Title
Isometric Multi-Manifolds Learning
Abstract
Isometric feature mapping (Isomap) is a promising manifold learning method. However, Isomap fails to work on data which distribute on clusters in a single manifold or manifolds. Many works have been done on extending Isomap to multi-manifolds learning. In this paper, we first proposed a new multi-manifolds learning algorithm (M-Isomap) with help of a general procedure. The new algorithm preserves intra-manifold geodesics and multiple inter-manifolds edges precisely. Compared with previous methods, this algorithm can isometrically learn data distributed on several manifolds. Secondly, the original multi-cluster manifold learning algorithm first proposed in \cite{DCIsomap} and called D-C Isomap has been revised so that the revised D-C Isomap can learn multi-manifolds data. Finally, the features and effectiveness of the proposed multi-manifolds learning algorithms are demonstrated and compared through experiments.
Year
Venue
Keywords
2009
Clinical Orthopaedics and Related Research
pattern recognition,manifold learning
Field
DocType
Volume
Semi-supervised learning,Manifold alignment,Isometric feature mapping,Artificial intelligence,Nonlinear dimensionality reduction,Manifold,Geodesic,Mathematics,Machine learning,Isomap
Journal
abs/0912.0
Citations 
PageRank 
References 
0
0.34
11
Authors
3
Name
Order
Citations
PageRank
Mingyu Fan1345.60
Hong Qiao21147110.95
Bo Zhang325321.61