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Expensive optimization problems (EOPs) have attracted increasing research attention over the decades due to their ubiquity in a variety of practical applications. Despite many sophisticated surrogate-assisted evolutionary algorithms (SAEAs)…

Neural and Evolutionary Computing · Computer Science 2024-08-21 Xiaoming Xue , Yao Hu , Liang Feng , Kai Zhang , Linqi Song , Kay Chen Tan

Large Language Models (LLMs) have achieved significant progress across various fields and have exhibited strong potential in evolutionary computation, such as generating new solutions and automating algorithm design. Surrogate-assisted…

Neural and Evolutionary Computing · Computer Science 2024-06-18 Hao Hao , Xiaoqun Zhang , Aimin Zhou

Large-scale optimization problems that involve thousands of decision variables have extensively arisen from various industrial areas. As a powerful optimization tool for many real-world applications, evolutionary algorithms (EAs) fail to…

Neural and Evolutionary Computing · Computer Science 2023-09-26 Peng Yang , Ke Tang , Xin Yao

The spatiotemporal resolution of Partial Differential Equations (PDEs) plays important roles in the mathematical description of the world's physical phenomena. In general, scientists and engineers solve PDEs numerically by the use of…

Artificial Intelligence · Computer Science 2023-06-29 Lucas Meyer , Marc Schouler , Robert Alexander Caulk , Alejandro Ribés , Bruno Raffin

The optimization of industrial processes remains a critical challenge, particularly when no mathematical formulation of objective functions or constraints is available. This study addresses this issue by proposing a surrogate-based,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-16 Eider Garate-Perez , Kerman López de Calle-Etxabe , Susana Ferreiro

Denoising diffusion models (DDMs) offer a promising generative approach for combinatorial optimization, yet they often lack the robust exploration capabilities of traditional metaheuristics like evolutionary algorithms (EAs). We propose a…

Neural and Evolutionary Computing · Computer Science 2025-10-13 Joan Salvà Soler , Günther R. Raidl

Existing work on data-driven optimization focuses on problems in static environments, but little attention has been paid to problems in dynamic environments. This paper proposes a data-driven optimization algorithm to deal with the…

Neural and Evolutionary Computing · Computer Science 2020-12-29 Cuie Yang , Jinliang Ding , Yaochu Jin , Tianyou Chai

Derivation of the probability density evolution provides invaluable insight into the behavior of many stochastic systems and their performance. However, for most real-time applica-tions, numerical determination of the probability density…

Machine Learning · Computer Science 2022-07-06 Seid H. Pourtakdoust , Amir H. Khodabakhsh

In this paper, a novel mutation operator of differential evolution algorithm is proposed. A new algorithm called divergence differential evolution algorithm (DDEA) is developed by combining the new mutation operator with divergence operator…

Neural and Evolutionary Computing · Computer Science 2011-08-18 Yifeng Gao , Shuhong Gong , Ge Zhao

In the paper, a multi-objective evolutionary surrogate-assisted approach for the fast and effective generative design of coastal breakwaters is proposed. To approximate the computationally expensive objective functions, the deep…

Neural and Evolutionary Computing · Computer Science 2022-10-28 Nikita O. Starodubcev , Nikolay O. Nikitin , Anna V. Kalyuzhnaya

Production optimization in stress-sensitive unconventional reservoirs is governed by a nonlinear trade-off between pressure-driven flow and stress-induced degradation of fracture conductivity and matrix permeability. While higher drawdown…

Machine Learning · Computer Science 2026-04-02 Mahammad Valiyev , Jodel Cornelio , Behnam Jafarpour

Expensive optimization problems (EOPs) are prevalent in real-world applications, where the evaluation of a single solution requires a significant amount of resources. In our study of surrogate-assisted evolutionary algorithms (SAEAs) in…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Hao Hao , Xiaoqun Zhang , Aimin Zhou

Surrogate assisted evolutionary algorithms (EA) are rapidly gaining popularity where applications of EA in complex real world problem domains are concerned. Although EAs are powerful global optimizers, finding optimal solution to complex…

Neural and Evolutionary Computing · Computer Science 2013-03-13 Maumita Bhattacharya

The emerging research paradigm coined as multitasking optimization aims to solve multiple optimization tasks concurrently by means of a single search process. For this purpose, the exploitation of complementarities among the tasks to be…

Artificial Intelligence · Computer Science 2020-05-14 Eneko Osaba , Aritz D. Martinez , Akemi Galvez , Andres Iglesias , Javier Del Ser

Building a surrogate model of an objective function has shown to be effective to assist evolutionary algorithms (EAs) to solve real-world complex optimisation problems which involve either computationally expensive numerical simulations or…

Neural and Evolutionary Computing · Computer Science 2020-02-11 Xiaoran Ruan , Ke Li , Bilel Derbel , Arnaud Liefooghe

Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate may require many high-fidelity evaluations, adaptive…

Numerical Analysis · Mathematics 2026-05-18 Zhiwei Gao , George Karniadakis

Artificial intelligence is transforming scientific computing with deep neural network surrogates that approximate solutions to partial differential equations (PDEs). Traditional off-line training methods face issues with storage and I/O…

Machine Learning · Computer Science 2024-10-10 Sofya Dymchenko , Abhishek Purandare , Bruno Raffin

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

In Bayesian inverse problems, surrogate models are often constructed to speed up the computational procedure, as the parameter-to-data map can be very expensive to evaluate. However, due to the curse of dimensionality and the nonlinear…

Numerical Analysis · Mathematics 2020-03-03 Liang Yan , Tao Zhou

State-of-the-art Deep Neural Networks (DNNs) often incorporate multi-branch connections, enabling multi-scale feature extraction and enhancing the capture of diverse features. This design improves network capacity and generalisation to…

Neural and Evolutionary Computing · Computer Science 2025-06-26 Fergal Stapleton , Daniel García Núñez , Yanan Sun , Edgar Galván