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

来源：

NEURAL COMPUTATION | 1998年 / 10卷 / 01期

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

页码：19 / 23

页数：5

共 50 条

[1] ON THE ORDERING CONDITIONS FOR SELF-ORGANIZING MAPS
BUDINICH, M
TAYLOR, JG
[J]. NEURAL COMPUTATION, 1995, 7 (02) : 284 - 289
[2] Graph multidimensional scaling with self-organizing maps
Bonabeau, E
[J]. INFORMATION SCIENCES, 2002, 143 (1-4) : 159 - 180
[3] ON A MEASURE OF ORDERING IN SELF-ORGANIZING MAPS AND ITS APPLICATION
Hoshino, Mitsuhiro
Kimura, Yutaka
Kaku, Ikou
[J]. ICIM 2010: PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON INDUSTRIAL MANAGEMENT, 2010, : 587 - 591
[4] SELF-ORGANIZING MAPS - ORDERING, CONVERGENCE PROPERTIES AND ENERGY FUNCTIONS
ERWIN, E
OBERMAYER, K
SCHULTEN, K
[J]. BIOLOGICAL CYBERNETICS, 1992, 67 (01) : 47 - 55
[5] Connection between self-organizing maps and metric multidimensional scaling
Yin, Hujun
[J]. 2007 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-6, 2007, : 1025 - 1030
[6] Limitations of self-organizing maps for vector quantization and multidimensional scaling
Flexer, A
[J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 9: PROCEEDINGS OF THE 1996 CONFERENCE, 1997, 9 : 445 - 451
[7] Self-Organizing Maps to Evaluate Multidimensional Trajectories of Shrinkage in Spain
Ruiz-Varona, Ana
Lacasta, Javier
Nogueras-Iso, Javier
[J]. ISPRS INTERNATIONAL JOURNAL OF GEO-INFORMATION, 2022, 11 (02)
[8] Self-Organizing Maps
Matera, F
[J]. SUBSTANCE USE & MISUSE, 1998, 33 (02) : 365 - 381
[9] Ordering process of self-organizing maps improved by asymmetric neighborhood function
Takaaki Aoki
Kaiichiro Ota
Koji Kurata
Toshio Aoyagi
[J]. Cognitive Neurodynamics, 2009, 3 : 9 - 15
[10] Ordering process of Self-Organizing Maps improved by asymmetric neighborhood function
Aoki, Takaaki
Ota, Kaiichiro
Kurata, Koji
Aoyagi, Toshio
[J]. NEURAL INFORMATION PROCESSING, PART I, 2008, 4984 : 426 - +

← 1 2 3 4 5 →