Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Can someone help me with these questions? Linear Regression (i) Derive closed form for linear regressiob: = (NRT) - = [*1, ... , XN ,

image text in transcribed

Can someone help me with these questions?

image text in transcribed

Linear Regression (i) Derive closed form for linear regressiob: = (NRT) - = [*1, ... , XN , in = [xn T, 1] T, and y where a potential problem is that XX T may not be invertible. 2 Consider a different minimization problem to find W. Again, let E (W) = En(W yn) Instead of minimizing E(W), we will minimize E@) + 1 > < II = + 1 X j' TW, where 1 > 0. Show that the result which minimizes E(W) + 1 X is = + *y, where I is a (D + l) by - (D + l) identity matrix and D is the dimensionality of xn. The derivation should be no more than 8 lines. In machine learning, this is called rigid regression. Note that, now XX T + 11 is invertible.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Abstract Analytic Number Theory

Authors: John Knopfmacher

1st Edition

0486169340, 9780486169347

More Books

Students also viewed these Mathematics questions

Question

4. What means will you use to achieve these values?

Answered: 1 week ago

Question

3. What values would you say are your core values?

Answered: 1 week ago