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Multi-modal optimization involves identifying multiple global and local optima of a function, offering valuable insights into diverse optimal solutions within the search space. Evolutionary algorithms (EAs) excel at finding multiple…

Neural and Evolutionary Computing · Computer Science 2025-09-09 Dikshit Chauhan , Shivani , Donghwi Jung , Anupam Yadav

This paper presents a methodological framework for training, self-optimising, and self-organising surrogate models to approximate and speed up multiobjective optimisation of technical systems based on multiphysics simulations. At the hand…

Machine Learning · Computer Science 2024-04-04 Diego Botache , Jens Decke , Winfried Ripken , Abhinay Dornipati , Franz Götz-Hahn , Mohamed Ayeb , Bernhard Sick

Surrogate-assisted Evolutionary Algorithms~(SAEAs) have shown promising robustness in solving expensive optimization problems. A key aspect that impacts SAEAs' effectiveness is surrogate model selection, which in existing works is…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Yuxin Wu , Hongshu Guo , Ting Huang , Yue-Jiao Gong , Zeyuan Ma

As a cornerstone in the Evolutionary Computation (EC) domain, Differential Evolution (DE) is known for its simplicity and effectiveness in handling challenging black-box optimization problems. While the advantages of DE are well-recognized,…

Neural and Evolutionary Computing · Computer Science 2025-03-27 Minyang Chen , Chenchen Feng , and Ran Cheng

Evolutionary algorithms provide gradient-free optimisation which is beneficial for models that have difficulty in obtaining gradients; for instance, geoscientific landscape evolution models. However, such models are at times computationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-28 Rohitash Chandra , Yash Vardhan Sharma

Many real-world problems are usually computationally costly and the objective functions evolve over time. Data-driven, a.k.a. surrogate-assisted, evolutionary optimization has been recognized as an effective approach for tackling expensive…

Neural and Evolutionary Computing · Computer Science 2022-11-08 Ke Li , Renzhi Chen , Xin Yao

Multi-tasking optimization can usually achieve better performance than traditional single-tasking optimization through knowledge transfer between tasks. However, current multi-tasking optimization algorithms have some deficiencies. For high…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Zhengping Liang , Weiqi Liang , Xiuju Xu , Ling Liu , Zexuan Zhu

The computational models for geophysical flows are computationally very expensive to employ in multi-query tasks such as data assimilation, uncertainty quantification, and hence surrogate models sought to alleviate the computational burden…

Computational Physics · Physics 2022-01-10 Suraj Pawar , Omer San , Gary G. Yen

Recent Meta-Black-Box Optimization (MetaBBO) approaches have shown possibility of enhancing the optimization performance through learning meta-level policies to dynamically configure low-level optimizers. However, existing MetaBBO…

Machine Learning · Computer Science 2025-03-25 Zeyuan Ma , Zhiyang Huang , Jiacheng Chen , Zhiguang Cao , Yue-Jiao Gong

Differential evolution (DE) has competitive performance on constrained optimization problems (COPs), which targets at searching for global optimal solution without violating the constraints. Generally, researchers pay more attention on…

Neural and Evolutionary Computing · Computer Science 2018-05-14 Yuan Fu , Hu Wang , Meng-Zhu Yang

Solving complex problems requires continuous effort in developing theory and practice to cope with larger, more difficult scenarios. Working with surrogates is normal for creating a proxy that realistically models the problem into the…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Tomohiro Harada , Enrique Alba , Gabriel Luque

This paper presents several types of evolutionary algorithms (EAs) used for global optimization on real domains. The interest has been focused on multimodal problems, where the difficulties of a premature convergence usually occurs. First…

Neural and Evolutionary Computing · Computer Science 2009-02-11 O. Hrstka , A. Kucerova

The performance of multi-objective evolutionary algorithms deteriorates appreciably in solving many-objective optimization problems which encompass more than three objectives. One of the known rationales is the loss of selection pressure…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi

In robust optimization problems, the magnitude of perturbations is relatively small. Consequently, solutions within certain regions are less likely to represent the robust optima when perturbations are introduced. Hence, a more efficient…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Wei Du , Wenxuan Fang , Chen Liang , Yang Tang , Yaochu Jin

We investigate a deep learning approach to efficiently perform Bayesian inference in partial differential equation (PDE) and integral equation models over potentially high-dimensional parameter spaces. The contributions of this paper are…

Numerical Analysis · Mathematics 2021-03-26 Teo Deveney , Eike Mueller , Tony Shardlow

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

Expensive optimization problems (EOPs) present significant challenges for traditional evolutionary optimization due to their limited evaluation calls. Although surrogate-assisted search (SAS) has become a popular paradigm for addressing…

Neural and Evolutionary Computing · Computer Science 2025-10-28 Yi Lu , Xiaoming Xue , Kai Zhang , Liming Zhang , Guodong Chen , Chenming Cao , Piyang Liu , Kay Chen Tan

Deep surrogate models for parametric partial differential equations (PDEs) can deliver high-fidelity approximations but remain prohibitively data-hungry: training often requires thousands of fine-grid simulations, each incurring substantial…

Machine Learning · Computer Science 2026-03-03 Yang Meng , Ruoxi Jiang , Zhuokai Zhao , Chong Liu , Rebecca Willett , Yuxin Chen

The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

Geophysics · Physics 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

Differential evolution (DE) is a population based evolutionary algorithm widely used for solving multidimensional global optimization problems over continuous spaces. However, the design of its operators makes it unsuitable for many…

Neural and Evolutionary Computing · Computer Science 2011-05-17 Ashish Ranjan Hota , Ankit Pat
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