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» Dictionary Preconditioning for Greedy Algorithms
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TSP
2008
124views more  TSP 2008»
13 years 3 months ago
Dictionary Preconditioning for Greedy Algorithms
This article introduces the concept of sensing dictionaries. It presents an alteration of greedy algorithms like thresholding or (Orthogonal) Matching Pursuit which improves their...
Karin Schnass, Pierre Vandergheynst
JAT
2007
84views more  JAT 2007»
13 years 3 months ago
On Lebesgue-type inequalities for greedy approximation
We study the efficiency of greedy algorithms with regard to redundant dictionaries in Hilbert spaces. We obtain upper estimates for the errors of the Pure Greedy Algorithm and th...
David L. Donoho, Michael Elad, Vladimir N. Temlyak...
CORR
2011
Springer
168views Education» more  CORR 2011»
12 years 10 months ago
Submodular meets Spectral: Greedy Algorithms for Subset Selection, Sparse Approximation and Dictionary Selection
We study the problem of selecting a subset of k random variables from a large set, in order to obtain the best linear prediction of another variable of interest. This problem can ...
Abhimanyu Das, David Kempe
ICML
2010
IEEE
13 years 4 months ago
Submodular Dictionary Selection for Sparse Representation
We develop an efficient learning framework to construct signal dictionaries for sparse representation by selecting the dictionary columns from multiple candidate bases. By sparse,...
Andreas Krause, Volkan Cevher
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 3 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire