Assume that we observe a Gaussian vector Y = Xβ + σζ, where X is a known p × n matrix with p ≥ n, β ∈ ℝ n is an unknown vector, and ζ ∈ ℝ n is a standard Gaussian white noise. The problem is to reconstruct Xβ from observations Y, provided that β is a sparse vector.
Problems of Information Transmission – Springer Journals
Published: Jan 21, 2010
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