Runtime analysis of the SMS-EMOA for many-objective optimization

W Zheng, B Doerr - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
The widely used multiobjective optimizer NSGA-II was recently proven to have considerable
difficulties in many-objective optimization. In contrast, experimental results in the literature …

A mathematical runtime analysis of the Non-dominated Sorting Genetic Algorithm III (NSGA-III)

S Wietheger, B Doerr - Proceedings of the Genetic and Evolutionary …, 2024 - dl.acm.org
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 …

Stochastic population update can provably be helpful in multi-objective evolutionary algorithms

C Bian, Y Zhou, M Li, C Qian - arXiv preprint arXiv:2306.02611, 2023 - arxiv.org
Evolutionary algorithms (EAs) have been widely and successfully applied to solve multi-
objective optimization problems, due to their nature of population-based search. Population …

The first proven performance guarantees for the Non-Dominated Sorting Genetic Algorithm II (NSGA-II) on a combinatorial optimization problem

S Cerf, B Doerr, B Hebras, Y Kahane… - arXiv preprint arXiv …, 2023 - arxiv.org
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 analyses of NSGA-III on many-objective problems

A Opris, DC Dang, F Neumann, D Sudholt - Proceedings of the Genetic …, 2024 - dl.acm.org
NSGA-II and NSGA-III are two of the most popular evolutionary multi-objective algorithms
used in practice. While NSGA-II is used for few objectives such as 2 and 3, NSGA-III is …

[HTML][HTML] Mathematical runtime analysis for the non-dominated sorting genetic algorithm II (NSGA-II)

W Zheng, B Doerr - Artificial Intelligence, 2023 - Elsevier
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 …

Towards running time analysis of interactive multi-objective evolutionary algorithms

T Lu, C Bian, C Qian - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
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 …

A first running time analysis of the Strength Pareto Evolutionary Algorithm 2 (SPEA2)

S Ren, C Bian, M Li, C Qian - … on Parallel Problem Solving from Nature, 2024 - Springer
Evolutionary algorithms (EAs) have emerged as a predominant approach for addressing
multi-objective optimization problems. However, the theoretical foundation of multi-objective …

Already moderate population sizes provably yield strong robustness to noise

D Antipov, B Doerr, A Ivanova - Proceedings of the Genetic and …, 2024 - dl.acm.org
Experience shows that typical evolutionary algorithms can cope well with stochastic
disturbances such as noisy function evaluations. In this first mathematical runtime analysis of …

Illustrating the efficiency of popular evolutionary multi-objective algorithms using runtime analysis

DC Dang, A Opris, D Sudholt - Proceedings of the Genetic and …, 2024 - dl.acm.org
Runtime analysis has recently been applied to popular evolutionary multi-objective (EMO)
algorithms like NSGA-II in order to establish a rigorous theoretical foundation. However …