English

An optimal variant of Kelley's cutting-plane method

Optimization and Control 2015-06-16 v2

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.

Keywords

Cite

@article{arxiv.1409.2636,
  title  = {An optimal variant of Kelley's cutting-plane method},
  author = {Yoel Drori and Marc Teboulle},
  journal= {arXiv preprint arXiv:1409.2636},
  year   = {2015}
}
R2 v1 2026-06-22T05:52:10.420Z