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arXiv · 2301.09068

Moment Varieties for Mixtures of Products

Yulia Alexandr·Joe Kileel·Bernd Sturmfels
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Abstract

The setting of this article is nonparametric algebraic statistics. We study moment varieties of conditionally independent mixture distributions on $\mathbb{R}^n$. These are the secant varieties of toric varieties that express independence in terms of univariate moments. Our results revolve around the dimensions and defining polynomials of these varieties.

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BibTeXRIS

Yulia Alexandr, Joe Kileel, Bernd Sturmfels. 2023-01-22. Moment Varieties for Mixtures of Products. https://doi.org/10.1145/3597066.3597084

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