Tensors in algebraic statistics

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Keywords:

tensors, algebraic statistics, graphical models, tensor decomposition.

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 particular emphasis on its applications in algebraic statistics. This high-level overview is accompanied by numerous examples to illustrate key concepts. Additionally, an extensive literature review is included to guide readers towards more detailed studies on the subject.

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How to Cite

Sierra, L., Casanellas, M., & Zwiernik, P. (2025). Tensors in algebraic statistics. Butlletí De La Societat Catalana De Matemàtiques, 131–169. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/155883

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