World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
12679
World Ranking
1008
National Ranking
466

Engineering and Technology

D-Index
49
Citations
12619
World Ranking
4225
National Ranking
1209

Research.com Recognitions

  • 2007 - Fellow of Alfred P. Sloan Foundation

Overview

Lexing Ying is affiliated with Stanford University in the United States. Their research spans diverse areas within computer science and mathematics, reflecting extensive contributions to both theoretical and applied computational methods.

Their main fields of study include:

  • Computer Science
  • Mathematics

Ying's work further focuses on several subfields, such as:

  • Artificial Intelligence
  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Computational Theory and Mathematics
  • Statistics and Probability

The major topics covered in their research include:

  • Model Reduction and Neural Networks
  • Quantum Computing Algorithms and Architecture
  • Sparse and Compressive Sensing Techniques
  • Quantum Information and Cryptography
  • Numerical methods in inverse problems
  • Markov Chains and Monte Carlo Methods
  • Matrix Theory and Algorithms

Lexing Ying has published extensively, with frequent appearances in the following venues:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Communications in Mathematical Sciences
  • Research in the Mathematical Sciences
  • Journal of Scientific Computing

Some of their recent papers include:

  • A Simple Solver for the Fractional Laplacian in Multiple Dimensions, 2020, SIAM Journal on Scientific Computing
  • On low-depth algorithms for quantum phase estimation, 2023, Quantum
  • Meta-learning pseudo-differential operators with deep neural networks, 2020, Journal of Computational Physics
  • An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime, 2021, SIAM Journal on Scientific Computing
  • A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth, 2020, arXiv (Cornell University)

Collaborations are a notable aspect of Lexing Ying's academic activity. Frequent co-authors include:

  • Haoya Li
  • Hongkang Ni
  • Yinuo Ren
  • Yuehaw Khoo
  • Yuwei Fan

In 2007, Lexing Ying was recognized as a Fellow of the Alfred P. Sloan Foundation.

Best Publications

  • Fast Discrete Curvelet Transforms

    Emmanuel J. Candès;Laurent Demanet;David L. Donoho;Lexing Ying

  • A kernel-independent adaptive fast multipole algorithm in two and three dimensions

    Lexing Ying;George Biros;Denis Zorin

  • Seismic wave extrapolation using lowrank symbol approximation

    Sergey B Fomel;Lexing Ying;Xiaolei Song

  • Wave atoms and sparsity of oscillatory patterns

    Laurent Demanet;Lexing Ying

  • A massively parallel adaptive fast multipole method on heterogeneous architectures

    Ilya Lashuk;Aparna Chandramowlishwaran;Harper Langston;Tuan-Anh Nguyen

  • Solving parametric PDE problems with artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

    Björn Engquist;Lexing Ying

  • Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation

    Björn Engquist;Lexing Ying

  • 3D discrete curvelet transform

    Lexing Ying;Laurent Demanet;Emmanuel Candes

  • Solving for high-dimensional committor functions using artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Texture and Shape Synthesis on Surfaces

    Lexing Ying;Aaron Hertzmann;Henning Biermann;Denis Zorin

  • Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation

    Lin Lin;Jianfeng Lu;Lexing Ying;Weinan E

  • Fast Directional Multilevel Algorithms for Oscillatory Kernels

    Björn Engquist;Lexing Ying

  • A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators

    Emmanuel J. Candès;Laurent Demanet;Lexing Ying

  • A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

    Lexing Ying;George Biros;Denis Zorin

  • A simple manifold-based construction of surfaces of arbitrary smoothness

    Lexing Ying;Denis Zorin

  • Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

    Lin Lin;Jianfeng Lu;Lexing Ying;Roberto Car

  • SwitchNet: A Neural Network Model for Forward and Inverse Scattering Problems

    Yuehaw Khoo;Lexing Ying

  • Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations

    Kenneth L. Ho;Lexing Ying

  • SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix

    Lin Lin;Chao Yang;Juan C. Meza;Jianfeng Lu

  • A New Parallel Kernel-Independent Fast Multipole Method

    Lexing Ying;George Biros;Denis Zorin;Harper Langston

  • Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation

    Xiaolei Song;Sergey Fomel;Lexing Ying

Frequent Co-Authors

Lin Lin
Lin Lin University of California, Berkeley
Jianfeng Lu
Jianfeng Lu Duke University
Björn Engquist
Björn Engquist The University of Texas at Austin
Sergey Fomel
Sergey Fomel The University of Texas at Austin
Denis Zorin
Denis Zorin New York University
George Biros
George Biros The University of Texas at Austin
Emmanuel J. Candès
Emmanuel J. Candès Stanford University
Weinan E
Weinan E Princeton University
Jianliang Qian
Jianliang Qian Michigan State University

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