Hot questions in Others / GATE Overflow for GATE CSE

2 votes

4 answers

1

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 13
A decision tree classifier learned from a fixed training set achieves $100 \%$ accuracy. Which of the following models trained using the same training set will also achieve $100 \%$ accuracy? i) Logistic regressor. ii) A ... Naïve Bayes classifier. $\text{i}$ $\text{i and ii}$ all of the above none of the above

A decision tree classifier learned from a fixed training set achieves $100 \%$ accuracy. Which of the following models trained using the same training set will also achie...

admin

3.9k views

admin asked Oct 21, 2023

0 votes

6 answers

2

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 6
Which among the following may help to reduce overfitting demonstrated by a model Change the loss function. Reduce model complexity. Increase the training data. Increase the number of optimization routine steps. $\text{ii and i}$ $\text{ii and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii, and iv}$

Which among the following may help to reduce overfitting demonstrated by a modelChange the loss function. Reduce model complexity.Increase the training data.Increase the ...

admin

3.2k views

admin asked Oct 21, 2023

1 votes

2 answers

3

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 30
For perfectly spherical $2\text{D}$ data centered at the origin, which of the following the pairs of vectors are possible pairs of principal components? $(1,0)$ and $(0,1)$ $(0,-1)$ and $(-1,0)$ $(1,1)$ and $(1,-1)$ $(-1,1)$ and $(-1,-1)$ $\text{i}$ $\text{i and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii and iv}$

For perfectly spherical $2\text{D}$ data centered at the origin, which of the following the pairs of vectors are possible pairs of principal components?$(1,0)$ and $(0,1)...

admin

2.0k views

admin asked Oct 21, 2023

9 votes

0 answers

4

IIIT Delhi Coding questions
Can somebody please tell what kind of coding question should I prepare for IIIT Delhi PGCAT Coding round? Also please share memory based questions for PGCAT Technical exam.

Can somebody please tell what kind of coding question should I prepare for IIIT Delhi PGCAT Coding round? Also please share memory based questions for PGCAT Technical exa...

Starprince07

588 views

Starprince07 asked Mar 5

1 votes

2 answers

5

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 3
Which of the following first-order logic sentence matches closest with the sentence "All students are not equal"? ...

Which of the following first-order logic sentence matches closest with the sentence "All students are not equal"?$\forall x \exists y[\operatorname{student}(x) \wedge \op...

admin

3.4k views

admin asked Oct 21, 2023

1 votes

3 answers

6

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 38
Given a matrix $\mathbf{A}_{\mathrm{mxn}}$. The following statements are made regarding the matrix $\text{A}$. $\mathrm{P}$. The column space is orthogonal to the row space $\mathrm{Q}$. The column space is orthogonal to the left null ... $\text{R}$ $\text{Q}$ and $\text{R}$ $\text{P}$ and $\text{T}$

Given a matrix $\mathbf{A}_{\mathrm{mxn}}$. The following statements are made regarding the matrix $\text{A}$.$\mathrm{P}$. The column space is orthogonal to the row spac...

admin

1.4k views

admin asked Oct 21, 2023

1 votes

3 answers

7

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 43
Consider a Multi-Layer Perceptron $\text{(MLP)}$ model with one hidden layer and one output layer. The hidden layer has $10$ neurons, and the output layer has $3$ ... function used is the sigmoid function. Calculate the total number of trainable parameters in this $\text{MLP}$ model.

Consider a Multi-Layer Perceptron $\text{(MLP)}$ model with one hidden layer and one output layer. The hidden layer has $10$ neurons, and the output layer has $3$ neurons...

admin

2.2k views

admin asked Oct 21, 2023

0 votes

2 answers

8

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 20
The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is: $\mathbf{x}$ $\mathbf{y}$ $-6$ $6.4$ $2$ $4.7$ $0.2$ $8$ $7$ $2$ $-4$ $3.4$ $-0.5$ $0.5$ $0.3$ $-0.3$

The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is:$\mathbf{x}$$\mathbf{y...

admin

1.8k views

admin asked Oct 21, 2023

1 votes

3 answers

9

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 28
Given a discrete $\text{K}$-class dataset containing $\text{N}$ points, where sample points are described using $\text{D}$ features with each feature capable of taking $\text{V}$ values, how many parameters need to be estimated for Naïve Bayes Classifier? $V^{D} K$ $K^{V^{D}}$ $\text{VDK}$ $\text{K(V + D)}$

Given a discrete $\text{K}$-class dataset containing $\text{N}$ points, where sample points are described using $\text{D}$ features with each feature capable of taking $\...

admin

2.4k views

admin asked Oct 21, 2023

1 votes

1 answer

10

TIFR CSE 2024 | Part A | Question: 15
Suppose Michelle gives Asna and Badri two different numbers from $\mathbb{N}=\{1,2,3, \ldots\}$. It is commonly known to both Asna and Badri that they each know only their own number and that it is different from the other one. The following conversation ensues ... was given $3$, Badri was given $4$. Asna was given $4$, Badri was given $3$. None of the above.

Suppose Michelle gives Asna and Badri two different numbers from $\mathbb{N}=\{1,2,3, \ldots\}$. It is commonly known to both Asna and Badri that they each know only thei...

admin

190 views

admin asked Jan 12

1 votes

2 answers

11

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 15
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{y})$, and perform the following operation. $\text{R(x, y) DIVIDE S(Y)}$ If $\mathrm{X}$ is the relation returns by the above operation, which of the ... $|X| \leq|S|$ $|X| \leq|R|$ AND $|X| \leq|S|$ All of the Above

Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{y})$, and perform the following operation. ...

admin

2.0k views

admin asked Oct 21, 2023

0 votes

0 answers

12

Graph Theory
A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below graphs:

A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below grap...

alexa16

85 views

alexa16 asked Apr 11

0 votes

3 answers

13

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 35
Given a smooth sufficiently differentiable function, the following statements are given (P) A concave function can have a global minimum (Q) All convex functions have a global minimum $\text{P}$ and $\text{Q}$ are true $\text{P}$ is ... $\text{P}$ is false and $\text{Q}$ is true $\text{P}$ and $\text{Q}$ are false

Given a smooth sufficiently differentiable function, the following statements are given(P) A concave function can have a global minimum(Q) All convex functions have a glo...

admin

2.1k views

admin asked Oct 21, 2023

3 votes

3 answers

14

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 50
Assume that $\text{S}$ is a stack and $\text{Q1}$ and $\text{Q2}$ are two Queues which support the Enqueue and Dequeue operations. Consider the following pseudo code for implementing the Pop and Push operation on $\text{S}$. Push(S, ... $\text{B, D}$- Enqueue $\text{A, D}$ - Enqueue $\text{B, C}$ - Dequeue

Assume that $\text{S}$ is a stack and $\text{Q1}$ and $\text{Q2}$ are two Queues which support the Enqueue and Dequeue operations. Consider the following pseudo code for ...

admin

1.2k views

admin asked Oct 21, 2023

1 votes

2 answers

15

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 40
A file with $100,000$ records is indexed with $\mathrm{B}+$ tree. If the size of a memory block is $2 \mathrm{~K}$ bytes, the size of a key is $4$ bytes, the size of a pointer is $4$ bytes, what ... the nodes, only keys are stored. The sizes of the pointers are same, irrespective of they point to a node of a record.

A file with $100,000$ records is indexed with $\mathrm{B}+$ tree. If the size of a memory block is $2 \mathrm{~K}$ bytes, the size of a key is $4$ bytes, the size of a po...

admin

1.7k views

admin asked Oct 21, 2023

0 votes

1 answer

16

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 29
$K\left(x, x^{\prime}\right)=f(x) g\left(x^{\prime}\right)+f\left(x^{\prime}\right) g(x)$, where $f$ and $g$ are real-valued functions $\left(\mathcal{R}^{D} \rightarrow \mathcal{R}\right)$ is not a valid kernel ... $f\left(x^{\prime}\right)+g\left(x^{\prime}\right)$

$K\left(x, x^{\prime}\right)=f(x) g\left(x^{\prime}\right)+f\left(x^{\prime}\right) g(x)$, where $f$ and $g$ are real-valued functions $\left(\mathcal{R}^{D} \rightarrow ...

admin

1.2k views

admin asked Oct 21, 2023

1 votes

1 answer

17

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 32
Consider the Bayes Net containing four Boolean random variables $\text{(A, B, C, D)}$, with the following convention: $A=$ True $\Rightarrow A=a$, and $A=$ False $\Rightarrow A=$ $\neg a$; and similarly for the other variables. The conditional ...

Consider the Bayes Net containing four Boolean random variables $\text{(A, B, C, D)}$, with the following convention: $A=$ True $\Rightarrow A=a$, and $A=$ False $\Righta...

admin

1.8k views

admin asked Oct 21, 2023

0 votes

2 answers

18

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 27
Consider the search space depicted in the Figure below. $\text{S}$ is the initial state. $\text{G1}$ and $\text{G2}$ are two states that satisfy the goal test. The cost of traversing from one state to another is depicted by the numerical ... $16$ $\text{G1}$ and $15$ $\text{G2}$ and $16$ $\mathrm{G}2$ and $15$

Consider the search space depicted in the Figure below. $\text{S}$ is the initial state. $\text{G1}$ and $\text{G2}$ are two states that satisfy the goal test. The cost o...

admin

2.6k views

admin asked Oct 21, 2023

0 votes

1 answer

19

TIFR CSE 2024 | Part A | Question: 5
Let $p(x)$ be a polynomial with real coefficients which satisfies $p(r)=p(-r)$ for every real number $r$. Let $n \geq 5$ be a positive integer. Suppose that $p(i)=i$ for all $1 \leq i \leq n$. What is the maximum possible value of the absolute value of the coefficient of ${x^{5}}$ in $p(x)$ ? $0$ $5$ $10$ $n$ $n+1$

Let $p(x)$ be a polynomial with real coefficients which satisfies $p(r)=p(-r)$ for every real number $r$. Let $n \geq 5$ be a positive integer. Suppose that $p(i)=i$ for ...

admin

160 views

admin asked Jan 12

0 votes

1 answer

20

TIFR CSE 2024 | Part A | Question: 4
Let $z_{1}, z_{2}, z_{3}, \ldots, z_{2023}$ be a permutation of the numbers $1,2,3, \ldots, 2023$. Which of the following is true about the product $\prod_{i=1}^{2023}\left(z_{i}-i\right)$ ? Note: The parity of an ... such that swapping their values does not change the parity of the above product. None of the above statements is true.

Let $z_{1}, z_{2}, z_{3}, \ldots, z_{2023}$ be a permutation of the numbers $1,2,3, \ldots, 2023$. Which of the following is true about the product $\prod_{i=1}^{2023}\le...

admin

132 views

admin asked Jan 12

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