66 citations · 375 across the 33 of their papers we have counts for
4 papers · 1 filter
Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU Networks : Function Approximation and Statistical Recovery
Minshuo Chen, Haoming Jiang, Wenjing Liao +1
Real world data often exhibit low-dimensional geometric structures, and can be viewed as samples near a low-dimensional manifold. This paper studies nonparametric regression of Höl…
Conditioning of restricted Fourier matrices and super-resolution of MUSIC
Weilin Li, Wenjing Liao
This paper studies stable recovery of a collection of point sources from its noisy low-frequency Fourier coefficients. We focus on the super-resolution regime where the minim…
Super-resolution limit of the ESPRIT algorithm
Weilin Li, Wenjing Liao, Albert Fannjiang
The problem of imaging point objects can be formulated as estimation of an unknown atomic measure from its consecutive noisy Fourier coefficients. The standard resolution of…
IDENT: Identifying Differential Equations with Numerical Time evolution
Sung Ha Kang, Wenjing Liao, Yingjie Liu
Identifying unknown differential equations from a given set of discrete time dependent data is a challenging problem. A small amount of noise can make the recovery unstable, and no…