Calculation of fractional derivatives of noisy data with genetic algorithms

被引:0
|
作者
J. A. Tenreiro Machado
机构
[1] Institute of Engineering of Porto,Department of Electrical Engineering
来源
Nonlinear Dynamics | 2009年 / 57卷
关键词
Fractional derivatives; Fractional calculus; Genetic algorithms; Numerical differentiation;
D O I
暂无
中图分类号
学科分类号
摘要
This paper addresses the calculation of derivatives of fractional order for non-smooth data. The noise is avoided by adopting an optimization formulation using genetic algorithms (GA). Given the flexibility of the evolutionary schemes, a hierarchical GA composed by a series of two GAs, each one with a distinct fitness function, is established.
引用
收藏
页码:253 / 260
页数:7
相关论文
共 50 条
  • [1] Calculation of fractional derivatives of noisy data with genetic algorithms
    Tenreiro Machado, J. A.
    NONLINEAR DYNAMICS, 2009, 57 (1-2) : 253 - 260
  • [2] Genetic algorithms with noisy fitness
    Zhai, W
    Kelly, P
    Gong, WB
    MATHEMATICAL AND COMPUTER MODELLING, 1996, 23 (11-12) : 131 - 142
  • [3] Scheduling of Genetic Algorithms in a Noisy Environment
    Aizawa, Akiko N.
    Wah, Benjamin W.
    EVOLUTIONARY COMPUTATION, 1994, 2 (02) : 97 - 122
  • [4] Modelling noisy blast furnace data using genetic algorithms and neural networks
    Helle, M
    Pettersson, F
    Chakraborti, N
    Saxén, H
    STEEL RESEARCH INTERNATIONAL, 2006, 77 (02) : 75 - 81
  • [5] Competitive algorithms for the clustering of noisy data
    Yang, TN
    Wang, SD
    FUZZY SETS AND SYSTEMS, 2004, 141 (02) : 281 - 299
  • [6] Dynamic control of genetic algorithms in a noisy environment
    Aizawa, Akiko N.
    Wah, Benjamin W.
    Australian Electronics Engineering, 1994, 27 (02):
  • [7] Discrete Lanczos derivatives of noisy data
    McDevitt, Timothy J.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (07) : 916 - 931
  • [8] Effects of Crossover Operators on Genetic Algorithms for the Extraction of Solar Cell Parameters from Noisy Data
    Tebbal, Ibtissam
    Hamida, Abdelhak Ferhat
    ENGINEERING TECHNOLOGY & APPLIED SCIENCE RESEARCH, 2023, 13 (03) : 10630 - 10637
  • [9] On extending the complex FastICA algorithms to noisy data
    Ruan, Zongli
    Li, Liping
    Qian, Guobing
    NEURAL NETWORKS, 2014, 60 : 194 - 202
  • [10] Comparison of Machine Learning Algorithms on Noisy Data
    Oreski, Dijana
    Visnjic, Dunja
    Kadoic, Nikola
    CENTRAL EUROPEAN CONFERENCE ON INFORMATION AND INTELLIGENT SYSTEMS, CECIIS, 2023, : 383 - 389