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• W3038124051 abstract "We study the critical points of monomial functions over an algebraic subset of the probability simplex. The number of critical points on the Zariski closure is a topological invariant of that embedded projective variety, known as its maximum likelihood degree. We present an introduction to this theory and its statistical motivations. Many favorite objects from combinatorial algebraic geometry are featured: toric varieties, A-discriminants, hyperplane arrangements, Grassmannians, and determinantal varieties. Several new results are included, especially on the likelihood correspondence and its bidegree. This article represents the lectures given by the second author at the CIME-CIRM course on Combinatorial Algebraic Geometry at Levico Terme in June 2013." @default.
• W3038124051 created "2020-07-02" @default.
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• W3038124051 date "2014-01-01" @default.
• W3038124051 modified "2023-10-13" @default.
• W3038124051 title "Likelihood Geometry" @default.
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• W3038124051 doi "https://doi.org/10.1007/978-3-319-04870-3_3" @default.
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