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- W2021002004 abstract "Compressive sensing is a method for acquiring high dimensional signals (e.g., images) using a small number of linear measurements. Consider an n-pixel image x ∈ Rn, where each pixel p has value xp. The image is acquired by computing the measurement vector Ax, where A is an m x n measurement matrix, for some m << n. The goal is to design the matrix A and the recovery algorithm which, given Ax, returns an approximation to x. It is known that m=O(k log(n/k)) measurements suffices to recover the k-sparse approximation of x. Unfortunately, this result uses matrices A that are random. Such matrices are difficult to implement in physical devices. In this paper we propose compressive sensing schemes that use matrices A that achieve the near-optimal bound of m=O(k log n), while being highly local. We also show impossibility results for stronger notions of locality." @default.
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- W2021002004 date "2013-06-17" @default.
- W2021002004 modified "2023-09-27" @default.
- W2021002004 title "Compressive sensing using locality-preserving matrices" @default.
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- W2021002004 doi "https://doi.org/10.1145/2462356.2462405" @default.
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