1
GATE AI 2025
MCQ (Single Correct Answer)
+2
-0

Consider game trees Tree-1 and Tree-2 as shown. The first level is a MAX agent and the second level is a MIN agent. The value in the square node is the output of the utility function.

GATE AI 2025 Machine Learning - Machine Learning Question 1 English For what ranges of $x$ and $y$, the right child of node $B$ and the right child of node $E$ will be pruned by alpha-beta pruning algorithm?
A
$x \in[1, \infty)$ and $y \in(-\infty, 2]$
B
$x \in(-\infty, 2]$ and $y \in(-\infty, 5]$
C
$x \in(-\infty, 2]$ and $y \in[2, \infty)$
D
$x \in[1, \infty)$ and $y \in(-\infty, 5]$
2
GATE AI 2025
MCQ (More than One Correct Answer)
+2
-0

Which of the following statements is/are correct about the rectified linear unit (ReLU) activation function defined as $\operatorname{ReLU}(x)=\max (x, 0)$, where $\mathrm{x} \in \mathbb{R}$ ?

A
ReLU is continuous everywhere
B
ReLU is differentiable everywhere
C
ReLU is not differentiable at $x=0$
D
$\operatorname{ReLU}(x)=\operatorname{ReLU}(a x)$, for all $a \in \mathbb{R}$
3
GATE AI 2025
MCQ (More than One Correct Answer)
+2
-0

Let $x_1, x_2, x_3, x_4, x_5$ be a system of orthonormal vectors in $\mathbb{R}^{10}$. Consider the matrix $A=x_1 x_1^T+\ldots . .+x_5 x_5^T$. Which of the following statements is/are correct?

A
Singular values of $A$ are also its eigenvalues
B
Singular values of $A$ are either 0 or 1
C
Determinant of $A$ is 1
D
$A$ is invertible
4
GATE AI 2025
MCQ (More than One Correct Answer)
+2
-0

Consider designing a linear binary classifier $f(x)=\operatorname{sign} g\left(w^T x+b\right), x \in \mathbb{R}^2$ on the following training data:

Class -1: $\left\{\binom{2}{0},\binom{0}{2},\binom{2}{2}\right\}$, Class - 2: $\left\{\binom{0}{0}\right\}$

Hard-margin support vector machine (SVM) formulation is solved to obtain $w$ and $b$. Which of the following options is/are correct?

A
$w=\binom{4}{4}$ and $b=1$
B
The number of support vectors is 3
C
The margin is $\sqrt{2}$
D
Training accuracy is $98 \%$

GATE Data Science and Artificial Intelligence Papers

All year-wise previous year question papers