MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Another way to describe the lasso method is that it estimates the re-
gression coefficients by choosing them to be the values of the bj, j E
{0, 1, ... , p - 1} by minimizing
η
Στο
1
Wi
i=1
p1
bo - Σ0;wi
ji
j=1
p-1
subject to Σιβκ <s
k=1
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Transcribed Image Text:Another way to describe the lasso method is that it estimates the re- gression coefficients by choosing them to be the values of the bj, j E {0, 1, ... , p - 1} by minimizing η Στο 1 Wi i=1 p1 bo - Σ0;wi ji j=1 p-1 subject to Σιβκ <s k=1
for some number s. For parts (a) through (f), indicate which of the
following occurs and justify your answer.
i. remain constant.
ii. monotonically increase.
iii. monotonically decrease.
iv. initially increase, then decrease.
v. initially decrease, then increase.
(a) As s increases from 0, the training SSE will...
(b) As s increases from 0, the training R2 will...
(c) As s increases from 0, the test or validation SSE will....
(d) As s increases from 0, the test or validation R2 will...
(e) As s increases from 0, the squared bias will...
(f) As s increases from 0, the variance will...
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Transcribed Image Text:for some number s. For parts (a) through (f), indicate which of the following occurs and justify your answer. i. remain constant. ii. monotonically increase. iii. monotonically decrease. iv. initially increase, then decrease. v. initially decrease, then increase. (a) As s increases from 0, the training SSE will... (b) As s increases from 0, the training R2 will... (c) As s increases from 0, the test or validation SSE will.... (d) As s increases from 0, the test or validation R2 will... (e) As s increases from 0, the squared bias will... (f) As s increases from 0, the variance will...
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