On the search of the shape parameter in radial basis functions using univariate global optimization methods
In this paper we consider the problem of finding an optimal value of the shape parameter in
radial basis function interpolation. In particular, we propose the use of a leave-one-out cross …
radial basis function interpolation. In particular, we propose the use of a leave-one-out cross …
Safe global optimization of expensive noisy black-box functions in the -Lipschitz framework
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 condition is …
optimization) of expensive noisy black-box functions satisfying the Lipschitz condition is …
Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics
The problem of approximating and visualizing the solution set of systems of nonlinear
inequalities can be frequently met in practice, in particular, when it is required to find the …
inequalities can be frequently met in practice, in particular, when it is required to find the …
Global optimization method with dual Lipschitz constant estimates for problems with non-convex constraints
R Strongin, K Barkalov, S Bevzuk - Soft Computing, 2020 - Springer
This paper considers the constrained global optimization problems, in which the functions
are of the “black-box” type and satisfy the Lipschitz condition. The algorithms for solving the …
are of the “black-box” type and satisfy the Lipschitz condition. The algorithms for solving the …
An experimental study of univariate global optimization algorithms for finding the shape parameter in radial basis functions
In this contribution, an interpolation problem using radial basis functions is considered. A
recently proposed approach for the search of the optimal value of the shape parameter is …
recently proposed approach for the search of the optimal value of the shape parameter is …
Acceleration of global search by implementing dual estimates for Lipschitz constant
R Strongin, K Barkalov, S Bevzuk - International Conference on Numerical …, 2019 - Springer
The paper considers global optimization problems with a black-box objective function
satisfying the Lipschitz condition. Efficient algorithms for this class of problems require …
satisfying the Lipschitz condition. Efficient algorithms for this class of problems require …
Lipschitz expensive global optimization
DE Kvasov, YD Sergeyev - Encyclopedia of Optimization, 2023 - Springer
Global optimization problems are considered in which the objective functions and
constraints can be expensive black-box multi-extremal functions satisfying the Lipschitz …
constraints can be expensive black-box multi-extremal functions satisfying the Lipschitz …
Kinetic modeling of isobutane alkylation with mixed c4 olefins and sulfuric acid as a catalyst using the asynchronous global optimization algorithm
I Gubaydullin, L Enikeeva, K Barkalov… - … Conference on Parallel …, 2022 - Springer
The paper considers the application of parallel computing technology to the simulation of a
catalytic chemical reaction, which is widely used in the modern automobile industry to …
catalytic chemical reaction, which is widely used in the modern automobile industry to …
Approximations of space-filling curves for numerical applications in robotics
MC Nasso, D Lera - American Institute of Physics …, 2024 - ui.adsabs.harvard.edu
In this article, the problem of approximating and visualizing the solution set of system of
nonlinear inequalities is considered. In particular the proposed methods are based on two …
nonlinear inequalities is considered. In particular the proposed methods are based on two …
Safe global optimization
This chapter addresses the recent emerging topic known as safe global optimization, with
safe meaning that no safety constraints are violated while sequentially performing …
safe meaning that no safety constraints are violated while sequentially performing …