Uniqueness of the Fisher–Rao metric on the space of smooth densities-Reference-Cited by-同舟云学术

Uniqueness of the Fisher–Rao metric on the space of smooth densities

Published:2016-04-27 Issue:3 Volume:48 Page:499-506
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bull. London Math. Soc.

Author:

Bauer Martin,Bruveris Martins,Michor Peter W.

Publisher

Wiley

Subject

General Mathematics

Reference11 articles.

1. Amari S.-I. , Differential–geometrical methods in statistics, Lecture Notes in Statistics 28 (Springer, New York, 1985).

2. Information geometry and sufficient statistics

3. Sobolev metrics on the manifold of all Riemannian metrics;Bauer;J. Differential Geom.,2013

4. Čencov N. N. , Statistical decision rules and optimal inference, Translations of Mathematical Monographs 53 (American Mathematical Society, Providence, RI, 1982), Translation from the Russian edited by Lev J. Leifman.

5. Die Fisher-Information und symplektische Strukturen

Cited by 50 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections;Calculus of Variations and Partial Differential Equations;2024-02-10

2. Monotone metric tensors in quantum information geometry;International Journal of Geometric Methods in Modern Physics;2023-11-24

3. Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction;Symmetry, Integrability and Geometry: Methods and Applications;2023-10-20

4. Numerical and geometrical aspects of flow-based variational quantum Monte Carlo;Machine Learning: Science and Technology;2023-05-09

5. A Simple Approximation Method for the Fisher–Rao Distance between Multivariate Normal Distributions;Entropy;2023-04-13