A Novel Approach for Parameter Estimation Of Discrete Dynamical Systems Using Self-Organizing Maps

被引:0
作者
Mousazadeh, Ali [1 ]
Shekofteh, Yasser [1 ]
机构
[1] Shahid Beheshti Univ, Fac Comp Sci & Engn, Tehran, Iran
来源
2019 27TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE 2019) | 2019年
关键词
Dynamical systems; chaotic systems; parameter estimation; parameter estimator self-organizing map; logistic map;
D O I
10.1109/iraniancee.2019.8786497
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a novel approach towards parameter estimation of discrete dynamical systems with strange attractors is proposed which relies on parameter estimator self-organizing maps (PESOM). Theoretical justifications and a computational complexity analysis are presented regarding the efficiency of PESOM based cost function. Furthermore, experimental results demonstrating PESOM's superior performance compared to previously proposed cost functions such as Gaussian Mixture Model (GMM), Mean-Squared Error (MSE) and Return Map Fingerprint (RMF) are presented.
引用
收藏
页码:1024 / 1029
页数:6
相关论文
共 17 条
  • [1] [Anonymous], 2004, SYNCHRONIZATION CONT
  • [2] [Anonymous], 2000, Chaos and nonlinear dynamics: An introduction for scientists and engineers
  • [3] Bilmes JA., 1998, INT COMPUT SCI I, V4, P126
  • [4] BUNCH JR, 1974, MATH COMPUT, V28, P231, DOI 10.1090/S0025-5718-1974-0331751-8
  • [5] Cormen T. H., 2009, Introduction to algorithms, VThird
  • [6] Statistical Representation of Wind Power Ramps Using a Generalized Gaussian Mixture Model
    Cui, Mingjian
    Feng, Cong
    Wang, Zhenke
    Zhang, Jie
    [J]. IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, 2018, 9 (01) : 261 - 272
  • [7] Farebrother R.W., 1988, Linear Least Squares Computations
  • [8] Hirsch MW, 2013, DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS, 3RD EDITION, P1
  • [9] A New Cost Function for Parameter Estimation of Chaotic Systems Using Return Maps as Fingerprints
    Jafari, Sajad
    Sprott, Julien C.
    Viet-Thanh Pham
    Golpayegani, S. Mohammad Reza Hashemi
    Jafari, Amir Homayoun
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (10):
  • [10] Development of a predictive model for Clostridium difficile infection incidence in hospitals using Gaussian mixture model and Dempster-Shafer theory
    Kang, Bingyi
    Chhipi-Shrestha, Gyan
    Deng, Yong
    Mori, Julie
    Hewage, Kasun
    Sadiq, Rehan
    [J]. STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT, 2018, 32 (06) : 1743 - 1758