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Primal-dual subgradient method for constrained convex optimization problems

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This paper considers a general convex constrained problem setting where functions are not assumed to be differentiable nor Lipschitz continuous. Our motivation is in finding a simple first-order method for… Click to show full abstract

This paper considers a general convex constrained problem setting where functions are not assumed to be differentiable nor Lipschitz continuous. Our motivation is in finding a simple first-order method for solving a wide range of convex optimization problems with minimal requirements. We study the method of weighted dual averages (Nesterov in Math Programm 120(1): 221–259, 2009) in this setting and prove that it is an optimal method.

Keywords: convex optimization; optimization; dual subgradient; primal dual; method; optimization problems

Journal Title: Optimization Letters
Year Published: 2021

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