Weilin Li's Homepage

Assistant Professor, CUNY City College
Doctoral Faculty, CUNY Graduate Center
Office: Room 415, Marshak Science Building
Email: wli6@ccny.cuny.edu

Biography

Hello, welcome to my personal webpage!

My research area is applied and computational harmonic analysis. Broadly speaking, I analyze and develop numerical methods that decompose and reconstruct data. More specifically, my current research interests lie in the computational theory of super-resolution and rigorous methods for compression and quantization. My work is supported by the National Science Foundation, PSC-CUNY, and the Foundation for City College.

Before joing City University of New York, I was a Courant Instructor at New York University. Before that, I received my PhD in mathematics from the University of Maryland, College Park. Here is a brief CV.

• CUNY GC Harmonic Analysis and PDE Seminar, a research seminar.
• Learning Seminar in Analysis and PDEs, a learning seminar for CUNY math graduate students.

Publications and Preprints (Google Scholar)

Preprints

• Optimality of Gradient-MUSIC for spectral estimation
  Albert Fannjiang, Weilin Li, and Wenjing Liao
  
• An explicit spectral decomposition of the ADRT
  Weilin Li, Karl Otness, Kui Ren, and Donsub Rim
  
• Concerning the stability of exponential systems and Fourier matrices
  Oleg Asipchuk, Laura De Carli, and Weilin Li
  
• Approximation of functions with one-bit neural networks
  C. Sinan Güntürk and Weilin Li
  

Journal Articles

• Subspace and DOA estimation under coarse quantization
  Sjoerd Dirksen, Weilin Li, and Johannes Maly
  IEEE Transactions on Information Theory, 2025
• Nonharmonic multivariate Fourier transforms and matrices: condition numbers and hyperplane geometry
  Weilin Li
  Applied and Computational Harmonic Analysis, 2025
• Multiscale estimates for the condition number of non-harmonic Fourier matrices
  Weilin Li
  Mathematics of Computation, 2025
• Approximation with one-bit polynomials in Bernstein form
  C. Sinan Güntürk and Weilin Li
  Constructive Approximation (special issue for Ron DeVore's 80th birthday), 2023
• A range characterization of the single-quadrant ADRT
  Weilin Li, Kui Ren, and Donsub Rim
  Mathematics of Computation, 2023
• Stability and super-resolution of MUSIC and ESPRIT for multi-snapshot spectral estimation
  Weilin Li, Zengying Zhu, Weiguo Gao, and Wenjing Liao
  IEEE Transactions on Signal Processing, 2022
• Quantization for spectral super-resolution
  C. Sinan Güntürk and Weilin Li
  Constructive Approximation, 2022
• Generalization error of minimum weighted norm and kernel interpolation
  Weilin Li
  SIAM Journal on Mathematics of Data Science, 2021
• Super-resolution limit of the ESPRIT algorithm
  Weilin Li, Wenjing Liao, and Albert Fannjiang
  IEEE Transactions on Information Theory, 2020
• 3-D Fourier scattering transform and classification of hyperspectral images
  Ilya Kavalerov, Weilin Li, Wojciech Czaja, and Rama Chellappa
  IEEE Transactions on Geoscience and Remote Sensing, 2021
• Experiments in unmanned aerial vehicle/unmanned ground vehicle radiation search
  John Peterson, Weilin Li, Brian Cesar-Tondreau, John Bird, Kevin Kochersberger, Wojciech Czaja, and Morgan McLean
  Journal of Field Robotics, 2019
• Stable super-resolution limit and smallest singular value of restricted Fourier matrices
  Weilin Li and Wenjing Liao
  Applied and Computational Harmonic Analysis, 2021
  [This paper won the 2021 Charles Chui Young Researcher Best Paper award]
• Rotationally invariant time-frequency scattering transforms
  Wojciech Czaja and Weilin Li
  Journal of Fourier Analysis and Applications, 2020
• Analysis of time-frequency scattering transforms
  Wojciech Czaja and Weilin Li
  Applied and Computational Harmonic Analysis, 2019
• Super-resolution by means of Beurling minimal extrapolation
  John J. Benedetto and Weilin Li
  Applied and Computational Harmonic Analysis, 2020
• Boundary value problems on a half Sierpinski gasket
  Weilin Li and Robert S. Strichartz
  Journal of Fractal Geometry, 2014

Book Chapters

• Maximal function pooling with applications
  Wojciech Czaja, Weilin Li, Yiran Li, and Mike Pekala
  Excursions in Harmonic Analysis, Volume 6 (In Honor of John Benedetto's 80th Birthday), 2021

Conference Proceedings

• New perspectives on Fourier matrices
  Weilin Li
  15th International Conference on Sampling Theory and Applications (SampTA), 2025
• Subspace estimation under coarse quantization
  Sjoerd Dirksen, Weilin Li, Johannes Maly
  15th International Conference on Sampling Theory and Applications (SampTA), 2025
• Uniform Approximation by Polynomials with Integer Coefficients via the Bernstein Lattice
  C. Sinan Güntürk and Weilin Li
  Combinatorial and Additive Number Theory VI, 2025
• Near-optimality of ΣΔ quantization for L²-approximation with polynomials in Bernstein form
  C. Sinan Güntürk and Weilin Li
  14th International Conference on Sampling Theory and Applications (SampTA), 2023
• Exploring the high dimensional geometry of HSI features
  Wojciech Czaja, Ilya Kavalerov, and Weilin Li
  Workshop on Hyperspectral Imaging and Signal Processing: Evolution in Remote Sensing (WHISPERS), 2021
• Conditioning of restricted Fourier matrices and super-resolution of MUSIC
  Weilin Li and Wenjing Liao
  13th International Conference on Sampling Theory and Applications (SampTA), 2019
• High performance quantization for spectral super-resolution
  C. Sinan Güntürk and Weilin Li
  13th International Conference on Sampling Theory and Applications (SampTA), 2019
• Unmanned aircraft applications in radiological surveys
  Kevin Kochersberger, John Peterson, Prashant Kumar, John Bird, Morgan McLean, Wojciech Czaja, Weilin Li, and Nathaniel Monson
  IEEE International Symposium on Technologies for Homeland Security, 2018
• Scattering transforms and classification of hyperspectral images
  Wojciech Czaja, Ilya Kavalerov, and Weilin Li
  SPIE, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery, 2018

Recorded Talks

• Function approximation with one-bit Bernstein and neural networks given at the Faraway Fourier Talks. [slides]
• Super-resolution, subspace methods, and Fourier matrices given at the One-World MINDS seminar. [slides]

Software