https://doi.org/10.1140/epjb/s10051-024-00747-8
Regular Article - Statistical and Nonlinear Physics
A Hamiltonian approach to the gradient-flow equations in information geometry
1
Region of Electrical and Electronic Systems Engineering, Ibaraki University, Nakanarusawa-cho, 316-8511, Hitachi, Japan
2
Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche (ISC-CNR), c/o Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy
a
tatsuaki.wada.to@vc.ibaraki.ac.jp
Received:
1
May
2024
Accepted:
8
July
2024
Published online:
22
July
2024
We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in information geometry.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
