Weyl symmetry of the gradient-flow in information geometry
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915420821258240 |
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| author | Wada, Tatsuaki Noda, Sousuke |
| author_facet | Wada, Tatsuaki Noda, Sousuke |
| contents | We have revisited the gradient-flow in information geometry from the perspective of Weyl symmetry. The gradient-flow equations are derived from the proposed action which is invariant under the Weyl's gauge transformations. In Weyl integrable geometry, we have related Amari's $α$-connections in IG to the Weyl invariant connection on the Riemannian manifold equipped with the scaled metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03866 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weyl symmetry of the gradient-flow in information geometry Wada, Tatsuaki Noda, Sousuke General Relativity and Quantum Cosmology Information Theory Mathematical Physics We have revisited the gradient-flow in information geometry from the perspective of Weyl symmetry. The gradient-flow equations are derived from the proposed action which is invariant under the Weyl's gauge transformations. In Weyl integrable geometry, we have related Amari's $α$-connections in IG to the Weyl invariant connection on the Riemannian manifold equipped with the scaled metric. |
| title | Weyl symmetry of the gradient-flow in information geometry |
| topic | General Relativity and Quantum Cosmology Information Theory Mathematical Physics |
| url | https://arxiv.org/abs/2502.03866 |