Explicit shift-invariant dictionary learning

Cristian Rusu, Bogdan Dumitrescu, Sotirios A. Tsaftaris

Research output: Contribution to journalArticlepeer-review

Abstract

In this letter we give efficient solutions to the construction of structured dictionaries for sparse representations. We study circulant and Toeplitz structures and give fast algorithms based on least squares solutions. We take advantage of explicit circulant structures and we apply the resulting algorithms to shift-invariant learning scenarios. Synthetic experiments and comparisons with state-of-the-art methods show the superiority of the proposed methods.

Original languageEnglish
Article number6655924
Pages (from-to)6-9
Number of pages4
JournalIEEE Signal Processing Letters
Volume21
Issue number1
DOIs
Publication statusPublished - 2014

Keywords

  • Dictionary learning
  • shift-invariant learning
  • sparse representations

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