Finite Markov chain analysis of genetic algorithms
Proceedings of the Second International Conference on Genetic Algorithms on Genetic algorithms and their application
Fuzzy logic, neural networks, and soft computing
Communications of the ACM
Evolution and Optimum Seeking: The Sixth Generation
Evolution and Optimum Seeking: The Sixth Generation
System Identification through Simulated Evolution: A Machine Learning Approach to Modeling
System Identification through Simulated Evolution: A Machine Learning Approach to Modeling
Numerical Optimization of Computer Models
Numerical Optimization of Computer Models
Handbook of Evolutionary Computation
Handbook of Evolutionary Computation
Journal of Global Optimization
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Biostatistical Analysis (5th Edition)
Biostatistical Analysis (5th Edition)
Differential evolution algorithm with strategy adaptation for global numerical optimization
IEEE Transactions on Evolutionary Computation
JADE: adaptive differential evolution with optional external archive
IEEE Transactions on Evolutionary Computation
Accelerating Evolutionary Computation with Elite Obtained in Projected One-Dimensional Spaces
ICGEC '11 Proceedings of the 2011 Fifth International Conference on Genetic and Evolutionary Computing
INCOS '11 Proceedings of the 2011 Third International Conference on Intelligent Networking and Collaborative Systems
Chaotic sequences to improve the performance of evolutionary algorithms
IEEE Transactions on Evolutionary Computation
IEEE Transactions on Evolutionary Computation
Enhanced Differential Evolution With Adaptive Strategies for Numerical Optimization
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Improving differential evolution algorithm by synergizing different improvement mechanisms
ACM Transactions on Autonomous and Adaptive Systems (TAAS)
Convergence analysis of canonical genetic algorithms
IEEE Transactions on Neural Networks
On Evolutionary Exploration and Exploitation
Fundamenta Informaticae
Triple and quadruple comparison-based interactive differential evolution and differential evolution
Proceedings of the twelfth workshop on Foundations of genetic algorithms XII
Comparative Study on Fitness Landscape Approximation with Fourier Transform
ICGEC '12 Proceedings of the 2012 Sixth International Conference on Genetic and Evolutionary Computing
Exploration and exploitation in evolutionary algorithms: A survey
ACM Computing Surveys (CSUR)
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We propose a novel population-based optimization algorithm, Chaotic Evolution (CE), which uses ergodic property of chaos to implement exploration and exploitation functions of an evolutionary algorithm. CE introduces a mathematical mechanism into an iterative process of evolution and simulates ergodic motion in a search space with a simple principle. A control parameter, direction factor rate, is proposed to guide search direction in CE. It is easy to extend its search capability by using different chaotic system in CE algorithm framework. The scalability of CE is higher than that of some other evolutionary computation algorithms. A series of comparative evaluations and investigations is conducted to analyse characteristics of the proposal. Our proposal can obtain better optimization performance by comparing with differential evolution and some of its variants. We point out that the chaos theory is used not only to describe and explain a non-linear system, but also to implement a variety of optimization algorithms based on its ergodic property.