Inference in higher-order undirected graphical models and binary polynomial optimization

Aida Khajavirad; Yakun Wang

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arXiv · 2405.09727

Inference in higher-order undirected graphical models and binary polynomial optimization

Aida Khajavirad·Yakun Wang

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Abstract

We consider the problem of inference in higher-order undirected graphical models with binary labels. We formulate this problem as a binary polynomial optimization problem and propose several linear programming relaxations for it. We compare the strength of the proposed linear programming relaxations theoretically. Finally, we demonstrate the effectiveness of these relaxations by performing a computational study for two important applications, namely, image restoration and decoding error-correcting codes.

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Aida Khajavirad, Yakun Wang. 2024-05-15. Inference in higher-order undirected graphical models and binary polynomial optimization. https://arxiv.org/abs/2405.09727

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