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- W115171452 abstract "(M N). We refer to the proposed AMP as ssAMP. This ssAMP algorithm is derived from the classical message-passing rule over a bipartite graph which includes spike-and-slab potential functions to encourage the piecewise-constant nature of X. The ssAMP iteration includes a novel scalarwise denoiser satisfying the Lipschitz continuity, generating an approximate MMSE estimate of the signal. The Lipschitz continuity of our denoiser enables the ssAMP to use the state evolution framework, given by the works [16],[19], for MSE prediction. In addition, we empirically show that ssAMP has better phase transition characteristic than TV-AMP [22] and GrAMPA [26] which are the existing AMPs for piecewise-constant recovery. We also discuss computational efficiency, empirically showing that ssAMP has computational advantage over the other recent algorithms under a high-dimensional setting." @default.
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- W115171452 date "2014-08-18" @default.
- W115171452 modified "2023-09-26" @default.
- W115171452 title "Spike-and-Slab Approximate Message-Passing for High-Dimensional Piecewise-Constant Recovery" @default.
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