Question 1
Consider the function defined as . For what values of is convex
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Consider the function defined as . For what values of is convex
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A real estate company wants to create a model to predict house prices based on the size of the house. They collect data from three recent sales. There are two features: size (hundreds of sq ft) and number of bedrooms. The data-matrix and the price vector (in hundreds of thousands of rupees) are:
The objective is to find the weight vector that minimizes the sum of squared errors given by the loss function:
If is the value that minimizes , then which of the following is ?




Consider
Which of the following is/are true
is Hermitian.
is unitary.
is positive semi-definite.
is positive definite.
is invertible.
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The IIT Madras BS Machine Learning Foundations (MLF) End Term paper sat on 21 Dec 2025, in the September 2025 term: 38 questions for 86 marks in 180 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.
| Feature | MLF End Term 21 Dec 2025 at a glance |
|---|---|
| Term | September 2025 term |
| Subject | Machine Learning Foundations |
| Course code | BSCS2004 |
| Questions | 38 |
| Marks | 86 |
| Duration | 180 min |
| MCQ | 15 |
| MSQ | 4 |
| Written | 19 |
| Official paper | Machine Learning Foundations 18 Dec 25 |
| Negative marking | No negative marking. |
| Updated |