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We conduct a first fundamental analysis of the working principles of binary differential evolution (BDE), an optimization heuristic for binary decision variables that was derived by Gong and Tuson (2007) from the very successful classic…

Neural and Evolutionary Computing · Computer Science 2019-11-06 Benjamin Doerr , Weijie Zheng

In this paper, we present an empirical study on convergence nature of Differential Evolution (DE) variants to solve unconstrained global optimization problems. The aim is to identify the competitive nature of DE variants in solving the…

Neural and Evolutionary Computing · Computer Science 2011-05-11 G. Jeyakumar C. Shanmugavelayutham

Differential evolution (DE) algorithm is recognized as one of the most effective evolutionary algorithms, demonstrating remarkable efficacy in black-box optimization due to its derivative-free nature. Numerous enhancements to the…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Xu Yang , Rui Wang , Kaiwen Li , Ling Wang

Energy demand has increased considerably with the growth of world population, increasing the interest in the hydrocarbon reservoir management problem. Companies are concerned with maximizing oil recovery while minimizing capital investment…

Optimization and Control · Mathematics 2015-04-28 Grazieli L. C. Carosio , Thomas D. Humphries , Ronald D. Haynes , Colin G. Farquharson

Evolutionary algorithms (EAs) are universal solvers inspired by principles of natural evolution. In many applications, EAs produce astonishingly good solutions. As they are able to deal with complex optimisation problems, they show great…

Neural and Evolutionary Computing · Computer Science 2024-09-25 Jakob Baumann , Ignaz Rutter , Dirk Sudholt

Systems with both quantitative and qualitative responses are widely encountered in many applications. Design of experiment methods are needed when experiments are conducted to study such systems. Classic experimental design methods are…

Methodology · Statistics 2023-04-24 Lulu Kang , Xinwei Deng , Ran Jin

We present a review of methods for optimal experimental design (OED) for Bayesian inverse problems governed by partial differential equations with infinite-dimensional parameters. The focus is on problems where one seeks to optimize the…

Optimization and Control · Mathematics 2021-02-01 Alen Alexanderian

The use of Evolutionary Algorithms (EA) for solving Mathematical/Computational Optimization Problems is inspired by the biological processes of Evolution. Few of the primitives involved in the Evolutionary process/paradigm are selection of…

Neural and Evolutionary Computing · Computer Science 2023-11-07 Parthasarathy Srinivasan

Evolutionary algorithms (EAs) serve as powerful black-box optimizers inspired by biological evolution. However, most existing EAs predominantly focus on heuristic operators such as crossover and mutation, while usually overlooking…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Kaichen Ouyang , Mingyang Yu , Zong Ke , Junbo Jacob Lian , Shengwei Fu , Xiaoyang Hao , Shengju Yu , Dayu Hu

In recent years, many design automation methods have been developed to routinely create approximate implementations of circuits and programs that show excellent trade-offs between the quality of output and required resources. This paper…

Neural and Evolutionary Computing · Computer Science 2021-08-17 Lukas Sekanina

Evolutionary algorithms (EAs) have emerged as a powerful framework for optimization, especially for black-box optimization. Existing evolutionary algorithms struggle to comprehend and effectively utilize task-specific information for…

Neural and Evolutionary Computing · Computer Science 2024-12-24 Kai Wu , Xiaobin Li , Penghui Liu , Jing Liu

The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product…

Optimization and Control · Mathematics 2019-04-25 Sergey Kabanikhin , Olga Krivorotko , Maktagali Bektemessov , Zholaman Bektemessov , Shuhua Zhang

Algorithm selection is crucial in the field of optimization, as no single algorithm performs perfectly across all types of optimization problems. Finding the best algorithm among a given set of algorithms for a given problem requires a…

Neural and Evolutionary Computing · Computer Science 2025-01-27 Saba Sadeghi Ahouei , Denis Antipov , Aneta Neumann , Frank Neumann

As a typical model-based evolutionary algorithm (EA), estimation of distribution algorithm (EDA) possesses unique characteristics and has been widely applied to global optimization. However, the common-used Gaussian EDA (GEDA) usually…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Yongsheng Liang , Zhigang Ren , Xianghua Yao , Zuren Feng , An Chen

Many chemical and biological experiments involve multiple treatment factors and often it is convenient to fit a nonlinear model in these factors. This nonlinear model can be mechanistic, empirical or a hybrid of the two. Motivated by…

Computation · Statistics 2018-10-09 Yuanzhi Huang , Steven Gilmour , Kalliopi Mylona , Peter Goos

This study presents a population-based evolutionary optimization algorithm (Adaptive Differential Evolution with Diversification Strategies or ADEDS). The algorithm developed using the sinusoidal objective function and subsequently…

Neural and Evolutionary Computing · Computer Science 2023-10-09 Sarit Maitra

The extremely sensitive and highly nonlinear search space of interplanetary transfer trajectory design bring about big challenges on global optimization. As a representative, the current known best solution of the global trajectory…

Artificial Intelligence · Computer Science 2021-04-14 Mingcheng Zuo , Guangming Dai , Lei Peng , Zhe Tang

Differential Evolution (DE) is quite powerful for real parameter single objective optimization. However, the ability of extending or changing search area when falling into a local optimum is still required to be developed in DE for…

Artificial Intelligence · Computer Science 2020-03-03 Chengjun Li , Yang Li

In [1], we have explored the theoretical aspects of feature selection and evolutionary algorithms. In this chapter, we focus on optimization algorithms for enhancing data analytic process, i.e., we propose to explore applications of…

Machine Learning · Computer Science 2019-08-26 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

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