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Objective function decomposition in global optimization

... Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.10556 LNCS. 2017. P.338-344. ISBN (print): 9783319694030. DOI: 10.1007/978-3-319-69404-7_28 In this paper we consider global optimization problems in which objective functions are explicitly given and can be represented as compositions of some other functions. We discuss an approach of reducing the complexity of the objective by introducing new variables and adding new ...

Теги: d.c. function , decomposition , global optimization , induced constraint , optimization , global optimization problems , objective functions
Explicit univariate global optimization with piecewise linear support functions

... univariate global optimization with piecewise linear support functions // CEUR Workshop Proceedings. Vol.1623. 2016. P.218-225. Piecewise linear convex and concave support functions combined with Pijavskii's method are proposed to be used for solving global optimization problems. Rules for constructing support functions are introduced. Copyright © by the paper's authors. нет

Теги: global minimum , piecewise concave and convex functions , support functions , functions , operations research , optimization , piecewise linear techniques , convex functions , global minima , global optimization problems , piecewise linear , univariate , global optim


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