Author
Seigal, A
Montufar, G
Journal title
Journal of Algebraic Statistics
DOI
10.18409/jas.v9i1.90
Issue
1
Volume
9
Last updated
2022-12-17T15:20:22.11+00:00
Page
1-20
Abstract
<jats:p>We compare two statistical models of three binary random variables. One is a mixture model and the other is a product of mixtures model called a restricted Boltzmann machine. Although the two models we study look different from their parametrizations, we show that they represent the same set of distributions on the interior of the probability simplex, and are equal up to closure. We give a semi-algebraic description of the model in terms of six binomial inequalities and obtain closed form expressions for the maximum likelihood estimates. We briefly discuss extensions to larger models.</jats:p>
Symplectic ID
1032272
Favourite
Off
Publication type
Journal Article
Publication date
24 Sep 2018
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