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Explicit Shift-Invariant Dictionary Learning

Rusu, Cristian, Dumitrescu, Bogdan and Tsaftaris, Sotirios A. (2014) Explicit Shift-Invariant Dictionary Learning. IEEE Signal Processing Letters, 21 (1). pp. 6-9. ISSN 1558-2361

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Official URL: http://dx.doi.org/10.1109/LSP.2013.2288788

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.

Item Type: Article
Subjects: Q Science > QA Mathematics > Electronic computers. Computer science
T Technology > T Technology (General) > Information Technology > Electronic computers. Computer science
Divisions: School of Computing > Staff Research and Publications
Depositing User: Caoimhe Ní Mhaicín
Date Deposited: 03 Jul 2018 10:20
Last Modified: 03 Jul 2018 10:20
URI: https://norma.ncirl.ie/id/eprint/3051

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