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• W2234856851 abstract "We consider the problem of minimizing a sum of several convex non-smooth functions. We introduce a new algorithm called the selective linearization method, which iteratively linearizes all but one of the functions and employs simple proximal steps. The algorithm is a form of multiple operator splitting in which the order of processing partial functions is not fixed, but rather determined in the course of calculations. Global convergence is proved and estimates of the convergence rate are derived. Specifically, the number of iterations needed to achieve solution accuracy $varepsilon$ is of order $mathcal{O}big(ln(1/varepsilon)/varepsilonbig)$. We also illustrate the operation of the algorithm on structured regularization problems." @default.
• W2234856851 created "2016-06-24" @default.
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• W2234856851 date "2015-11-05" @default.
• W2234856851 modified "2023-10-11" @default.
• W2234856851 title "Selective Linearization For Multi-Block Convex Optimization" @default.
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• W2234856851 doi "https://doi.org/10.7282/t34x5bn6" @default.
• W2234856851 hasPublicationYear "2015" @default.
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