In this article, Answers for NPTEL Daa Science for Engineers Assignment 4 Answers are provided. If you haven't completed the Week 3 Assignment, the link is provided below. The answers provided here are 100% Correct. Most of them are revised from previous assignments.
Also Read: NPTEL Data Science for Engineers Week 3 Answers
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NPTEL Data Science for Engineers Week 4 Assignment 2025
In Week 4, the following topics are discussed:
- Optimization for Data Science
- Unconstraint Multivariate Optimization
- Gradient ( Steepest ) Decent
Last Date: 21-02-2024
Q1. Let f (x) = x^3+3x^2-24+7. Select the Correct Options of the following.
A. x = 2 will give the maximum of f(x).B. x = 2 will give the minimum of f(x).
C. Maximum Value of f(x) is 87.
D. The Stationary Points of f(x) are 2 and 4.
Answer: [ B ] [ C ]
x = 2 will give the minimum of f(x).
The maximum value of f(x) is 87.
Q2. Find the Gradient of f(x) = x^2 * y at (x,y) = (1,3).
Answer: [ B ]
del (f) = 6,1
Q3. Find the Hessian Matrix of f(x) = x^2 * y at (x,y) = (1,3).
Answer: [ C ]
Q4. Let f(x,y) = -3*x^2 -6xy - y^2. The point (0,0) is a _______
A. Saddle Point
B. Maxima
C. Minima
Answer: [ Maxima ] B
Q5. For Which Numbers b is the matrix A is positive definite ?
A. -3 < b < 3
B. b=3
C. b=-3
D. -3<=b<=3
Answer: [ A ] -3 <b <3
Q6. Consider f(x) = x^3-12x-5.Which Of the following Statements are true.
Answer: [ B ] [ D ]
Q7. Consider the following Optimization problem:
Answer: [ D ]
Q8. In optimization problem, the function that we want to optimize is called
A. Decision function
B. Constraints function
C. Optimal function
D. Objective function
Answer: [ D ]
Q9. The Optimisation Problem minx f(x) also can be written as max x f(x) is
A. True
A. True
B. False
Answer: [ B ] False
Q10. Gradient descent algorithm converges to the local minimum
A. True
B. False
Answer: [ A ] True
Conclusion
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