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Piecewise linear bounding functions in univariate global optimization

Posypkin M., Usov A., Khamisov O. Piecewise linear bounding functions in univariate global optimization // Soft Computing. 2020. 17 p. DOI: 10.1007/s00500-020-05254-3 The paper addresses the problem of constructing lower and upper estimators for univariate functions. This problem is of crucial importance in global optimization, where such bounds are used to reduce the search area. We propose to use piecewise linear estimators for bounding univariate functions and show how such ...

Теги: deterministic methods , estimators , piecewise linear functions , univariate global optimization , global optimization , algebraic expression , automated construction , bounding functions , first-order intervals , global optimization algorithm , objective functions
Раздел: ИСЭМ СО РАН
Piecewise linear bounding functions for univariate global optimization

... in global optimization where such bounds are used by deterministic methods to reduce the search area. It should be noted that bounding functions are expected to be relatively easy to construct and manipulate with. We propose to use piecewise linear estimators for bounding univariate functions. The rules proposed in the paper enable an automated synthesis of lower and upper bounds from the function’s expression in an algebraic form. Numerical examples presented in the paper demonstrate the high ...

Теги: deterministic methods , estimators , piecewise linear functions , univariate global optimization , global optimization , automated synthesis , bounding functions , lower and upper bounds , piece-wise linear functions , univariate , univariate functions , piecewise l
Раздел: ИСЭМ СО РАН


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