Arrangements and Likelihood

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.

Institutions

Publication Details

Journal
Vietnam Journal of Mathematics
Published
2026-02-13
DOI
https://doi.org/10.1007/s10013-026-00790-1
Primary Topic
Tensor decomposition and applications
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

Arrangements and Likelihood

Vietnam Journal of Mathematics
Tensor decomposition and applications
article

Arrangements and Likelihood

article en

Abstract

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.

Vietnam Journal of Mathematics
University of Kassel (DE), Berkeley College (US), Bielefeld University (DE), Max Planck Institute for Mathematics in the Sciences (DE), Max Planck Institute for Mathematics (DE), Center for Systems Biology Dresden (DE), University of California, Berkeley (US), Otto-von-Guericke-Universität Magdeburg (DE)
Deutsche Forschungsgemeinschaft
Reduced inequalities
Openalex Percentile: Top 55%
Tensor decomposition and applications
DOIOpen Access PDFOpenAlex
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