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On maximization of the information divergence from an exponential family Export

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exponential

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The information divergence of a probability measure P from an exponential family E over a nite set is dened as inmum of the divergences of P from Q subject to Q in E . For convex exponential families the local maximizers of this function of P are found. General exponential family E of dimension d is enlarged to an exponential family E of the dimension at most 3d + 2 such that the local maximizers are of zero divergence from E .


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