Weilin Li's Homepage
Department of Mathematics
University of Maryland
Welcome to my homepage! I am a Ph.D. candidate at the Norbert Wiener Center, Department of Mathematics, University of Maryland.
My advisors are Professors John J. Benedetto and Wojciech Czaja.
My primary research area is applied harmonic analysis. My current and past research topics include:
Super-resolution, spectral extrapolation, and inverse problems
Mallat scattering transforms and machine learning
Harmonic analysis on graphs and fractals
Weilin Li and Wenjing Liao. Stable super-resolution limit and smallest singular value of restricted Fourier matrices. [arxiv]
Weilin Li. Elementary L^\infty error estimates for super-resolution de-noising. [arxiv]
John J. Benedetto and Weilin Li. Super-resolution by means of Beurling minimal extrapolation. [arxiv]
Wojciech Czaja and Weilin Li. Analysis of time-frequency scattering transforms. Applied and Computational Harmonic Analysis, to appear. [journal] [software]
Weilin Li and Robert S. Strichartz. Boundary value problems on a half Sierpinski gasket. Journal of Fractal Geometry, 1(1):1-43, 2014. [arxiv] [journal]