Algebraic statistics in practice: applications to networks
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Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical statistics. In this review, we illustrate this on three problems related to networks: network models for relational data, causal structure discovery, and phylogenetics. For each problem, we give an overview of recent results in algebraic statistics, with emphasis on the statistical achievements made possible by these tools and their practical relevance for applications to other scientific disciplines.
CitationCasanellas, M.; Petrovic, S.; Uhler, C. Algebraic statistics in practice: applications to networks. "Annual Review of Statistics and Its Application", 1 Gener 2020, vol. 7, p. 227-250.