English

Fisher-Riemann geometry for nonparametric probability densities

Classical Analysis and ODEs 2024-02-20 v1 Information Theory Differential Geometry math.IT

Abstract

In this article we aim to obtain the Fisher Riemann geodesics for nonparametric families of probability densities as a weak limit of the parametric case with increasing number of parameters.

Cite

@article{arxiv.2402.11071,
  title  = {Fisher-Riemann geometry for nonparametric probability densities},
  author = {Hugo Aimar and Aníbal Chicco Ruiz and Ivana Gómez},
  journal= {arXiv preprint arXiv:2402.11071},
  year   = {2024}
}

Comments

26 pages, 11 figures

R2 v1 2026-06-28T14:51:27.011Z