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most citedDeterministic approaches for solving practical black-box global optimization problems

76 citations · 631 across the 35 of their papers we have counts for

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math.OC2019★ 36 cited

Safe global optimization of expensive noisy black-box functions in the -Lipschitz framework

Yaroslav D. Sergeyev, Antonio Candelieri, Dmitri E. Kvasov +1

In this paper, the problem of safe global maximization (it should not be confused with robust optimization) of expensive noisy black-box functions satisfying the Lipschitz conditio…

math.OC2018★ 57 cited

On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales

Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov

The necessity to find the global optimum of multiextremal functions arises in many applied problems where finding local solutions is insufficient. One of the desirable properties o…

math.OC2015★ 76 cited

Deterministic approaches for solving practical black-box global optimization problems

Dmitri E. Kvasov, Yaroslav D. Sergeyev

In many important design problems, some decisions should be made by finding the global optimum of a multiextremal objective function subject to a set of constrains. Frequently, esp…

math.OC2015★ 73 cited

A deterministic global optimization using smooth diagonal auxiliary functions

Yaroslav D. Sergeyev, Dmitri E. Kvasov

In many practical decision-making problems it happens that functions involved in optimization process are black-box with unknown analytical representations and hard to evaluate. In…

math.OC2015★ 45 cited

Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants

Daniela Lera, Yaroslav D. Sergeyev

In this paper, the global optimization problem with being a hyperinterval in and satisfying the Lipschitz condition with an unknown Lipschit…

math.OC2013★ 62 cited

Lipschitz gradients for global optimization in a one-point-based partitioning scheme

Dmitri E. Kvasov, Yaroslav D. Sergeyev

A global optimization problem is studied where the objective function is a multidimensional black-box function and its gradient satisfies the Lipschitz condition ove…