# Expander ℓ0-Decoding

@article{MendozaSmith2018Expander, title={Expander ℓ0-Decoding}, author={Rodrigo Mendoza-Smith and Jared Tanner}, journal={ArXiv}, year={2018}, volume={abs/1508.01256} }

Abstract We introduce two new algorithms, Serial- l 0 and Parallel- l 0 for solving a large underdetermined linear system of equations y = A x ∈ R m when it is known that x ∈ R n has at most k m nonzero entries and that A is the adjacency matrix of an unbalanced left d-regular expander graph. The matrices in this class are sparse and allow a highly efficient implementation. A number of algorithms have been designed to work exclusively under this setting, composing the branch of combinatorial…

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