Markov random fields and iterated toric fibre products

J. Draisma, F.M. Oosterhof

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Uittreksel

We prove that iterated toric fibre products from a finite collection of toric varieties are defined by binomials of uniformly bounded degree. This implies that Markov random fields built up from a finite collection of finite graphs have uniformly bounded Markov degree.

TaalEngels
Pagina's64-79
Aantal pagina's16
TijdschriftAdvances in Applied Mathematics
Volume97
DOI's
StatusGepubliceerd - 1 jun 2018

Vingerafdruk

Random Field
Fiber
Toric Varieties
Fibers
Finite Graph
Imply

Citeer dit

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abstract = "We prove that iterated toric fibre products from a finite collection of toric varieties are defined by binomials of uniformly bounded degree. This implies that Markov random fields built up from a finite collection of finite graphs have uniformly bounded Markov degree.",
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Markov random fields and iterated toric fibre products. / Draisma, J.; Oosterhof, F.M.

In: Advances in Applied Mathematics, Vol. 97, 01.06.2018, blz. 64-79.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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