46 citations · 146 across the 18 of their papers we have counts for
6 papers · 1 filter
Approximation with one-bit polynomials in Bernstein form
C. Sinan Güntürk, Weilin Li
We prove various theorems on approximation using polynomials with integer coefficients in the Bernstein basis of any given order. In the extreme, we draw the coefficients from $\{…
Approximation of functions with one-bit neural networks
C. Sinan Güntürk, Weilin Li
The celebrated universal approximation theorems for neural networks roughly state that any reasonable function can be arbitrarily well-approximated by a network whose parameters ar…
Stability and Super-resolution of MUSIC and ESPRIT for Multi-snapshot Spectral Estimation
Weilin Li, Zengying Zhu, Weiguo Gao +1
This paper studies the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements collected by a un…
Exploring the high dimensional geometry of HSI features
Wojciech Czaja, Ilya Kavalerov, Weilin Li
We explore feature space geometries induced by the 3-D Fourier scattering transform and deep neural network with extended attribute profiles on four standard hyperspectral images.…
Maximal function pooling with applications
Wojciech Czaja, Weilin Li, Yiran Li +1
Inspired by the Hardy-Littlewood maximal function, we propose a novel pooling strategy which is called maxfun pooling. It is presented both as a viable alternative to some of the m…
Quantization for spectral super-resolution
C. Sinan Güntürk, Weilin Li
We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is…