Riemannian curvature of gaussian distribution in dual coordinate system
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909724422701056 |
|---|---|
| author | Assandje, Prosper Rosaire Mama Joseph, Dongho Bouetou, Thomas Bouetou |
| author_facet | Assandje, Prosper Rosaire Mama Joseph, Dongho Bouetou, Thomas Bouetou |
| contents | In this paper, we study the geometric nonlinearity properties, such as curvature and torsion, in a dual coordinate system of the Riemannian manifold defined by the Gaussian distribution. We also give the Amari formulas explicitly in this new coordinate system, which allows us to characterize existing geometric invariants, such as the dual potential function and the Fisher metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Riemannian curvature of gaussian distribution in dual coordinate system Assandje, Prosper Rosaire Mama Joseph, Dongho Bouetou, Thomas Bouetou Differential Geometry In this paper, we study the geometric nonlinearity properties, such as curvature and torsion, in a dual coordinate system of the Riemannian manifold defined by the Gaussian distribution. We also give the Amari formulas explicitly in this new coordinate system, which allows us to characterize existing geometric invariants, such as the dual potential function and the Fisher metric. |
| title | Riemannian curvature of gaussian distribution in dual coordinate system |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2507.08141 |