7. Consider the Naive Bayesian classification problem discussed in class. Recall that X, represented a Bernoulli random

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7. Consider the Naive Bayesian classification problem discussed in class. Recall that X, represented a Bernoulli random

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7 Consider The Naive Bayesian Classification Problem Discussed In Class Recall That X Represented A Bernoulli Random 1
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7. Consider the Naive Bayesian classification problem discussed in class. Recall that X, represented a Bernoulli random variable associated with feature-j. Let Y represent the class random variable. Show that с I(X;;Y)= TRO;lk log2 1-01 jik + X(1 - 0j|k) log2 1-0; 0; = £, & k=1 where @jk and Tk are given by (defined in the class): = 0; Pr(x; = 1 Y =) Tk 4 Pr (Y = k) In addition, 0; – ES=1 Tk0jlk-
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