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Optimization Methods and Software(3)
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Optimización matemática(7)
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Characterizing and testing subdifferential regularity in piecewise smooth optimization
ArticleAbstract: Functions defined by evaluation programs involving smooth elementals and absolute values as well asPalabras claves:abs-normal form, Clarke generalized gradient, First-order-convexity, Linear independence kink qualification, Mangasarin–Fromovitz kink qualification, Mordukhovich subdifferential, Subdifferential regularityAutores:Andreas Griewank, Walther A.Fuentes:scopusAn algorithm for nonsmooth optimization by successive piecewise linearization
ArticleAbstract: We present an optimization method for Lipschitz continuous, piecewise smooth (PS) objective functionPalabras claves:abs-normal form, Algorithmic differentiation, Clarke stationary, Nonsmooth optimization, Piecewise smoothnessAutores:Andreas Griewank, Fiege S., Walther A.Fuentes:scopusFinite convergence of an active signature method to local minima of piecewise linear functions
ArticleAbstract: We previously derived first-order (KKT) and second-order (SOSC) optimality conditions for functionsPalabras claves:abs-normal form, active set and signature, Karush–Kuhn–Tucker (KKT), linear independence kink qualification (LIKQ), normal growth, quadratic regularization, Successive abs-linear minimization (SALMIN), tangential stationarityAutores:Andreas Griewank, Walther A.Fuentes:scopusFirst- and second-order optimality conditions for piecewise smooth objective functions
ArticleAbstract: Any piecewise smooth function that is specified by an evaluation procedure involving smooth elementaPalabras claves:abs-normal form, decomposition, Karush–Kuhn–Tucker, normal growth, Piecewise linearization, projected Hessian, second-order optimality, tangential stationarityAutores:Andreas Griewank, Walther A.Fuentes:scopusOn Lipschitz optimization based on gray-box piecewise linearization
ArticleAbstract: We address the problem of minimizing objectives from the class of piecewise differentiable functionsPalabras claves:abs-normal form, Algorithmic differentiation, bundle methods, Nonsmooth optimization, Piecewise linearityAutores:Andreas Griewank, Bosse T., Fiege S., Walther A.Fuentes:scopusOn the abs-polynomial expansion of piecewise smooth functions
ArticleAbstract: Tom Streubel has observed that for functions in abs-normal form, generalized Taylor expansions of arPalabras claves:abs-linear form, abs-normal form, absolute convergence, forward mode propagation, Moore recurrences, Nonsmooth Taylor polynomial/series, quadratic complexityAutores:Andreas Griewank, Streubel T., Tischendorf C.Fuentes:scopusRelaxing kink qualifications and proving convergence rates in piecewise smooth optimization <sup>∗</sup>
ArticleAbstract: In the paper [Optim. Methods Softw., 31 (2016), pp. 904–930] we derived first order (KKT) and secondPalabras claves:abs-normal form, Karush–Kuhn–Tucker, KKT, LIKQ, Linear convergence, Linear independence kink qualification, Quadratic convergence, Second order sufficiency condition, Sharp minimizer, SOSC, Strict complementaryAutores:Andreas Griewank, Walther A.Fuentes:scopus