795 citations · 1.4k across the 64 of their papers we have counts for
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On asymptotic structure in compressed sensing
Bogdan Roman, Anders Hansen, Ben Adcock
This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand u…
The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing
Ben Adcock, Anders C. Hansen, Bogdan Roman
An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its stru…
Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements
Ben Adcock, Anders C. Hansen, Gitta Kutyniok +1
In this paper we analyze two-dimensional wavelet reconstructions from Fourier samples within the framework of generalized sampling. For this, we consider both separable compactly-s…
A note on compressed sensing of structured sparse wavelet coefficients from subsampled Fourier measurements
Ben Adcock, Anders C. Hansen, Bogdan Roman
This note complements the paper "The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing" [2]. Its purpose is to present…