Question 1
Consider the function defined as . For what values of is convex
—
—
Question 1: Consider the function defined as . For what values of is …
Show answer
Correct answer
—
Question 1 of 38 in the IIT Madras BS Machine Learning Foundations (MLF) End Term paper sat on 21 Dec 2025, in the September 2025 term (Machine Learning Foundations 18 Dec 25). It carries 3 marks.
More questions from this paper
- A real estate company wants to create a model to predict house prices based on the size of the house. They collect data…
- Which of the following is/are true
- Let . Find the directional derivative of at the point in the direction of unit vector along .
- An ML team wants to predict whether an email is spam or not by using some classification models. Therefore, the team de…
- Consider the convex hull of the set of points . Which of the following points belongs to the convex hull?
- Let be a continuous random variable with the probability density function: What is the value of
- If is a square invertible matrix, which of the following is/are true?
- is a matrix whose eigenvalues are . Consider the set as defined below: Find .
- An analyst monitors the number of defective items produced daily. Let denote number of defective items produced in a da…
- Using the method of Lagrange multipliers, find a point on the circle centered at with radius that is closest to the poi…
- Consider two datasets in , and , each having three points as shown below. The figure is drawn to scale. PCA is run on b…
- Find the waiting time such that 95% of customers are served within minutes.
- The time (in minutes) a bank employee spends assisting a customer follows an exponential distribution with parameter . …
- What is the probability that a randomly chosen customer waits between and minutes
- Anil throws a dart onto a circular board. Let a random variable denote the distance from the center to the point where …
- Using Chebyshev's inequality, find an upper bound for , where represents the mean of the random variable . Enter your a…
- Using the method of Lagrange multipliers, find a point on the circle centered at with radius that is closest to the poi…
- Consider the following constrained optimization problem: Answer the sub-questions assuming that we take a very small st…
- Consider the following constrained optimization problem: If corresponds to the global minimum, find . Enter your answer…
- Consider the following constrained optimization problem: Answer the sub-questions assuming that we take a very small st…
- If and , where Based on the above data, answer the given subquestions. What is the distribution of
- Consider the following constrained optimization problem: Answer the sub-questions assuming that we take a very small st…
- If and , where Based on the above data, answer the given subquestions. What is the distribution of
- If and , where Based on the above data, answer the given subquestions. What is the distribution of
- If and , where Based on the above data, answer the given subquestions. Find the covariance matrix of .
- If and , where Based on the above data, answer the given subquestions. What is the distribution of
- A company aims to minimize its production cost, represented by the following quadratic function: The company applies th…
- If and , where Based on the above data, answer the given subquestions. Find the covariance matrix of .
- A company aims to minimize its production cost, represented by the following quadratic function: The company applies th…
- A company aims to minimize its production cost, represented by the following quadratic function: The company applies th…
- A company aims to minimize its production cost, represented by the following quadratic function: The company applies th…
- A cafe records the time (in minutes) a customer waits for a freshly made sandwich. The waiting time follows an exponent…
- Consider the following constrained optimization problem: Answer the sub-questions assuming that we take a very small st…
- If and , where Based on the above data, answer the given subquestions.
- A company aims to minimize its production cost, represented by the following quadratic function: The company applies th…
- If and , where Based on the above data, answer the given subquestions.
- A company aims to minimize its production cost, represented by the following quadratic function: The company applies th…