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This Work, Asymmetric Topologies on Statistical Manifolds, by Roman Belavkin is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Asymmetric Topologies on Statistical Manifolds


Asymmetric Topologies on Statistical Manifolds
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Asymmetric information distances are used to define asymmetric norms and quasimetrics on the statistical manifold and its dual space of random variables. Quasimetric topology, generated by the Kullback-Leibler (KL) divergence, is considered as the main example, and some of its topological properties are investigated.
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Asymmetric Topologies on Statistical Manifolds
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