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GATE DS&AI 2024 | Question: 12
For any binary classification dataset, let $S_{B} \in \mathbb{R}^{d \times d}$ and $S_{W} \in \mathbb{R}^{d \times d}$ be the between-class and within-class scatter (covariance) matrices, respectively. The Fisher linear discriminant is defined by $u^{*} \in \mathbb{R}^{d}$, ... $S_{B} S_{W} u^{*}=\lambda u^{*}$ $u^{* T} u^{*}=\lambda^{2}$
Arjun
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Feb 16
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Arjun
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Chose the correct big- Θ expression to describe: T(N) = 8 T(N / 2) + 10 N Log(N/10) ;T(1) = c
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I have purchased the IIIT Hyderabad 2024 test series but i can't find the test series anywhere can any one help me
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Feb 26
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24
GATE DS&AI 2024 | Question: 4
Consider performing depth-first search (DFS) on an undirected and unweighted graph $G$ starting at vertex $s$. For any vertex $u$ in $G, d[u]$ is the length of the shortest path from $s$ to $u$. Let $(u, v)$ be an edge in $G$ such that $d[u]<d[v]$ ... from $u$ to $v$ during the above DFS, then $(u, v)$ becomes a $\_\_\_\_\_\_\_\_$ edge. tree cross back gray
Arjun
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Feb 16
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Arjun
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GATE DS&AI 2024 | Question: 38
Which of the following statements is/are TRUE? Note: $\mathbb{R}$ denotes the set of real numbers. There exist $\text{M} \in \mathbb{R}^{3 \times 3}, \text{p} \in \mathbb{R}^{3}$, and $\text{q} \in \mathbb{R}^{3}$ ... $\text{Mx}=\text{p}$ has a unique solution and $\text{M x}=\text{q}$ has no solutions.
Arjun
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Feb 16
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Arjun
796
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GATE DS&AI 2024 | Question: 55
Two fair coins are tossed independently. $X$ is a random variable that takes a value of $1$ if both tosses are heads and $0$ otherwise. $Y$ is a random variable that takes a value of $1$ if at least one of the tosses is heads and $0$ otherwise. The value of the covariance of $X$ and $Y$ is $\_\_\_\_\_\_\_$ (rounded off to three decimal places).
Arjun
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Feb 16
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Arjun
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GATE DS&AI 2024 | Question: 18
Consider the following tree traversals on a full binary tree: Preorder Inorder Postorder Which of the following traversal options is/are sufficient to uniquely reconstruct the full binary tree? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$
Arjun
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Feb 16
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Arjun
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28
GATE DS&AI 2024 | Question: 43
Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares. Which of the following is/are TRUE? $\text{(i)}$ is linearly separable. $\text{(ii)}$ is linearly separable. $\text{(iii)}$ is linearly separable. $\text{(iv)}$ is linearly separable.
Arjun
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Feb 16
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Arjun
719
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29
GATE DS&AI 2024 | Question: 16
Consider a database that includes the following relations: Defender(name, rating, side, goals) Forward(name, rating, assists, goals) Team(name, club, price) Which ONE of the following relational algebra expressions checks that every name occurring in Team appears in ... $\left.)\right) \backslash \Pi_{\text {name }}($ Team $)=\phi$
Arjun
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Feb 16
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Arjun
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30
du ques.
A program is running on a specific machine (CPU) with the following parameters: i) Total instructions executed =10^7 ii) Average CPI = 2.5 cycles per instruction. iii)CPU clock rate=200MHz (clock cycle = 1/clock rate). Find the execution time for this program.
Sheikh Rafi
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Feb 24
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Sheikh Rafi
65
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0
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31
GATE DS&AI 2024 | Question: 34
Consider a state space where the start state is number $1$. The successor function for the state numbered $n$ returns two states numbered $n+1$ and $n+2$. Assume that the states in the unexpanded state list are expanded in the ascending order of ... than BFS. Both BFS and DFS expand equal number of states. Both BFS and DFS do not reach the goal state number $6$.
Arjun
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Feb 16
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Arjun
793
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32
GATE DS&AI 2024 | Question: 2
Three fair coins are tossed independently. $T$ is the event that two or more tosses result in heads. $S$ is the event that two or more tosses result in tails. What is the probability of the event $T \cap S$? $0$ $0.5$ $0.25$ $1$
Arjun
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Feb 16
by
Arjun
929
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33
GATE DS&AI 2024 | Question: 15
Consider the following statement: In adversarial search, $\alpha-\beta$ pruning can be applied to game trees of any depth where $\alpha$ is the (m) value choice we have formed so far at any choice point along the path for the MAX player and $\beta$ is the (n ... $(\mathbf{m})=$ highest,$(\mathbf{n})=$ lowest $(\mathbf{m})=$ lowest, $(\mathbf{n})=$ lowest
Arjun
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Feb 16
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Arjun
659
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gate-ds-ai-2024
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34
GATE DS&AI 2024 | Question: 3
Consider the matrix $\boldsymbol{M}=\left[\begin{array}{cc}2 & -1 \\ 3 & 1\end{array}\right]$. Which ONE of the following statements is TRUE? The eigenvalues of $\boldsymbol{M}$ are non-negative and real. The eigenvalues of ... zero. One eigenvalue of $\boldsymbol{M}$ is non-negative and real, and another eigenvalue of $\boldsymbol{M}$ is negative and real.
Arjun
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Feb 16
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Arjun
808
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35
GATE DS&AI 2024 | Question: 8
Match the items in Column $1$ with the items in Column $2$ in the following table: \begin{array}{|l|l|} \hline \text{Column 1} & \text{Column 2} \\ \hline \text{(p) Principal Component Analysis} & \text{(i) Discriminative Model} \\ \text{(q) Naïve Bayes ... $(\mathrm{p})-(\mathrm{iii}),(\mathrm{q})-(\mathrm{ii}),(\mathrm{r})-(\mathrm{i})$
Arjun
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Feb 16
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Arjun
1.1k
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gate-ds-ai-2024
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GATE DS&AI 2024 | Question: 17
Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹$46000$, ₹ $170000$, ₹ $96000$, and ₹ $21000$, respectively. The $z$-score normalized income value of ₹ $106000$ is closest to which ONE of the following options? $0.217$ $0.476$ $0.623$ $2.304$
Arjun
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Feb 16
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Arjun
672
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37
GATE DS&AI 2024 | Question: 5
For any twice differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$, if at some $x^{*} \in \mathbb{R}, f^{\prime}\left(x^{*}\right)=0$ and $f^{\prime \prime}\left(x^{*}\right)>0$, then the function $f$ ... $x=x^{*}$. Note: $\mathbb{R}$ denotes the set of real numbers. local minimum global minimum local maximum global maximum
Arjun
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Feb 16
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Arjun
830
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38
Hello everyone, I am doing Btech in CSE with specialization in Data science I wanted to ask is it a eligible degree for admission in mtech of IITs (Is it considered the same as CSE Core) while admission
Rahul Sharma0408
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Feb 20
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Rahul Sharma0408
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39
GATE DS&AI 2024 | Question: 39
Let $\mathbb{R}$ be the set of real numbers, $U$ be a subspace of $\mathbb{R}^{3}$ and $\text{M} \in \mathbb{R}^{3 \times 3}$ be the matrix corresponding to the projection on to the subspace $U$. Which of the following statements is/are TRUE? If $U$ is a ... of $\mathbb{R}^{3}$, then the null space of $\text{M}$ is a $1$-dimensional subspace. $M^{2}=M$ $M^{3}=M$
Arjun
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Feb 16
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Arjun
724
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GATE DS&AI 2024 | Question: 10
Given a dataset with $K$ binary-valued attributes (where $K>2$ ) for a two-class classification task, the number of parameters to be estimated for learning a naïve Bayes classifier is $2^{K}+1$ $2 K+1$ $2^{K+1}+1$ $K^{2}+1$
Arjun
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Feb 16
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Arjun
796
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