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Cooperative Coevolution (CC) effectively addresses Large-Scale Global Optimization (LSGO) via decomposition but struggles with the emerging class of Heterogeneous LSGO (H-LSGO) problems arising from real-world applications, where…

Neural and Evolutionary Computing · Computer Science 2026-04-03 Wenjie Qiu , Zixin Wang , Hongyu Fang , Zeyuan Ma , Yue-Jiao Gong

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

Large-scale overlapping problems are prevalent in practical engineering applications, and the optimization challenge is significantly amplified due to the existence of shared variables. Decomposition-based cooperative coevolution (CC)…

Neural and Evolutionary Computing · Computer Science 2024-04-17 Maojiang Tian , Mingke Chen , Wei Du , Yang Tang , Yaochu Jin

In recent years, to improve the evolutionary algorithms used to solve optimization problems involving a large number of decision variables, many attempts have been made to simplify the problem solution space of a given problem for the…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Liang Feng , Qingxia Shang , Yaqing Hou , Kay Chen Tan , Yew-Soon Ong

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen

Given the ubiquity of non-separable optimization problems in real worlds, in this paper we analyze and extend the large-scale version of the well-known cooperative coevolution (CC), a divide-and-conquer black-box optimization framework, on…

Neural and Evolutionary Computing · Computer Science 2024-10-14 Qiqi Duan , Chang Shao , Guochen Zhou , Haobin Yang , Qi Zhao , Yuhui Shi

Recent research in Cooperative Coevolution~(CC) have achieved promising progress in solving large-scale global optimization problems. However, existing CC paradigms have a primary limitation in that they require deep expertise for selecting…

Machine Learning · Computer Science 2025-04-25 Hongshu Guo , Wenjie Qiu , Zeyuan Ma , Xinglin Zhang , Jun Zhang , Yue-Jiao Gong

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

Large-scale itinerary planning is a variant of the traveling salesman problem, aiming to determine an optimal path that maximizes the collected points of interest (POIs) scores while minimizing travel time and cost, subject to travel…

Artificial Intelligence · Computer Science 2025-06-16 Ziyu Zhang , Peilan Xu , Yuetong Sun , Yuhui Shi , Wenjian Luo

The balance between convergence and diversity is a key issue of evolutionary multi-objective optimization. The recently proposed stable matching-based selection provides a new perspective to handle this balance under the framework of…

Neural and Evolutionary Computing · Computer Science 2017-01-26 Mengyuan Wu , Ke Li , Sam Kwong , Yu Zhou , Qingfu Zhang

Cooperative optimization is a new way for finding global optima of complicated functions of many variables. It has some important properties not possessed by any conventional optimization methods. It has been successfully applied in solving…

Information Theory · Computer Science 2007-07-13 Xiaofei Huang

We propose a new decomposition framework for continuous nonlinear constrained two-stage optimization, where both first- and second-stage problems can be nonconvex. A smoothing technique based on an interior-point formulation renders the…

Optimization and Control · Mathematics 2026-03-02 Yuchen Lou , Xinyi Luo , Andreas Wächter , Ermin Wei

Cooperative co-evolution (CC) algorithms, based on the divide-and-conquer strategy, have emerged as the predominant approach to solving large-scale global optimization (LSGO) problems. The efficiency and accuracy of the grouping stage…

Optimization and Control · Mathematics 2024-03-11 Maojiang Tian , Minyang Chen , Wei Du , Yang Tang , Yaochu Jin , Gary G. Yen

We address the unsupervised learning of several interconnected problems in low-level vision: single view depth prediction, camera motion estimation, optical flow, and segmentation of a video into the static scene and moving regions. Our key…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Anurag Ranjan , Varun Jampani , Lukas Balles , Kihwan Kim , Deqing Sun , Jonas Wulff , Michael J. Black

This work presents a unified framework that combines global approximations with locally built models to handle challenging nonconvex and nonsmooth composite optimization problems, including cases involving extended real-valued functions. We…

Optimization and Control · Mathematics 2026-02-19 Welington de Oliveira , Johannes O. Royset

Numerical methods of approximate solution of the Cauchy problem for coupled systems of evolution equations are considered. Separating simpler subproblems for individual components of the solution achieves simplification of the problem at a…

Numerical Analysis · Mathematics 2024-08-27 Petr N. Vabishchevich

Multi-modal multi-objective optimization problems (MMMOPs) have multiple subsets within the Pareto-optimal Set, each independently mapping to the same Pareto-Front. Prevalent multi-objective evolutionary algorithms are not purely designed…

Neural and Evolutionary Computing · Computer Science 2021-02-04 Monalisa Pal , Sanghamitra Bandyopadhyay

Differential Evolution (DE) is recognized as one of the most powerful optimizers in the evolutionary algorithm (EA) family. Many DE variants were proposed in recent years, but significant differences in performances between them are hardly…

Neural and Evolutionary Computing · Computer Science 2019-01-08 Sheng Xin Zhang , Li Ming Zheng , Kit Sang Tang , Shao Yong Zheng , Wing Shing Chan

Existing results on decomposition methods and algorithms for nonconvex problems are minimal. Parallel decomposition algorithms do not exist for nonconvex problems with coupling nonlinear equality constraints. Besides, decomposition…

Optimization and Control · Mathematics 2026-05-18 Yiqing Zhai , Ying Cui , Danny H. K. Tsang

Bilevel optimization has been widely used in decision-making process. However, there still lacks an efficient algorithm to determine an optimal solution of a bilevel optimization problem, especially for a large-size problem. To bridge the…

Optimization and Control · Mathematics 2016-05-18 Xuan Liu , Zuyi Li
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