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- W2949204716 abstract "Previous chapter Next chapter Full AccessProceedings Proceedings of the 2010 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)Lower Bounds for Sparse RecoveryKhanh Do Ba, Piotr Indyk, Eric Price, and David P. WoodruffKhanh Do Ba, Piotr Indyk, Eric Price, and David P. Woodruffpp.1190 - 1197Chapter DOI:https://doi.org/10.1137/1.9781611973075.95PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstract We consider the following k-sparse recovery problem: design an m × n matrix A, such that for any signal x, given Ax we can efficiently recover ○ satisfying ‖x – ○‖1 ≤ C mink-sparse x′ ‖x – x′‖1. It is known that there exist matrices A with this property that have only O(k log(n/k)) rows. In this paper we show that this bound is tight. Our bound holds even for the more general randomized version of the problem, where A is a random variable, and the recovery algorithm is required to work for any fixed x with constant probability (over A). Previous chapter Next chapter RelatedDetails Published:2010ISBN:978-0-89871-701-3eISBN:978-1-61197-307-5 https://doi.org/10.1137/1.9781611973075Book Series Name:ProceedingsBook Code:PR135Book Pages:xviii + 1667" @default.
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- W2949204716 date "2010-01-17" @default.
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- W2949204716 title "Lower Bounds for Sparse Recovery" @default.
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