Title
Fractal initialization for high-quality mapping with self-organizing maps
Abstract
Initialization of self-organizing maps is typically based on random vectors within the given input space. The implicit problem with random initialization is the overlap (entanglement) of connections between neurons. In this paper, we present a new method of initialization based on a set of self-similar curves known as Hilbert curves. Hilbert curves can be scaled in network size for the number of neurons based on a simple recursive (fractal) technique, implicit in the properties of Hilbert curves. We have shown that when using Hilbert curve vector (HCV) initialization in both classical SOM algorithm and in a parallel-growing algorithm (ParaSOM), the neural network reaches better coverage and faster organization.
Year
DOI
Venue
2010
10.1007/s00521-010-0413-5
Neural Computing and Applications
Keywords
DocType
Volume
parallel-growing algorithm,neural network,hilbert curvesself-organizing maps � initializationneural networks,Fractal initialization,high-quality mapping,Hilbert curve,better coverage,random initialization,classical SOM algorithm,network size,self-organizing map,Hilbert curve vector,implicit problem,random vector
Journal
19
Issue
ISSN
Citations 
7
1433-3058
7
PageRank 
References 
Authors
0.61
18
4
Name
Order
Citations
PageRank
Iren Valova113625.44
Derek Beaton2475.52
Alexandre Buer3282.04
Daniel MacLean411311.82