Asymmetric topologies on statistical manifolds

Belavkin, Roman V. ORCID logoORCID: (2015) Asymmetric topologies on statistical manifolds. Geometric Science of Information: Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings. In: GSI 2015: 2nd International Conference on Geometric Science of Information, 28-30 Oct 2015, Palaiseau, France. ISBN 9783319250397. ISSN 0302-9743 [Conference or Workshop Item] (doi:10.1007/978-3-319-25040-3_23)


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.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Published as a chapter in: Geometric Science of Information, Volume 9389, 2015, of the series Lecture Notes in Computer Science, pp 203-210
Research Areas: A. > School of Science and Technology > Computer Science > Artificial Intelligence group
A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 19472
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Depositing User: Roman Belavkin
Date Deposited: 22 Apr 2016 09:33
Last Modified: 13 Oct 2016 14:39

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