Full length article: On the optimality of the Orthogonal Greedy Algorithm for µ-coherent dictionaries

  • Authors:
  • E. D. Livshitz

  • Affiliations:
  • -

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2012

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Abstract

In this article, we continue to study the performance of Greedy Algorithms. We show that the Orthogonal Greedy Algorithm (Orthogonal Matching Pursuit) provides an almost optimal approximation on the first [@m^-^1/20] steps for @m-coherent dictionaries.