Fast construction of hierarchical matrix representation from matrix-vector multiplication. - Lin Lin 001; Jianfeng Lu 001; Lexing Ying (J. Comput. Phys., 2011)

Multiscale modeling. - Weinan E; Jianfeng Lu 001 (Scholarpedia, 2011)

A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations. - Lin Lin 001; Chao Yang 001; Jianfeng Lu 001; Lexing Ying; Weinan E (SIAM J. Sci. Comput., 2011)

SelInv - An Algorithm for Selected Inversion of a Sparse Symmetric Matrix. - Lin Lin 001; Chao Yang 001; Juan C. Meza; Jianfeng Lu 001; Lexing Ying; Weinan E (ACM Trans. Math. Softw., 2011)

The Landscape of Complex Networks - Weinan E; Jianfeng Lu 001; Yuan Yao (CoRR, 2012)

Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation. - Lin Lin 001; Jianfeng Lu 001; Lexing Ying; Weinan E (J. Comput. Phys., 2012)

Optimized local basis set for Kohn-Sham density functional theory. - Lin Lin 001; Jianfeng Lu 001; Lexing Ying; Weinan E (J. Comput. Phys., 2012)

Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods. - Jianfeng Lu 001; Xu Yang 018 (Multiscale Model. Simul., 2012)

Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics. - Lin Lin 001; Jianfeng Lu 001; Sihong Shao (Entropy, 2014)

Stability Of A Force-Based Hybrid Method With Planar Sharp Interface. - Jianfeng Lu 001; Pingbing Ming (SIAM J. Numer. Anal., 2014)

Classification of whale vocalizations using the Weyl transform. - Yin Xian; Andrew Thompson 001; Qiang Qiu 001; Loren W. Nolte; Douglas Nowacek; Jianfeng Lu 001; A. Robert Calderbank (ICASSP, 2015)

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics. - Qin Li 007; Jianfeng Lu 001; Weiran Sun (J. Comput. Phys., 2015)

Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation. - Jianfeng Lu 001; Christian B. Mendl (J. Comput. Phys., 2015)

Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. - Jianfeng Lu 001; Lexing Ying (J. Comput. Phys., 2015)

Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene. - Jianfeng Lu 001; Vitaly Moroz; Cyrill B. Muratov (J. Nonlinear Sci., 2015)

Crystal Image Analysis Using 2D Synchrosqueezed Transforms. - Haizhao Yang; Jianfeng Lu 001; Lexing Ying (Multiscale Model. Simul., 2015)

Efficient Rare Event Simulation for Failure Problems in Random Media. - Jingchen Liu; Jianfeng Lu 001; Xiang Zhou 001 (SIAM J. Sci. Comput., 2015)

Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation. - Haizhao Yang; Jianfeng Lu 001; William P. Brown; Ingrid Daubechies; Lexing Ying (IEEE Signal Process. Mag., 2015)

Localized density matrix minimization and linear-scaling algorithms. - Rongjie Lai; Jianfeng Lu 001 (J. Comput. Phys., 2016)

Sparsifying preconditioner for soliton calculations. - Jianfeng Lu 001; Lexing Ying (J. Comput. Phys., 2016)

Analysis of the divide-and-conquer method for electronic structure calculations. - Jingrun Chen; Jianfeng Lu 001 (Math. Comput., 2016)

Gauge-Invariant Frozen Gaussian Approximation Method for the Schrödinger Equation with Periodic Potentials. - Ricardo Delgadillo; Jianfeng Lu 001; Xu Yang 018 (SIAM J. Sci. Comput., 2016)

Orbital minimization method with ℓ1 regularization. - Jianfeng Lu 001; Kyle Thicke (J. Comput. Phys., 2017)

Cubic scaling algorithms for RPA correlation using interpolative separable density fitting. - Jianfeng Lu 001; Kyle Thicke (J. Comput. Phys., 2017)

A cubic scaling algorithm for excited states calculations in particle-particle random phase approximation. - Jianfeng Lu 001; Haizhao Yang (J. Comput. Phys., 2017)

Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces. - Yuan Gao 004; Jian-Guo Liu 006; Jianfeng Lu 001 (J. Nonlinear Sci., 2017)

An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients. - Qin Li 007; Jianfeng Lu 001 (Multiscale Model. Simul., 2017)

Preconditioning Orbital Minimization Method for Planewave Discretization. - Jianfeng Lu 001; Haizhao Yang (Multiscale Model. Simul., 2017)

Half-space kinetic equations with general boundary conditions. - Qin Li 007; Jianfeng Lu 001; Weiran Sun (Math. Comput., 2017)

Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime. - Yuan Gao 004; Jian-Guo Liu 006; Jianfeng Lu 001 (SIAM J. Math. Anal., 2017)

Quasi-nonlocal Coupling of Nonlocal Diffusions. - Xingjie Helen Li 001; Jianfeng Lu 001 (SIAM J. Numer. Anal., 2017)

Removal of Canvas Patterns in Digital Acquisitions of Paintings. - Bruno Cornelis; Haizhao Yang; Alex Goodfriend; Noelle Ocon; Jianfeng Lu 001; Ingrid Daubechies (IEEE Trans. Image Process., 2017)

Frozen Gaussian approximation for high frequency wave propagation in periodic media. - Ricardo Delgadillo; Jianfeng Lu 001; Xu Yang 018 (Asymptot. Anal., 2018)

Solving for high dimensional committor functions using artificial neural networks. - Yuehaw Khoo; Jianfeng Lu 001; Lexing Ying (CoRR, 2018)

Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks. - Yingzhou Li; Xiuyuan Cheng; Jianfeng Lu 001 (CoRR, 2018)

Stochastic modified equations for the asynchronous stochastic gradient descent. - Jing An; Jianfeng Lu 001; Lexing Ying (CoRR, 2018)

ELSI: A unified software interface for Kohn-Sham electronic structure solvers. - Victor Wen-zhe Yu; Fabiano Corsetti; Alberto García; William P. Huhn; Mathias Jacquelin; Weile Jia; Björn Lange; Lin Lin 001; Jianfeng Lu 001; Wenhui Mi; Ali Seifitokaldani; Álvaro Vázquez-Mayagoitia; et al. (Comput. Phys. Commun., 2018)

Stochastic dynamical low-rank approximation method. - Yu Cao 005; Jianfeng Lu 001 (J. Comput. Phys., 2018)

A Concurrent Global-Local Numerical Method for Multiscale PDEs. - Yufang Huang; Jianfeng Lu 001; Pingbing Ming (J. Sci. Comput., 2018)

A Diabatic Surface Hopping Algorithm Based on Time Dependent Perturbation Theory and Semiclassical Analysis. - Di Fang 003; Jianfeng Lu 001 (Multiscale Model. Simul., 2018)

Point Cloud Discretization of Fokker-Planck Operators for Committor Functions. - Rongjie Lai; Jianfeng Lu 001 (Multiscale Model. Simul., 2018)

Analysis of Multiscale Integrators for Multiple Attractors and Irreversible Langevin Samplers. - Jianfeng Lu 001; Konstantinos Spiliopoulos (Multiscale Model. Simul., 2018)

Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms. - Jianfeng Lu 001; Zhennan Zhou (Math. Comput., 2018)

Phase-Space Sketching for Crystal Image Analysis Based on Synchrosqueezed Transforms. - Jianfeng Lu 001; Haizhao Yang (SIAM J. Imaging Sci., 2018)

A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models. - Qiang Du 001; Xingjie Helen Li 001; Jianfeng Lu 001; Xiaochuan Tian (SIAM J. Numer. Anal., 2018)

A Quantum Kinetic Monte Carlo Method for Quantum Many-Body Spin Dynamics. - Zhenning Cai; Jianfeng Lu 001 (SIAM J. Sci. Comput., 2018)

A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems. - Zhenning Cai; Jianfeng Lu 001 (SIAM J. Sci. Comput., 2018)

Numerical methods for Kohn-Sham density functional theory. - Lin Lin 001; Jianfeng Lu 001; Lexing Ying (Acta Numer., 2019)

A stochastic version of Stein Variational Gradient Descent for efficient sampling. - Lei Li 006; Jian-Guo Liu 006; Zibu Liu; Jianfeng Lu 001 (CoRR, 2019)

Accelerating Langevin Sampling with Birth-death. - Yulong Lu; Jianfeng Lu 001; James Nolen (CoRR, 2019)

A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (CoRR, 2019)

Universal approximation of symmetric and anti-symmetric functions. - Jiequn Han; Yingzhou Li; Lin Lin 001; Jianfeng Lu 001; Jiefu Zhang; Linfeng Zhang 002 (CoRR, 2019)

A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer. - Hongxu Chen; Qin Li 007; Jianfeng Lu 001 (J. Comput. Phys., 2019)

Trigonometric integrators for quasilinear wave equations. - Ludwig Gauckler; Jianfeng Lu 001; Jeremy Louis Marzuola; Frederic Rousset; Katharina Schratz (Math. Comput., 2019)

Tensorization of the strong data processing inequality for quantum chi-square divergences. - Yu Cao 005; Jianfeng Lu 001 (Quantum, 2019)

Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime. - Jianfeng Lu 001; Yulong Lu; James Nolen (SIAM J. Math. Anal., 2019)

CoordinateWise Descent Methods for Leading Eigenvalue Problem. - Yingzhou Li; Jianfeng Lu 001; Zhe Wang 030 (SIAM J. Sci. Comput., 2019)

Stop Memorizing: A Data-Dependent Regularization Framework for Intrinsic Pattern Learning. - Wei Zhu 007; Qiang Qiu 001; Bao Wang 001; Jianfeng Lu 001; Guillermo Sapiro; Ingrid Daubechies (SIAM J. Math. Data Sci., 2019)

A Mean Field Analysis Of Deep ResNet And Beyond: Towards Provably Optimization Via Overparameterization From Depth. - Yiping Lu 001; Chao Ma 012; Yulong Lu; Jianfeng Lu 001; Lexing Ying (ICML, 2020)

A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions. - Yulong Lu; Jianfeng Lu 001 (NeurIPS, 2020)

Estimating normalizing constants for log-concave distributions: algorithms and lower bounds. - Rong Ge 001; Holden Lee; Jianfeng Lu 001 (STOC, 2020)

Non-Convex Planar Harmonic Maps. - Shahar Z. Kovalsky; Noam Aigerman; Ingrid Daubechies; Michael Kazhdan; Jianfeng Lu 001; Stefan Steinerberger (CoRR, 2020)

Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds. - Zhiyan Ding; Qin Li 007; Jianfeng Lu 001 (CoRR, 2020)

A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth. - Yiping Lu 001; Chao Ma 012; Yulong Lu; Jianfeng Lu 001; Lexing Ying (CoRR, 2020)

Complexity of randomized algorithms for underdamped Langevin dynamics. - Yu Cao 005; Jianfeng Lu 001; Lihan Wang (CoRR, 2020)

A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions. - Yulong Lu; Jianfeng Lu 001 (CoRR, 2020)

Stable Phase Retrieval from Locally Stable and Conditionally Connected Measurements. - Cheng Cheng; Ingrid Daubechies; Nadav Dym; Jianfeng Lu 001 (CoRR, 2020)

A Proximal-Gradient Algorithm for Crystal Surface Evolution. - Katy Craig; Jian-Guo Liu 006; Jianfeng Lu 001; Jeremy Louis Marzuola; Li Wang 036 (CoRR, 2020)

Neural Collapse with Cross-Entropy Loss. - Jianfeng Lu 001; Stefan Steinerberger (CoRR, 2020)

ELSI - An open infrastructure for electronic structure solvers. - Victor Wen-zhe Yu; Carmen Campos; William Dawson; Alberto García; Ville Havu; Ben Hourahine; William P. Huhn; Mathias Jacquelin; Weile Jia; Murat Keçeli; Raul Laasner; Yingzhou Li; et al. (Comput. Phys. Commun., 2020)

Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach. - Jiequn Han; Jianfeng Lu 001; Mo Zhou (J. Comput. Phys., 2020)

Variational training of neural network approximations of solution maps for physical models. - Yingzhou Li; Jianfeng Lu 001; Anqi Mao (J. Comput. Phys., 2020)

Fisher information regularization schemes for Wasserstein gradient flows. - Wuchen Li; Jianfeng Lu 001; Li Wang 036 (J. Comput. Phys., 2020)

Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics. - Jianfeng Lu 001; Yulong Lu; Zhennan Zhou (J. Comput. Phys., 2020)

Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (Multiscale Model. Simul., 2020)

Dirac Operators and Domain Walls. - Jianfeng Lu 001; Alexander B. Watson; Michael I. Weinstein (SIAM J. Math. Anal., 2020)

Tensor Ring Decomposition: Optimization Landscape and One-loop Convergence of Alternating Least Squares. - Ziang Chen; Yingzhou Li; Jianfeng Lu 001 (SIAM J. Matrix Anal. Appl., 2020)

Random Sampling and Efficient Algorithms for Multiscale PDEs. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (SIAM J. Sci. Comput., 2020)

The Full Configuration Interaction Quantum Monte Carlo Method through the Lens of Inexact Power Iteration. - Jianfeng Lu 001; Zhe Wang 030 (SIAM J. Sci. Comput., 2020)

Random Coordinate Underdamped Langevin Monte Carlo. - Zhiyan Ding; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (AISTATS, 2021)

Efficient sampling from the Bingham distribution. - Rong Ge 001; Holden Lee; Jianfeng Lu 001; Andrej Risteski (ALT, 2021)

Random Coordinate Langevin Monte Carlo. - Zhiyan Ding; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (COLT, 2021)

A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations. - Yulong Lu; Jianfeng Lu 001; Min Wang (COLT, 2021)

On the Representation of Solutions to Elliptic PDEs in Barron Spaces. - Ziang Chen; Jianfeng Lu 001; Yulong Lu (NeurIPS, 2021)

On the global convergence of randomized coordinate gradient descent for non-convex optimization. - Ziang Chen; Yingzhou Li; Jianfeng Lu 001 (CoRR, 2021)

A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations. - Jianfeng Lu 001; Yulong Lu; Min Wang (CoRR, 2021)

A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems. - Jianfeng Lu 001; Yulong Lu (CoRR, 2021)

Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media. - Jianfeng Lu 001; Felix Otto; Lihan Wang (CoRR, 2021)

Low-rank approximation for multiscale PDEs. - Ke Chen; Shi Chen 003; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (CoRR, 2021)

Optimal Artificial Boundary Condition for Random Elliptic Media. - Jianfeng Lu 001; Felix Otto (Found. Comput. Math., 2021)

Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation. - Dong An; Sara Y. Cheng; Teresa Head-Gordon; Lin Lin 001; Jianfeng Lu 001 (J. Comput. Phys., 2021)

A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (Multiscale Model. Simul., 2021)

Efficient Construction of Tensor Ring Representations from Sampling. - Yuehaw Khoo; Jianfeng Lu 001; Lexing Ying (Multiscale Model. Simul., 2021)

Deep Network Approximation for Smooth Functions. - Jianfeng Lu 001; Zuowei Shen; Haizhao Yang; Shijun Zhang (SIAM J. Math. Anal., 2021)

Computing Edge States without Hard Truncation. - Kyle Thicke; Alexander B. Watson; Jianfeng Lu 001 (SIAM J. Sci. Comput., 2021)

Actor-Critic Method for High Dimensional Static Hamilton-Jacobi-Bellman Partial Differential Equations based on Neural Networks. - Mo Zhou; Jiequn Han; Jianfeng Lu 001 (SIAM J. Sci. Comput., 2021)

Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality. - Yiping Lu 001; Haoxuan Chen; Jianfeng Lu 001; Lexing Ying; Jose H. Blanchet (ICLR, 2022)

Convergence for score-based generative modeling with polynomial complexity. - Holden Lee; Jianfeng Lu 001; Yixin Tan (NeurIPS, 2022)

A Regularity Theory for Static Schrödinger Equations on Rd in Spectral Barron Spaces. - Ziang Chen; Jianfeng Lu 001; Yulong Lu; Shengxuan Zhou (CoRR, 2022)

Single Time-scale Actor-critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees. - Mo Zhou; Jianfeng Lu 001 (CoRR, 2022)

Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits. - Zhenning Cai; Di Fang 003; Jianfeng Lu 001 (CoRR, 2022)

Neural Network Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions. - Jianfeng Lu 001; Min Wang (CoRR, 2022)

Vector-wise Joint Diagonalization of Almost Commuting Matrices. - Bowen Li 003; Jianfeng Lu 001; Ziang Yu (CoRR, 2022)

A deep learning framework for geodesics under spherical Wasserstein-Fisher-Rao metric and its application for weighted sample generation. - Yang Jing; Jiaheng Chen; Lei Li 006; Jianfeng Lu 001 (CoRR, 2022)

On Representing Linear Programs by Graph Neural Networks. - Ziang Chen; Jialin Liu 003; Xinshang Wang; Jianfeng Lu 001; Wotao Yin (CoRR, 2022)

On Representing Mixed-Integer Linear Programs by Graph Neural Networks. - Ziang Chen; Jialin Liu 003; Xinshang Wang; Jianfeng Lu 001; Wotao Yin (CoRR, 2022)

Fast algorithms of bath calculations in simulations of quantum system-bath dynamics. - Zhenning Cai; Jianfeng Lu 001; Siyao Yang (Comput. Phys. Commun., 2022)

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule. - Michael J. Holst; Houdong Hu; Jianfeng Lu 001; Jeremy Louis Marzuola; Duo Song; Jonathan Weare (J. Nonlinear Sci., 2022)

Fast Localization of Eigenfunctions via Smoothed Potentials. - Jianfeng Lu 001; Cody Murphey; Stefan Steinerberger (J. Sci. Comput., 2022)

A proximal-gradient algorithm for crystal surface evolution. - Katy Craig; Jian-Guo Liu 006; Jianfeng Lu 001; Jeremy Louis Marzuola; Li Wang 101 (Numerische Mathematik, 2022)

Complexity of zigzag sampling algorithm for strongly log-concave distributions. - Jianfeng Lu 001; Lihan Wang (Stat. Comput., 2022)

Defect Resonances of Truncated Crystal Structures. - Jianfeng Lu 001; Jeremy Louis Marzuola; Alexander B. Watson (SIAM J. Appl. Math., 2022)

Manifold Learning and Nonlinear Homogenization. - Shi Chen 003; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (Multiscale Model. Simul., 2022)

Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. - Zhenning Cai; Jianfeng Lu 001; Siyao Yang (Math. Comput., 2022)

HeteRSGD: Tackling Heterogeneous Sampling Costs via Optimal Reweighted Stochastic Gradient Descent. - Ziang Chen; Jianfeng Lu 001; Huajie Qian; Xinshang Wang; Wotao Yin (AISTATS, 2023)

Convergence of score-based generative modeling for general data distributions. - Holden Lee; Jianfeng Lu 001; Yixin Tan (ALT, 2023)

Improved Analysis of Score-based Generative Modeling: User-Friendly Bounds under Minimal Smoothness Assumptions. - Hongrui Chen; Holden Lee; Jianfeng Lu 001 (ICML, 2023)

Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective. - Tanya Marwah; Zachary Chase Lipton; Jianfeng Lu 001; Andrej Risteski (ICML, 2023)

On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network. - Shijun Zhang; Jianfeng Lu 001; Hongkai Zhao (ICML, 2023)

The probability flow ODE is provably fast. - Sitan Chen; Sinho Chewi; Holden Lee; Yuanzhi Li; Jianfeng Lu 001; Adil Salim (NeurIPS, 2023)

Deep Equilibrium Based Neural Operators for Steady-State PDEs. - Tanya Marwah; Ashwini Pokle; J. Zico Kolter; Zachary C. Lipton; Jianfeng Lu 001; Andrej Risteski (NeurIPS, 2023)

A Policy Gradient Framework for Stochastic Optimal Control Problems with Global Convergence Guarantee. - Mo Zhou; Jianfeng Lu 001 (CoRR, 2023)

Convergence of stochastic gradient descent under a local Lajasiewicz condition for deep neural networks. - Jing An; Jianfeng Lu 001 (CoRR, 2023)

Quantum variational embedding for ground-state energy problems: sum of squares and cluster selection. - Bowen Li 003; Jianfeng Lu 001 (CoRR, 2023)

Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank. - Tianmin Yu; Shixin Zheng; Jianfeng Lu 001; Govind Menon; Xiangxiong Zhang (CoRR, 2023)

Single Timescale Actor-Critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees. - Mo Zhou; Jianfeng Lu 001 (J. Mach. Learn. Res., 2023)

On the Global Convergence of Randomized Coordinate Gradient Descent for Nonconvex Optimization. - Ziang Chen; Yingzhou Li; Jianfeng Lu 001 (SIAM J. Optim., 2023)

Edge State Dynamics Along Curved Interfaces. - Guillaume Bal; Simon Becker; Alexis Drouot; Clotilde Fermanian Kammerer; Jianfeng Lu 001; Alexander B. Watson (SIAM J. Math. Anal., 2023)

What does guidance do? A fine-grained analysis in a simple setting. - Muthu Chidambaram; Khashayar Gatmiry; Sitan Chen; Holden Lee; Jianfeng Lu 001 (NeurIPS, 2024)

Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. - Ziang Chen; Jianfeng Lu 001; Yulong Lu; Xiangxiong Zhang (CoRR, 2024)

Posterior sampling via Langevin dynamics based on generative priors. - Vishal Purohit; Matthew Repasky; Jianfeng Lu 001; Qiang Qiu 001; Yao Xie 002; Xiuyuan Cheng (CoRR, 2024)

Towards characterizing the value of edge embeddings in Graph Neural Networks. - Dhruv Rohatgi; Tanya Marwah; Zachary Chase Lipton; Jianfeng Lu 001; Ankur Moitra; Andrej Risteski (CoRR, 2024)

Score-based transport modeling for mean-field Fokker-Planck equations. - Jianfeng Lu 001; Yue Wu; Yang Xiang (J. Comput. Phys., 2024)

Deep Network Approximation: Beyond ReLU to Diverse Activation Functions. - Shijun Zhang; Jianfeng Lu 001; Hongkai Zhao (J. Mach. Learn. Res., 2024)

One-Dimensional Tensor Network Recovery. - Ziang Chen; Jianfeng Lu 001; Anru Zhang (SIAM J. Matrix Anal. Appl., 2024)

On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem. - Ziang Chen; Jianfeng Lu 001; Yulong Lu; Xiangxiong Zhang (SIAM J. Numer. Anal., 2024)

A Machine Learning Framework for Geodesics Under Spherical Wasserstein-Fisher-Rao Metric and Its Application for Weighted Sample Generation. - Yang Jing; Jiaheng Chen; Lei Li 006; Jianfeng Lu 001 (J. Sci. Comput., 2024)

Locality of the windowed local density of states. - Terry A. Loring; Jianfeng Lu 001; Alexander B. Watson (Numerische Mathematik, 2024)

Convergence of Flow-Based Generative Models via Proximal Gradient Descent in Wasserstein Space. - Xiuyuan Cheng; Jianfeng Lu 001; Yixin Tan; Yao Xie 002 (IEEE Trans. Inf. Theory, 2024)

Consistency Posterior Sampling for Diverse Image Synthesis. - Vishal Purohit; Matthew Repasky; Jianfeng Lu 001; Qiang Qiu 001; Yao Xie 002; Xiuyuan Cheng (CVPR, 2025)

Diffusion methods for generating transition paths. - Luke Triplett; Jianfeng Lu 001 (J. Comput. Phys., 2025)

Structure-Preserving Numerical Schemes for Lindblad Equations. - Yu Cao 005; Jianfeng Lu 001 (J. Sci. Comput., 2025)