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Likelihood geometry
of determinantal point processes
Hannah Friedman, Bernd Sturmfels and Maksym Zubkov |
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Vol. 15 (2024), No. 1, 15–25
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Abstract |
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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. |
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Keywords
maximum likelihood estimation, hyperdeterminant, principal
minors, numerical algebraic geometry
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Mathematical Subject Classification
Primary: 14Q65, 15B52, 62R01
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Milestones
Received: 26 July 2023
Revised: 12 October 2023
Accepted: 14 October 2023
Published: 11 January 2024
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Authors |
| Hannah Friedman | |
| University of California
Berkeley Berkeley, CA United States |
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| Bernd Sturmfels | |
| Max Planck Institute for Mathematics
in the Sciences Leipzig Germany |
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| Maksym Zubkov | |
| University of California
Berkeley Berkeley, CA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
