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Risk-based generalizations of f-divergences

Garcia-Garcia, Dario; von Luxburg, Ulrike; Santos-Rodriguez, Raul


We derive a generalized notion of f-divergences, called (f,l)-divergences. We show that this generalization enjoys many of the nice properties of/-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.

CollectionsANU Research Publications
Date published: 2011
Type: Conference paper
Source: Max-margin Learning for Lower Linear Envelope Potentials in Binary Markov Random Fields


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