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A data-adaptive knot selection scheme for fitting splines

delete2001-05-01
delete30
PRE
AI
X
Xuming He
L
Lixin Shen
Z
Zuowei Shen
DOI:10.1109/97.917695delete
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摘要

摘要

En 中文
A critical component of spline smoothing is the choice of knots, especially for curves with varying shapes and frequencies in its domain. We consider a two-stage knot selection scheme for adaptively fitting splines to data subject to noise. A potential set of knots is chosen based on information from certain wavelet decompositions with the intention of placing more points where the curve shows rapid changes. The final knot selection is then made based on statistical model selection ideas. We show that the proposed method is well suited for a variety of smoothing and noise filtering needs.
Keyword:
knot
least squares
model selection
smoothing
spline
wavelet decomposition
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期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

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