Title
Manifold learning of vector fields
Abstract
In this paper, vector field learning is proposed as a new application of manifold learning to vector field. We also provide a learning framework to extract significant features from vector data. Vector data containing position, direction and magnitude information is different from common point data only containing position information. The algorithm of locally linear embedding (LLE) is extended to deal with vector data. The learning ability of the extended version has been tested on synthetic data sets and experimental results demonstrate that the method is very helpful and promising. Manifold features of vector data obtained by learning methods can be used for next work such as classification, clustering, visualization, or segmentation of vectors.
Year
DOI
Venue
2006
10.1007/11759966_64
ISNN (1)
Keywords
Field
DocType
extended version,position information,vector field learning,common point data,synthetic data set,manifold feature,magnitude information,vector data,vector field,synthetic data,manifold learning
Online machine learning,Feature vector,Semi-supervised learning,Active learning (machine learning),Pattern recognition,Computer science,Learning vector quantization,Manifold alignment,Vector quantization,Artificial intelligence,Relevance vector machine,Machine learning
Conference
Volume
ISSN
ISBN
3971
0302-9743
3-540-34439-X
Citations 
PageRank 
References 
1
0.41
8
Authors
2
Name
Order
Citations
PageRank
Hongyu Li144332.34
I-Fan Shen217312.32