12 citations · 93 across the 37 of their papers we have counts for
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cs.IT2023★ 1 cited
Metrization of powers of the Jensen-Shannon divergence
Kazuki Okamura
Metrization of statistical divergences is valuable in both theoretical and practical aspects. One approach to obtaining metrics associated with divergences is to consider their fra…
cs.IT2022★ 4 cited
Information measures and geometry of the hyperbolic exponential families of Poincaré and hyperboloid distributions
Frank Nielsen, Kazuki Okamura
We study various information-theoretic measures and the information geometry of the Poincaré distributions and the related hyperboloid distributions, and prove that their statistic…
cs.IT2021★ 9 cited
On -divergences between Cauchy distributions
Frank Nielsen, Kazuki Okamura
We prove that the -divergences between univariate Cauchy distributions are all symmetric, and can be expressed as strictly increasing scalar functions of the symmetric chi-squar…