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arXiv · 1806.05049

MAP inference via Block-Coordinate Frank-Wolfe Algorithm

Paul Swoboda·Vladimir Kolmogorov
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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.

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Paul Swoboda, Vladimir Kolmogorov. 2018-06-13. MAP inference via Block-Coordinate Frank-Wolfe Algorithm. https://arxiv.org/abs/1806.05049

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