Taxonomy of Dual Block-Coordinate Ascent Methods for Discrete Energy Minimization

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Siddharth Tourani, Alexander Shekhovtsov, Carsten Rother, Bogdan Savchynskyy ;
Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, PMLR 108:2775-2785, 2020.

Abstract

We consider the maximum-a-posteriori inference problem in discrete graphical models and study solvers based on the dual block-coordinate ascent rule. We map all existing solvers in a single framework, allowing for a better understanding of their design principles. We theoretically show that some block-optimizing updates are sub-optimal and how to strictly improve them. On a wide range of problem instances of varying graph connectivity, we study the performance of existingsolvers as well as new variants that can be obtained within the framework. As a result of this exploration we build a new state-of-the art solver, performing uniformly better on the whole range of test instances.

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