Q2.11 Show that mutual information satisfies the following: I(X,Y) = H(X)-H(XY) H(Y)-H(Y|X) = H(X)+H(Y) H(X,Y).

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Q2.11 Show that mutual information satisfies the following:

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Machine Learning Fundamentals A Concise Introduction

ISBN: 9781108940023

1st Edition

Authors: Hui Jiang

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Q2.11 Show that mutual information satisfies the following: I(X,Y) = H(X)-H(XY) H(Y)-H(Y|X) = H(X)+H(Y) H(X,Y).
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Q2.11 Show that mutual information satisfies the following: I(X,Y) = H(X)-H(XY) H(Y)-H(Y|X) = H(X)+H(Y) H(X,Y).

Question:

I(X,Y) = H(X)-H(XY) H(Y)-H(Y|X) = H(X)+H(Y) H(X,Y).

Step by Step Answer:

Machine Learning Fundamentals A Concise Introduction

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