Likelihood Geometry of Determinantal Point Processes
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909074515296256 |
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| author | Friedman, Hannah Sturmfels, Bernd Zubkov, Maksym |
| author_facet | Friedman, Hannah Sturmfels, Bernd Zubkov, Maksym |
| contents | We study determinantal point processes (DPP) through the lens of algebraic statistics. We count the critical points of the log-likelihood function, and we compute them for small models, thereby disproving a conjecture of Brunel, Moitra, Rigollet and Urschel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13486 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Likelihood Geometry of Determinantal Point Processes Friedman, Hannah Sturmfels, Bernd Zubkov, Maksym Statistics Theory Algebraic Geometry Probability We study determinantal point processes (DPP) through the lens of algebraic statistics. We count the critical points of the log-likelihood function, and we compute them for small models, thereby disproving a conjecture of Brunel, Moitra, Rigollet and Urschel. |
| title | Likelihood Geometry of Determinantal Point Processes |
| topic | Statistics Theory Algebraic Geometry Probability |
| url | https://arxiv.org/abs/2307.13486 |