# A New Family of Tractable Ising Models

@article{Likhosherstov2019ANF, title={A New Family of Tractable Ising Models}, author={Valerii Likhosherstov and Yury Maximov and Michael Chertkov}, journal={ArXiv}, year={2019}, volume={abs/1906.06431} }

We present a new family of zero-field Ising models over N binary variables/spins obtained by consecutive "gluing" of planar and $O(1)$-sized components along with subsets of at most three vertices into a tree. The polynomial time algorithm of the dynamic programming type for solving exact inference (partition function computation) and sampling consists of a sequential application of an efficient (for planar) or brute-force (for $O(1)$-sized) inference and sampling to the components as a black…

## One Citation

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