Lexing Ying

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Lexing Ying is affiliated with the following schools: University of California, Berkeley, University of Texas at Austin, Stanford University, Shanghai Jiao Tong University, New York University

Lexing Ying's AcademicInfluence.com Rankings

Lexing Ying

Mathematics

#3267

World Rank

#4860

Historical Rank

Measure Theory

#2351

World Rank

#2812

Historical Rank

mathematics Degrees

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Mathematics

Lexing Ying's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics Stanford University

Why Is Lexing Ying Influential?

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According to Wikipedia, Lexing Ying is a professor of mathematics at Stanford University, where he is also a member of the Institute for Computational and Mathematical Engineering. He specializes in scientific computing and numerical analysis. In particular, his research concerns the design of numerical algorithms for problems in scientific computing.

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Lexing Ying's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Fast Discrete Curvelet Transforms (2006) (2641)
A kernel-independent adaptive fast multipole algorithm in two and three dimensions (2004) (465)
Wave atoms and sparsity of oscillatory patterns (2007) (310)
Solving parametric PDE problems with artificial neural networks (2017) (253)
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers (2010) (222)
Seismic wave extrapolation using lowrank symbol approximation (2013) (217)
Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation (2010) (193)
A massively parallel adaptive fast-multipole method on heterogeneous architectures (2009) (184)
3D discrete curvelet transform (2005) (161)
Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation (2011) (157)
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains (2006) (154)
Texture and Shape Synthesis on Surfaces (2001) (141)
A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators (2008) (135)
Fast Directional Multilevel Algorithms for Oscillatory Kernels (2007) (132)
A simple manifold-based construction of surfaces of arbitrary smoothness (2004) (126)
SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix (2010) (111)
A fast direct solver for elliptic problems on general meshes in 2D (2012) (106)
Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations (2016) (106)
Fast construction of hierarchical matrix representation from matrix-vector multiplication (2009) (103)
Solving for high-dimensional committor functions using artificial neural networks (2018) (103)
Fast Computation of Fourier Integral Operators (2006) (101)
Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations (2013) (96)
A New Parallel Kernel-Independent Fast Multipole Method (2003) (95)
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems (2009) (94)
A fast solver for the Stokes equations with distributed forces in complex geometries (2004) (88)
SwitchNet: a neural network model for forward and inverse scattering problems (2018) (84)
Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation (2013) (81)
A fast directional algorithm for high frequency acoustic scattering in two dimensions (2009) (77)
Curvelets and wave atoms for mirror-extended images (2007) (72)
A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations (2012) (71)
Compressed Representation of Kohn-Sham Orbitals via Selected Columns of the Density Matrix. (2014) (70)
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation (2010) (70)
Solving Electrical Impedance Tomography with Deep Learning (2019) (61)
A Multiscale Neural Network Based on Hierarchical Matrices (2018) (60)
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost (2014) (58)
Butterfly Factorization (2015) (57)
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth (2020) (55)
Synchrosqueezed Curvelet Transform for Two-Dimensional Mode Decomposition (2014) (55)
Sparse Fourier Transform via Butterfly Algorithm (2008) (54)
Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation (2010) (53)
A Butterfly Algorithm for Synthetic Aperture Radar Imaging (2012) (53)
Low-rank one-step wave extrapolation for reverse time migration (2016) (52)
The phase flow method (2006) (50)
Wave atoms and time upscaling of wave equations (2009) (50)
A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations (2010) (49)
Pole-Based approximation of the Fermi-Dirac function (2009) (46)
Fast geodesics computation with the phase flow method (2006) (44)
A kernel independent fast multipole algorithm for radial basis functions (2006) (42)
A multiscale neural network based on hierarchical nested bases (2018) (41)
A Recursive Skeletonization Factorization Based on Strong Admissibility (2016) (40)
A Simple Solver for the Fractional Laplacian in Multiple Dimensions (2018) (39)
Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation (2015) (37)
Fast Spatial Gaussian Process Maximum Likelihood Estimation via Skeletonization Factorizations (2016) (35)
A fast butterfly algorithm for generalized Radon transforms (2013) (34)
Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition (2013) (34)
A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements (2012) (34)
Crystal Image Analysis Using 2D Synchrosqueezed Transforms (2014) (33)
BCR-Net: a neural network based on the nonstandard wavelet form (2018) (33)
Discrete Symbol Calculus (2008) (33)
SCDM-k: Localized orbitals for solids via selected columns of the density matrix (2015) (32)
Meta-learning Pseudo-differential Operators with Deep Neural Networks (2019) (31)
How to Learn when Data Reacts to Your Model: Performative Gradient Descent (2021) (31)
Nonmanifold subdivision (2001) (29)
A fast spectral algorithm for the quantum Boltzmann collision operator (2012) (28)
A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices (2014) (28)
Tensor networks (2019) (26)
Sparsifying Preconditioner for the Lippmann-Schwinger Equation (2014) (25)
Multidimensional butterfly factorization (2015) (24)
A Parallel Butterfly Algorithm (2013) (24)
Distributed-memory hierarchical interpolative factorization (2016) (21)
Additive Sweeping Preconditioner for the Helmholtz Equation (2015) (21)
Sweeping preconditioners for elastic wave propagation with spectral element methods (2014) (21)
Adaptively Compressed Polarizability Operator for Accelerating Large Scale Ab Initio Phonon Calculations (2016) (20)
A Parallel Directional Fast Multipole Method (2013) (20)
Scattering in Flatland: Efficient Representations via Wave Atoms (2008) (19)
Fast wave computation via Fourier integral operators (2012) (19)
Solving Inverse Wave Scattering with Deep Learning (2019) (18)
Robust and efficient multi-way spectral clustering (2016) (18)
Fast directional algorithms for the Helmholtz kernel (2010) (18)
Numerical methods for Kohn–Sham density functional theory (2019) (18)
Stochastic modified equations for the asynchronous stochastic gradient descent (2018) (18)
FAST METHOD FOR HIGH-FREQUENCY ACOUSTIC SCATTERING FROM RANDOM SCATTERERS (2011) (17)
Recursive Sweeping Preconditioner for the 3D Helmholtz Equation (2015) (17)
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations (2012) (16)
Tensor Network Skeletonization (2016) (16)
A Multiscale Butterfly Algorithm for Multidimensional Fourier Integral Operators (2014) (16)
Top-k eXtreme Contextual Bandits with Arm Hierarchy (2021) (15)
Convex Relaxation Approaches for Strictly Correlated Density Functional Theory (2018) (15)
Fast Computation of Partial Fourier Transforms (2008) (15)
Fast algorithms for integral formulations of steady-state radiative transfer equation (2018) (15)
Why resampling outperforms reweighting for correcting sampling bias (2020) (15)
On Linear Stability of SGD and Input-Smoothness of Neural Networks (2021) (14)
Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations (2018) (14)
Simple, direct and efficient multi-way spectral clustering (2018) (13)
Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality (2021) (13)
Optimized local basis set for Kohn-Sham density functional theory (2011) (13)
Efficient Construction of Tensor Ring Representations from Sampling (2017) (13)
An Entropic Fourier Method for the Boltzmann Equation (2017) (12)
The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations (2002) (12)
Analytical Low-Rank Compression via Proxy Point Selection (2019) (12)
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions (2011) (12)
The Multiscale Structure of Neural Network Loss Functions: The Effect on Optimization and Origin (2022) (12)
An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime (2021) (12)
A pedestrian introduction to fast multipole methods (2012) (12)
Solving Optical Tomography with Deep Learning (2019) (11)
Semidefinite Relaxation of Multimarginal Optimal Transport for Strictly Correlated Electrons in Second Quantization (2019) (11)
An Embedded Boundary Integral Solver for the Unsteady Incompressible Navier-Stokes Equations 1 (2002) (11)
Recursive Sweeping Preconditioner for the Three-Dimensional Helmholtz Equation (2016) (11)
Sparsify and Sweep: An Efficient Preconditioner for the Lippmann-Schwinger Equation (2017) (11)
A fast directional algorithm for high-frequency electromagnetic scattering (2011) (10)
Algorithmic shape modeling with subdivision surfaces (2002) (10)
A Technique for Updating Hierarchical Skeletonization-Based Factorizations of Integral Operators (2014) (10)
An embedded boundary integral solver for the unsteady incompressible Navier-Stokes equations: Technical report (2001) (9)
Hessian transport gradient flows (2019) (9)
Computing Localized Representations of the Kohn-Sham Subspace Via Randomization and Refinement (2016) (9)
A massively parallel adaptive fast multipole method on heterogeneous architectures (2012) (9)
A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation (2013) (9)
Sweeping Preconditioner For the 3D Helmholtz Equation (2011) (9)
Procedural shape synthesis on subdivision surfaces (2001) (9)
The Sobolev Regularization Effect of Stochastic Gradient Descent (2021) (8)
How to Learn when Data Gradually Reacts to Your Model (2021) (8)
A fast algorithm for 3D azimuthally anisotropic velocity scan (2015) (8)
A parallel sweeping preconditioner for high frequency heterogeneous 3D Helmholtz equations (2012) (7)
Fast algorithm for periodic density fitting for Bloch waves (2015) (7)
Lowrank finite-differences for wave extrapolation (2011) (7)
Fast Algorithms for Boundary Integral Equations (2009) (7)
High-dimensional wave atoms and compression of seismic data sets (2013) (7)
Accelerating selected columns of the density matrix computations via approximate column selection (2016) (6)
A fast algorithm for multilinear operators (2012) (6)
Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures (2014) (6)
Mirror Descent Algorithms for Minimizing Interacting Free Energy (2020) (6)
Operator Augmentation for Noisy Elliptic Systems (2020) (6)
Fast Directional Computation of High Frequency Boundary Integrals via Local FFTs (2014) (6)
Fast Algorithms for High Frequency Wave Propagation (2012) (6)
Stable factorization for phase factors of quantum signal processing (2022) (5)
Enterprise-Scale Search: Accelerating Inference for Sparse Extreme Multi-Label Ranking Trees (2021) (5)
Multi-Level Fine-Tuning: Closing Generalization Gaps in Approximation of Solution Maps under a Limited Budget for Training Data (2021) (5)
Element orbitals for Kohn-Sham density functional theory (2012) (5)
Sparsifying preconditioner for soliton calculations (2015) (5)
An Efficient and High-Order Accurate Boundary Integral Solver for the Stokes Equations in Three Dimensional Complex Geometries (2004) (5)
A fast direct solver for elliptic problems on Cartesian meshes in 3D (2010) (5)
Optimized local basis function for Kohn-Sham density functional theory (2011) (5)
Quasi-Newton policy gradient algorithms (2021) (5)
A Simple Multiscale Method for Mean Field Games (2020) (5)
Fast Directional Computation for the High Frequency Helmholtz Kernel in Two Dimensions (2008) (5)
Solving Traveltime Tomography with Deep Learning (2019) (5)
An embedded boundary integral solver for the stokes equations (2004) (4)
Monte Carlo Tree Search based Hybrid Optimization of Variational Quantum Circuits (2022) (4)
Efficient Long-Range Convolutions for Point Clouds (2020) (4)
Directional Preconditioner for 2D High Frequency Obstacle Scattering (2014) (4)
Borrowing From the Future: An Attempt to Address Double Sampling (2019) (4)
Synchrosqueezed Curvelet Transform for 2D Mode Decomposition (2013) (4)
A semigroup method for high dimensional committor functions based on neural network (2021) (4)
Maximizing robustness of point-set registration by leveraging non-convexity (2020) (4)
Solving for high dimensional committor functions using neural network with online approximation to derivatives (2020) (4)
Borrowing From the Future: Addressing Double Sampling in Model-free Control (2020) (3)
Analytic continuation from limited noisy Matsubara data (2022) (3)
Beyond the Quadratic Approximation: The Multiscale Structure of Neural Network Loss Landscapes (2022) (3)
A Note on Optimization Formulations of Markov Decision Processes (2020) (3)
Hierarchical Interpolative Factorization Preconditioner for Parabolic Equations (2020) (3)
Operator Augmentation for General Noisy Matrix Systems (2021) (3)
A fast algorithm for the energy space boson Boltzmann collision operator (2014) (3)
Lowrank one-step wave extrapolation for reverse-time migrationa (2016) (3)
Localized sparsifying preconditioner for periodic indefinite systems (2016) (2)
A kernel-independent fast multipole algorithm Technical Report TR 2003-839 1 (2003) (2)
A technique for updating hierarchical factorizations of integral operators (2014) (2)
A note on spike localization for line spectrum estimation (2023) (2)
Pole Expansion for Solving a Type of Parametrized Linear Systems in Electronic Structure Calculations (2013) (2)
On low-depth algorithms for quantum phase estimation (2023) (2)
Minimax Optimal Kernel Operator Learning via Multilevel Training (2022) (2)
Sparsifying preconditioner for the time-harmonic Maxwell's equations (2018) (2)
Entropy monotonic spectral method for Boltzmann equation (2017) (2)
A multiscale neural network based on hierarchical nested bases (2019) (2)
A semigroup method for high dimensional elliptic PDEs and eigenvalue problems based on neural networks (2021) (2)
Generative modeling via tree tensor network states (2022) (2)
Natural Gradient for Combined Loss Using Wavelets (2020) (2)
Provably convergent quasistatic dynamics for mean-field two-player zero-sum games (2022) (1)
On low-depth quantum algorithms for robust multiple-phase estimation (2023) (1)
Solving for high-dimensional committor functions using artificial neural networks (2018) (1)
Pole Recovery From Noisy Data on Imaginary Axis (2022) (1)
On the gradient flow structure of the isotropic Landau equation (2019) (1)
Operator Shifting for Noisy Elliptic Systems (2020) (1)
A Fast Butterfly Algorithm for the Hyperbolic Radon Transform (2012) (1)
Sobolev Acceleration and Statistical Optimality for Learning Elliptic Equations via Gradient Descent (2022) (1)
Achieving Adversarial Robustness Requires An Active Teacher (2020) (1)
Seismic Wave Extrapolation in Isotropic and Anisotropic Media using Lowrank Symbol Approximation (2011) (1)
Continuous-in-time Limit for Bayesian Bandits (2022) (1)
A butterfly algorithm for synthetic aperture radar (2011) (1)
Fast Hybrid Algorithms For High Frequency Scattering (2009) (1)
Operator Shifting for General Noisy Matrix Systems (2021) (1)
A Sharp Convergence Rate for the Asynchronous Stochastic Gradient Descent (2020) (0)
Correcting Convexity Bias in Function and Functional Estimate (2022) (0)
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations (2012) (0)
Research Statement Phase Flow Method Kernel Independent Fast Multipole Method (2005) (0)
SEG Annual Meeting, Houston Texas USA, 2013 (2013) (0)
Fast directional multilevel computation for problems with oscillatory kernels (2007) (0)
Approximate inversion of discrete Fourier integral operators (2021) (0)
Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controls (2022) (0)
W HY SELF - ATTENTION IS N ATURAL FOR S EQUENCE TO -S EQUENCE P ROBLEMS ? A P ERSPECTIVE FROM S YMMETRIES (2022) (0)
On Lyapunov functions and particle methods for regularized minimax problems (2022) (0)
Coarse-Proxy Reduced Basis Methods for Integral Equations (2019) (0)
Pole Recovery From Noisy Data on Imaginary Axis (2022) (0)
Distributed-memory hierarchical interpolative factorization (2017) (0)
Approximate Newton policy gradient algorithms (2021) (0)
representations via wave atoms (2009) (0)
Bayesian regularization of empirical MDPs (2022) (0)
A pedestrian introduction to fast multipole methods (2012) (0)
Why self-attention is Natural for Sequence-to-Sequence Problems? A Perspective from Symmetries (2022) (0)
1. Methods to Numerically Solve Wave Equations (2012) (0)
Annealed importance sampling for Ising models with mixed boundary conditions (2022) (0)
A parallel sweeping preconditioner for frequency-domain seismic wave propagation (2012) (0)
Accelerating Primal-dual Methods for Regularized Markov Decision Processes (2022) (0)
SEMIDEFINITE OPTIMAL TRANSPORT FOR STRICTLY CORRELATED ELECTRONS IN SECOND QUANTIZATION (2020) (0)
BJÖRN ENGQUIST AND (2009) (0)
The pole expansion and selected inversion technique for solving Kohn-Sham density functional theory at large scale (2013) (0)
A Heuristic Independent Particle Approximation to Determinantal Point Processes (2020) (0)
High-dimensional density estimation with tensorizing flow (2022) (0)
Distributed-memory H-matrix Algebra I: Data Distribution and Matrix-vector Multiplication (2020) (0)
Double Flip Move for Ising Models with Mixed Boundary Conditions (2022) (0)
DiaMonD: An Integrated Multifaceted Approach to Mathematics at the Interfaces of Data, Models, and Decisions (2019) (0)
Localized Sparsifying Preconditioner (2016) (0)
Hierarchical Low-rank Structure of Parameterized Distributions (2019) (0)
Natural Gradient for Combined Loss Using Wavelets (2021) (0)
Sweeping Preconditioner for the Helmholtz Equation: Artificial Perfectly Matched Layers (2010) (0)
Fast directional multilevel solver for integral formulations of wave scattering (2007) (0)
A sharp convergence rate for a model equation of the asynchronous stochastic gradient descent (2021) (0)
Operator Shifting for Model-based Policy Evaluation (2021) (0)
Computing Free Convolutions via Contour Integrals (2023) (0)
Distributed-memoryH-matrix Algebra I: Data distribution and matrix-vector multiplication (2020) (0)
A fast algorithm for reiterated homogenization (2013) (0)
Solving PDE problems with uncertainty using neural-networks (2018) (0)
A⋆MCTS: SEARCH WITH THEORETICAL GUARANTEE USING POLICY AND VALUE FUNCTIONS (2019) (0)
Distributed-Memory $\mathscr{H}$-Matrix Algebra I: Data Distribution and Matrix-Vector Multiplication (2021) (0)
Operator Augmentation for Model-based Policy Evaluation (2021) (0)
On efficient quantum block encoding of pseudo-differential operators (2023) (0)
Combining resampling and reweighting for faithful stochastic optimization (2021) (0)
Variational Actor-Critic Algorithms (2021) (0)
Distributed-memory $\mathcal{H}$-matrix Algebra I: Data Distribution and Matrix-vector Multiplication (2020) (0)
Mean Field Models for Neural Networks in Teacher-student Setting (2019) (0)
A Riemannian mean field formulation for two-layer neural networks with batch normalization (2021) (0)
Shrinkage Estimation of Functions of Large Noisy Symmetric Matrices (2021) (0)
Adaptively compressed polarizability operator for accelerating large scale \textit{ab initio} phonon calculations (2016) (0)

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What Schools Are Affiliated With Lexing Ying?

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Lexing Ying's Academic­Influence.com Rankings