Arrangements and Likelihood

Thomas Kahle; Lukas Kühne; Leonie Mühlherr; Bernd Sturmfels; Maximilian Wiesmann

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arXiv · 2411.09508

Arrangements and Likelihood

Thomas Kahle·Lukas Kühne·Leonie Mühlherr·Bernd Sturmfels·Maximilian Wiesmann

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Abstract

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.

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BibTeX RIS

Thomas Kahle, Lukas Kühne, Leonie Mühlherr, Bernd Sturmfels, Maximilian Wiesmann. 2024-11-14. Arrangements and Likelihood. https://arxiv.org/abs/2411.09508

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