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Non-dominated sorting genetic algorithm II (NSGA-II) does well in dealing with multi-objective problems. When evaluating validity of an algorithm for multi-objective problems, two kinds of indices are often considered simultaneously, i.e.…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Xiangxiang Chu , Xinjie Yu

Feature selection plays a pivotal role in the data preprocessing and model-building pipeline, significantly enhancing model performance, interpretability, and resource efficiency across diverse domains. In population-based optimization…

Machine Learning · Computer Science 2024-08-20 Sevil Zanjani Miyandoab , Shahryar Rahnamayan , Azam Asilian Bidgoli , Sevda Ebrahimi , Masoud Makrehchi

Recent theoretical works have shown that the NSGA-II efficiently computes the full Pareto front when the population size is large enough. In this work, we study how well it approximates the Pareto front when the population size is smaller.…

Neural and Evolutionary Computing · Computer Science 2025-10-06 Weijie Zheng , Benjamin Doerr

Algorithms developed for scheduling applications on heterogeneous multiprocessor system focus on asingle objective such as execution time, cost or total data transmission time. However, if more than oneobjective (e.g. execution cost and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-11 M. Rathna Devi , A. Anju

The non-dominated sorting genetic algorithm II (NSGA-II) is the most intensively used multi-objective evolutionary algorithm (MOEA) in real-world applications. However, in contrast to several simple MOEAs analyzed also via mathematical…

Neural and Evolutionary Computing · Computer Science 2023-10-11 Weijie Zheng , Benjamin Doerr

The NSGA-II is the most prominent multi-objective evolutionary algorithm (cited more than 50,000 times). Very recently, a mathematical runtime analysis has proven that this algorithm can have enormous difficulties when the number of…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Benjamin Doerr , Dimitri Korkotashvili , Martin S. Krejca

The Non-dominated Sorting Genetic Algorithm II (NSGA-II) is the most prominent multi-objective evolutionary algorithm for real-world applications. While it performs evidently well on bi-objective optimization problems, empirical studies…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Simon Wietheger , Benjamin Doerr

Non-dominated Sorting Genetic Algorithm (NSGA) has established itself as a benchmark algorithm for Multiobjective Optimization. The determination of pareto-optimal solutions is the key to its success. However the basic algorithm suffers…

Data Structures and Algorithms · Computer Science 2010-03-25 Rio G. L. D'Souza , K. Chandra Sekaran , A. Kandasamy

Feature selection is an expensive challenging task in machine learning and data mining aimed at removing irrelevant and redundant features. This contributes to an improvement in classification accuracy, as well as the budget and memory…

Machine Learning · Computer Science 2024-02-21 Sevil Zanjani Miyandoab , Shahryar Rahnamayan , Azam Asilian Bidgoli

Most optimization-based community detection approaches formulate the problem in a single or bi-objective framework. In this paper, we propose two variants of a three-objective formulation using a customized non-dominated sorting genetic…

Neural and Evolutionary Computing · Computer Science 2020-05-08 Shaik Tanveer ul Huq , Vadlamani Ravi , Kalyanmoy Deb

The non-dominated sorting genetic algorithm~II (NSGA-II) is the most popular multi-objective optimization heuristic. Recent mathematical runtime analyses have detected two shortcomings in discrete search spaces, namely, that the NSGA-II has…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Benjamin Doerr , Tudor Ivan , Martin S. Krejca

The article introduces a new mechanism for selecting individuals to a Pareto archive. It was combined with a micro-genetic algorithm and tested on several problems. The ability of this approach to produce individuals uniformly distributed…

Optimization and Control · Mathematics 2015-03-13 Jaroslav Hájek , András Szöllös , Jakub Šístek

We study a multi-objective scheduling problem on two dedicated processors. The aim is to minimize simultaneously the makespan, the total tardiness and the total completion time. This NP-hard problem requires the use of well-adapted methods.…

Data Structures and Algorithms · Computer Science 2021-01-05 Adel Kacem , Abdelaziz Dammak

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

The design of multicopter drones has remained almost the same since its inception. While conventional designs, such as the quadcopter, work well in many cases, they may not be optimal in specific environments or missions. This paper…

Robotics · Computer Science 2025-02-04 Elijah H. W. Ang , Christophe De Wagter , Guido C. H. E. de Croon

Very recently, the first mathematical runtime analyses of the multi-objective evolutionary optimizer NSGA-II have been conducted. We continue this line of research with a first runtime analysis of this algorithm on a benchmark problem…

Neural and Evolutionary Computing · Computer Science 2024-01-05 Benjamin Doerr , Zhongdi Qu

The performance of a Multiobjective Evolutionary Algorithm (MOEA) is crucially dependent on the parameter setting of the operators. The most desired control of such parameters presents the characteristic of adaptiveness, i.e., the capacity…

Neural and Evolutionary Computing · Computer Science 2013-05-23 Arthur Carvalho , Aluizio F. R. Araujo

The Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is one of the most prominent algorithms to solve multi-objective optimization problems. Recently, the first mathematical runtime guarantees have been obtained for this algorithm,…

Artificial Intelligence · Computer Science 2023-08-22 Sacha Cerf , Benjamin Doerr , Benjamin Hebras , Yakob Kahane , Simon Wietheger

The feature subset selection problem aims at selecting the relevant subset of features to improve the performance of a Machine Learning (ML) algorithm on training data. Some features in data can be inherently noisy, costly to compute,…

Neural and Evolutionary Computing · Computer Science 2022-05-04 Ayaz Ur Rehman , Anas Nadeem , Muhammad Zubair Malik

The performance of multi-objective evolutionary algorithms deteriorates appreciably in solving many-objective optimization problems which encompass more than three objectives. One of the known rationales is the loss of selection pressure…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi
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