Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866916017338318848 |
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| author | Mengütürk, Levent Ali |
| author_facet | Mengütürk, Levent Ali |
| contents | The paper presents a geometric duality between the spherical squared-Hellinger distance and a hyperbolic isometric invariant of the Poincare disc under the action of the general Mobius group. Motivated by the geometric connection, we propose the usage of the L2-embedded hyperbolic isometric invariant as an alternative way to quantify divergence between Gaussian measures as a contribution to information theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17159 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc Mengütürk, Levent Ali Information Theory Probability The paper presents a geometric duality between the spherical squared-Hellinger distance and a hyperbolic isometric invariant of the Poincare disc under the action of the general Mobius group. Motivated by the geometric connection, we propose the usage of the L2-embedded hyperbolic isometric invariant as an alternative way to quantify divergence between Gaussian measures as a contribution to information theory. |
| title | Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc |
| topic | Information Theory Probability |
| url | https://arxiv.org/abs/2602.17159 |