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In this article we show that the boundary of the Pareto critical set of an unconstrained multiobjective optimization problem (MOP) consists of Pareto critical points of subproblems considering subsets of the objective functions. If the…

最优化与控制 · 数学 2020-12-18 Bennet Gebken , Sebastian Peitz , Michael Dellnitz

Theoretical and empirical research on evolutionary computation methods complement each other by providing two fundamentally different approaches towards a better understanding of black-box optimization heuristics. In discrete optimization,…

神经与进化计算 · 计算机科学 2018-08-20 Carola Doerr , Furong Ye , Sander van Rijn , Hao Wang , Thomas Bäck

Maximizing a single submodular set function subject to a cardinality constraint is a well-studied and central topic in combinatorial optimization. However, finding a set that maximizes multiple functions at the same time is much less…

数据结构与算法 · 计算机科学 2025-05-16 Fabian Spaeh , Atsushi Miyauchi

In this report, we suggest nine test problems for multi-task single-objective optimization (MTSOO), each of which consists of two single-objective optimization tasks that need to be solved simultaneously. The relationship between tasks…

神经与进化计算 · 计算机科学 2017-06-13 Bingshui Da , Yew-Soon Ong , Liang Feng , A. K. Qin , Abhishek Gupta , Zexuan Zhu , Chuan-Kang Ting , Ke Tang , Xin Yao

In this paper, a new one-parameter filled function approach is developed for nonlinear multi-objective optimization. Inspired by key filled function ideas from single-objective optimization, the proposed method is adapted to the…

最优化与控制 · 数学 2026-04-01 Bikram Adhikary , Md Abu Talhamainuddin Ansary

Hyperparameter optimization and neural architecture search can become prohibitively expensive for regular black-box Bayesian optimization because the training and evaluation of a single model can easily take several hours. To overcome this,…

Recently, the property of connectedness has been claimed to give a strong motivation on the design of local search techniques for multiobjective combinatorial optimization (MOCO). Indeed, when connectedness holds, a basic Pareto local…

神经与进化计算 · 计算机科学 2012-07-20 Sébastien Verel , Arnaud Liefooghe , Jérémie Humeau , Laetitia Jourdan , Clarisse Dhaenens

Multi-objective probabilistic model checking provides a way to verify several, possibly conflicting, quantitative properties of a stochastic system. It has useful applications in controller synthesis and compositional probabilistic…

计算机科学中的逻辑 · 计算机科学 2015-03-20 Vojtech Forejt , Marta Kwiatkowska , David Parker

Design problems in industrial engineering often involve a large number of design variables with multiple objectives, under complex nonlinear constraints. The algorithms for multiobjective problems can be significantly different from the…

最优化与控制 · 数学 2013-03-27 Xin-She Yang

Optimisation algorithms are commonly compared on benchmarks to get insight into performance differences. However, it is not clear how closely benchmarks match the properties of real-world problems because these properties are largely…

神经与进化计算 · 计算机科学 2021-07-15 Koen van der Blom , Timo M. Deist , Vanessa Volz , Mariapia Marchi , Yusuke Nojima , Boris Naujoks , Akira Oyama , Tea Tušar

Dynamic multi-objective optimization (DMOO) has recently attracted increasing interest from both academic researchers and engineering practitioners, as numerous real-world applications that evolve over time can be naturally formulated as…

神经与进化计算 · 计算机科学 2026-01-06 Chang Shao , Qi Zhao , Nana Pu , Shi Cheng , Jing Jiang , Yuhui Shi

Model merging, which combines multiple models into a single model, has gained popularity in recent years. By efficiently integrating the capabilities of various models, this significantly reduces the parameter count and memory usage.…

机器学习 · 计算机科学 2025-02-11 Weiyu Chen , James Kwok

Beam parameter optimization in accelerators involves multiple, sometimes competing objectives. Condensing these individual objectives into a single figure of merit unavoidably results in a bias towards particular outcomes, in absence of…

加速器物理 · 物理学 2022-12-26 Faran Irshad , Stefan Karsch , Andreas Döpp

Automatically tuning software configuration for optimizing a single performance attribute (e.g., minimizing latency) is not trivial, due to the nature of the configuration systems (e.g., complex landscape and expensive measurement). To deal…

分布式、并行与集群计算 · 计算机科学 2021-06-03 Tao Chen , Miqing Li

Software quality estimation is a challenging and time-consuming activity, and models are crucial to face the complexity of such activity on modern software applications. In this context, software refactoring is a crucial activity within…

软件工程 · 计算机科学 2024-01-31 Vittorio Cortellessa , Daniele Di Pompeo , Vincenzo Stoico , Michele Tucci

Most black-box optimization methods require extensive hyperparameter tuning, often limiting their ability to generalize across different optimization domains. Foundation models for black-box optimization that learn optimization principles…

机器学习 · 计算机科学 2026-05-25 Aaron Klein , Herilalaina Rakotoarison , Luca Thale-Bombien , David Salinas

Multi-objective optimization problems require simultaneously optimizing two or more objective functions. Many studies have reported that the solution set of an M-objective optimization problem often forms an (M-1)-dimensional topological…

最优化与控制 · 数学 2018-12-14 Ken Kobayashi , Naoki Hamada , Akiyoshi Sannai , Akinori Tanaka , Kenichi Bannai , Masashi Sugiyama

We study a general scalarization approach via utility functions in multi-objective optimization. It consists of maximizing utility which is obtained from the objectives' bargaining with regard to a disagreement reference point. The…

最优化与控制 · 数学 2024-01-26 Lorenzo Lampariello , Simone Sagratella , Valerio Giuseppe Sasso , Vladimir Shikhman

In multiparty multiobjective optimization problems, solution sets are usually evaluated using classical performance metrics, aggregated across DMs. However, such mean-based evaluations may be unfair by favoring certain parties, as they…

神经与进化计算 · 计算机科学 2026-02-02 Zifan Zhao , Peilan Xu , Wenjian Luo

Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing classification loss and discrepancy in treating different…

机器学习 · 计算机科学 2022-09-16 Eric Enouen , Katja Mathesius , Sean Wang , Arielle Carr , Sihong Xie