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On power chi expansions of $f$-divergences

Information Theory 2019-03-15 v1 Machine Learning math.IT

Abstract

We consider both finite and infinite power chi expansions of ff-divergences derived from Taylor's expansions of smooth generators, and elaborate on cases where these expansions yield closed-form formula, bounded approximations, or analytic divergence series expressions of ff-divergences.

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Cite

@article{arxiv.1903.05818,
  title  = {On power chi expansions of $f$-divergences},
  author = {Frank Nielsen and Gaëtan Hadjeres},
  journal= {arXiv preprint arXiv:1903.05818},
  year   = {2019}
}

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21 pages