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Tensors in algebraic statistics

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arxiv 2411.14080 v1 pith:GC343GUS submitted 2024-11-21 math.ST math.AGmath.HOstat.TH

Marta Casanellas , Luis Sierra , Piotr Zwiernik This is my paper
classification math.STmath.AGmath.HOstat.TH
keywords statisticsalgebraicdatatensortensorstheoryadditionallyalgebra
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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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