Ordering of self-organizing maps in multidimensional cases

被引:7
|
作者
Huang, GB [1 ]
Babri, HA [1 ]
Li, HT [1 ]
机构
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 2263, Singapore
关键词
D O I
10.1162/089976698300017872
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
It has been proved that in one-dimensional cases, the weights of Kohonen's self-organizing maps (SOM) will become ordered with probability 1; once the weights are ordered, they cannot become disordered in future training. It is difficult to analyze Kohonen's SOMs in multidimensional cases; however, it has been conjectured that similar results seem to be obtainable in multidimensional cases. In this note, we show that in multidimensional cases, even though the weights are ordered at some time, it is possible that they become disordered in the future.
引用
收藏
页码:19 / 23
页数:5
相关论文
共 50 条
  • [31] Grey self-organizing feature maps
    Hu, YC
    Chen, RS
    Hsu, YT
    Tzeng, GH
    NEUROCOMPUTING, 2002, 48 : 863 - 877
  • [32] Lateral interactions in self-organizing maps
    Viviani, R
    ARTIFICIAL NEURAL NETWORKS - ICANN 2002, 2002, 2415 : 920 - 926
  • [33] Initialization Issues in Self-organizing Maps
    Valova, Iren
    Georgiev, George
    Gueorguieva, Natacha
    Olson, Jacob
    COMPLEX ADAPTIVE SYSTEMS: EMERGING TECHNOLOGIES FOR EVOLVING SYSTEMS: SOCIO-TECHNICAL, CYBER AND BIG DATA, 2013, 20 : 52 - 57
  • [34] A Survey of Hardware Self-Organizing Maps
    Jovanovic, Slavisa
    Hikawa, Hiroomi
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 34 (11) : 8154 - 8173
  • [35] Self-Organizing Maps with supervised layer
    Platon, Ludovic
    Zehraoui, Farida
    Tahi, Fariza
    2017 12TH INTERNATIONAL WORKSHOP ON SELF-ORGANIZING MAPS AND LEARNING VECTOR QUANTIZATION, CLUSTERING AND DATA VISUALIZATION (WSOM), 2017, : 161 - 168
  • [36] Fault tolerance of self-organizing maps
    Girau, Bernard
    Torres-Huitzil, Cesar
    NEURAL COMPUTING & APPLICATIONS, 2020, 32 (24): : 17977 - 17993
  • [37] Self-organizing maps for representing structures
    Farkas, I
    STATE OF THE ART IN COMPUTATIONAL INTELLIGENCE, 2000, : 27 - 32
  • [39] Incremental learning with self-organizing maps
    Gepperth, Alexander
    Karaoguz, Cem
    2017 12TH INTERNATIONAL WORKSHOP ON SELF-ORGANIZING MAPS AND LEARNING VECTOR QUANTIZATION, CLUSTERING AND DATA VISUALIZATION (WSOM), 2017, : 153 - 160
  • [40] Self-organizing maps for texture classification
    Nedyalko Petrov
    Antoniya Georgieva
    Ivan Jordanov
    Neural Computing and Applications, 2013, 22 : 1499 - 1508