Asymmetric topologies on statistical manifolds
Belavkin, Roman V. 
ORCID: https://orcid.org/0000-0002-2356-1447
(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)
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.
| 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 |
| Useful Links: | |
| Depositing User: | Roman Belavkin |
| Date Deposited: | 22 Apr 2016 09:33 |
| Last Modified: | 13 Oct 2016 14:39 |
| URI: | https://eprints.mdx.ac.uk/id/eprint/19472 |
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