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
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 50 条
  • [31] A Causal Model Using Self-Organizing Maps
    Chung, Younjin
    Takatsuka, Masahiro
    NEURAL INFORMATION PROCESSING, PT II, 2015, 9490 : 591 - 600
  • [32] Exploration of document collections with self-organizing maps: A novel approach to similarity representation
    Merkl, D
    PRINCIPLES OF DATA MINING AND KNOWLEDGE DISCOVERY, 1997, 1263 : 101 - 111
  • [33] A NOVEL BACKGROUND SUBTRACTION APPROACH BASED ON MULTI LAYERED SELF-ORGANIZING MAPS
    Gemignani, Giorgio
    Rozza, Alessandro
    2015 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP), 2015, : 462 - 466
  • [34] Fault Severity Estimation in Rotating Mechanical Systems Using Feature Based Fusion and Self-Organizing Maps
    Moshou, Dimitrios
    Kateris, Dimitrios
    Sawalhi, Nader
    Loutridis, Spyridon
    Gravalos, Ioannis
    ARTIFICIAL NEURAL NETWORKS-ICANN 2010, PT II, 2010, 6353 : 410 - +
  • [35] SOM of SOMs: Self-organizing map which maps a group of self-organizing maps
    Furukawa, T
    ARTIFICIAL NEURAL NETWORKS: BIOLOGICAL INSPIRATIONS - ICANN 2005, PT 1, PROCEEDINGS, 2005, 3696 : 391 - 396
  • [36] Robust adaptive learning approach to self-organizing maps
    Hameed, Alaa Ali
    Karlik, Bekir
    Salman, Mohammad Shukri
    Eleyan, Gulden
    KNOWLEDGE-BASED SYSTEMS, 2019, 171 : 25 - 36
  • [37] An Alternative Approach for Binary and Categorical Self-Organizing Maps
    Santana, Alessandra
    Morais, Alessandra
    Quiles, Marcos G.
    2017 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2017, : 2604 - 2610
  • [38] A faster dynamic convergency approach for self-organizing maps
    Jamil, Akhtar
    Hameed, Alaa Ali
    Orman, Zeynep
    COMPLEX & INTELLIGENT SYSTEMS, 2023, 9 (01) : 677 - 696
  • [39] A faster dynamic convergency approach for self-organizing maps
    Akhtar Jamil
    Alaa Ali Hameed
    Zeynep Orman
    Complex & Intelligent Systems, 2023, 9 : 677 - 696
  • [40] Self-organizing dynamical systems theory and analytic psychotherapy
    Rubenfeld, S
    DYNAMISCHE PSYCHIATRIE, 2003, 36 (1-2): : 60 - 72