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A Particle Gradient Evolutionary Algorithm Based on Statistical Mechanics and Convergence Analysis

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High Performance Computing for Computational Science - VECPAR 2006 (VECPAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4395))

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Abstract

In this paper a particle gradient evolutionary algorithm is presented for solving complex single-objective optimization problems based on statistical mechanics theory, the principle of gradient descending, and the law of evolving chance ascending of particles. Numerical experiments show that we can easily solve complex single-objective optimization problems that are difficult to solve by using traditional evolutionary algorithms and avoid the premature phenomenon of these problems. In addition, a convergence analysis of the algorithm indicates that it can quickly converge to optimal solutions of the optimization problems. Hence this algorithm is more reliable and stable than traditional evolutionary algorithms.

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Michel Daydé José M. L. M. Palma Álvaro L. G. A. Coutinho Esther Pacitti João Correia Lopes

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© 2007 Springer Berlin Heidelberg

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Li, K., Li, W., Chen, Z., Wang, F. (2007). A Particle Gradient Evolutionary Algorithm Based on Statistical Mechanics and Convergence Analysis. In: Daydé, M., Palma, J.M.L.M., Coutinho, Á.L.G.A., Pacitti, E., Lopes, J.C. (eds) High Performance Computing for Computational Science - VECPAR 2006. VECPAR 2006. Lecture Notes in Computer Science, vol 4395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71351-7_41

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  • DOI: https://doi.org/10.1007/978-3-540-71351-7_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71350-0

  • Online ISBN: 978-3-540-71351-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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