795 citations · 1.4k across the 64 of their papers we have counts for
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Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit
Ben Adcock, Simone Brugiapaglia
We show the potential of greedy recovery strategies for the sparse approximation of multivariate functions from a small dataset of pointwise evaluations by considering an extension…
On oracle-type local recovery guarantees in compressed sensing
Ben Adcock, Claire Boyer, Simone Brugiapaglia
We present improved sampling complexity bounds for stable and robust sparse recovery in compressed sensing. Our unified analysis based on l1 minimization encompasses the case where…
Frames and numerical approximation II: generalized sampling
Ben Adcock, Daan Huybrechs
In a previous paper [Adcock & Huybrechs, 2019] we described the numerical approximation of functions using redundant sets and frames. Redundancy in the function representation offe…
Approximating smooth, multivariate functions on irregular domains
Ben Adcock, Daan Huybrechs
In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in dimensions, where…