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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 11
You are reviewing four papers submitted to a conference on machine learning for medical expert systems. All the four papers validate their superiority on a standard benchmarking cancer dataset, which has only $5 \%$ of positive cancer ... $\text{paper ii and paper iv}$ $\text{paper iii}$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 12
Increasing the regularizing coefficient value for a ridge regressor will Increase or maintain model bias. Decrease model bias. Increase or maintain model variance. Decrease model variance $\text{i and iii}$ $\text{i and iv}$ $\text{ii and iii}$ $\text{ii and iv}$
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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
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 14
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{x}, \mathrm{z})$. Relation $\mathrm{R}$ has $100$ records, and relation $\mathrm{S}$ has $200$ records. What ... attributes, $20000$ records $4$ attributes, $20000$ records $3$ attributes, $200$ records $4$ attributes, $200$ records
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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
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 16
Which of the following statements is/are TRUE? Every relation with two attributes is also in $\mathrm{BCNF}$. Every relation in $\mathrm{BCNF}$ is also in $3 \mathrm{NF}$. No relation can be in both $\mathrm{BCNF}$ and $3 \mathrm{NF}$. None of Above
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 18
Two non-zero vectors $\mathbf{x}$ and $\mathbf{y}$ are perpendicular if $\mathbf{x}^{\mathrm{T}} \mathbf{y}=0$ $\mathbf{x}^{\mathrm{T}} \mathbf{y}>0$ $\mathbf{x}^{\mathrm{T}} \mathbf{y}<0$ None of the above.
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 19
The function $f(x)=1+x+x^{2}$ has a Minima at $x=-0.5$ Maxima at $x=-0.5$ Saddle point at at $x=-0.5$ None of the above.
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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: $\mathbf{x}$ $\mathbf{y}$ $-6$ $6.4$ $2$ $4.7$ $0.2$ $8$ $7$ $2$ $-4$ $3.4$ $-0.5$ $0.5$ $0.3$ $-0.3$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 21
The worst-case running times of Insertion sort, Merge sort and Quick sort respectively are $\Theta(n\operatorname{logn}), \Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right)$ ... $\Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right), \Theta(n\operatorname{logn})$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 22
Consider the following program. int func(int n ) { if (n<=1) return n; else return 3 * func(n-3) - 3 * func(n-2); end } The running time of the above function is $\Theta(\mathrm{n})$ $\Theta\left(n^{\wedge} 2\right)$ $\Theta\left(3^{\wedge} n\right)$ $\Theta\left(2^{\wedge} n\right)$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 23
Which of the following correctly describes the recurrence relation for the standard binary search algorithm on a sorted array of $\mathrm{n}$ numbers where $\mathrm{c}$ ... $\mathrm{T}(\mathrm{n})=\mathrm{T}(\mathrm{n} / 2)+\mathrm{c}$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 24
Consider the following $\mathrm{C}$ program int func(int A[], int n, int m ) { int s= A[0]; for(int i = 1 ; i<= n - 1 ; i ++) total = m * s+ A[i]; return m; } Let $\text{Z}$ be an array of $10$ ... $\text{i}$ such that $0<=i<=9$; The value returned by func $(\text{Z}, 10,2)$ is __________.
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 25
Two eigenvalues of $3 \times 3$ matrix $\mathbf{X}$ are $(1+i)$ and $2$. The determinant of the text matrix $\mathrm{X}$ is __________.
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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 $15$
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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? $V^{D} K$ $K^{V^{D}}$ $\text{VDK}$ $\text{K(V + D)}$
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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 ... $f\left(x^{\prime}\right)+g\left(x^{\prime}\right)$
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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 $(-1,-1)$ $\text{i}$ $\text{i and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii and iv}$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 31
Consider the game tree shown below. The value below each node is the output of the utility function. The subtrees rooted at which of these nodes will be pruned because of alpha-beta pruning? $\text{m and j}$ $\text{r and j}$ $\text{h and p}$ no nodes are pruned
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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 ...
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