Abstract
References
- [1] S. Amari, Information geometry of the EM and em algorithms for neural networks, Neural Networks 8 (9), 1379–1408, 1995
Abstract
We introduce f-statistical connections as a family of statistical connections and study some
geometric objects associated to these connections such as divergence, curvature and Ricci tensors, Hessian
and Laplacian operators. We construct examples of f-statistical connections and study the introducing
concepts on them. Finally we introduce Miao-Tam statistical manifolds and study properties of them.
Keywords
f-statistical connction Hessian operator Laplacian operator Miao-Tam equation statistical manifold.
Ethical Statement
This paper is original. I would like to publish this paper in your journal.
References
- [1] S. Amari, Information geometry of the EM and em algorithms for neural networks, Neural Networks 8 (9), 1379–1408, 1995
Details
| Primary Language | English |
|---|---|
| Subjects | Algebraic and Differential Geometry |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | August 27, 2024 |
| Publication Date | |
| Submission Date | January 17, 2024 |
| Acceptance Date | May 28, 2024 |
| Published in Issue | Year 2024 Early Access |