NDLI: Model selection for wavelet-based signal estimation

Content Provider	IEEE Xplore Digital Library
Author	Cherkassky, V. Xuhui Shao
Copyright Year	1998
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Minnesota Univ., Minneapolis, MN, USA (Cherkassky, V.)
Abstract	There has been a growing interest in wavelet-based methods for signal estimation from noisy samples. We compare popular wavelet thresholding methods with model selection using VC generalization bounds developed for finite samples. Since wavelet methods are linear (in parameters), the VC-dimension of linear models can be accurately estimated. Successful application of VC-theory to wavelet denoising also requires specification of a suitable structure on a set of wavelet basis functions. We propose such a structure suitable for orthogonal basis functions, which includes wavelets as a special case. The combination of the proposed structure with VC bounds yields a new powerful method for signal estimation with wavelets. Our comparisons indicate that using VC bounds for model selection gives uniformly better results than other wavelet thresholding methods under small sample/high noise setting. On the other hand, with large samples model selection becomes trivial, and most reasonable methods (including wavelet thresholding heuristics) perform reasonably well.
Starting Page	843
Ending Page	848
File Size	478546
Page Count	6
File Format	PDF
ISBN	0780348591
ISSN	10987576
DOI	10.1109/IJCNN.1998.685877
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-05-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Estimation Virtual colonoscopy Predictive models Signal denoising Discrete wavelet transforms Wavelet coefficients Noise reduction Training data Risk analysis Statistical learning
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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