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In this paper we consider convex optimization problems with stochastic composite objective function subject to (possibly) infinite intersection of constraints. The objective function is expressed in terms of expectation operator over a sum…

Optimization and Control · Mathematics 2024-12-03 Ion Necoara , Nitesh Kumar Singh

In this paper we introduce the Ameso optimization problem, a special class of discrete optimization problems. We establish its basic properties and investigate the relation between Ameso optimization and the convex optimization. Further, we…

Optimization and Control · Mathematics 2020-09-01 Wen Chen , Odysseas Kanavetas , Michael N. Katehakis

In Evolutionary Robotics a population of solutions is evolved to optimize robots that solve a given task. However, in traditional Evolutionary Algorithms, the population of solutions tends to converge to local optima when the problem is…

Robotics · Computer Science 2020-08-06 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette

A rigorous runtime analysis of evolutionary multi-objective optimization for the classical vertex cover problem in the context of parameterized complexity analysis has been presented by Kratsch and Neumann (2013). In this paper, we extend…

Neural and Evolutionary Computing · Computer Science 2016-04-07 Mojgan Pourhassan , Feng Shi , Frank Neumann

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

Dynamic multimodal multiobjective optimization presents the dual challenge of simultaneously tracking multiple equivalent pareto optimal sets and maintaining population diversity in time-varying environments. However, existing dynamic…

Artificial Intelligence · Computer Science 2025-12-23 Li Yan , Bolun Liu , Chao Li , Jing Liang , Kunjie Yu , Caitong Yue , Xuzhao Chai , Boyang Qu

Multi- or many-objective evolutionary algorithm- s(MOEAs), especially the decomposition-based MOEAs have been widely concerned in recent years. The decomposition-based MOEAs emphasize convergence and diversity in a simple model and have…

Neural and Evolutionary Computing · Computer Science 2018-03-19 Yingyu Zhang , Bing Zeng , Yuanzhen Li , Junqing Li

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. However, theoretical results regarding the $(\mu+\lambda)$ evolutionary algorithm (EA) for combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Min Huang , Pengxiang Chen , Han Huang , Tongli He , Yushan Zhang , Zhifeng Hao

We design a class of variable metric evolution strategies well suited for high-dimensional problems. We target problems with many variables, not (necessarily) with many objectives. The construction combines two independent developments:…

Neural and Evolutionary Computing · Computer Science 2024-12-23 Tobias Glasmachers

Real world problems always have different multiple solutions. For instance, optical engineers need to tune the recording parameters to get as many optimal solutions as possible for multiple trials in the varied-line-spacing holographic…

Neural and Evolutionary Computing · Computer Science 2015-08-04 Ka-Chun Wong

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

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

Neural and Evolutionary Computing · Computer Science 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

Evolutionary optimization is a generic population-based metaheuristic that can be adapted to solve a wide variety of optimization problems and has proven very effective for combinatorial optimization problems. However, the potential of this…

Multiagent Systems · Computer Science 2020-09-03 Saaduddin Mahmud , Moumita Choudhury , Md. Mosaddek Khan , Long Tran-Thanh , Nicholas R. Jennings

In this paper, we proposed a multi-objective approach for the EEG Inverse Problem. This formulation does not need unknown parameters that involve empirical procedures. Due to the combinatorial characteristics of the problem, this…

Neural and Evolutionary Computing · Computer Science 2021-12-28 José Enrique Alvarez Iglesias , Mayrim Vega-Hernández , Eduardo Martínez-Montes

Multi-objective optimization problems whose objectives have different evaluation costs are commonly seen in the real world. Such problems are now known as multi-objective optimization problems with heterogeneous objectives (HE-MOPs). So…

Neural and Evolutionary Computing · Computer Science 2022-08-26 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

This paper considers the problem of minimizing an expectation function over a closed convex set, coupled with a {\color{black} functional or expectation} constraint on either decision variables or problem parameters. We first present a new…

Optimization and Control · Mathematics 2020-10-05 Guanghui Lan , Zhiqiang Zhou

In literature, Clustered Shortest-Path Tree Problem (CluSPT) is an NP-hard problem. Previous studies often search for an optimal solution in relatively large space. To enhance the performance of the search process, two approaches are…

Neural and Evolutionary Computing · Computer Science 2020-10-20 Phan Thi Hong Hanh , Pham Dinh Thanh , Huynh Thi Thanh Binh

Multi-objective Bayesian optimization has been widely adopted in scientific experiment design, including drug discovery and hyperparameter optimization. In practice, regulatory or safety concerns often impose additional thresholds on…

Machine Learning · Computer Science 2025-04-22 Diantong Li , Fengxue Zhang , Chong Liu , Yuxin Chen

This paper considers stochastic convex optimization problems where the objective and constraint functions involve expectations with respect to the data indices or environmental variables, in addition to deterministic convex constraints on…

Optimization and Control · Mathematics 2021-07-21 Zeeshan Akhtar , Amrit Singh Bedi , Ketan Rajawat

We study the three-dimensional Knapsack (3DK) problem, in which we are given a set of axis-aligned cuboids with associated profits and an axis-aligned cube knapsack. The objective is to find a non-overlapping axis-aligned packing (by…

Data Structures and Algorithms · Computer Science 2025-03-26 Klaus Jansen , Debajyoti Kar , Arindam Khan , K. V. N. Sreenivas , Malte Tutas