Bulletin of the Computational Statistics of Japan
Online ISSN : 2189-9789
Print ISSN : 0914-8930
ISSN-L : 0914-8930
CURVE FITTlNG METHODS FOR DATA WITHOUT EXTERNAL CRITERION
Masahiro Mizuta
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Keywords: Algebraic curve fitting, Principal curves, Generalized principal components analysis, Nonlinear data analysis
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2003 Volume 15 Issue 2 Pages 263-271

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Abstract
In this paper, we survey methods for curve fitting for multidimensional data without external criterion. Curve fitting is a fundamental techunique for data analysis. Principal Components Analysis find out a line or linear subspace fitted for the data. But, it is not easy to get nonlinear curve fitting. We introduce three methods for nonlinear curve fitting; Generalized Principal Components Analysis, Algebraic Curve Fitting, and Principal Curve.
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© 2003 Japanese Society of Computational Statistics
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