1st Edition

Semialgebraic Statistics and Latent Tree Models

By Piotr Zwiernik Copyright 2016
245 Pages
by Chapman & Hall

246 Pages
by Chapman & Hall

245 Pages
by Chapman & Hall

Semialgebraic Statistics and Latent Tree Models explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree models. The first part of the book gives a general introduction to key concepts in algebraic statistics, focusing on methods that are helpful in the study of models with... Read more

Introduction. Semialgebraic statistics: Algebraic and analytic geometry. Algebraic statistical models. Tensors, moments, and combinatorics. Latent tree graphical models: Phylogenetic trees and their models. The local geometry. The global geometry. Gaussian latent tree models.

Biography

Piotr Zwiernik is a Marie Skłodowska-Curie International Fellow in the Department of Mathematics at the University of Genoa. His research interests include statistical inference, graphical models with hidden variables, algebraic statistics, singular learning theory, time series analysis, and symbolic methods. He received a PhD in statistics from the University of Warwick.