• Corpus ID: 8650707

# Subspace-Sparse Representation

@article{You2015SubspaceSparseR,
title={Subspace-Sparse Representation},
author={Chong You and Ren{\'e} Vidal},
journal={ArXiv},
year={2015},
volume={abs/1507.01307}
}
• Published 6 July 2015
• Computer Science
• ArXiv
Given an overcomplete dictionary $A$ and a signal $b$ that is a linear combination of a few linearly independent columns of $A$, classical sparse recovery theory deals with the problem of recovering the unique sparse representation $x$ such that $b = A x$. It is known that under certain conditions on $A$, $x$ can be recovered by the Basis Pursuit (BP) and the Orthogonal Matching Pursuit (OMP) algorithms. In this work, we consider the more general case where $b$ lies in a low-dimensional…

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