About: F-divergence

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Function that measures dissimilarity between two probability distributions

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  • function that measures dissimilarity between two probability distributions (en)
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  • hidden (en)
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  • . (en)
  • If on , then , where and , where is the probability density function of with respect to some underlying measure. In the special case of , we have . (en)
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  • Theorem (en)
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  • If , then by definition. Conversely, if , then let . For any two probability measures on the set , since , we get Since each probability measure has one degree of freedom, we can solve for every choice of . Linear algebra yields , which is a valid probability measure. Then we obtain . Thus for some constants . Plugging the formula into yields . (en)
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  • F-divergence (en)
  • F-дивергенция (ru)
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