Stochastic Convergence

Stochastic processes

1953 • 9,312 citations

Markov Chains and Stochastic Stability

1993 • 5,311 citations

Non-negative Matrices and Markov Chains

1981 • 2,877 citations

Probability with martingales

1992 • 1,628 citations

Minimization by Random Search Techniques

1981 • 1,604 citations

Simulated annealing and boltzmann machines: A stochastic approach to combinatorial optimization and neural computing

1990 • 1,511 citations

Cooling Schedules for Optimal Annealing

1988 • 1,225 citations

Threshold accepting: A general purpose optimization algorithm appearing superior to simulated annealing

1990 • 1,222 citations

Discrete Parameter Martingales

2006 • 753 citations

General Irreducible Markov Chains and Non-Negative Operators.

1985 • 649 citations

Finite Markov Processes and Their Applications.

1981 • 597 citations

Filtering for stochastic processes with applications to guidance

1968 • 563 citations

Theory of genetic algorithms

2001 • 485 citations

Modeling genetic algorithms with Markov chains

1992 • 444 citations

Parallel recombinative simulated annealing: A genetic algorithm

1995 • 315 citations

Convergence theorems for a class of simulated annealing algorithms on ℝ^d

1992 • 291 citations

A Markov chain analysis on simple genetic algorithms

1995 • 249 citations

Convergence properties of some multi-objective evolutionary algorithms

2002 • 226 citations

Global convergence of genetic algorithms: A markov chain analysis

1991 • 225 citations

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

1998 • 195 citations

On the convergence of multiobjective evolutionary algorithms

1999 • 183 citations

Convergence of evolutionary algorithms in general search spaces

2002 • 172 citations

On Set-Based Multiobjective Optimization

2009 • 171 citations

A Markov Chain Framework for the Simple Genetic Algorithm

1993 • 162 citations

On a multi-objective evolutionary algorithm and its convergence to the Pareto set

2002 • 150 citations

Dependence with complete connections and its applications

1990 • 143 citations

An evolutionary algorithm for integer programming

1994 • 130 citations

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

2003 • 128 citations

Convergence results for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>λ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-SA-ES using the theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>ϕ</mml:mi></mml:math>-irreducible Markov chains

2005 • 121 citations

Algorithmic analysis of a basic evolutionary algorithm for continuous optimization

2007 • 112 citations

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

1994 • 109 citations

Self-adaptive mutations may lead to premature convergence

2001 • 109 citations

Genetic algorithms and simulated annealing: a marriage proposal

2002 • 95 citations

On the convergence rates of genetic algorithms

1999 • 91 citations

Evolutionary Search under Partially Ordered Fitness Sets

2001 • 82 citations

Stability and positive supermartingales

1965 • 78 citations

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

1998 • 75 citations

Simulated annealing process in general state space

1991 • 74 citations

Evolutionary search for minimal elements in partially ordered finite sets

1998 • 71 citations

Conditions for the convergence of evolutionary algorithms

2001 • 64 citations

Linear analysis of genetic algorithms

1998 • 56 citations

Convergence of non-elitist strategies

2002 • 54 citations

A Genetic Algorithm for Parallel Simulated Annealing.

1992 • 53 citations

A Markov Chain Analysis on A Genetic Algorithm

1993 • 51 citations

Analysis of Convergence of an Evolutionary Algorithm with Self-Adaptation using a Stochastic Lyapunov function

2003 • 50 citations

Global convergence for evolution strategies in spherical problems: some simple proofs and difficulties

2003 • 48 citations

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

2011 • 45 citations

Convergence properties of stochastic optimization procedures

1984 • 45 citations

On the Convergence of Statistical Search

1976 • 31 citations

Convergence of stochastic search algorithms to gap-free pareto front approximations

2007 • 27 citations

Effects of 1-Greedy $\mathcal{S}$ -Metric-Selection on Innumerably Large Pareto Fronts

2009 • 18 citations

Genetic algorithms: Minimal conditions for convergence

1998 • 17 citations

Fine-grained parallel genetic algorithm:a global convergence criterion

1999 • 16 citations

Transition Functions for Evolutionary Algorithms on Continuous State-space

2006 • 5 citations

Auf der Zufallssuche basierende Evolutionsprozesse

1978 • 3 citations

Analysis of a Non-Generational Mutationless Evolutionary Algorithm for Separable Fitness Functions

2005 • 2 citations