Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10482143 | Physica A: Statistical Mechanics and its Applications | 2012 | 12 Pages |
Abstract
⺠Information geometries on a manifold of a deformed exponential family are studied. ⺠They define respective quantities such as deformed free energies and entropies. ⺠Geometry of the q-exponential family is characterized via invariance and flatness. ⺠Conformal structure of the flat geometry of the q-exponential family is studied.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Shun-ichi Amari, Atsumi Ohara, Hiroshi Matsuzoe,