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Globally Variance-Constrained Sparse Representation for Rate-Distortion Optimized Image Representation

  • Xiang Zhang
  • , Siwei Ma
  • , Zhouchen Lin
  • , Jian Zhang
  • , Shiqi Wang
  • , Wen Gao
  • Peking University
  • Shanghai Jiao Tong University
  • Nanyang Technological University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Sparse representation is efficient to approximately recover signals by a linear composition of a few bases from an over-complete dictionary. However, in the scenario of data compression, its efficiency and popularity are hindered due to the extra overhead for encoding the sparse coefficients. Therefore, how to establish an accurate rate model in sparse coding and dictionary learning becomes meaningful, which has been not fully exploited in the context of sparse representation. According to the Shannon entropy inequality, the variance of data source can bound its entropy, thus can reflect the actual coding bits. Therefore, a Globally Variance-Constrained Sparse Representation (GVCSR) model is proposed, where a variance-constrained rate term is introduced to the conventional sparse representation. To solve the non-convex optimization problem, we employ the Alternating Direction Method of Multipliers (ADMM) for sparse coding and dictionary learning, both of which have shown state-of-The-Art rate-distortion performance in image representation.

Original languageEnglish
Title of host publicationProceedings - DCC 2017, 2017 Data Compression Conference
EditorsAli Bilgin, Joan Serra-Sagrista, Michael W. Marcellin, James A. Storer
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages380-389
Number of pages10
ISBN (Electronic)9781509067213
DOIs
StatePublished - 8 May 2017
Externally publishedYes
Event2017 Data Compression Conference, DCC 2017 - Snowbird, United States
Duration: 4 Apr 20177 Apr 2017

Publication series

NameData Compression Conference Proceedings
VolumePart F127767
ISSN (Print)1068-0314

Conference

Conference2017 Data Compression Conference, DCC 2017
Country/TerritoryUnited States
CitySnowbird
Period4/04/177/04/17

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