The DIRECT algorithm: 25 years Later

DR Jones, JRRA Martins - Journal of global optimization, 2021 - Springer
Introduced in 1993, the DIRECT global optimization algorithm provided a fresh approach to
minimizing a black-box function subject to lower and upper bounds on the variables. In …

Globally-biased BIRECT algorithm with local accelerators for expensive global optimization

R Paulavičius, YD Sergeyev, DE Kvasov… - Expert Systems with …, 2020 - Elsevier
In this paper, black-box global optimization problem with expensive function evaluations is
considered. This problem is challenging for numerical methods due to the practical limits on …

DIRECTGO: A New DIRECT-Type MATLAB Toolbox for Derivative-Free Global Optimization

L Stripinis, R Paulavičius - ACM Transactions on Mathematical Software, 2022 - dl.acm.org
In this work, we introduce DIRECTGO, a new MATLAB toolbox for derivative-free global
optimization. DIRECTGO collects various deterministic derivative-free DIRECT-type …

Silicon nitride-on-silicon bi-layer grating couplers designed by a global optimization method

JCC Mak, Q Wilmart, S Olivier, S Menezo, JKS Poon - Optics express, 2018 - opg.optica.org
Silicon nitride-on-silicon bi-layer grating couplers were designed for the O-band using an
optimization-based procedure that accounted for design rules and fabricated on a 200 mm …

Improved scheme for selection of potentially optimal hyper-rectangles in DIRECT

L Stripinis, R Paulavičius, J Žilinskas - Optimization Letters, 2018 - Springer
We consider a box-constrained global optimization problem with a Lipschitz-continuous
objective function and an unknown Lipschitz constant. The well known derivative-free global …

Discrete sizing optimization method based on dividing rectangles algorithm and local response surface for steel frame structures

Y Wan, B Hu, Y Yang, F Jin, J Zhou, B Gao - Journal of Building …, 2023 - Elsevier
It has always been the goal of structural engineers to construct safe and stable buildings
using the least amount of materials. Utilizing a quick and effective way to optimize the cross …

On MATLAB experience in accelerating DIRECT-GLce algorithm for constrained global optimization through dynamic data structures and parallelization

L Stripinis, J Žilinskas, LG Casado… - Applied Mathematics and …, 2021 - Elsevier
In this paper, two different acceleration techniques for a deterministic DIRECT (DI viding
RECT angles)-type global optimization algorithm, DIRECT-GLce, are considered. We adopt …

[图书][B] Derivative-Free DIRECT-Type Global Optimization: Applications and Software

L Stripinis, R Paulavičius - 2023 - books.google.com
After providing an in-depth introduction to derivative-free global optimization with various
constraints, this book presents new original results from well-known experts on the subject …

A new partition method for DIRECT-type algorithm based on minimax design

K Jia, X Duan, Z Wang, T Yi, L Yan, X Chen - Journal of Global …, 2024 - Springer
This article presents a new DIRECT-type SCABALL (scattering balls) algorithm with a new
partition method for derivation-free optimization problems. It does not focus on dividing the …

An Efficient Global Optimization Algorithm with Adaptive Estimates of the Local Lipschitz Constants

D D'Agostino - arXiv preprint arXiv:2211.04129, 2022 - arxiv.org
In this work, we present a new deterministic partition-based Global Optimization (GO)
algorithm that uses estimates of the local Lipschitz constants associated with different sub …