46 citations · 146 across the 18 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.FA2017★ 6 cited
Rotationally invariant time-frequency scattering transforms
Wojciech Czaja, Weilin Li
In this paper we construct directionally sensitive functions that can be viewed as directional time-frequency representations. We call such a sequence a rotational uniform covering…
cs.IT2017★ 31 cited
Stable super-resolution limit and smallest singular value of restricted Fourier matrices
Weilin Li, Wenjing Liao
We consider the inverse problem of recovering the locations and amplitudes of a collection of point sources represented as a discrete measure, given of its noisy low-frequenc…
cs.IT2017★ 8 cited
Elementary error estimates for super-resolution de-noising
Weilin Li
This paper studies the problem of recovering a discrete complex measure on the torus from a finite number of corrupted Fourier samples. We assume the support of the unknown discret…