Show that -E{t, log(sigma(w*x)) + (1 – t;) log(1 – sigma(w"x;))} = E, log(1+ e-yw* x %3D Where sigma(w"x) = ws 1+e-w And ti yı+1 %3D 2 (0 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Show that
-EX{t, log(sigma(w" x;)) + (1 – t;) log(1 – sigma(w" x;))} = EX, log(1+ e-yw*>
Where sigma(w" x) =
1
1+e-wiz
And t =
Yi+1
Here t; e {0,1} and yi == {-1,1}
Transcribed Image Text:Show that -EX{t, log(sigma(w" x;)) + (1 – t;) log(1 – sigma(w" x;))} = EX, log(1+ e-yw*> Where sigma(w" x) = 1 1+e-wiz And t = Yi+1 Here t; e {0,1} and yi == {-1,1}
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