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VariableBandwidth Smoothing Based on Cluster Analysis
引用本文:周小波,周雷,张贤达. VariableBandwidth Smoothing Based on Cluster Analysis[J]. 清华大学学报, 2000, 5(2): 180-182
作者姓名:周小波  周雷  张贤达
作者单位:ZHOU Xiaobo ZHOU Lei ZHANG Xianda State Key Laboratory of Intelligent Technology and System,;Department of Automation,Tsinghua University,Beijing 100084,China
基金项目:the National Natural Science Foundationof China!( No.69772 0 2 3 )
摘    要:Introduction  Fouriertransforms,short-timeFouriertransformsandavarietyoffilterssuchastheWienerfilterandtheKalmanfilterarewell-knowntraditionalmethodsfordigitalsignalprocessingtorecoverfunctions.Avarietyofspatialadaptivemethodshavebeenrecentlyproposedinthestatisticalliterature[1].Suchmethodshavebeenshowntobebetterthanthetraditionalmethodswhicharebasedonfixedspatialscales,suchasFourierseriesmethods,fixed-bandwidthkernelmethods(nonparametricestimators),andlinearsplinesmoothers.Anewprinciplefo…


Variable Bandwidth Smoothing Based on Cluster Analysis
ZHOU Xiaobo,ZHOU Lei,ZHANG Xianda. Variable Bandwidth Smoothing Based on Cluster Analysis[J]. Tsinghua Science and Technology, 2000, 5(2): 180-182
Authors:ZHOU Xiaobo  ZHOU Lei  ZHANG Xianda
Abstract:Piecewise variable bandwidth local polynomial smoothing was studied. A local polynomial smoothing method was given based on kernel functions and the optimal variable bandwidth choice was discussed using cluster analysis. Computer simulations show that the current method is better than Donoho's wavelet shrinkage method.
Keywords:variable bandwidth selection  locally weighted regression  cluster analysis
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