Q1) Given the two class linear least-squares objective function E(w, wn) = (vi - w"a, – wo), (1) where y; is the class label, show by differentiating w.r.t. wo and setting the result to zero that the solution for the bias wo is (2) where 4, the overall mean vector, is defined as u= E i. Show all steps.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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QT) Given the two class linear least-squares objective function
E(w, wn) = E ( – w"x, – wo)",
(1)
%3D
i=1
where y is the class label, show by differentiating w.r.t. wo and setting the result to zero that the
solution for the bias wn is
(2)
where 4, the overall mean vector, is defined as a = , i. Show all steps.
Transcribed Image Text:QT) Given the two class linear least-squares objective function E(w, wn) = E ( – w"x, – wo)", (1) %3D i=1 where y is the class label, show by differentiating w.r.t. wo and setting the result to zero that the solution for the bias wn is (2) where 4, the overall mean vector, is defined as a = , i. Show all steps.
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