Title
Supervised Isomap with Explicit Mapping
Abstract
Isomap is one of the recently proposed manifold learning algorithms for nonlinear dimensionality reduction. However, Isomap not only suffers from a deficiency of no explicit mapping function, which is from high dimensional space to low dimensional space, but also does not employ the class information. In this paper, a supervised version of Isomap with explicit mapping, called SE-Isomap, is proposed. In SE-Isomap, geodesic distance matrix is calculated with respect to the class label information and multidimensional scaling (MDS) with explicit transformation is adopted instead of classical MDS used in Isomap. Thanks to the existence of explicit mapping and the use of class label information, SE-Isomap can be more easily used in pattern recognition than the original ones. Experimental results on two benchmark data sets demonstrated the performance of the presented method
Year
DOI
Venue
2006
10.1109/ICICIC.2006.530
ICICIC (3)
Keywords
Field
DocType
explicit transformation,differential geometry,class label information,pattern recognition,nonlinear dimensionality reduction,learning (artificial intelligence),explicit mapping,matrix algebra,benchmark data,multidimensional scaling,manifold learning algorithm,se-isomap,class information,high dimensional space,supervised isomap,explicit mapping function,geodesic distance matrix,classical mds,low dimensional space,learning artificial intelligence,geodesic distance,manifold learning
Data set,Multidimensional scaling,Pattern recognition,Computer science,Matrix (mathematics),Artificial intelligence,Differential geometry,High dimensional space,Nonlinear dimensionality reduction,Geodesic,Machine learning,Isomap
Conference
Volume
ISBN
Citations 
3
0-7695-2616-0
11
PageRank 
References 
Authors
0.65
5
2
Name
Order
Citations
PageRank
Chun-Guang Li131017.35
Jun Guo21579137.24