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Multiprocessor task scheduling is an important and computationally difficult problem. This paper proposes a comparison study of genetic algorithm and list scheduling algorithm. Both algorithms are naturally parallelizable but have heavy…

Performance · Computer Science 2010-02-08 S. R. Vijayalakshmi , G. Padmavathi

We study the simple genetic algorithm with a ranking selection mechanism (linear ranking or tournament). We denote by $\ell$ the length of the chromosomes, by $m$ the population size, by $p_C$ the crossover probability and by $p_M$ the…

Probability · Mathematics 2014-03-24 Raphaël Cerf

Classical optimization algorithms--hill climbing, simulated annealing, population-based methods--generate candidate solutions via random perturbations. We replace the random proposal generator with an LLM agent that reasons about evaluation…

Artificial Intelligence · Computer Science 2026-03-31 Yitao Li

It was recently observed that the $(1+(\lambda,\lambda))$ genetic algorithm can comparably easily escape the local optimum of the jump functions benchmark. Consequently, this algorithm can optimize the jump function with jump size $k$ in an…

Neural and Evolutionary Computing · Computer Science 2020-06-08 Denis Antipov , Benjamin Doerr

Recent studies have shown that heavy tails can emerge in stochastic optimization and that the heaviness of the tails have links to the generalization error. While these studies have shed light on interesting aspects of the generalization…

Machine Learning · Statistics 2023-02-14 Anant Raj , Melih Barsbey , Mert Gürbüzbalaban , Lingjiong Zhu , Umut Şimşekli

We show how the characteristics of the evolutionary algorithm influence the evolvability of candidate solutions, i.e. the propensity of evolving individuals to generate better solutions as a result of genetic variation. More specifically,…

Neural and Evolutionary Computing · Computer Science 2017-12-13 Nicola Milano , Paolo Pagliuca , Stefano Nolfi

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

Genetic Algorithm is an evolutionary algorithm and a metaheuristic that was introduced to overcome the failure of gradient based method in solving the optimization and search problems. The purpose of this paper is to evaluate the impact on…

Neural and Evolutionary Computing · Computer Science 2020-10-08 Waleed Bin Owais , Iyad W. J. Alkhazendar , Dr. Mohammad Saleh

Traditionally Genetic Algorithm has been used for optimization of unimodal and multimodal functions. Earlier researchers worked with constant probabilities of GA control operators like crossover, mutation etc. for tuning the optimization in…

Neural and Evolutionary Computing · Computer Science 2021-04-20 Avijit Basak

Population-based evolutionary algorithms (EAs) have been widely applied to solve various optimization problems. The question of how the performance of a population-based EA depends on the population size arises naturally. The performance of…

Neural and Evolutionary Computing · Computer Science 2013-05-13 Jun He , Tianshi Chen , Boris Mitavskiy

The compact genetic algorithm (cGA) is one of the simplest estimation-of-distribution algorithms (EDAs). Next to the univariate marginal distribution algorithm (UMDA) -- another simple EDA -- , the cGA has been subject to extensive…

Neural and Evolutionary Computing · Computer Science 2026-03-04 Marcel Chwiałkowski , Benjamin Doerr , Martin S. Krejca

There is no proof yet of convergence of Genetic Algorithms. We do not supply it too. Instead, we present some thoughts and arguments to convince the Reader, that Genetic Algorithms are essentially bound for success. For this purpose, we…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Marek W. Gutowski

Evolutionary algorithms rely very heavily on randomized behavior. Execution speed, therefore, depends strongly on how we implement randomness, such as our choice of pseudorandom number generator, or the algorithms used to map pseudorandom…

Neural and Evolutionary Computing · Computer Science 2024-12-04 Vincent A. Cicirello

Quality-Diversity (QD) algorithms aim to discover diverse, high-performing solutions across behavioral niches. However, QD search often stagnates as incremental variation operators struggle to propagate building blocks across large…

Neural and Evolutionary Computing · Computer Science 2026-02-17 Joshua Hutchinson , J. Michael Herrmann , Simón C. Smith

While many optimization problems work with a fixed number of decision variables and thus a fixed-length representation of possible solutions, genetic programming (GP) works on variable-length representations. A naturally occurring problem…

Neural and Evolutionary Computing · Computer Science 2018-06-07 Benjamin Doerr , Timo Kötzing , J. A. Gregor Lagodzinski , Johannes Lengler

Although quantum control typically relies on greedy (local) optimization, traps (irregular critical points) in the control landscape can make optimization hard by foiling local search strategies. We demonstrate the failure of greedy…

Quantum Physics · Physics 2014-09-17 Ehsan Zahedinejad , Sophie Schirmer , Barry C. Sanders

Experience shows that typical evolutionary algorithms can cope well with stochastic disturbances such as noisy function evaluations. In this first mathematical runtime analysis of the $(1+\lambda)$ and $(1,\lambda)$ evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Denis Antipov , Benjamin Doerr , Alexandra Ivanova

A general approach to optimizing fast processes using a gender genetic algorithm is described. Its difference from the more traditional genetic algorithm it contains division the artificial population into two sexes. Male subpopulations…

Neural and Evolutionary Computing · Computer Science 2020-02-17 P. A. Golovinski , S. A. Kolodyazhnyi

We use an elementary argument building on group actions to prove that the selection-free steady state genetic algorithm analyzed by Sutton and Witt (GECCO 2019) takes an expected number of $\Omega(2^n / \sqrt n)$ iterations to find any…

Neural and Evolutionary Computing · Computer Science 2021-09-21 Benjamin Doerr

We propose a genetic algorithm (GA) based method for modifying n-best lists produced by a machine translation (MT) system. Our method offers an innovative approach to improving MT quality and identifying weaknesses in evaluation metrics.…

Computation and Language · Computer Science 2023-06-01 Josef Jon , Ondřej Bojar