Algebraic Statistics in Practice: Applications to Networks
Statistics Theory
2019-06-25 v1 Commutative Algebra
Statistics Theory
Abstract
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 survey we illustrate this on three problems related to networks, namely 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.
Cite
@article{arxiv.1906.09537,
title = {Algebraic Statistics in Practice: Applications to Networks},
author = {Marta Casanellas and Sonja Petrović and Caroline Uhler},
journal= {arXiv preprint arXiv:1906.09537},
year = {2019}
}