GATE Data Science & AI

For a classification problem, Principal Component Analysis (PCA) has been used to reduce the dimensionality of a feature space from 100 to 10. Which of the following options is tru...

Consider that you are training a classifier for a 10-class classification problem. Each input is represented as a 512-dimensional vector. There are 1000 samples, out of which first...

Suppose a random variable Z follows Normal($\mu$ = 0, $\sigma^2$ = 1) distribution with probability density function $g(z)$ and cumulative distribution function $G(z)$. Another ran...

Consider that for a supervised learning task, the objective function being minimized is $f_w(x) = wx$, where $x \in \mathbb{R}$ is the input and $w \in \mathbb{R}$ is the parameter...

Let X and Y be two independent random variables. X follows Bernoulli(p = 0.3) distribution and Y follows Normal(μ = 0, σ² = 100) distribution. Which of the following options is the...

Let X be a discrete valued random variable with cumulative distribution function F(x). Which of the following statements is/are correct?

Consider that Linear Ridge Regression is being used to learn a prediction function y_pred = w^T x, where w, x ∈ R^2 and Mean Absolute Error (MAE) is used to measure the prediction...