Geodesic
Hierarchical models, marginal polytopes, and linear codes
Kybernetika, Tome 45 (2009) no. 2, pp. 189-207.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 52B11, 60C05, 94B05
Keywords: 0/1 polytopes; linear codes; hierarchical models; exponential families 
@article{KYB_2009__45_2_a1,
     author = {Kahle, Thomas and Wenzel, Walter and Ay, Nihat},
     title = {Hierarchical models, marginal polytopes, and linear codes},
     journal = {Kybernetika},
     pages = {189--207},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2009},
     mrnumber = {2518148},
     zbl = {1167.94340},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_2_a1/}
}
TY  - JOUR
AU  - Kahle, Thomas
AU  - Wenzel, Walter
AU  - Ay, Nihat
TI  - Hierarchical models, marginal polytopes, and linear codes
JO  - Kybernetika
PY  - 2009
SP  - 189
EP  - 207
VL  - 45
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2009__45_2_a1/
LA  - en
ID  - KYB_2009__45_2_a1
ER  - 
%0 Journal Article
%A Kahle, Thomas
%A Wenzel, Walter
%A Ay, Nihat
%T Hierarchical models, marginal polytopes, and linear codes
%J Kybernetika
%D 2009
%P 189-207
%V 45
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2009__45_2_a1/
%G en
%F KYB_2009__45_2_a1
Kahle, Thomas; Wenzel, Walter; Ay, Nihat. Hierarchical models, marginal polytopes, and linear codes. Kybernetika, Tome 45 (2009) no. 2, pp. 189-207. http://geodesic.mathdoc.fr/item/KYB_2009__45_2_a1/