Arrangements and Likelihood
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912486721060864 |
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| author | Kahle, Thomas Kühne, Lukas Mühlherr, Leonie Sturmfels, Bernd Wiesmann, Maximilian |
| author_facet | Kahle, Thomas Kühne, Lukas Mühlherr, Leonie Sturmfels, Bernd Wiesmann, Maximilian |
| contents | We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This object is well-studied in the linear case, when the hypersurfaces are hyperplanes. We here focus on nonlinear scenarios and their applications in statistics and physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09508 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arrangements and Likelihood Kahle, Thomas Kühne, Lukas Mühlherr, Leonie Sturmfels, Bernd Wiesmann, Maximilian Commutative Algebra Combinatorics Statistics Theory 13N05, 13P25, 14J81, 14N20, 62R01 We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This object is well-studied in the linear case, when the hypersurfaces are hyperplanes. We here focus on nonlinear scenarios and their applications in statistics and physics. |
| title | Arrangements and Likelihood |
| topic | Commutative Algebra Combinatorics Statistics Theory 13N05, 13P25, 14J81, 14N20, 62R01 |
| url | https://arxiv.org/abs/2411.09508 |