eprintid: 1917 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/19/17 datestamp: 2013-11-20 11:11:10 lastmod: 2013-11-20 11:11:10 status_changed: 2013-11-20 11:11:10 type: article metadata_visibility: show creators_name: Rusu, Cristian creators_name: Dumitrescu, Bogdan creators_name: Tsaftaris, Sotirios A. creators_id: cristian.rusu@imtlucca.it creators_id: creators_id: sotirios.tsaftaris@imtlucca.it title: Explicit Shift-Invariant Dictionary Learning ispublished: pub subjects: QA75 subjects: Z004 divisions: CSA full_text_status: none keywords: Dictionary learning; Shift-invariant learning; Sparse representations 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. date: 2014 date_type: published publication: IEEE Signal Processing Letters volume: 21 number: 1 publisher: IEEE pagerange: 6-9 id_number: 10.1109/LSP.2013.2288788 refereed: TRUE issn: 1070-9908 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6655924&isnumber=6655913 citation: Rusu, Cristian and Dumitrescu, Bogdan and Tsaftaris, Sotirios A. Explicit Shift-Invariant Dictionary Learning. IEEE Signal Processing Letters, 21 (1). pp. 6-9. ISSN 1070-9908 (2014)