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Risk-Based Generalizations of f -divergences

2020-02-27 | |  52 |   48 |   0

Abstract

We derive a generalized notion of f divergences, called (f, l)-divergences. We show that this generalization enjoys many of the nice properties of f -divergences, although it is a richer family. It also provides alternative definitions of standard divergences in terms of surrogate risks. As a first practical application of this theory, we derive a new estimator for the Kulback-Leibler divergence that we use for clustering sets of vectors.

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