relation: http://eprints.imtlucca.it/1917/ title: Explicit Shift-Invariant Dictionary Learning creator: Rusu, Cristian creator: Dumitrescu, Bogdan creator: Tsaftaris, Sotirios A. subject: QA75 Electronic computers. Computer science subject: Z004 Books. Writing. Paleography description: 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. publisher: IEEE date: 2014 type: Article type: PeerReviewed identifier: 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) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6655924&isnumber=6655913 relation: 10.1109/LSP.2013.2288788