Asymmetric topologies on statistical manifolds
Conference paper
Belavkin, R. 2015. Asymmetric topologies on statistical manifolds. 2nd International Conference on Geometric Science of Information. Palaiseau, France 28 - 30 Oct 2015 Springer. https://doi.org/10.1007/978-3-319-25040-3_23
| Type | Conference paper |
|---|---|
| Title | Asymmetric topologies on statistical manifolds |
| Authors | Belavkin, R. |
| 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. |
| Research Group | Artificial Intelligence group |
| Conference | 2nd International Conference on Geometric Science of Information |
| Proceedings Title | Geometric Science of Information Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings |
| ISSN | 0302-9743 |
| Electronic | 1611-3349 |
| ISBN | |
| Hardcover | 9783319250397 |
| Electronic | 9783319250403 |
| Publisher | Springer |
| Publication dates | |
| 2015 | |
| Online | 03 Apr 2016 |
| Publication process dates | |
| Deposited | 22 Apr 2016 |
| Accepted | 01 Jul 2015 |
| Output status | Published |
| 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 |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/978-3-319-25040-3_23 |
| Scopus EID | 2-s2.0-84950324622 |
| Web of Science identifier | WOS:000374288700023 |
| Web address (URL) of conference proceedings | https://doi.org/10.1007/978-3-319-25040-3 |
| Language | English |
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