Denoising based Vector Approximate Message Passing

Philip Schniter; Sundeep Rangan; Alyson Fletcher

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arXiv · 1611.01376

Denoising based Vector Approximate Message Passing

Philip Schniter·Sundeep Rangan·Alyson Fletcher

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Abstract

The denoising-based approximate message passing (D-AMP) methodology, recently proposed by Metzler, Maleki, and Baraniuk, allows one to plug in sophisticated denoisers like BM3D into the AMP algorithm to achieve state-of-the-art compressive image recovery. But AMP diverges with small deviations from the i.i.d.-Gaussian assumption on the measurement matrix. Recently, the vector AMP (VAMP) algorithm has been proposed to fix this problem. In this work, we show that the benefits of VAMP extend to D-VAMP.

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Philip Schniter, Sundeep Rangan, Alyson Fletcher. 2016-11-04. Denoising based Vector Approximate Message Passing. https://arxiv.org/abs/1611.01376

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