NDLI: Orthogonal orthogonal overcomplete kernel design for sparse representation

Content Provider	IEEE Xplore Digital Library
Author	Zhijing Yang Chunmei Qing Ling, B.W. Wai Lok Woo Sanei, S.
Copyright Year	2012
Description	Author affiliation: School of Engineering, University of Lincoln, Lincolnshire, LN6 7TS, United Kingdom (Chunmei Qing; Ling, B.W.) \|\| School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle Upon Tyne, NE1 7RU, United Kingdom (Wai Lok Woo) \|\| Faulty of Computer, Guangdong University of Technology, Guangzhou, 510006, China (Zhijing Yang) \|\| Department of Computing, Faculty of Engineering and Physical Science, University of Surrey, Guildford, GU2 7XH, United Kingdom (Sanei, S.)
Abstract	This paper proposes an optimal orthogonal overcomplete kernel design for sparse representation such that the sum of the L1 norms of a set of transformed vectors is minimized. When there is only one training vector in the set, both the optimal transformed vector and the optimal orthogonal kernel are derived analytically. When there is more than one training vector in the sets, this optimization problem is difficult to solve due to the orthogonal quadratic constraint. To address this difficulty, the paper proposes to convert the quadratic constrained optimization problem to an optimal rotational angle design problem. A set of vectors of rotational angles are initialized and the best converged vector of the rotational angles among the set is taken as the nearly globally optimal solution of the problem. Simulation results show that the proposed methodology is very effective and efficient.
Starting Page	1
Ending Page	4
File Size	650043
Page Count	4
File Format	PDF
ISBN	9781457714726
e-ISBN	9781457714733
DOI	10.1109/CSNDSP.2012.6292723
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-18
Publisher Place	Poland
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Training Algorithm design and analysis Signal processing algorithms Linear programming Vectors Kernel Optimization
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
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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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