Jun 15, 2019 � In the present work, a generalization of the adaptive dimensionality reduction scheme combining the use of the nested optimization and the Peano�...

A generalized scheme combining the Peano-type space-filling curves and the nested optimization scheme, which reduces a multi-dimensional problem to a family�...

Konstantin Barkalov , Ilya Lebedev : Adaptive Global Optimization Based on Nested Dimensionality Reduction. WCGO 2019: 48-57. manage site settings.

In the new scheme, an original multidimensional problem is reduced to a family of lower-dimensional problems, which are solved using evolvents. An adaptive�...

This paper proposes a parallel algorithm for solving problems of this class based on information-statistical approach for solving continuous global�...

A novel approach for solving the multidimensional multiextremal problems based on the adaptive nested optimization has been proposed.

This paper is devoted to numerical global optimization algorithms applying several ideas to reduce the problem dimension. Two approaches to the dimensionality�...

This note investigates the possibilities offered by a novel global optimization technique in solving some minimization problems arising in Control Theory. The�...

This scheme reduces initial multidimensional problem to a set of univariate subproblems connected recursively. That enables to apply efficient univariate�...

Abstract. This paper is devoted to numerical global optimization algorithms applying several ideas to reduce the problem dimension.