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We investigate a family of $(\mu+\lambda)$ Genetic Algorithms (GAs) which creates offspring either from mutation or by recombining two randomly chosen parents. By scaling the crossover probability, we can thus interpolate from a fully…

Neural and Evolutionary Computing · Computer Science 2021-02-16 Furong Ye , Hao Wang , Carola Doerr , Thomas Bäck

Some genes can change their relative locations in a genome. Thus for different individuals of the same species, the orders of genes might be different. Such jumping genes are called transposons. A practical problem is to determine…

Genomics · Quantitative Biology 2022-09-02 Yue Wang

There are many combinatorial optimization problems whose solutions are best represented by permutations. The classic traveling salesperson seeks an optimal ordering over a set of cities. Scheduling problems often seek optimal orderings of…

Neural and Evolutionary Computing · Computer Science 2023-11-27 Vincent A. Cicirello

One of the main and largely unexplored challenges in evolving the weights of neural networks using genetic algorithms is to find a sensible crossover operation between parent networks. Indeed, naive crossover leads to functionally damaged…

Neural and Evolutionary Computing · Computer Science 2020-11-17 Thomas Uriot , Dario Izzo

In this paper we propose a crossover operator for evolutionary algorithms with real values that is based on the statistical theory of population distributions. The operator is based on the theoretical distribution of the values of the genes…

Neural and Evolutionary Computing · Computer Science 2011-09-13 N. García-Pedrajas , C. Hervás-Martínez , D. Ortiz-Boyer

The performance of most evolutionary metaheuristic algorithms relays on various operatives. One of them is the crossover operator, which is divided into two types: application dependent and application independent crossover operators. These…

Neural and Evolutionary Computing · Computer Science 2022-05-17 Aso M. Aladdin , Tarik A. Rashid

Gene expression programming, a genotype/phenotype genetic algorithm (linear and ramified), is presented here for the first time as a new technique for the creation of computer programs. Gene expression programming uses character linear…

Artificial Intelligence · Computer Science 2007-05-23 Candida Ferreira

This communication describes a representation of images as a set of edges characterized by their position and orientation. This representation allows the comparison of two images and the computation of their similarity. The first step in…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Joel Le Roux , Philippe Chaurand , Mickael Urrutia

Genome rearrangements are events in which large blocks of DNA exchange pieces during evolution. The analysis of such events is a tool for understanding evolutionary genomics, based on finding the minimum number of rearrangements to…

Computational Complexity · Computer Science 2025-04-29 Luís Cunha , Thiago Lopes , Arnaud Mary

Inspired by Fisher's geometric approach to study beneficial mutations, we analyse probabilities of beneficial mutation and crossover recombination of strings in a general Hamming space with arbitrary finite alphabet. Mutations and…

Populations and Evolution · Quantitative Biology 2025-06-18 Roman V. Belavkin

Genetic algorithm includes some parameters that should be adjusting so that the algorithm can provide positive results. Crossover operators play very important role by constructing competitive Genetic Algorithms (GAs). In this paper, the…

Neural and Evolutionary Computing · Computer Science 2012-03-15 Otman Abdoun , Jaafar Abouchabaka

Premature convergence is one of the important issues while using Genetic Programming for data modeling. It can be avoided by improving population diversity. Intelligent genetic operators can help to improve the population diversity.…

Neural and Evolutionary Computing · Computer Science 2013-04-15 Hardik M. Parekh , Vipul K. Dabhi

The $(1+(\lambda,\lambda))$ genetic algorithm is a bright example of an evolutionary algorithm which was developed based on the insights from theoretical findings. This algorithm uses crossover, and it was shown to asymptotically outperform…

Neural and Evolutionary Computing · Computer Science 2020-05-12 Anton Bassin , Maxim Buzdalov

We introduce the notion of crossings and nestings of a permutation. We compute the generating function of permutations with a fixed number of weak exceedances, crossings and nestings. We link alignments and permutation patterns to these…

Combinatorics · Mathematics 2007-05-23 Sylvie Corteel

The longest arc-preserving common subsequence problem is an NP-hard combinatorial optimization problem from the field of computational biology. This problem finds applications, in particular, in the comparison of arc-annotated Ribonucleic…

Artificial Intelligence · Computer Science 2017-02-02 Christian Blum , Maria J. Blesa

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

Pedigrees, or family trees, are graphs of family relationships that are used to study inheritance. A fundamental problem in computational biology is to find, for a pedigree with $n$ individuals genotyped at every site, a set of…

Data Structures and Algorithms · Computer Science 2016-02-16 Bonnie Kirkpatrick

An optimal recombination operator for two parent solutions provides the best solution among those that take the value for each variable from one of the parents (gene transmission property). If the solutions are bit strings, the offspring of…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Francisco Chicano , Gabriela Ochoa , Darrell Whitley , Renato Tinós

It is always a hot and difficult point to improve the accuracy of convolutional neural network model and speed up its convergence. Based on the idea of small world network, a random edge adding algorithm is proposed to improve the…

Neural and Evolutionary Computing · Computer Science 2020-09-01 Xuanyu Shu , Jin Zhang , Sen Tian , Sheng chen , Lingyu Chen

We construct an involution on set partitions which keeps track of the numbers of crossings, nestings and alignments of two edges. We derive then the symmetric distribution of the numbers of crossings and nestings in partitions, which…

Combinatorics · Mathematics 2023-02-02 Anisse Kasraoui , Jiang Zeng