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Duality of Graphical Models and Tensor Networks · Around

2017

Duality of Graphical Models and Tensor Networks

Robeva, Elina, Seigal, Anna

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In this article we show the duality between tensor networks and undirected graphical models with discrete variables.

We study tensor networks on hypergraphs, which we call tensor hypernetworks.
We show that the tensor hypernetwork on a hypergraph exactly corresponds to the graphical model given by the dual hypergraph.
We translate various notions under duality.

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K. Borsuk:
1948
Earlier work this paper cites.
N. Robertson, P.D. Seymour:
1984
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C. Berge:
1989
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S.L. Lauritzen:
1996
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A. Hatcher:
2002
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