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
  • [21] BM algorithms for noisy data and implicit regression modelling
    Fassino, Claudia
    Moeller, Hans Michael
    Riccomagno, Eva
    50TH ANNIVERSARY OF GROEBNER BASES, 2018, 77 : 87 - 107
  • [22] Convergence properties of genetic algorithms in a wide variety of noisy environments
    Nakama, Takehiko
    Computers, Materials and Continua, 2009, 14 (01): : 35 - 60
  • [23] Convergence Properties of Genetic Algorithms in a Wide Variety of Noisy Environments
    Nakama, Takehiko
    CMC-COMPUTERS MATERIALS & CONTINUA, 2009, 14 (01): : 35 - 60
  • [24] Algorithms for seismic analysis of MDOF systems with fractional derivatives
    Singh, M. P.
    Chang, T-S
    Nandan, H.
    ENGINEERING STRUCTURES, 2011, 33 (08) : 2371 - 2381
  • [25] Using genetic algorithms to find multiple optimal solutions for modelling an ultrasonic transducer from noisy experimental data
    Ruiz, Abelardo
    Anthony, David K.
    Ramos, Antonio
    COMPUTATIONAL INTELLIGENCE IN DECISION AND CONTROL, 2008, 1 : 725 - 730
  • [27] Reconstruction of numerical derivatives from scattered noisy data
    Wei, T
    Hon, YC
    Wang, YB
    INVERSE PROBLEMS, 2005, 21 (02) : 657 - 672
  • [28] Training algorithms for fuzzy support vector machines with noisy data
    Lin, CF
    Wang, SD
    PATTERN RECOGNITION LETTERS, 2004, 25 (14) : 1647 - 1656
  • [29] Fuzzy SVM for Noisy Data: A Robust Membership Calculation Method
    Heo, Gyeongyong
    Gader, Paul
    2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 431 - 436
  • [30] Dynamic Fitness Evaluation of Genetic Algorithms in Normal Random Noisy Environments
    Li J.-H.
    Li M.
    Chen H.
    Wu J.-J.
    Tien Tzu Hsueh Pao/Acta Electronica Sinica, 2019, 47 (03): : 649 - 656