An optimal variant of Kelley's cutting-plane method

Published 9 Sep 2014 in math.OC | (1409.2636v2)

Abstract: We propose a new variant of Kelley's cutting-plane method for minimizing a nonsmooth convex Lipschitz-continuous function over the Euclidean space. We derive the method through a constructive approach and prove that it attains the optimal rate of convergence for this class of problems.

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