# The Mixing method: coordinate descent for low-rank semidefinite programming

@article{Wang2017TheMM, title={The Mixing method: coordinate descent for low-rank semidefinite programming}, author={Po-Wei Wang and Wei-Cheng Chang and J. Zico Kolter}, journal={ArXiv}, year={2017}, volume={abs/1706.00476} }

In this paper, we propose a coordinate descent approach to low-rank structured semidefinite programming. The approach, which we call the Mixing method, is extremely simple to implement, has no free parameters, and typically attains an order of magnitude or better improvement in optimization performance over the current state of the art. We show that for certain problems, the method is strictly decreasing and guaranteed to converge to a critical point. We then apply the algorithm to three…

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