Parametric Dictionary Design for Sparse Coding - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2009

Parametric Dictionary Design for Sparse Coding

Abstract

This paper introduces a new dictionary design method for sparse coding of a class of signals. It has been shown that one can sparsely approximate some natural signals using an overcomplete set of parametric functions, e.g. [1], [2]. A problem in using these parametric dictionaries is how to choose the parameters. In practice these parameters have been chosen by an expert or through a set of experiments. In the sparse approximation context, it has been shown that an incoherent dictionary is appropriate for the sparse approximation methods. In this paper we first characterize the dictionary design problem, subject to a minimum coherence constraint. Then we briefly explain that equiangular tight frames have minimum coherence. The parametric dictionary design is then to find an admissible dictionary close to being tight frame. The complexity of the problem does not allow it to be solved exactly. We introduce a practical method to approximately solve it. Some experiments show the advantages one gets by using these dictionaries. Index Terms—Sparse Approximation, Dictionary Design, Incoherent Dictionary, Parametric Dictionary, Gammatone Filter Banks, Exact Sparse Recovery.
Fichier principal
Vignette du fichier
14.pdf (333.41 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00369364 , version 1 (19-03-2009)

Identifiers

  • HAL Id : inria-00369364 , version 1

Cite

Mehrdad Yaghoobi, Laurent Daudet, Mike E. Davies. Parametric Dictionary Design for Sparse Coding. SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations, Inria Rennes - Bretagne Atlantique, Apr 2009, Saint Malo, France. ⟨inria-00369364⟩
174 View
535 Download

Share

Gmail Facebook X LinkedIn More