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  • Rana Basheer

Alpha Divergence

Updated: Apr 2, 2021

On several occasions you want to classify an observation x into one of two categories









Depending on which ever probability is higher we classify x as either being in



However, there is a non-zero probability that x might belong to




Bayes Error


Larger the area under this region there is a greater chance for misclassification. The area under this error region is given by



Since minimum function is quite difficult to deal with it is replaced by a smooth power function as

Hence the upper bound for the area is given by





The


#bayes #chernoff #Classification #divergence

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