Explicit shift-invariant dictionary learning

Cristian Rusu, Bogdan Dumitrescu, Sotirios A. Tsaftaris

Research output: Contribution to journalArticlepeer-review


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
Issue number1
Publication statusPublished - 2014


  • Dictionary learning
  • shift-invariant learning
  • sparse representations

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