NDLI: On exact lq denoising

Content Provider	IEEE Xplore Digital Library
Author	Marjanovic, G. Solo, V.
Copyright Year	2013
Description	Author affiliation: Sch. of Electr. Eng. & Telecommun., Univ. of New South Wales, Sydney, NSW, Australia (Marjanovic, G.; Solo, V.)
Abstract	Recently, a lot of attention has been given to penalized least squares problem formulations for sparse signal reconstruction in the presence of noise. The penalty is responsible for inducing sparsity, where the common choice used is the convex $l_{1}$ norm. While an $l_{0}$ penalty generates maximum sparsity it has been avoided due to lack of convexity. With the hope of gaining improved sparsity but more computational tractability there has been recent interest in the $l_{q}$ penalty. In this paper we provide a novel cyclic descent algorithm for optimizing the $l_{q}$ penalized least squares problem when 0 <; q <; 1. Optimality conditions for this problem are derived and competing ones are clarified. We illustrate with simulations comparing the reconstruction quality with three penalty functions: $l_{0},$ $l_{1}$ and $l_{q},$ 0 <; q <; 1.
Starting Page	6068
Ending Page	6072
File Size	422130
Page Count	5
File Format	PDF
ISBN	9781479903566
ISSN	15206149
DOI	10.1109/ICASSP.2013.6638830
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-26
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Coordinate measuring machines Optimization Minimization Charge coupled devices Signal processing algorithms Noise Vectors inverse problem sparsity lq optimization nonconvex
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
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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