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We consider systems of recursively defined combinatorial structures. We give algorithms checking that these systems are well founded, computing generating series and providing numerical values. Our framework is an articulation of the…

Combinatorics · Mathematics 2012-12-18 Carine Pivoteau , Bruno Salvy , Michele Soria

Genetic algorithms have been widely used in many practical optimization problems. Inspired by natural selection, operators, including mutation, crossover and selection, provide effective heuristics for search and black-box optimization.…

Machine Learning · Statistics 2018-03-14 Tanmay Gangwani , Jian Peng

Working with exhaustive search on large dataset is infeasible for several reasons. Recently, developed techniques that made pattern set mining feasible by a general solver with long execution time that supports heuristic search and are…

Artificial Intelligence · Computer Science 2015-07-21 Shanjida Khatun , Hasib Ul Alam , Swakkhar Shatabda

We present a new optimization method for the group selection problem in linear regression. In this problem, predictors are assumed to have a natural group structure and the goal is to select a small set of groups that best fits the…

Methodology · Statistics 2024-04-23 Anant Mathur , Sarat Moka , Benoit Liquet , Zdravko Botev

Analyzing the computational complexity of evolutionary algorithms for binary search spaces has significantly increased their theoretical understanding. With this paper, we start the computational complexity analysis of genetic programming.…

Neural and Evolutionary Computing · Computer Science 2010-11-16 Greg Durrett , Frank Neumann , Una-May O'Reilly

Genetic algorithms have been used in recent decades to solve a broad variety of search problems. These algorithms simulate natural selection to explore a parameter space in search of solutions for a broad variety of problems. In this paper,…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Yoshio Martinez , Katya Rodriguez , Carlos Gershenson

This paper presents a new type of genetic algorithm for the set covering problem. It differs from previous evolutionary approaches first because it is an indirect algorithm, i.e. the actual solutions are found by an external decoder…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Every semigroup which is a finite disjoint union of copies of the free mono- genic semigroup (natural numbers under addition) has soluble word prob- lem and soluble membership problem. Efficient algorithms are given for both problems.

Group Theory · Mathematics 2016-12-08 Nabilah Abughazalah

In this paper, a genetic algorithm, one of the evolutionary algorithms optimization methods, is used for the first time for the problem of finding extremal binary self-dual codes. We present a comparison of the computational times between a…

Neural and Evolutionary Computing · Computer Science 2020-12-23 Adrian Korban , Serap Sahinkaya , Deniz Ustun

This paper deals with the resolution of combinatorial optimization problems, particularly those concerning the maritime transport scheduling. We are interested in the management platforms in a river port and more specifically in container…

Neural and Evolutionary Computing · Computer Science 2013-06-04 R. Kammarti , I. Ayachi , M. Ksouri , P. Borne

This paper deals with a method for solving Poisson Equation (PE) based on genetic algorithms and grammatical evolution. The method forms generations of solutions expressed in an analytical form. Several examples of PE are tested and in most…

Neural and Evolutionary Computing · Computer Science 2014-01-03 Khalid Jebari , Mohammed Madiafi , Abdelaziz El Moujahid

A generalization of recent group-theoretic matrix multiplication algorithms to an analogue of the theory of partial matrix multiplication is presented. We demonstrate that the added flexibility of this approach can in some cases improve…

Computational Complexity · Computer Science 2009-02-17 Richard Strong Bowen , Bo Chen , Hendrik Orem , Martijn van Schaardenburg

Here we propose an evolutionary algorithm that self modifies its operators at the same time that candidate solutions are evolved. This tackles convergence and lack of diversity issues, leading to better solutions. Operators are represented…

Neural and Evolutionary Computing · Computer Science 2017-12-19 Andres Felipe Cruz Salinas , Jonatan Gomez Perdomo

In this research, we investigate the possibility of applying a search strategy to genetic algorithms to explore the entire genetic tree structure. Several methods aid in performing tree searches; however, simpler algorithms such as…

Neural and Evolutionary Computing · Computer Science 2023-08-10 Akshay Hebbar

A genetic algorithm (GA) is a search-based optimization technique based on the principles of Genetics and Natural Selection. We present an algorithm which enhances the classical GA with input from quantum annealers. As in a classical GA,…

Quantum Physics · Physics 2022-09-16 Steven Abel , Luca A. Nutricati , Michael Spannowsky

Data quality on categorical attribute is a difficult problem that has not received as much attention as numerical counterpart. Our basic idea is to employ association rule for the purpose of data quality measurement. Strong rule generation…

Databases · Computer Science 2012-02-16 J. Malar Vizhi , T. Bhuvaneswari

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail

The study of quantum computation has been motivated by the hope of finding efficient quantum algorithms for solving classically hard problems. In this context, quantum algorithms by local adiabatic evolution have been shown to solve an…

Quantum Physics · Physics 2009-11-10 Jérémie Roland , Nicolas J. Cerf

In the last decade the broad scope of complex networks has led to a rapid progress. In this area a particular interest has the study of community structures. The analysis of this type of structure requires the formalization of the intuitive…

Information Retrieval · Computer Science 2009-12-07 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

Quantum Physics · Physics 2007-05-23 Tad Hogg