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The main feature of large-scale multi-objective optimization problems (LSMOP) is to optimize multiple conflicting objectives while considering thousands of decision variables at the same time. An efficient LSMOP algorithm should have the…

Neural and Evolutionary Computing · Computer Science 2021-08-10 Haokai Hong , Kai Ye , Min Jiang , Donglin Cao , Kay Chen Tan

In this paper, an evolutionary many-objective optimization algorithm based on corner solution search (MaOEA-CS) was proposed. MaOEA-CS implicitly contains two phases: the exploitative search for the most important boundary optimal solutions…

Artificial Intelligence · Computer Science 2018-06-11 Xinye Cai , Haoran Sun , Chunyang Zhu , Zhenyu Li , Qingfu Zhang

Multi-objectivization is a term used to describe strategies developed for optimizing single-objective problems by multi-objective algorithms. This paper focuses on multi-objectivizing the sum-of-the-parts combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2021-02-04 Jialong Shi , Jianyong Sun , Qingfu Zhang

Deep Optimisation (DO) combines evolutionary search with Deep Neural Networks (DNNs) in a novel way - not for optimising a learning algorithm, but for finding a solution to an optimisation problem. Deep learning has been successfully…

Machine Learning · Computer Science 2018-11-05 J. R. Caldwell , R. A. Watson , C. Thies , J. D. Knowles

The numerical optimization of continuous functions is a fundamental task in many scientific and engineering domains, ranging from mechanical design to training of artificial intelligence models. Among the most effective and widely used…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Gerardo Altamirano-Gomez , Álvaro Gallardo , Carlos Ignacio Hernández Castellanos

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

Many real-world problems are categorized as large-scale problems, and metaheuristic algorithms as an alternative method to solve large-scale problem; they need the evaluation of many candidate solutions to tackle them prior to their…

Neural and Evolutionary Computing · Computer Science 2020-09-14 Shahryar Rahnamayan , Seyed Jalaleddin Mousavirad

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

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

Coherent Ising machines (CIMs) have emerged as specialized quantum hardware for large-scale combinatorial optimization. However, for large instances that remain challenging for classical methods, some platforms support only finite-precision…

Quantum Physics · Physics 2026-03-25 Keming He , Yuehan Zhang , Hongshun Yao , Jin-Guo Liu , Xin Wang

Multi-objective orienteering problems (MO-OPs) are classical multi-objective routing problems and have received a lot of attention in the past decades. This study seeks to solve MO-OPs through a problem-decomposition framework, that is, a…

Neural and Evolutionary Computing · Computer Science 2022-06-22 Wei Liu , Rui Wang , Tao Zhang , Kaiwen Li , Wenhua Li , Hisao Ishibuchi

Molecular discovery is a multi-objective optimization problem that requires identifying a molecule or set of molecules that balance multiple, often competing, properties. Multi-objective molecular design is commonly addressed by combining…

Quantitative Methods · Quantitative Biology 2023-10-17 Jenna C. Fromer , Connor W. Coley

Optimizing conflicting molecular properties while strictly adhering to complex 3D structural constraints constitutes a challenging Constrained Multi-Objective Optimization Problem (CMOP). Traditional Evolutionary Algorithms (EAs) destroy…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Ruiqing Sun , Dawei Feng , Sen Yang , Ronghang Wang , Huaiyuan Song , Bo Ding , Yijie Wang , Huaimin Wang

Real-world design problems are a messy combination of constraints, objectives, and features. Exploring these problem spaces can be defined as a Multi-Criteria Exploration (MCX) problem, whose goals are to produce a set of diverse solutions…

Neural and Evolutionary Computing · Computer Science 2022-07-05 Adam Gaier , James Stoddart , Lorenzo Villaggi , Peter J Bentley

Usually, the systems of partial differential equations (PDEs) are discovered from observational data in the single vector equation form. However, this approach restricts the application to the real cases, where, for example, the form of the…

Neural and Evolutionary Computing · Computer Science 2021-08-13 Mikhail Maslyaev , Alexander Hvatov

The performance of multiobjective algorithms varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective algorithms, there has…

Neural and Evolutionary Computing · Computer Science 2022-07-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

Most existing studies on evolutionary multi-objective optimization focus on approximating the whole Pareto-optimal front. Nevertheless, rather than the whole front, which demands for too many points (especially in a high-dimensional space),…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Ke Li , Kalyanmoy Deb , Xin Yao

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Hormoz Shahrzad , Daniel Fink , Risto Miikkulainen

Mathematical formulations of real world optimization studies frequently present characteristics such as non-linearity, discontinuity and high complexity. This class of problems may also exhibit a high number of global minimum/maximum…

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