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This article is available for purchase or by subscription. See below.
Abstract
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We introduce the
-adjoined
Gauss map. We use it to express the Gaussian maximum likelihood degree as a
product of two invariants. As an application of our product formula, we classify all
projective curves of Gaussian maximum likelihood degree 1. We also provide a
formula for the
generic Gaussian maximum likelihood degree of a projective variety
in
terms of its polar classes. The renowned polar class formula for generic Euclidean
distance degree is a special case of our formula.
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Keywords
algebraic statistics, rational MLE, maximum likelihood
degree
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Mathematical Subject Classification
Primary: 14E05, 35C11, 35F20, 62R01
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Milestones
Received: 5 December 2023
Accepted: 23 July 2024
Published: 10 December 2024
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