Algebraic Statistics in Practice: Applications to Networks

Marta Casanellas, Sonja Petrović, Caroline Uhler
2017 Annual Review of Statistics and Its Application  
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
more » ... chievements made possible by these tools and their practical relevance for applications to other scientific disciplines. Expected final online publication date for the Annual Review of Statistics and Its Application, Volume 7 is March 7, 2020. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.
doi:10.1146/annurev-statistics-031017-100053 fatcat:cmd2g7mbhzgbxpp4erqzf5klfu