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Theory of Genetic Algorithms II: models for genetic operators over the string-tensor representation of populations and convergence to global optima for arbitrary fitness function under scaling

Data up to Jan 2025

Published2003
Citations128
References80

Total Citations Per Year

Abstract

References (80)

Genetic algorithms in search, optimization, and machine learning

1989 • 49,726 citations

Adaptation in natural and artificial systems

1975 • 36,178 citations

Genetic Algorithms

2002 • 16,635 citations

Functional analysis

1973 • 14,327 citations

Genetic Algorithms + Data Structures = Evolution Programs

1992 • 11,764 citations

An Introduction to Genetic Algorithms

1996 • 11,007 citations

Non-negative Matrices and Markov Chains

1981 • 2,877 citations

Evolutionsstrategie : Optimierung technischer Systeme nach Prinzipien der biologischen Evolution

1973 • 2,491 citations

Simulated annealing

1993 • 2,432 citations

A Comparative Analysis of Selection Schemes Used in Genetic Algorithms

1991 • 2,341 citations

Genetic Algorithms in Search, Optimization & Machine Learning

1989 • 2,318 citations

Banach Lattices and Positive Operators

1974 • 2,294 citations

Local Search in Combinatorial Optimization

2003 • 2,118 citations

Genetic Algorithms + Data Structures = Evolution Programs

1994 • 2,037 citations

Genetic Algorithms and Simulated Annealing

1987 • 1,783 citations

Convergence analysis of canonical genetic algorithms

1994 • 1,428 citations

Reducing bias and inefficiency in the selection algorithm

1987 • 1,378 citations

Parallel Problem Solving from Nature - PPSN VIII

2004 • 1,136 citations

Rechenberg, Ingo, Evolutionsstrategie — Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. 170 S. mit 36 Abb. Frommann-Holzboog-Verlag. Stuttgart 1973. Broschiert

1975 • 1,129 citations

Genetic and Evolutionary Computation – GECCO 2004

2004 • 931 citations

The Simple Genetic Algorithm: Foundations and Theory

1999 • 721 citations

Genetic algorithms + data structures = evolution programs (2nd, extended ed.)

1994 • 674 citations

Markov Chains -- Theory and Applications

1977 • 489 citations

Theory of genetic algorithms

2001 • 485 citations

Modeling genetic algorithms with Markov chains

1992 • 444 citations

Complex Analysis

1977 • 323 citations

Parallel recombinative simulated annealing: A genetic algorithm

1995 • 315 citations

Simple Genetic Algorithms and the Minimal, Deceptive Problem

1987 • 306 citations

On the Probability Theory of Linkage in Mendelian Heredity

1944 • 284 citations

An introduction to genetic algorithms

1997 • 254 citations

Punctuated Equilibria in Genetic Search.

1991 • 221 citations

Non-negative Matrices and Markov Chains (Springer Series in Statistics)

1981 • 220 citations

A Note on Boltzmann Tournament Selection for Genetic Algorithms and Population-Oriented Simulated Annealing.

1990 • 205 citations

Finite Markov Chain Results in Evolutionary Computation: A Tour d'Horizon

1998 • 195 citations

Simulated annealing: An introduction

1989 • 172 citations

Schema Theory for Genetic Programming with One-Point Crossover and Point Mutation

1998 • 171 citations

A Markov Chain Framework for the Simple Genetic Algorithm

1993 • 162 citations

Progress in Population Genetics and Human Evolution

1997 • 158 citations

Rough Large Deviation Estimates for Simulated Annealing: Application to Exponential Schedules

1992 • 144 citations

Markov Chains — Theory and Applications

1977 • 140 citations

An evolutionary algorithm for integer programming

1994 • 130 citations

An Executable Model of a Simple Genetic Algorithm

1993 • 126 citations

A Simulated Annealing Like Convergence Theory for the Simple Genetic Algorithm

1991 • 126 citations

ASYMPTOTIC CONVERGENCE PROPERTIES OF GENETIC ALGORITHMS AND EVOLUTIONARY PROGRAMMING: ANALYSIS AND EXPERIMENTS

1994 • 109 citations

Untitled

2001 • 95 citations

On the convergence rates of genetic algorithms

1999 • 91 citations

An analysis of reproduction and crossover in a binary-coded genetic algorithm

1987 • 79 citations

Stopping Criteria for Finite Length Genetic Algorithms

1996 • 79 citations

Asymptotic convergence of genetic algorithms

1998 • 75 citations

A further result on the Markov chain model of genetic algorithms and its application to a simulated annealing-like strategy

1998 • 75 citations

The Simple Genetic Algorithm and the Walsh Transform: Part I, Theory

1998 • 68 citations

The effect of extensive use of the mutation operator on generalization in genetic programming using sparse data sets

1996 • 57 citations

Linear analysis of genetic algorithms

1998 • 56 citations

A Genetic Algorithm for Parallel Simulated Annealing.

1992 • 53 citations

Ergodicity in Parametric Nonstationary Markov Chains: An Application to Simulated Annealing Methods

1987 • 53 citations

Finite Markov chain results in evolutionary computation

1998 • 53 citations

The Simple Genetic Algorithm and the Walsh Transform: Part II, The Inverse

1998 • 49 citations

Effective Degrees of Freedom in Genetic Algorithms and the Block Hypothesis.

1997 • 46 citations

Toward an extrapolation of the simulated annealing convergence theory onto the simple genetic algorithm

2011 • 45 citations

Computational Methods for the Coalescent

1997 • 42 citations

General Cardinality Genetic Algorithms

1997 • 42 citations

Random heuristic search

1999 • 38 citations

Genetic algorithms: bridging the convergence gap

1999 • 38 citations

Convergence in Evolutionary Programs with Self-Adaptation

2001 • 36 citations

Finite Markov Chain Models of an Alternative Selection Strategy for the Genetic Algorithm.

1993 • 33 citations

An Analysis of Two-Parent Recombinations for Real-Valued Chromosomes in an Infinite Population

2001 • 31 citations

Theoretical Analysis of Mutation-Adaptive Evolutionary Algorithms

2001 • 28 citations

Sharp large deviations estimates for simulated annealing algorithms

1991 • 23 citations

An Analysis of Non-Binary Genetic Algorithms with Cardinality 2 υ .

1994 • 21 citations

Form Invariance and Implicit Parallelism

2001 • 21 citations

Spline interpolation with genetic algorithms

2002 • 20 citations

An Asymptotic Theory of Genetic Algorithms

1995 • 18 citations

A proof of the Vose-Liepins conjecture

1994 • 17 citations

Theory of coevolutionary genetic algorithms

2003 • 15 citations

Applications of sharp large deviations estimates to optimal cooling schedules

1991 • 11 citations

An asymptotic theory for genetic algorithms

1996 • 11 citations

The Linear Geometry of Genetic Operators with Applications to the Analysis of Genetic Drift and Genetic Algorithms Using Tournament Selection

2001 • 10 citations

Coevolutionary Convergence to Global Optima

2003 • 9 citations

Theory of Coevolutionary Genetic Algorithms

2003 • 8 citations

Optimization with genetic algorithms in multispecies environments

2004 • 5 citations

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