MrDIRECT: a multilevel robust DIRECT algorithm for global optimization problems

Q Liu, J Zeng, G Yang - Journal of Global Optimization, 2015 - Springer
Although DIRECT global optimization algorithm quickly gets close to the basin of the
optimum, it often takes much longer to refine the solution to a high degree of accuracy. This …

Exploiting derivative-free local searches in DIRECT-type algorithms for global optimization

G Liuzzi, S Lucidi, V Piccialli - Computational Optimization and …, 2016 - Springer
In this paper we consider bound constrained global optimization problems where first-order
derivatives of the objective function can be neither computed nor approximated explicitly …

A multi-objective DIRECT algorithm for ship hull optimization

EF Campana, M Diez, G Liuzzi, S Lucidi… - Computational …, 2018 - Springer
The paper is concerned with black-box nonlinear constrained multi-objective optimization
problems. Our interest is the definition of a multi-objective deterministic partition-based …

Benchmarking stochastic algorithms for global optimization problems by visualizing confidence intervals

Q Liu, WN Chen, JD Deng, T Gu… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
The popular performance profiles and data profiles for benchmarking deterministic
optimization algorithms are extended to benchmark stochastic algorithms for global …

A modified DIRECT algorithm with bilevel partition

Q Liu, W Cheng - Journal of Global Optimization, 2014 - Springer
It has been pointed out by Jones DR that the DIRECT global optimization algorithm can
quickly get close to the basin of the optimum but takes longer to achieve a high degree of …

A partition-based convergence framework for population-based optimization algorithms

X Li, S Hua, Q Liu, Y Li - Information Sciences, 2023 - Elsevier
Population-based optimization algorithms, such as genetic algorithm and particle swarm
optimization, have become a class of important algorithms for solving global optimization …

Paradoxes in numerical comparison of optimization algorithms

Q Liu, WV Gehrlein, L Wang, Y Yan… - IEEE Transactions …, 2019 - ieeexplore.ieee.org
Numerical comparison is often key to verifying the performance of optimization algorithms,
especially, global optimization algorithms. However, studies have so far neglected issues …

Filter-based DIRECT method for constrained global optimization

MFP Costa, AMAC Rocha… - Journal of Global …, 2018 - Springer
This paper presents a DIRECT-type method that uses a filter methodology to assure
convergence to a feasible and optimal solution of nonsmooth and nonconvex constrained …

Improving the convergence rate of the DIRECT global optimization algorithm

Q Liu, G Yang, Z Zhang, J Zeng - Journal of Global Optimization, 2017 - Springer
DIRECT is derivative-free global-search algorithm has been found to perform robustly
across a wide variety of low-dimensional test problems. The reason DIRECT's robustness is …

Bilevel-search particle swarm optimization algorithm for solving LSGO problems

Y Wang, Z Lei, J Wu - Journal of Ambient Intelligence and Humanized …, 2023 - Springer
Improving the efficiency of solving complex optimization problems is the focus of intelligent
algorithm research in recent years. Complex optimization problems have the characteristics …