English

MAP inference via Block-Coordinate Frank-Wolfe Algorithm

Machine Learning 2019-04-08 v2 Artificial Intelligence Machine Learning

Abstract

We present a new proximal bundle method for Maximum-A-Posteriori (MAP) inference in structured energy minimization problems. The method optimizes a Lagrangean relaxation of the original energy minimization problem using a multi plane block-coordinate Frank-Wolfe method that takes advantage of the specific structure of the Lagrangean decomposition. We show empirically that our method outperforms state-of-the-art Lagrangean decomposition based algorithms on some challenging Markov Random Field, multi-label discrete tomography and graph matching problems.

Keywords

Cite

@article{arxiv.1806.05049,
  title  = {MAP inference via Block-Coordinate Frank-Wolfe Algorithm},
  author = {Paul Swoboda and Vladimir Kolmogorov},
  journal= {arXiv preprint arXiv:1806.05049},
  year   = {2019}
}
R2 v1 2026-06-23T02:28:43.197Z