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Bilevel optimization problems are characterized by an interactive hierarchical structure, where the upper level seeks to optimize its strategy while simultaneously considering the response of the lower level. Evolutionary algorithms are…

Neural and Evolutionary Computing · Computer Science 2024-11-07 Dejun Xu , Kai Ye , Zimo Zheng , Tao Zhou , Gary G. Yen , Min Jiang

Bilevel optimization is a field of significant theoretical and practical interest, yet solving such optimization problems remains challenging. Evolutionary methods have been employed to address these problems in the black-box setting;…

Neural and Evolutionary Computing · Computer Science 2026-04-06 Marc Ong , Youhei Akimoto

A large number of application problems involve two levels of optimization, where one optimization task is nested inside the other. These problems are known as bilevel optimization problems and have been studied by both classical…

Optimization and Control · Mathematics 2017-05-09 Ankur Sinha , Zhichao Lu , Kalyanmoy Deb , Pekka Malo

This paper presents a comprehensive review of techniques proposed in the literature for solving bilevel optimization problems encountered in various real-life applications. Bilevel optimization is an appropriate choice for hierarchical…

Optimization and Control · Mathematics 2025-11-06 Dhaval Pujara , Ankur Sinha

Bilevel optimization problems are a class of challenging optimization problems, which contain two levels of optimization tasks. In these problems, the optimal solutions to the lower level problem become possible feasible candidates to the…

Neural and Evolutionary Computing · Computer Science 2013-10-08 Ankur Sinha , Pekka Malo , Kalyanmoy Deb

Bilevel optimization, a hierarchical mathematical framework where one optimization problem is nested within another, has emerged as a powerful tool for modeling complex decision-making processes in various fields such as economics,…

Machine Learning · Computer Science 2024-12-25 Omer Ekmekcioglu , Nursen Aydin , Juergen Branke

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

Neural and Evolutionary Computing · Computer Science 2007-10-16 Leonardo Emmendorfer , Aurora Pozo

Intelligent techniques are urged to achieve automatic allocation of the computing resource in Open Radio Access Network (O-RAN), to save computing resource, increase utilization rate of them and decrease the delay. However, the existing…

Neural and Evolutionary Computing · Computer Science 2022-01-13 Gan Ruan , Leandro L. Minku , Zhao Xu , Xin Yao

Evolutionary reinforcement learning (ERL) algorithms recently raise attention in tackling complex reinforcement learning (RL) problems due to high parallelism, while they are prone to insufficient exploration or model collapse without…

Neural and Evolutionary Computing · Computer Science 2023-08-03 Junyi Wang , Yuanyang Zhu , Zhi Wang , Yan Zheng , Jianye Hao , Chunlin Chen

Dynamic optimization, for which the objective functions change over time, has attracted intensive investigations due to the inherent uncertainty associated with many real-world problems. For its robustness with respect to noise,…

Neural and Evolutionary Computing · Computer Science 2019-12-10 Xiaofen Lu , Ke Tang , Stefan Menzel , Xin Yao

Bilevel learning refers to machine learning problems that can be formulated as bilevel optimization models, where decisions are organized in a hierarchical structure. This paradigm has recently gained considerable attention in machine…

Optimization and Control · Mathematics 2026-05-05 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo , Alain Zemkoho

Evolutionary algorithms often struggle to find well converged (e.g small inverted generational distance on test problems) solutions to multi-objective optimization problems on a limited budget of function evaluations (here, a few hundred).…

Neural and Evolutionary Computing · Computer Science 2025-04-30 Christopher M. Pierce , Young-Kee Kim , Ivan Bazarov

Single-objective bilevel optimization is a specialized form of constraint optimization problems where one of the constraints is an optimization problem itself. These problems are typically non-convex and strongly NP-Hard. Recently, there…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Anuraganand Sharma

Bilevel optimization is defined as a mathematical program, where an optimization problem contains another optimization problem as a constraint. These problems have received significant attention from the mathematical programming community.…

Optimization and Control · Mathematics 2020-12-08 Ankur Sinha , Pekka Malo , Kalyanmoy Deb

Surrogate-assisted evolutionary algorithms have been widely developed to solve complex and computationally expensive multi-objective optimization problems in recent years. However, when dealing with high-dimensional optimization problems,…

Neural and Evolutionary Computing · Computer Science 2024-03-19 Guodong Chen , Jiu Jimmy Jiao , Xiaoming Xue , Zhongzheng Wang

Model-based evolutionary algorithms (EAs) adapt an underlying search model to features of the problem at hand, such as the linkage between problem variables. The performance of EAs often deteriorates as multiple modes in the fitness…

Neural and Evolutionary Computing · Computer Science 2018-10-17 S. C. Maree , T. Alderliesten , D. Thierens , P. A. N. Bosman

The search ability of an Evolutionary Algorithm (EA) depends on the variation among the individuals in the population [3, 4, 8]. Maintaining an optimal level of diversity in the EA population is imperative to ensure that progress of the EA…

Neural and Evolutionary Computing · Computer Science 2015-10-27 Maumita Bhattacharya

The development, assessment, and comparison of randomized search algorithms heavily rely on benchmarking. Regarding the domain of constrained optimization, the number of currently available benchmark environments bears no relation to the…

Neural and Evolutionary Computing · Computer Science 2018-07-27 Michael Hellwig , Hans-Georg Beyer

The application of evolutionary algorithms (EAs) to multi-objective optimization problems has been widespread. However, the EA research community has not paid much attention to large-scale multi-objective optimization problems arising from…

Neural and Evolutionary Computing · Computer Science 2024-04-11 Qi Deng , Zheng Fan , Zhi Li , Xinna Pan , Qi Kang , MengChu Zhou

Context: Evolutionary algorithms typically require a large number of evaluations (of solutions) to converge - which can be very slow and expensive to evaluate.Objective: To solve search-based software engineering (SE) problems, using fewer…

Software Engineering · Computer Science 2017-09-19 Jianfeng Chen , Vivek Nair , Tim Menzies
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