2000 character limit reached
Asymmetric Topologies on Statistical Manifolds (1507.08229v2)
Published 29 Jul 2015 in cs.IT, math.FA, math.GN, and math.IT
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.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
