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The global simple evolutionary multi-objective optimizer (GSEMO) is a simple, yet often effective multi-objective evolutionary algorithm (MOEA). By only maintaining non-dominated solutions, it has a variable population size that…

Neural and Evolutionary Computing · Computer Science 2025-05-05 Benjamin Doerr , Martin Krejca , Andre Opris

While the theoretical analysis of evolutionary algorithms (EAs) has made significant progress for pseudo-Boolean optimization problems in the last 25 years, only sporadic theoretical results exist on how EAs solve permutation-based…

Neural and Evolutionary Computing · Computer Science 2022-10-07 Benjamin Doerr , Yassine Ghannane , Marouane Ibn Brahim

Large Language Models (LLMs) exhibit world knowledge and inference capabilities, making them powerful tools for various applications. This paper proposes a feedback loop mechanism that leverages these capabilities to tune Evolution…

Machine Learning · Computer Science 2024-05-21 Oliver Kramer

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

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

In the evolutionary computation research community, the performance of most evolutionary algorithms (EAs) depends strongly on their implemented coordinate system. However, the commonly used coordinate system is fixed and not well suited for…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Zhi-Zhong Liu , Yong Wang , Shengxiang Yang , Ke Tang

The analysis of randomized search heuristics on classes of functions is fundamental for the understanding of the underlying stochastic process and the development of suitable proof techniques. Recently, remarkable progress has been made in…

Neural and Evolutionary Computing · Computer Science 2011-12-16 Carsten Witt

Death has long been overlooked in evolutionary algorithms. Recent research has shown that death (when applied properly) can benefit the overall fitness of a population and can outperform sub-sections of a population that are "immortal" when…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Micah Burkhardt , Roman V. Yampolskiy

Randomized search heuristics such as evolutionary algorithms are frequently applied to dynamic combinatorial optimization problems. Within this paper, we present a dynamic model of the classic Weighted Vertex Cover problem and analyze the…

Neural and Evolutionary Computing · Computer Science 2020-01-27 Feng Shi , Frank Neumann , Jianxin Wang

The mutation process in evolution strategies has been interlinked with the normal distribution since its inception. Many lines of reasoning have been given for this strong dependency, ranging from maximum entropy arguments to the need for…

Neural and Evolutionary Computing · Computer Science 2025-04-11 Jacob de Nobel , Diederick Vermetten , Hao Wang , Anna V. Kononova , Günter Rudolph , Thomas Bäck

Alignment of Large Language Models (LLMs) typically relies on Reinforcement Learning from Human Feedback (RLHF) with gradient-based optimizers such as Proximal Policy Optimization (PPO) or Group Relative Policy Optimization (GRPO). While…

In this paper we propose a novel method for learning how algorithms perform. Classically, algorithms are compared on a finite number of existing (or newly simulated) benchmark datasets based on some fixed metrics. The algorithm(s) with the…

Data Structures and Algorithms · Computer Science 2019-11-01 Henry Wilde , Vincent Knight , Jonathan Gillard

The paradigm of automated program generation is shifting from one-shot generation to inference-time search, where Large Language Models (LLMs) function as semantic mutation operators within evolutionary loops. While effective, these systems…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Mert Cemri , Shubham Agrawal , Akshat Gupta , Shu Liu , Audrey Cheng , Qiuyang Mang , Ashwin Naren , Lutfi Eren Erdogan , Koushik Sen , Matei Zaharia , Alex Dimakis , Ion Stoica

Schemata theory, Markov chains, and statistical mechanics have been used to explain how evolutionary algorithms (EAs) work. Incremental success has been achieved with all of these methods, but each has been stymied by limitations related to…

Neural and Evolutionary Computing · Computer Science 2012-06-29 Andrew Clark

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

Evolutionary algorithms (EAs) have been widely applied to multi-objective optimization due to their population-based nature. Population update, a key component in multi-objective EAs (MOEAs), is usually performed in a greedy, deterministic…

Neural and Evolutionary Computing · Computer Science 2025-09-26 Shengjie Ren , Zimin Liang , Miqing Li , Chao Qian

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

Evolution Strategies (ES) are stochastic derivative-free optimization algorithms whose most prominent representative, the CMA-ES algorithm, is widely used to solve difficult numerical optimization problems. We provide the first rigorous…

Optimization and Control · Mathematics 2022-10-25 Cheikh Touré , Anne Auger , Nikolaus Hansen

Meta-learning, the notion of learning to learn, enables learning systems to quickly and flexibly solve new tasks. This usually involves defining a set of outer-loop meta-parameters that are then used to update a set of inner-loop…

Machine Learning · Computer Science 2023-03-17 Chris Lu , Sebastian Towers , Jakob Foerster

The research area of evolutionary multiobjective optimization (EMO) is reaching better understandings of the properties and capabilities of EMO algorithms, and accumulating much evidence of their worth in practical scenarios. An urgent…

Neural and Evolutionary Computing · Computer Science 2009-08-24 David Corne , Joshua Knowles