Work

Arrangements and Likelihood

Year: 2026

Type: article

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.

Source: Vietnam Journal of Mathematics

DOI: 10.1007/s10013-026-00790-1

Authors: Thomas Kahle, Lukas Kühne, Leonie Mühlherr, Bernd Sturmfels, Maximilian Wiesmann

Institutions: Otto-von-Guericke-Universität Magdeburg, Bielefeld University, University of Kassel, Max Planck Institute for Mathematics in the Sciences, University of California, Berkeley, Center for Systems Biology Dresden

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Institute for Advanced Study, Deutsche Forschungsgemeinschaft

Awards: Simplizialität in Arrangements und Matroiden, GRK 2297: Mathematische Komplexitätsreduktion, G5893294622, G6601682123, TRR 358: Ganzzahlige Strukturen in Geometrie und Darstellungstheorie, G796230803

OpenAlex ID: W7128785034

FWCI:

Cites: 20

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