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It is well known that evolutionary algorithms (EAs) achieve peak performance only when their parameters are suitably tuned to the given problem. Even more, it is known that the best parameter values can change during the optimization…

Neural and Evolutionary Computing · Computer Science 2020-06-22 Arina Buzdalova , Carola Doerr , Anna Rodionova

Estimation of Distribution Algorithms (EDAs) are one branch of Evolutionary Algorithms (EAs) in the broad sense that they evolve a probabilistic model instead of a population. Many existing algorithms fall into this category. Analogous to…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Benjamin Doerr , Weijie Zheng

Mutation has traditionally been regarded as an important operator in evolutionary algorithms. In particular, there have been many experimental studies which showed the effectiveness of adapting mutation rates for various static optimization…

Artificial Intelligence · Computer Science 2011-06-06 Tianshi Chen , Yunji Chen , Ke Tang , Guoliang Chen , Xin Yao

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

Neural and Evolutionary Computing · Computer Science 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

Baldwinian and Lamarckian evolution have existed for a long time in evolutionary algorithms (EAs) without ever dominating the academic literature or practical applications. In this work, we use modern empirical and theoretical methods to…

Neural and Evolutionary Computing · Computer Science 2026-05-28 Inès Benito , Johannes F. Lutzeyer , Benjamin Doerr

The all-pairs shortest path problem is the first non-artificial problem for which it was shown that adding crossover can significantly speed up a mutation-only evolutionary algorithm. Recently, the analysis of this algorithm was refined and…

Neural and Evolutionary Computing · Computer Science 2015-03-20 Benjamin Doerr , Daniel Johannsen , Timo Kötzing , Frank Neumann , Madeleine Theile

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 one-fifth rule and its generalizations are a classical parameter control mechanism in discrete domains. They have also been transferred to control the offspring population size of the $(1, \lambda)$-EA. This has been shown to work very…

Neural and Evolutionary Computing · Computer Science 2024-04-19 Johannes Lengler , Konstantin Sturm

The majority of research on estimation-of-distribution algorithms (EDAs) concentrates on pseudo-Boolean optimization and permutation problems, leaving the domain of EDAs for problems in which the decision variables can take more than two…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Firas Ben Jedidia , Benjamin Doerr , Martin S. Krejca

This paper presents a first mathematical runtime analysis of PAES-25, an enhanced version of the original Pareto Archived Evolution Strategy (PAES) coming from the study of telecommunication problems over two decades ago to understand the…

Neural and Evolutionary Computing · Computer Science 2025-07-08 Andre Opris

In the first runtime analysis of an estimation-of-distribution algorithm (EDA) on the multi-modal jump function class, Hasen\"ohrl and Sutton (GECCO 2018) proved that the runtime of the compact genetic algorithm with suitable parameter…

Neural and Evolutionary Computing · Computer Science 2019-06-26 Benjamin Doerr

It is generally accepted that populations are useful for the global exploration of multi-modal optimisation problems. Indeed, several theoretical results are available showing such advantages over single-trajectory search heuristics. In…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Dogan Corus , Pietro S. Oliveto

Explaining to what extent the real power of genetic algorithms lies in the ability of crossover to recombine individuals into higher quality solutions is an important problem in evolutionary computation. In this paper we show how the…

Neural and Evolutionary Computing · Computer Science 2017-08-28 Dogan Corus , Pietro S. Oliveto

Evolutionary algorithms (EAs) are increasingly implemented on graphics processing units (GPUs) to leverage parallel processing capabilities for enhanced efficiency. However, existing studies largely emphasize the raw speedup obtained by…

Neural and Evolutionary Computing · Computer Science 2026-01-28 Xinmeng Yu , Tao Jiang , Ran Cheng , Yaochu Jin , Kay Chen Tan

The performance of deep neural networks, such as Deep Belief Networks formed by Restricted Boltzmann Machines (RBMs), strongly depends on their training, which is the process of adjusting their parameters. This process can be posed as an…

Neural and Evolutionary Computing · Computer Science 2019-07-16 S. Ivvan Valdez , Alfonso Rojas-Domínguez

The performance of base-line Evolutionary Algorithms (EAs) on combinatorial problems has been studied rigorously. From the theoretical viewpoint, the literature extensively investigates the linear problems, while the theoretical analysis of…

Neural and Evolutionary Computing · Computer Science 2019-07-02 Vahid Roostapour , Mojgan Pourhassan , Frank Neumann

Known as two cornerstones of problem solving by search, exploitation and exploration are extensively discussed for implementation and application of evolutionary algorithms (EAs). However, only a few researches focus on evaluation and…

Neural and Evolutionary Computing · Computer Science 2020-01-30 Yu Chen , Jun He

Building a surrogate model of an objective function has shown to be effective to assist evolutionary algorithms (EAs) to solve real-world complex optimisation problems which involve either computationally expensive numerical simulations or…

Neural and Evolutionary Computing · Computer Science 2020-02-11 Xiaoran Ruan , Ke Li , Bilel Derbel , Arnaud Liefooghe

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

Two meta-evolutionary optimization strategies described in this paper accelerate the convergence of evolutionary programming algorithms while still retaining much of their ability to deal with multi-modal problems. The strategies, called…

Neural and Evolutionary Computing · Computer Science 2009-03-26 Ted Dunning