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A note on overrelaxation in the Sinkhorn algorithm

2020/12/23 by Lehmann, Tobias, von Renesse, Max-K., Sambale, Alexander +1 · 1 citation
#49Q22 (Secondary) #65D18 (Primary) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.2012.12562

Abstract

We derive an a priori parameter range for overrelaxation of the Sinkhorn algorithm, which guarantees global convergence and a strictly faster asymptotic local convergence. Guided by the spectral analysis of the linearized problem we pursue a zero cost procedure to choose a near optimal relaxation parameter.

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