Completions to Discrete Probability Distributions in Log-linear Models

Autor:	Cai, May, Recke, Cecilie Olesen, Yahl, Thomas
Rok vydání:	2023
Předmět:	Mathematics - Statistics Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	Completion problems, of recovering a point from a set of observed coordinates, are abundant in applications to image reconstruction, phylogenetics, and data science. We consider a completion problem coming from algebraic statistics: to describe the completions of a point to a probability distribution lying in a given log-linear model. When there are finitely many completions, we show that these points either have a unique completion or two completions to the log-linear model depending on the set of observed coordinates. We additionally describe the region of points which have a completion to the log-linear model. Comment: This work was conducted as a part of the Algebraic Statistics and Our Changing World Program hosted by the Institute for Mathematical and Statistical Innovation (IMSI). 21 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.15154 Zobrazit plný text záznamu View this record from Arxiv