173 citations · 437 across the 31 of their papers we have counts for
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Leveraging Diversity and Sparsity in Blind Deconvolution
Ali Ahmed, Laurent Demanet
This paper considers recovering -dimensional vectors , and from their circular convolutions $\bolds…
Stable extrapolation of analytic functions
Laurent Demanet, Alex Townsend
This paper examines the problem of extrapolation of an analytic function for given perturbed samples from an equally spaced grid on . Mathematical folklore states t…
The recoverability limit for superresolution via sparsity
Laurent Demanet, Nam Nguyen
We consider the problem of robustly recovering a -sparse coefficient vector from the Fourier series that it generates, restricted to the interval . The difficulty of t…
Super-resolution via superset selection and pruning
Laurent Demanet, Deanna Needell, Nam Nguyen
We present a pursuit-like algorithm that we call the "superset method" for recovery of sparse vectors from consecutive Fourier measurements in the super-resolution regime. The algo…