Principal curves for nonlinear feature extraction and classification

1998 ◽  
Author(s):  
Kui-yu Chang ◽  
Joydeep Ghosh
Keyword(s):  
Feature Extraction ◽  
Principal Curves ◽  
Nonlinear Feature Extraction ◽  
Nonlinear Feature

NONLINEAR FEATURE EXTRACTION AND DIMENSION REDUCTION BY POLYGONAL PRINCIPAL CURVES

2006 ◽  
Vol 20 (01) ◽  
pp. 63-78 ◽  
Author(s):  
FENG ZHANG
Keyword(s):  
Feature Extraction ◽  
Principal Component ◽  
Polygonal Line ◽  
Principal Curves ◽  
Redundancy Elimination ◽  
Feature Extraction Method ◽  
Principal Curve ◽  
Nonlinear Feature Extraction ◽  
Nonlinear Feature ◽  
Nonlinear Pattern

In this article we propose a polygonal principal curve based nonlinear feature extraction method, which achieves statistical redundancy elimination without loss of information and provides more robust nonlinear pattern identification for high-dimensional data. Recognizing the limitations of linear statistical methods, this article integrates local principal component analysis (PCA) with a polygonal line algorithm to approximate the complicated nonlinear data structure. Experimental results demonstrate that the proposed algorithm can be implemented to reduce the computation complexity for nonlinear feature extraction in multivariate cases.

A New Method of Nonlinear Feature Extraction for Multi-Fault Diagnosis of Rotor Systems

2010 ◽  
Vol 41 (10) ◽  
pp. 29-37 ◽  
Author(s):  
Zhixiong Li ◽  
Xinping Yan ◽  
Chengqing Yuan ◽  
Jiangbin Zhao ◽  
Zhongxiao Peng
Keyword(s):  
Feature Extraction ◽  
Fault Diagnosis ◽  
New Method ◽  
Rotor Systems ◽  
Nonlinear Feature Extraction ◽  
Nonlinear Feature
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