Hierarchical models, marginal polytopes and linear codes

Title:

Hierarchical models, marginal polytopes and linear codes

Creator:

Kahle, Thomas, Wenzel, Walter, and Ay, Nihat

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5558d769-1a42-41a7-b214-cc864ceed93e
uuid:5558d769-1a42-41a7-b214-cc864ceed93e

Subject:

0/1 polytopes, linear codes, hierarchical models, and exponential families

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we explore a connection between binary hierarchical models, their marginal polytopes, and codeword polytopes, the convex hulls of linear codes. The class of linear codes that are realizable by hierarchical models is determined. We classify all full dimensional polytopes with the property that their vertices form a linear code and give an algorithm that determines them.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[189]-207

Source:

Kybernetika | 2009 Volume:45 | Number:2

Harvested from:

CDK

Metadata only:

false