Consider a linear regression setting. Given a model's weights W E Rº, we incorporate regularisation into the loss function by adding an lą regularisation function of the formE-1|W,|*. Select all true statements from below. a. When q = 1, a solution to this problem tends to be sparse. I.e., most weights are driven to zero with only a few weights that are not close to zero. b. When q = 2, a solution to this problem tends to be sparse. I.e., most weights are driven to zero with only a few weights that are not close to zero. c. When q = 1, the problem can be solved analytically as in closed form. d. When q = 2, the problem can be solved analytically as in closed form.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter24: Forecasting Models
Section: Chapter Questions
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Consider a linear regression setting. Given a model's weights W E RD, we incorporate regularisation
into the loss function by adding an la regularisation function of the form-W;|*. Select all true
statements from below.
a. When q = 1, a solution to this problem tends to be sparse. I.e., most weights are driven to zero
with only a few weights that are not close to zero.
b. When q = 2, a solution to this problem tends to be sparse. I.e., most weights are driven to zero
with only a few weights that are not close to zero.
c. When q = 1, the problem can be solved analytically as in closed form.
d. When q = 2, the problem can be solved analytically as in closed form.
Transcribed Image Text:Consider a linear regression setting. Given a model's weights W E RD, we incorporate regularisation into the loss function by adding an la regularisation function of the form-W;|*. Select all true statements from below. a. When q = 1, a solution to this problem tends to be sparse. I.e., most weights are driven to zero with only a few weights that are not close to zero. b. When q = 2, a solution to this problem tends to be sparse. I.e., most weights are driven to zero with only a few weights that are not close to zero. c. When q = 1, the problem can be solved analytically as in closed form. d. When q = 2, the problem can be solved analytically as in closed form.
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