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Due to the more complicated population dynamics of the NSGA-II, none of the existing runtime guarantees for this algorithm is accompanied by a non-trivial lower bound. Via a first mathematical understanding of the population dynamics of the…

Neural and Evolutionary Computing · Computer Science 2023-03-16 Benjamin Doerr , Zhongdi Qu

Parameter control has succeeded in accelerating the convergence process of evolutionary algorithms. While empirical and theoretical studies have shed light on the behavior of algorithms for single-objective optimization, little is known…

Neural and Evolutionary Computing · Computer Science 2023-05-09 Furong Ye , Frank Neumann , Jacob de Nobel , Aneta Neumann , Thomas Bäck

Evolutionary multi-objective optimization (EMO) algorithms have been demonstrated to be effective in solving multi-criteria decision-making problems. In real-world applications, analysts often employ several algorithms concurrently and…

Neural and Evolutionary Computing · Computer Science 2024-08-09 Yansong Huang , Zherui Zhang , Ao Jiao , Yuxin Ma , Ran Cheng

A class of metaheuristic techniques called estimation-of-distribution algorithms (EDAs) are employed in optimization as more sophisticated substitutes for traditional strategies like evolutionary algorithms. EDAs generally drive the search…

Neural and Evolutionary Computing · Computer Science 2024-04-18 Sumit Adak , Carsten Witt

Some experimental investigations have shown that evolutionary algorithms (EAs) are efficient for the minimum label spanning tree (MLST) problem. However, we know little about that in theory. As one step towards this issue, we theoretically…

Neural and Evolutionary Computing · Computer Science 2014-09-11 Xinsheng Lai , Yuren Zhou , Jun He , Jun Zhang

Problems defined on binary decision spaces have been intensively studied in the theory of multi-objective evolutionary algorithms (MOEAs). In contrast, no mathematical runtime analyses exist so far for MOEAs dealing with decision variables…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Mingfeng Li , Zheng Cheng , Weijie Zheng , Benjamin Doerr

The evolutionary diversity optimization aims at finding a diverse set of solutions which satisfy some constraint on their fitness. In the context of multi-objective optimization this constraint can require solutions to be Pareto-optimal. In…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Denis Antipov , Aneta Neumann , Frank Neumann

Multi-objective evolutionary algorithms (MOEAs) are among the most widely and successfully applied optimizers for multi-objective problems. However, to store many optimal trade-offs (the Pareto optima) at once, MOEAs are typically run with…

Neural and Evolutionary Computing · Computer Science 2025-09-03 Benjamin Doerr , Martin S. Krejca , Simon Wietheger

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

The NSGA-II is one of the most prominent algorithms to solve multi-objective optimization problems. Despite numerous successful applications, several studies have shown that the NSGA-II is less effective for larger numbers of objectives. In…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Weijie Zheng , Benjamin Doerr

The $(1+(\lambda,\lambda))$ genetic algorithm is a recently proposed single-objective evolutionary algorithm with several interesting properties. We show that its main working principle, mutation with a high rate and crossover as repair…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Benjamin Doerr , Omar El Hadri , Adrien Pinard

Evolutionary neural architecture search (ENAS) is a key part of evolutionary machine learning, which commonly utilizes evolutionary algorithms (EAs) to automatically design high-performing deep neural architectures. During past years,…

Neural and Evolutionary Computing · Computer Science 2025-06-09 Zeqiong Lv , Chao Qian , Yun Liu , Jiahao Fan , Yanan Sun

Evolutionary Algorithms (EAs) have become the most popular tool for solving widely-existed multi-objective optimization problems. In Multi-Objective EAs (MOEAs), there is increasing interest in using an archive to store non-dominated…

Neural and Evolutionary Computing · Computer Science 2025-12-10 Shengjie Ren , Zimin Liang , Miqing Li , Chao Qian

Evolutionary neural architecture search (ENAS) employs evolutionary algorithms to find high-performing neural architectures automatically, and has achieved great success. However, compared to the empirical success, its rigorous theoretical…

Neural and Evolutionary Computing · Computer Science 2024-04-09 Zeqiong Lv , Chao Qian , Yanan Sun

One of the major distinguishing features of the dynamic multiobjective optimization problems (DMOPs) is the optimization objectives will change over time, thus tracking the varying Pareto-optimal front becomes a challenge. One of the…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Min Jiang , Zhongqiang Huang , Liming Qiu , Wenzhen Huang , Gary G. Yen

The advent of large language models (LLMs) such as ChatGPT has attracted considerable attention in various domains due to their remarkable performance and versatility. As the use of these models continues to grow, the importance of…

Neural and Evolutionary Computing · Computer Science 2024-01-19 Jill Baumann , Oliver Kramer

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

Runtime analysis aims at contributing to our understanding of evolutionary algorithms through mathematical analyses of their runtimes. In the context of discrete optimization problems, runtime analysis classically studies the time needed to…

Neural and Evolutionary Computing · Computer Science 2022-06-17 Maxim Buzdalov , Benjamin Doerr , Carola Doerr , Dmitry Vinokurov

NSGA-III is one of the most widely adopted algorithms for tackling many-objective optimization problems. However, its CPU-based design severely limits scalability and computational efficiency. To address the limitations, we propose…

Neural and Evolutionary Computing · Computer Science 2025-04-09 Hao Li , Zhenyu Liang , Ran Cheng

In this paper we propose a novel methodology to assist in identifying vulnerabilities in a real-world complex heterogeneous industrial control systems (ICS) using two evolutionary multiobjective optimisation (EMO) algorithms, NSGA-II and…

Cryptography and Security · Computer Science 2020-05-28 Nilufer Tuptuk , Stephen Hailes