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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

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

We have introduced two crossover operators, MMX-BLXexploit and MMX-BLXexplore, for simultaneously solving multiple feature/subset selection problems where the features may have numeric attributes and the subset sizes are not predefined.…

Neural and Evolutionary Computing · Computer Science 2014-08-07 Arnab Roy , J. David Schaffer , Craig B. Laramee

We present two novel domain-independent genetic operators that harness the capabilities of deep learning: a crossover operator for genetic algorithms and a mutation operator for genetic programming. Deep Neural Crossover leverages the…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Eliad Shem-Tov , Moshe Sipper , Achiya Elyasaf

This contribution is concerned with mathematical models for the dynamics of the genetic composition of populations evolving under recombination. Recombination is the genetic mechanism by which two parent individuals create the mixed type of…

Populations and Evolution · Quantitative Biology 2011-01-12 Ellen Baake

The genetic algorithm includes some parameters that should be adjusted, so as to get reliable results. Choosing a representation of the problem addressed, an initial population, a method of selection, a crossover operator, mutation…

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

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

The genetic algorithm (GA) is an optimization and search technique based on the principles of genetics and natural selection. A GA allows a population composed of many individuals to evolve under specified selection rules to a state that…

Neural and Evolutionary Computing · Computer Science 2016-08-14 Yılmaz Kaya , Murat Uyar , Ramazan Tek\D{j}n

Analyzing the worst-case performance of deep neural networks against input perturbations amounts to solving a large-scale non-convex optimization problem, for which several past works have proposed convex relaxations as a promising…

Machine Learning · Computer Science 2022-07-11 Shaoru Chen , Eric Wong , J. Zico Kolter , Mahyar Fazlyab

We propose a new iterative procedure to optimize the restart for meta-heuristic algorithms to solve combinatorial optimization, which uses independent algorithm executions. The new procedure consists of either adding new executions or…

Optimization and Control · Mathematics 2017-09-20 Davide Palmigiani , Giovanni Sebastiani

Crossover and mutation are the two main operators that lead to new solutions in evolutionary approaches. In this article, a new method of performing the crossover phase is presented. The problem of choice is evolutionary decision tree…

Neural and Evolutionary Computing · Computer Science 2021-05-11 Maciej Świechowski

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

We consider the computational complexity of producing the best possible offspring in a crossover, given two solutions of the parents. The crossover operators are studied on the class of Boolean linear programming problems, where the Boolean…

Neural and Evolutionary Computing · Computer Science 2007-05-28 Anton Eremeev

We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

Optimization and Control · Mathematics 2024-06-21 Sajad Zandi , Mehdi Korki

The performance of different mutation operators is usually evaluated in conjunc-tion with specific parameter settings of genetic algorithms and target problems. Most studies focus on the classical genetic algorithm with different parameters…

Neural and Evolutionary Computing · Computer Science 2016-06-03 Chun Liu , Andreas Kroll

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

In spite of the recent quick growth of the Evolutionary Multi-objective Optimization (EMO) research field, there has been few trials to adapt the general variation operators to the particular context of the quest for the Pareto-optimal set.…

Artificial Intelligence · Computer Science 2025-10-20 Olga Roudenko , Marc Schoenauer

Dynamic programming (DP) solves a variety of structured combinatorial problems by iteratively breaking them down into smaller subproblems. In spite of their versatility, DP algorithms are usually non-differentiable, which hampers their use…

Machine Learning · Statistics 2018-02-21 Arthur Mensch , Mathieu Blondel

Interactive Evolutionary Computation (IEC) provides a powerful framework for optimizing subjective criteria such as human preferences and aesthetics, yet it suffers from a fundamental limitation: in high-dimensional generative…

Artificial Intelligence · Computer Science 2026-04-17 Chisatao Kumada , Satoru Hiwa , Tomoyuki Hiroyasu

A hybrid evolutionary algorithm with importance sampling method is proposed for multi-dimensional optimization problems in this paper. In order to make use of the information provided in the search process, a set of visited solutions is…

Neural and Evolutionary Computing · Computer Science 2013-08-26 Guanghui Huang , Zhifeng Pan