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Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

In the domain of multi-objective optimization, evolutionary algorithms are distinguished by their capability to generate a diverse population of solutions that navigate the trade-offs inherent among competing objectives. This has catalyzed…

Neural and Evolutionary Computing · Computer Science 2025-01-07 Yuxin Ma , Zherui Zhang , Ran Cheng , Yaochu Jin , Kay Chen Tan

Multi-objective optimization problems are ubiquitous in real-world science, engineering and design optimization problems. It is not uncommon that the objective functions are as a black box, the evaluation of which usually involve…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Ke Li , Renzhi Chen

Real-world problems are often comprised of many objectives and require solutions that carefully trade-off between them. Current approaches to many-objective optimization often require challenging assumptions, like knowledge of the…

Neural and Evolutionary Computing · Computer Science 2023-07-07 Jackson Dean , Nick Cheney

In evolutionary multiobjective optimization, effectiveness refers to how an evolutionary algorithm performs in terms of converging its solutions into the Pareto front and also diversifying them over the front. This is not an easy job,…

Neural and Evolutionary Computing · Computer Science 2022-10-26 Yani Xue , Miqing Li , Xiaohui Liu

Many real-world optimization problems can be stated in terms of submodular functions. Furthermore, these real-world problems often involve uncertainties which may lead to the violation of given constraints. A lot of evolutionary…

Neural and Evolutionary Computing · Computer Science 2024-11-04 Aneta Neumann , Frank Neumann

In recent years, multimodal multiobjective optimization algorithms (MMOAs) based on evolutionary computation have been widely studied. However, existing MMOAs are mainly tested on benchmark function sets such as the 2019 IEEE Congress on…

Neural and Evolutionary Computing · Computer Science 2024-12-05 Zhiqiu Chen , Zong-Gan Chen , Yuncheng Jiang , Zhi-Hui Zhan

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

Machine Learning · Computer Science 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

Applications · Statistics 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

Expensive multi-objective optimization problems can be found in many real-world applications, where their objective function evaluations involve expensive computations or physical experiments. It is desirable to obtain an approximate Pareto…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Xi Lin , Zhiyuan Yang , Xiaoyuan Zhang , Qingfu Zhang

In multi-task learning, multiple tasks are solved jointly, sharing inductive bias between them. Multi-task learning is inherently a multi-objective problem because different tasks may conflict, necessitating a trade-off. A common compromise…

Machine Learning · Computer Science 2019-01-14 Ozan Sener , Vladlen Koltun

Computational models are of increasing complexity and their behavior may in particular emerge from the interaction of different parts. Studying such models becomes then more and more difficult and there is a need for methods and tools…

Neural and Evolutionary Computing · Computer Science 2015-07-27 Stéphane Doncieux , Jean Liénard , Benoît Girard , Mohamed Hamdaoui , Joël Chaskalovic

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Hyperparameter optimization constitutes a large part of typical modern machine learning workflows. This arises from the fact that machine learning methods and corresponding preprocessing steps often only yield optimal performance when…

Simultaneously considering multiple objectives in machine learning has been a popular approach for several decades, with various benefits for multi-task learning, the consideration of secondary goals such as sparsity, or multicriteria…

Machine Learning · Computer Science 2024-12-04 Sebastian Peitz , Sedjro Salomon Hotegni

The decomposition-based method has been recognized as a major approach for multi-objective optimization. It decomposes a multi-objective optimization problem into several single-objective optimization subproblems, each of which is usually…

Neural and Evolutionary Computing · Computer Science 2017-04-11 Mengyuan Wu , Ke Li , Sam Kwong , Qingfu Zhang

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

Recent years have seen the rapid development of fairness-aware machine learning in mitigating unfairness or discrimination in decision-making in a wide range of applications. However, much less attention has been paid to the fairness-aware…

Optimization and Control · Mathematics 2022-07-26 Guo Yu , Lianbo Ma , Wei Du , Wenli Du , Yaochu Jin

Transfer Optimization has gained a remarkable attention from the Swarm and Evolutionary Computation community in the recent years. It is undeniable that the concepts underlying Transfer Optimization are formulated on solid grounds. However,…

Neural and Evolutionary Computing · Computer Science 2022-11-14 Eneko Osaba , Javier Del Ser , Ponnuthurai N. Suganthan