Figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(D) Option figure from the original question paper

The random variable y is being transformed according to the measurement mapping: z = Cy + \epsilon, where: - z \in \mathbb{R}^d, - C \in \mathbb{R}^{d \times n}, - \epsilon \sim \mathcal{N}(0, \sigma^2 I_d) is independent Gaussian (measurement) noise. Which of the following represents the conditional probability distribution p(z \mid y)?

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(D) Option figure from the original question paper

MLF End Term: 13 April 2025, Set QDD3 (January 2025 term)

Question 1

+2 marksOne correct option

Question 2

+3 marksOne correct option

The random variable $y$ is being transformed according to the measurement mapping:

$z = Cy + \epsilon,$

where:

$z \in \mathbb{R}^d$ ,
$C \in \mathbb{R}^{d \times n}$ ,
$\epsilon \sim \mathcal{N}(0, \sigma^2 I_d)$ is independent Gaussian (measurement) noise.

Which of the following represents the conditional probability distribution $p(z \mid y)$ ?

Question 3

+3 marksOne or more correct options

Which of the following statements about singular value decomposition (SVD) is/are true?

Select all that apply.

A
Singular value decomposition is possible only for a square matrix.
B
Singular value decomposition is possible only for a symmetric matrix.
C
The singular values of a matrix are always non-negative.
D
The singular values of matrices A and A^(T) are the same.

11 more questions in this paper

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More on the MLF End Term 13 Apr 2025 Set QDD3 paper

The IIT Madras BS Machine Learning Foundations (MLF) End Term paper sat on 13 Apr 2025, in the January 2025 term, set QDD3: 14 questions for 40 marks in 180 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.

Feature	MLF End Term 13 Apr 2025 Set QDD3 at a glance
Term	January 2025 term
Subject	Machine Learning Foundations
Course code	BSCS2004
Questions	14
Marks	40
Duration	180 min
MCQ	2
MSQ	7
Numerical	5
Official paper	IIT M DIPLOMA AN EXAM QDD3 13 Apr 2025
Negative marking	No negative marking.
Updated	25 Sept 2026

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Set QDD1