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Suppose you are given the below data, and you want to apply a logistic regression model for classifying it into two given classes.<image 1>You are using logistic regression with L1 regularization.<image 2>Where C is the regularization parameter, and w1 & w2 are the coefficients of x1 and x2.Which of the following option is correct when you increase the value of C from zero to a very large value? (A) First, w2 becomes zero, and then w1 becomes zero (B) First, w1 becomes zero, and then w2 becomes zero (C) Both become zero at the same time (D) Both cannot be zero even after a very large value of C Answer with the option's letter from the given choices directly. No punctuation.	Google: Gemini Pro Vision 1.0 mmmu / Computer_SciencePublic D Difficulty: Medium Subfield: Artificial Intelligence Explanation: By looking at the image, we see that even by just using x2, we can efficiently perform classification. So at first, w1 will become 0. As the regularization parameter increases more, w2 will come closer and closer to 0.

Input

Output

Suppose you are given the below data, and you want to apply a logistic regression model for classifying it into two given classes.<image 1>You are using logistic regression with L1 regularization.<image 2>Where C is the regularization parameter, and w1 & w2 are the coefficients of x1 and x2.Which of the following option is correct when you increase the value of C from zero to a very large value?

(A) First, w2 becomes zero, and then w1 becomes zero

(B) First, w1 becomes zero, and then w2 becomes zero

(D) Both cannot be zero even after a very large value of C

Answer with the option's letter from the given choices directly. No punctuation.

Google: Gemini Pro Vision 1.0

mmmu / Computer_SciencePublic

Difficulty: Medium

Subfield: Artificial Intelligence

Explanation: By looking at the image, we see that even by just using x2, we can efficiently perform classification. So at first, w1 will become 0. As the regularization parameter increases more, w2 will come closer and closer to 0.

Input

Input ID: ff27ac9e-92b8-442a-81a6-b869d226dc4a
Created: February 13, 2024
Permission: Public