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• W1922736325 abstract "We provide a new proof of the linear convergence of the alternating direction method of multipliers (ADMM) when one of the objective terms is strongly convex. Our proof is based on a framework for analyzing optimization algorithms introduced in Lessard et al. (2014), reducing algorithm convergence to verifying the stability of a dynamical system. This approach generalizes a number of existing results and obviates any assumptions about specific choices of algorithm parameters. On a numerical example, we demonstrate that minimizing the derived bound on the convergence rate provides a practical approach to selecting algorithm parameters for particular ADMM instances. We complement our upper bound by constructing a nearly-matching lower bound on the worst-case rate of convergence." @default.
• W1922736325 created "2016-06-24" @default.
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• W1922736325 date "2015-02-06" @default.
• W1922736325 modified "2023-09-23" @default.
• W1922736325 title "A General Analysis of the Convergence of ADMM" @default.
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• W1922736325 hasPublicationYear "2015" @default.
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