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Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

Neural networks are gaining popularity in the reinforcement learning field due to the vast number of successfully solved complex benchmark problems. In fact, artificial intelligence algorithms are, in some cases, able to overcome human…

Neural and Evolutionary Computing · Computer Science 2019-04-25 Mikel Malagon , Josu Ceberio

In this paper, we propose an interactive genetic algorithm for solving multi-objective combinatorial optimization problems under preference imprecision. More precisely, we consider problems where the decision maker's preferences over…

Artificial Intelligence · Computer Science 2023-11-13 Nawal Benabbou , Cassandre Leroy , Thibaut Lust

The application of genetic algorithms (GAs) to many optimization problems in organizations often results in good performance and high quality solutions. For successful and efficient use of GAs, it is not enough to simply apply simple GAs…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Maroun Bercachi , Philippe Collard , Manuel Clergue , Sébastien Verel

We present an empirical study of a range of evolutionary algorithms applied to various noisy combinatorial optimisation problems. There are three sets of experiments. The first looks at several toy problems, such as OneMax and other linear…

Neural and Evolutionary Computing · Computer Science 2023-04-05 Aishwaryaprajna , Jonathan E. Rowe

We study the problem of estimating the covariance matrix of a high-dimensional distribution when a small constant fraction of the samples can be arbitrarily corrupted. Recent work gave the first polynomial time algorithms for this problem…

Machine Learning · Computer Science 2019-06-12 Yu Cheng , Ilias Diakonikolas , Rong Ge , David Woodruff

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

Evolutionary algorithms (EAs) are general-purpose optimisers that come with several parameters like the sizes of parent and offspring populations or the mutation rate. It is well known that the performance of EAs may depend drastically on…

Neural and Evolutionary Computing · Computer Science 2022-10-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

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

This work proposes a new edge about the Chaotic Genetic Algorithm (CGA) and the importance of the entropy in the initial population. Inspired by chaos theory the CGA uses chaotic maps to modify the stochastic parameters of Genetic Algorithm…

Neural and Evolutionary Computing · Computer Science 2019-03-13 Guillermo Fuertes , Manuel Vargas , Miguel Alfaro , Rodrigo Soto-Garrido , Jorge Sabattin , Maria Alejandra Peralta

The goal of this project is to develop the Genetic Algorithms (GA) for solving the Schaffer F6 function in fewer than 4000 function evaluations on a total of 30 runs. Four types of Genetic Algorithms (GA) are presented - Generational GA…

Neural and Evolutionary Computing · Computer Science 2019-11-04 Alison Jenkins , Vinika Gupta , Alexis Myrick , Mary Lenoir

Parameterized runtime analysis seeks to understand the influence of problem structure on algorithmic runtime. In this paper, we contribute to the theoretical understanding of evolutionary algorithms and carry out a parameterized analysis of…

Neural and Evolutionary Computing · Computer Science 2012-10-10 Andrew M. Sutton , Frank Neumann

Robust covariance estimation is the following, well-studied problem in high dimensional statistics: given $N$ samples from a $d$-dimensional Gaussian $\mathcal{N}(\boldsymbol{0}, \Sigma)$, but where an $\varepsilon$-fraction of the samples…

Data Structures and Algorithms · Computer Science 2020-06-25 Jerry Li , Guanghao Ye

In this work, we present an efficient algorithm for multivariate mean value estimation. Our algorithm outperforms previous work by polylog factors and nearly saturates the known lower bound. More formally, given a random vector $\vec{X}$ of…

Quantum Physics · Physics 2025-05-30 Letian Tang

As evolutionary algorithms (EAs) are general-purpose optimization algorithms, recent theoretical studies have tried to analyze their performance for solving general problem classes, with the goal of providing a general theoretical…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian

In this paper we consider word equations with one variable (and arbitrary many appearances of it). A recent technique of recompression, which is applicable to general word equations, is shown to be suitable also in this case. While in…

Formal Languages and Automata Theory · Computer Science 2014-01-23 Artur Jeż

We present the first parameterized analysis of a standard (1+1) Evolutionary Algorithm on a distribution of vertex cover problems. We show that if the planted cover is at most logarithmic, restarting the (1+1) EA every $O(n \log n)$ steps…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Jack Kearney , Frank Neumann , Andrew M. Sutton

Estimation-of-distribution algorithms (EDAs) are optimization algorithms that learn a distribution on the search space from which good solutions can be sampled easily. A key parameter of most EDAs is the sample size (population size). If…

Neural and Evolutionary Computing · Computer Science 2023-11-06 Weijie Zheng , Benjamin Doerr

In this paper, we propose a novel iterative encoding algorithm for DNA storage to satisfy both the GC balance and run-length constraints using a greedy algorithm. DNA strands with run-length more than three and the GC balance ratio far from…

Information Theory · Computer Science 2023-01-04 Seong-Joon Park , Yongwoo Lee , Jong-Seon No

We propose a gate-based Quantum Genetic Algorithm (QGA) for real-valued global optimization. In this model, individuals are represented by quantum circuits whose measurement outcomes are decoded into real-valued vectors through binary…

Quantum Physics · Physics 2025-11-10 Leandro C. Souza , Laurent E. Dardenne , Renato Portugal