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 …
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
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 …
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
In this work, we introduce DIRECTGO, a new MATLAB toolbox for derivative-free global
optimization. DIRECTGO collects various deterministic derivative-free DIRECT-type …
optimization. DIRECTGO collects various deterministic derivative-free DIRECT-type …
An empirical study of various candidate selection and partitioning techniques in the DIRECT framework
Over the last three decades, many attempts have been made to improve the DIRECT
(DIviding RECTangles) algorithm's efficiency. Various novel ideas and extensions have …
(DIviding RECTangles) algorithm's efficiency. Various novel ideas and extensions have …
Branch-and-Model: a derivative-free global optimization algorithm
This paper presents a novel derivative-free global optimization algorithm Branch-and-Model
(BAM). The BAM algorithm partitions the search domain dynamically, builds surrogate …
(BAM). The BAM algorithm partitions the search domain dynamically, builds surrogate …
Generative design of truss systems by the integration of topology and shape optimisation
M Watson, M Leary, M Brandt - The International Journal of Advanced …, 2022 - Springer
Generative design refers to the automated design of components through the use of
computer-aided engineering (CAE) tools. This is an enabling technology which allows …
computer-aided engineering (CAE) tools. This is an enabling technology which allows …
Improved scheme for selection of potentially optimal hyper-rectangles in DIRECT
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 …
objective function and an unknown Lipschitz constant. The well known derivative-free global …
Global optimization based on bisection of rectangles, function values at diagonals, and a set of Lipschitz constants
We consider a global optimization problem for Lipschitz-continuous functions with an
unknown Lipschitz constant. Our approach is based on the well-known DIRECT (DIviding …
unknown Lipschitz constant. Our approach is based on the well-known DIRECT (DIviding …
An extensive numerical benchmark study of deterministic vs. stochastic derivative-free global optimization algorithms
Research in derivative-free global optimization is under active development, and many
solution techniques are available today. Therefore, the experimental comparison of previous …
solution techniques are available today. Therefore, the experimental comparison of previous …
A new DIRECT-GLh algorithm for global optimization with hidden constraints
In this paper, we consider the solution of global optimization problems involving hidden
constraints. We present a novel deterministic derivative-free global optimization algorithm …
constraints. We present a novel deterministic derivative-free global optimization algorithm …