a two-class problem in

with class labels

and

. Let

and

be the means of the two classes. Given test sample

, a classifier calculates the squared Euclidean distance (denoted by

) between

and the means of the two classes and assigns the class label that the sample

is closest to. That is, the classifier computes

and assigns the label

, and

otherwise. Which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

The sample

is assigned the label

is a linear function of

, where

and

are functions of

and

is a quadratic polynomial in

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Let

be a dataset of

observations where each

. It is given that

. The covariance matrix computed from

has eigenvalues

. Let

be the direction of maximum variance with

The value of

(Answer in integer)

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Consider the dataset with six datapoints:

, where

and the labels are given by

, and

. A hard margin linear support vector machine is trained on the above dataset. Which ONE of the following sets is a possible set of support vectors?

Your answerChoose one option.

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Match the items in Column 1 with the items in Column 2 in the following table:

Column 1: (p) Principal Component Analysis; (q) Naïve Bayes Classification; (r) Logistic Regression.

Column 2: (i) Discriminative Model; (ii) Dimensionality Reduction; (iii) Generative Model

Your answerChoose one option.

(p) – (iii), (q) – (i), (r) – (ii)

(p) – (ii), (q) – (i), (r) – (iii)

(p) – (ii), (q) – (iii), (r) – (i)

(p) – (iii), (q) – (ii), (r) – (i)

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GATE DA Machine Learning PYQs

Question 30

Question 34

Question 35

Question 42

Question 48

Question 53

Question 55

Question 60

Question 17

Question 18