Bregman Monotone Operator Splitting

Kenta Niwa; W. Bastiaan Kleijn

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arXiv · 1807.04871

Bregman Monotone Operator Splitting

Kenta Niwa·W. Bastiaan Kleijn

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Abstract

Monotone operator splitting is a powerful paradigm that facilitates parallel processing for optimization problems where the cost function can be split into two convex functions. We propose a generalized form of monotone operator splitting based on Bregman divergence. We show that an appropriate design of the Bregman divergence leads to faster convergence than conventional splitting algorithms. The proposed Bregman monotone operator splitting (B-MOS) is applied to an application to illustrate its effectiveness. B-MOS was found to significantly improve the convergence rate.

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Kenta Niwa, W. Bastiaan Kleijn. 2018-07-13. Bregman Monotone Operator Splitting. https://arxiv.org/abs/1807.04871

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