Question 20
Consider the following constrained optimization problem:
If
corresponds to the global minimum, find
. Enter your answer correct to one decimal place.
Question 20: Consider the following constrained optimization problem:…
Show answer
A written answer, not marked automatically.
Question 20 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
- Consider the function defined as . For what values of is convex
- 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: 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…