Abstract
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.
Cite
CITATION STYLE
APA
Belavkin, R. V. (2015). Asymmetric topologies on statistical manifolds. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 203–210). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_23
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