Asymmetric Topologies on Statistical Manifolds - Roman Belavkin
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last edited by Geo-Sci-InfoAuthor : Roman Belavkin
DOI URL : http://dx.doi.org/10.1007/978-3-319-25040-3_23
Video : http://www.youtube.com/watch?v=1vURZX7plVk
Slides: Belavkin_Asymetric topologies on statistical manifolds.pdf
Presentation : https://www.see.asso.fr/node/14261
Creative Commons Attribution-ShareAlike 4.0 InternationalAbstract:
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.
