Nonlinear principal components analysis--based on principal curves and neural networks
- Univ. of Maryland, College Park, MD (United States)
Many applications of principal component analysis (PCA) can be found in recently published papers. But principal component analysis is a linear method, and most engineering problems are nonlinear. Sometimes using the linear PCA method in nonlinear problems can bring distorted and misleading results. So there is a need for a nonlinear principal component analysis (NLPCA) method. The principal curve algorithm was a breakthrough of solving the NLPCA problem, but the algorithm does not yield an NLPCA model which can be used for predictions. In this paper we present a NLPCA method which integrates the principal curve algorithm and neural networks. The results on both simulated and real problems show that the method is excellent for solving nonlinear principal component problems. Potential applications of NLPCA are also discussed in this paper.
- Research Organization:
- USDOE Pittsburgh Energy Technology Center, PA (United States); Oregon State Univ., Corvallis, OR (United States). Dept. of Computer Science; Naval Research Lab., Washington, DC (United States); Electric Power Research Inst., Palo Alto, CA (United States); Bureau of Mines, Washington, DC (United States)
- OSTI ID:
- 81590
- Report Number(s):
- CONF-9410335--; ON: DE95011702
- Country of Publication:
- United States
- Language:
- English
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