Title :
A Method of Nonlinear Manifold Classification using ISOMAP
Author :
Lifang, Wu ; Ning, Wei ; Juanjuan, Wang ; Yue, Guo
Author_Institution :
Sch. of Electron. Inf. & Control Eng., Beijing Univ. of Technol.
fDate :
Aug. 30 2006-Sept. 1 2006
Abstract :
In this paper, a new nonlinear classification algorithm is proposed using Isomap (isometric feature mapping). First, nonlinear dimensionality reduction algorithm is implemented using Isomap; then nonlinear mapping matrix is approximated by local linear mapping; next dimensionality reduction for all data sets is implemented by local linear mapping; finally linear classification is implemented. Experimental results confirm the efficiency of proposed algorithm
Keywords :
differential geometry; feature extraction; matrix algebra; pattern classification; isometric feature mapping; linear classification; local linear mapping; nonlinear dimensionality reduction algorithm; nonlinear manifold classification algorithm; nonlinear mapping matrix; Classification algorithms; Control engineering; Degradation; Euclidean distance; Feature extraction; Geophysics computing; Linear approximation; Manifolds; Pattern classification; Pattern recognition;
Conference_Titel :
Innovative Computing, Information and Control, 2006. ICICIC '06. First International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7695-2616-0
DOI :
10.1109/ICICIC.2006.11
