Tensors in algebraic statistics Authors Luis Sierra Marta Casanellas Piotr Zwiernik DOI: 10.2436/20.2002.01.117 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. Downloads PDF (Català) 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 More Citation Formats ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Download Citation Endnote/Zotero/Mendeley (RIS) BibTeX Issue Vol. 39 Núm. 1-2 (2024) Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Butlletí de la Societat Catalana de Matemàtiques, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Butlletí de la Societat Catalana de Matemàtiques.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Butlletí de la Societat Catalana de Matemàtiques is not responsible for the ideas and opinions expressed by the authors of the published articles.