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arXiv · 1211.3196

Maximum Likelihood Duality for Determinantal Varieties

Jan Draisma·Jose Rodriguez
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Abstract

In a recent paper, Hauenstein, Sturmfels, and the second author discovered a conjectural bijection between critical points of the likelihood function on the complex variety of matrices of rank r and critical points on the complex variety of matrices of co-rank r-1. In this paper, we prove that conjecture for rectangular matrices and for symmetric matrices, as well as a variant for skew-symmetric matrices. To appear in International Mathematics Research Notices.

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Jan Draisma, Jose Rodriguez. 2012-11-14. Maximum Likelihood Duality for Determinantal Varieties. https://arxiv.org/abs/1211.3196

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