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Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

The $(1+(\lambda,\lambda))$ genetic algorithm is a recently proposed single-objective evolutionary algorithm with several interesting properties. We show that its main working principle, mutation with a high rate and crossover as repair…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Benjamin Doerr , Omar El Hadri , Adrien Pinard

Many optimization tasks have to be handled in noisy environments, where we cannot obtain the exact evaluation of a solution but only a noisy one. For noisy optimization tasks, evolutionary algorithms (EAs), a kind of stochastic…

Artificial Intelligence · Computer Science 2013-11-21 Chao Qian , Yang Yu , Zhi-Hua Zhou

Evolutionary algorithms (EA), a class of stochastic search methods based on the principles of natural evolution, have received widespread acclaim for their exceptional performance in various real-world optimization problems. While…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Yanjie Song , Yutong Wu , Yangyang Guo , Ran Yan , P. N. Suganthan , Yue Zhang , Witold Pedrycz , Swagatam Das , Rammohan Mallipeddi , Oladayo Solomon Ajani. Qiang Feng

Context: Evolutionary algorithms typically require a large number of evaluations (of solutions) to converge - which can be very slow and expensive to evaluate.Objective: To solve search-based software engineering (SE) problems, using fewer…

Software Engineering · Computer Science 2017-09-19 Jianfeng Chen , Vivek Nair , Tim Menzies

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is widely accepted as a robust derivative-free continuous optimization algorithm for non-linear and non-convex optimization problems. CMA-ES is well known to be almost…

Neural and Evolutionary Computing · Computer Science 2014-06-12 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag , Nikolaus Hansen

Evolutionary algorithms (EAs) have been well acknowledged as a promising paradigm for solving optimisation problems with multiple conflicting objectives in the sense that they are able to locate a set of diverse approximations of Pareto…

Neural and Evolutionary Computing · Computer Science 2016-06-17 Jianyong Sun , Hu Zhang , Aimin Zhou , Qingfu Zhang

Evolutionary algorithms excel in solving complex optimization problems, especially those with multiple objectives. However, their stochastic nature can sometimes hinder rapid convergence to the global optima, particularly in scenarios…

Neural and Evolutionary Computing · Computer Science 2024-05-10 Zeyi Wang , Songbai Liu , Jianyong Chen , Kay Chen Tan

Constrained submodular optimization problems play a key role in the area of combinatorial optimization as they capture many NP-hard optimization problems. So far, Pareto optimization approaches using multi-objective formulations have been…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Frank Neumann , Günter Rudolph

It may seem very intuitive that for the maximization of the OneMax problem $\OM(x):=\sum_{i=1}^n{x_i}$ the best that an elitist unary unbiased search algorithm can do is to store a best so far solution, and to modify it with the operator…

Neural and Evolutionary Computing · Computer Science 2021-01-18 Nathan Buskulic , Carola Doerr

Evolutionary algorithms (EAs), simulating the evolution process of natural species, are used to solve optimization problems. Crossover (also called recombination), originated from simulating the chromosome exchange phenomena in zoogamy…

Neural and Evolutionary Computing · Computer Science 2012-06-06 Yang Yu , Chao Qian , Zhi-Hua Zhou

Elitism, which constructs the new population by preserving best solutions out of the old population and newly-generated solutions, has been a default way for population update since its introduction into multi-objective evolutionary…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Zimin Liang , Miqing Li , Per Kristian Lehre

In this article a tool for the analysis of population-based EAs is used to derive asymptotic upper bounds on the optimization time of the algorithm solving Royal Roads problem, a test function with plateaus of fitness. In addition to this,…

Neural and Evolutionary Computing · Computer Science 2013-09-03 Aram Ter-Sarkisov , Stephen Marsland

Large Language Models (LLMs) have unveiled remarkable capabilities in understanding and generating both natural language and code, but LLM reasoning is prone to hallucination and struggle with complex, novel scenarios, often getting stuck…

Neural and Evolutionary Computing · Computer Science 2025-05-12 Antonio Jimeno Yepes , Pieter Barnard

Quantum inspired Evolutionary Algorithms were proposed more than a decade ago and have been employed for solving a wide range of difficult search and optimization problems. A number of changes have been proposed to improve performance of…

Artificial Intelligence · Computer Science 2019-09-18 Nija Mani , Gursaran , Ashish Mani

We propose a novel evolutionary algorithm on bit vectors which derives from the principles of information theory. The information-theoretic evolutionary algorithm (it-EA) iteratively updates a search distribution with two parameters, the…

Neural and Evolutionary Computing · Computer Science 2023-04-13 Arnaud Berny

Genetic algorithms have unique properties which are useful when applied to black box optimization. Using selection, crossover, and mutation operators, candidate solutions may be obtained without the need to calculate a gradient. In this…

Quantum Physics · Physics 2022-06-23 David Von Dollen , Sheir Yarkoni , Daniel Weimer , Florian Neukart , Thomas Bäck

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

It has been observed that some working principles of evolutionary algorithms, in particular, the influence of the parameters, cannot be understood from results on the asymptotic order of the runtime, but only from more precise results. In…

Neural and Evolutionary Computing · Computer Science 2018-10-18 Benjamin Doerr , Carola Doerr , Jing Yang

We introduce a new benchmark problem called Deceptive Leading Blocks (DLB) to rigorously study the runtime of the Univariate Marginal Distribution Algorithm (UMDA) in the presence of epistasis and deception. We show that simple Evolutionary…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Per Kristian Lehre , Phan Trung Hai Nguyen