Tensors in algebraic statistics

2024/11/21 by Casanellas, Marta, Sierra, Luis, Zwiernik, Piotr
#15A69 #62R01 #Algebraic Geometry (math.AG) #FOS: Mathematics #History and Overview (math.HO) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.2411.14080

Abstract

Tensors are ubiquitous in statistics and data analysis. The central object that links data science to tensor theory and algebra is that of a model with latent variables. We provide an overview of tensor theory, with a particular emphasis on its applications in algebraic statistics. This high-level treatment is supported by numerous examples to illustrate key concepts. Additionally, an extensive literature review is included to guide readers toward more detailed studies on the subject.

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