App. Res. of Comp. Accepted Paper
Vol. 43, 2026 No. 8

Nesterov momentum-guided differential evolution

Guo Yifan
Liu Sheng
School of Management, Shanghai University of Engineering Science, Shanghai 201620, China
DOI: 10.19734/j.issn.1001-3695.2025.12.0495

Abstract

Differential Evolution (DE) algorithms tend to fall into local optima and suffer from insufficient solution accuracy. To address these problems, a Nesterov Momentum-Guided Differential Evolution (NAGDE) algorithm was proposed. The algorithm integrated the Nesterov Accelerated Gradient (NAG) method into the mutation phase. It utilized lookahead gradient estimation to calculate search directions and combined historical gradient information through momentum mechanism to guide population evolution, effectively escaping local optima and accelerating convergence. Momentum-guided individuals were introduced into the external archive to work synergistically with inferior solutions, expanding the selection range of difference vectors and maintaining population diversity. NAG parameters were dynamically adjusted based on sinusoidal functions. DE parameters followed Cauchy and normal distributions with NAG parameters as location parameters to adapt to different evolution stages. Experiments compared NAGDE with five advanced DE variants on 29 benchmark functions from the CEC2017 test suite. NAGDE achieves Friedman average ranks of 1.72 and 1.86 in 30-dimensional and 50-dimensional tests respectively, ranking first in both cases. The results demonstrate that NAGDE has superior performance in solution accuracy, convergence speed, and stability.

Foundation Support

国家自然科学基金资助项目(61673258,61075115)
上海市自然科学基金资助项目(19ZR1421600)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2025.12.0495
Publish at: Application Research of Computers Accepted Paper, Vol. 43, 2026 No. 8

Publish History

[2026-04-30] Accepted Paper

Cite This Article

郭一帆, 刘升. Nesterov动量引导的差分进化算法 [J]. 计算机应用研究, 2026, 43 (8). (2026-04-30). https://doi.org/10.19734/j.issn.1001-3695.2025.12.0495. (Guo Yifan, Liu Sheng. Nesterov momentum-guided differential evolution [J]. Application Research of Computers, 2026, 43 (8). (2026-04-30). https://doi.org/10.19734/j.issn.1001-3695.2025.12.0495. )

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  • Application Research of Computers Monthly Journal
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    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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