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• W2963173886 abstract "We generalize Newton-type methods for minimizing smooth functions to handle a sum of two convex functions: a smooth function and a nonsmooth function with a simple proximal mapping. We show that the resulting proximal Newton-type methods inherit the desirable convergence behavior of Newton-type methods for minimizing smooth functions, even when search directions are computed inexactly. Many popular methods tailored to problems arising in bioinformatics, signal processing, and statistical learning are special cases of proximal Newton-type methods, and our analysis yields new convergence results for some of these methods." @default.
• W2963173886 created "2019-07-30" @default.
• W2963173886 creator A5039807799 @default.
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• W2963173886 date "2014-01-01" @default.
• W2963173886 modified "2023-09-29" @default.
• W2963173886 title "Proximal Newton-Type Methods for Minimizing Composite Functions" @default.
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• W2963173886 doi "https://doi.org/10.1137/130921428" @default.
• W2963173886 hasPublicationYear "2014" @default.
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