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researcher

E. Livshitz

4 papers hereh-index 7163 citations13 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author3
  • first author1

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.NA4

identity via Semantic Scholar / OpenAlex

activity
20092013
most citedSparse approximation and recovery by greedy algorithms

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.NA2013★ 2 cited

Sparse approximation and recovery by greedy algorithms

Eugene Livshitz, Vladimir Temlyakov

We study sparse approximation by greedy algorithms. Our contribution is two-fold. First, we prove exact recovery with high probability of random K-sparse signals within $\lceil K…

math.NA2010

On efficiency of Orthogonal Matching Pursuit

Eugene Livshitz

We show that if a matrix Φ satisfies the RIP of order [CK1.2] with isometry constant $\dt = c K^{-0.2}$ and has coherence less than 1/(20K0.8), then Orthogonal Matchin…

math.NA2010

On the optimality of Orthogonal Greedy Algorithm for M-coherent dictionaries

Eugene Livshitz

We show that Orthogonal Greedy Algorithms (Orthogonal Matching Pursuit) provides almost optimal approximation on the first [1/(20M)] steps for M-coherent dictionaries

math.NA2009

On Greedy Algorithms with bounded cumulative coherence

Eugene Livshitz

We discuss the upper and lower estimates for the rate of convergence of Pure and Orthogonal Greedy Algorithms for dictionary with bounded cumulative coherence.

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