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Together with the NSGA-II, the SPEA2 is one of the most widely used domination-based multi-objective evolutionary algorithms. For both algorithms, the known runtime guarantees are linear in the population size; for the NSGA-II, matching…

Neural and Evolutionary Computing · Computer Science 2026-01-06 Benjamin Doerr , Martin S. Krejca , Milan Stanković

Evolutionary algorithms (EAs) are widely used for multi-objective optimization due to their population-based nature. Traditional multi-objective EAs (MOEAs) generate a large set of solutions to approximate the Pareto front, leaving a…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Tianhao Lu , Chao Bian , Chao Qian

Runtime analysis has produced many results on the efficiency of simple evolutionary algorithms like the (1+1) EA, and its analogue called GSEMO in evolutionary multiobjective optimisation (EMO). Recently, the first runtime analyses of the…

Neural and Evolutionary Computing · Computer Science 2023-06-08 Duc-Cuong Dang , Andre Opris , Bahare Salehi , Dirk Sudholt

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

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…

Software Engineering · Computer Science 2024-01-31 Vittorio Cortellessa , Daniele Di Pompeo , Vincenzo Stoico , Michele Tucci

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

Together with the NSGA-II and SMS-EMOA, the strength Pareto evolutionary algorithm 2 (SPEA2) is one of the most prominent dominance-based multi-objective evolutionary algorithms (MOEAs). Different from the NSGA-II, it does not employ the…

Neural and Evolutionary Computing · Computer Science 2025-08-12 Yasser Alghouass , Benjamin Doerr , Martin S. Krejca , Mohammed Lagmah

This article addresses theory in evolutionary many-objective optimization and focuses on the role of crossover operators. The advantages of using crossover are hardly understood and rigorous runtime analyses with crossover are lagging far…

Neural and Evolutionary Computing · Computer Science 2025-07-17 Andre Opris

This paper conducts the first rigorous runtime analysis of the SMS-EMOA for many-objective optimization. To this aim, we first propose a many-objective counterpart of the bi-objective OJZJ benchmark. We prove that SMS-EMOA computes the full…

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

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

The paper presents a new balanced selection operator applied to the proposed Balanced Non-dominated Tournament Genetic Algorithm (B-NTGA) that actively uses archive to solve multi- and many-objective NP-hard combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2024-10-15 Michał Antkiewicz , Paweł B. Myszkowski

We propose an algorithm and a new method to tackle the classification problems. We propose a multi-output neural tree (MONT) algorithm, which is an evolutionary learning algorithm trained by the non-dominated sorting genetic algorithm…

Neural and Evolutionary Computing · Computer Science 2022-02-21 Varun Ojha , Giuseppe Nicosia

In this paper, two multi-objective optimization frameworks in two variants (i.e., NSGA-III-ARM-V1, NSGA-III-ARM-V2; and MOEAD-ARM-V1, MOEAD-ARM-V2) are proposed to find association rules from transactional datasets. The first framework uses…

Neural and Evolutionary Computing · Computer Science 2020-03-23 Shaik Tanveer Ul Huq , Vadlamani Ravi

Recent theoretical works have shown that the NSGA-II can have enormous difficulties to solve problems with more than two objectives. In contrast, algorithms like the NSGA-III or SMS-EMOA, differing from the NSGA-II only in the secondary…

Neural and Evolutionary Computing · Computer Science 2024-08-20 Weijie Zheng , Yao Gao , Benjamin Doerr

In recent years, a theoretical understanding has rapidly advanced regarding how popular multi-objective evolutionary algorithms (MOEAs) can optimize many-objective problems. However, the benefits of using crossover in many-objective…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Andre Opris

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

In single-objective optimization, it is well known that evolutionary algorithms also without further adjustments can tolerate a certain amount of noise in the evaluation of the objective function. In contrast, this question is not at all…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Matthieu Dinot , Benjamin Doerr , Ulysse Hennebelle , Sebastian Will

Software systems continuously evolve due to new functionalities, requirements, or maintenance activities. In the context of software evolution, software refactoring has gained a strategic relevance. The space of possible software…

Software Engineering · Computer Science 2024-01-31 Vittorio Cortellessa , Daniele Di Pompeo , Michele Tucci

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

The decomposition-based multi-objective evolutionary algorithm (MOEA/D) does not directly optimize a given multi-objective function $f$, but instead optimizes $N + 1$ single-objective subproblems of $f$ in a co-evolutionary manner. It…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Benjamin Doerr , Martin S. Krejca , Noé Weeks