Taxonomy of Dual Block-Coordinate Ascent Methods for Discrete Energy Minimization
This work addresses inference efficiency in graphical models for researchers and practitioners, but it is incremental as it builds on existing methods within a known framework.
The authors tackled the problem of maximum-a-posteriori inference in discrete graphical models by analyzing dual block-coordinate ascent methods, mapping existing solvers into a unified framework and theoretically improving sub-optimal updates, resulting in a new state-of-the-art solver that performs uniformly better across a wide range of test instances.
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 existing solvers 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.