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• W2963639053 abstract "This paper considers the fundamental limit of compressed sensing for i.i.d. signal distributions and i.i.d. Gaussian measurement matrices. Its main contribution is a rigorous characterization of the asymptotic mutual information (MI) and minimum mean-square error (MMSE) in this setting. Under mild technical conditions, our results show that the limiting MI and MMSE are equal to the values predicted by the replica method from statistical physics. This resolves a well-known problem that has remained open for over a decade." @default.
• W2963639053 created "2019-07-30" @default.
• W2963639053 creator A5034044119 @default.
• W2963639053 creator A5084396713 @default.
• W2963639053 date "2016-07-01" @default.
• W2963639053 modified "2023-09-30" @default.
• W2963639053 title "The replica-symmetric prediction for compressed sensing with Gaussian matrices is exact" @default.
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• W2963639053 doi "https://doi.org/10.1109/isit.2016.7541382" @default.
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