arXiv (OAI Expanded)
open access
Equivalence on exponential families as Hessian manifolds and classification of exponential families of order 1 with constant Hessian sectional curvature
We introduce an equivalence relation on exponential families, and prove that two exponential families are equivalent in this sense if and only if the corresponding induced Hessian manifolds are isomorphic. Moreover, we classify exponential families of order 1 with constant Hessian sectional curvatur
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- The Heat Kernel of the Hodge Laplacian on an Invariant Subspace of 1-forms on the Hyperbolic Space $\mathbb{H}^{n}$#1155588
- Determination of all diffeomorphism invariant tensor fields on the space of smooth positive densities on a compact manifold with corners#1128864
- Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces $F^{\infty,q}_α$#1012390
- Information Geometry for Wasserstein KL Divergence of Gaussian Measures on $\mathbb{R}^n$#984841
- Gradient Gibbs measures with non-convex potentials and the universality class of the Gaussian Free Field#609683
Record · ID 1084507
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive