A Hamiltonian approach to the gradient-flow equations in information geometry
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909714581815296 |
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| author | Wada, Tatsuaki Scarfone, Antonio M. |
| author_facet | Wada, Tatsuaki Scarfone, Antonio M. |
| contents | We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in information geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Hamiltonian approach to the gradient-flow equations in information geometry Wada, Tatsuaki Scarfone, Antonio M. Mathematical Physics We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in information geometry. |
| title | A Hamiltonian approach to the gradient-flow equations in information geometry |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2406.11224 |