Jianfeng Lu

Orcid: 0000-0001-6255-5165

Affiliations:
  • Duke University, Durham, NC, USA
  • New York University, Department of Mathematics, NY, USA (former)


According to our database1, Jianfeng Lu authored at least 138 papers between 2011 and 2024.

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Bibliography

2024
Convergence of Flow-Based Generative Models via Proximal Gradient Descent in Wasserstein Space.
IEEE Trans. Inf. Theory, November, 2024

Locality of the windowed local density of states.
Numerische Mathematik, April, 2024

A Machine Learning Framework for Geodesics Under Spherical Wasserstein-Fisher-Rao Metric and Its Application for Weighted Sample Generation.
J. Sci. Comput., January, 2024

On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem.
SIAM J. Numer. Anal., 2024

One-Dimensional Tensor Network Recovery.
SIAM J. Matrix Anal. Appl., 2024

Deep Network Approximation: Beyond ReLU to Diverse Activation Functions.
J. Mach. Learn. Res., 2024

Score-based transport modeling for mean-field Fokker-Planck equations.
J. Comput. Phys., 2024

Towards characterizing the value of edge embeddings in Graph Neural Networks.
CoRR, 2024

Posterior sampling via Langevin dynamics based on generative priors.
CoRR, 2024

What does guidance do? A fine-grained analysis in a simple setting.
CoRR, 2024

Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem.
CoRR, 2024

2023
Edge State Dynamics Along Curved Interfaces.
SIAM J. Math. Anal., October, 2023

On the Global Convergence of Randomized Coordinate Gradient Descent for Nonconvex Optimization.
SIAM J. Optim., 2023

Single Timescale Actor-Critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees.
J. Mach. Learn. Res., 2023

Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank.
CoRR, 2023

Quantum variational embedding for ground-state energy problems: sum of squares and cluster selection.
CoRR, 2023

Convergence of stochastic gradient descent under a local Lajasiewicz condition for deep neural networks.
CoRR, 2023

A Policy Gradient Framework for Stochastic Optimal Control Problems with Global Convergence Guarantee.
CoRR, 2023

Deep Equilibrium Based Neural Operators for Steady-State PDEs.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

The probability flow ODE is provably fast.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network.
Proceedings of the International Conference on Machine Learning, 2023

Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective.
Proceedings of the International Conference on Machine Learning, 2023

Improved Analysis of Score-based Generative Modeling: User-Friendly Bounds under Minimal Smoothness Assumptions.
Proceedings of the International Conference on Machine Learning, 2023

Convergence of score-based generative modeling for general data distributions.
Proceedings of the International Conference on Algorithmic Learning Theory, 2023

HeteRSGD: Tackling Heterogeneous Sampling Costs via Optimal Reweighted Stochastic Gradient Descent.
Proceedings of the International Conference on Artificial Intelligence and Statistics, 2023

2022
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth.
Math. Comput., November, 2022

Manifold Learning and Nonlinear Homogenization.
Multiscale Model. Simul., September, 2022

Defect Resonances of Truncated Crystal Structures.
SIAM J. Appl. Math., 2022

Complexity of zigzag sampling algorithm for strongly log-concave distributions.
Stat. Comput., 2022

A proximal-gradient algorithm for crystal surface evolution.
Numerische Mathematik, 2022

Fast Localization of Eigenfunctions via Smoothed Potentials.
J. Sci. Comput., 2022

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule.
J. Nonlinear Sci., 2022

Fast algorithms of bath calculations in simulations of quantum system-bath dynamics.
Comput. Phys. Commun., 2022

On Representing Mixed-Integer Linear Programs by Graph Neural Networks.
CoRR, 2022

On Representing Linear Programs by Graph Neural Networks.
CoRR, 2022

A deep learning framework for geodesics under spherical Wasserstein-Fisher-Rao metric and its application for weighted sample generation.
CoRR, 2022

Vector-wise Joint Diagonalization of Almost Commuting Matrices.
CoRR, 2022

Neural Network Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions.
CoRR, 2022

Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits.
CoRR, 2022

Single Time-scale Actor-critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees.
CoRR, 2022

A Regularity Theory for Static Schrödinger Equations on R<sup>d</sup> in Spectral Barron Spaces.
CoRR, 2022

Convergence for score-based generative modeling with polynomial complexity.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality.
Proceedings of the Tenth International Conference on Learning Representations, 2022

2021
Actor-Critic Method for High Dimensional Static Hamilton-Jacobi-Bellman Partial Differential Equations based on Neural Networks.
SIAM J. Sci. Comput., 2021

Computing Edge States without Hard Truncation.
SIAM J. Sci. Comput., 2021

Deep Network Approximation for Smooth Functions.
SIAM J. Math. Anal., 2021

Efficient Construction of Tensor Ring Representations from Sampling.
Multiscale Model. Simul., 2021

A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient.
Multiscale Model. Simul., 2021

Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation.
J. Comput. Phys., 2021

Optimal Artificial Boundary Condition for Random Elliptic Media.
Found. Comput. Math., 2021

Low-rank approximation for multiscale PDEs.
CoRR, 2021

Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media.
CoRR, 2021

A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems.
CoRR, 2021

A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations.
CoRR, 2021

On the global convergence of randomized coordinate gradient descent for non-convex optimization.
CoRR, 2021

On the Representation of Solutions to Elliptic PDEs in Barron Spaces.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations.
Proceedings of the Conference on Learning Theory, 2021

Random Coordinate Langevin Monte Carlo.
Proceedings of the Conference on Learning Theory, 2021

Efficient sampling from the Bingham distribution.
Proceedings of the Algorithmic Learning Theory, 2021

Random Coordinate Underdamped Langevin Monte Carlo.
Proceedings of the 24th International Conference on Artificial Intelligence and Statistics, 2021

2020
The Full Configuration Interaction Quantum Monte Carlo Method through the Lens of Inexact Power Iteration.
SIAM J. Sci. Comput., 2020

Random Sampling and Efficient Algorithms for Multiscale PDEs.
SIAM J. Sci. Comput., 2020

Tensor Ring Decomposition: Optimization Landscape and One-loop Convergence of Alternating Least Squares.
SIAM J. Matrix Anal. Appl., 2020

Dirac Operators and Domain Walls.
SIAM J. Math. Anal., 2020

Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods.
Multiscale Model. Simul., 2020

Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics.
J. Comput. Phys., 2020

Fisher information regularization schemes for Wasserstein gradient flows.
J. Comput. Phys., 2020

Variational training of neural network approximations of solution maps for physical models.
J. Comput. Phys., 2020

Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach.
J. Comput. Phys., 2020

ELSI - An open infrastructure for electronic structure solvers.
Comput. Phys. Commun., 2020

Neural Collapse with Cross-Entropy Loss.
CoRR, 2020

A Proximal-Gradient Algorithm for Crystal Surface Evolution.
CoRR, 2020

Stable Phase Retrieval from Locally Stable and Conditionally Connected Measurements.
CoRR, 2020

A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions.
CoRR, 2020

Complexity of randomized algorithms for underdamped Langevin dynamics.
CoRR, 2020

A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth.
CoRR, 2020

Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds.
CoRR, 2020

Non-Convex Planar Harmonic Maps.
CoRR, 2020

Estimating normalizing constants for log-concave distributions: algorithms and lower bounds.
Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing, 2020

A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

A Mean Field Analysis Of Deep ResNet And Beyond: Towards Provably Optimization Via Overparameterization From Depth.
Proceedings of the 37th International Conference on Machine Learning, 2020

2019
Stop Memorizing: A Data-Dependent Regularization Framework for Intrinsic Pattern Learning.
SIAM J. Math. Data Sci., 2019

CoordinateWise Descent Methods for Leading Eigenvalue Problem.
SIAM J. Sci. Comput., 2019

Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime.
SIAM J. Math. Anal., 2019

Trigonometric integrators for quasilinear wave equations.
Math. Comput., 2019

A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer.
J. Comput. Phys., 2019

Universal approximation of symmetric and anti-symmetric functions.
CoRR, 2019

A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient.
CoRR, 2019

Accelerating Langevin Sampling with Birth-death.
CoRR, 2019

A stochastic version of Stein Variational Gradient Descent for efficient sampling.
CoRR, 2019

Numerical methods for Kohn-Sham density functional theory.
Acta Numer., 2019

2018
A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems.
SIAM J. Sci. Comput., 2018

A Quantum Kinetic Monte Carlo Method for Quantum Many-Body Spin Dynamics.
SIAM J. Sci. Comput., 2018

A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models.
SIAM J. Numer. Anal., 2018

Phase-Space Sketching for Crystal Image Analysis Based on Synchrosqueezed Transforms.
SIAM J. Imaging Sci., 2018

Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms.
Math. Comput., 2018

Analysis of Multiscale Integrators for Multiple Attractors and Irreversible Langevin Samplers.
Multiscale Model. Simul., 2018

Point Cloud Discretization of Fokker-Planck Operators for Committor Functions.
Multiscale Model. Simul., 2018

A Diabatic Surface Hopping Algorithm Based on Time Dependent Perturbation Theory and Semiclassical Analysis.
Multiscale Model. Simul., 2018

A Concurrent Global-Local Numerical Method for Multiscale PDEs.
J. Sci. Comput., 2018

Stochastic dynamical low-rank approximation method.
J. Comput. Phys., 2018

ELSI: A unified software interface for Kohn-Sham electronic structure solvers.
Comput. Phys. Commun., 2018

Stochastic modified equations for the asynchronous stochastic gradient descent.
CoRR, 2018

Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks.
CoRR, 2018

Solving for high dimensional committor functions using artificial neural networks.
CoRR, 2018

Frozen Gaussian approximation for high frequency wave propagation in periodic media.
Asymptot. Anal., 2018

2017
Removal of Canvas Patterns in Digital Acquisitions of Paintings.
IEEE Trans. Image Process., 2017

Quasi-nonlocal Coupling of Nonlocal Diffusions.
SIAM J. Numer. Anal., 2017

Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime.
SIAM J. Math. Anal., 2017

Half-space kinetic equations with general boundary conditions.
Math. Comput., 2017

Preconditioning Orbital Minimization Method for Planewave Discretization.
Multiscale Model. Simul., 2017

An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients.
Multiscale Model. Simul., 2017

Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.
J. Nonlinear Sci., 2017

A cubic scaling algorithm for excited states calculations in particle-particle random phase approximation.
J. Comput. Phys., 2017

Cubic scaling algorithms for RPA correlation using interpolative separable density fitting.
J. Comput. Phys., 2017

Orbital minimization method with ℓ<sup>1</sup> regularization.
J. Comput. Phys., 2017

2016
Gauge-Invariant Frozen Gaussian Approximation Method for the Schrödinger Equation with Periodic Potentials.
SIAM J. Sci. Comput., 2016

Analysis of the divide-and-conquer method for electronic structure calculations.
Math. Comput., 2016

Sparsifying preconditioner for soliton calculations.
J. Comput. Phys., 2016

Localized density matrix minimization and linear-scaling algorithms.
J. Comput. Phys., 2016

2015
Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation.
IEEE Signal Process. Mag., 2015

Efficient Rare Event Simulation for Failure Problems in Random Media.
SIAM J. Sci. Comput., 2015

Crystal Image Analysis Using 2D Synchrosqueezed Transforms.
Multiscale Model. Simul., 2015

Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene.
J. Nonlinear Sci., 2015

Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost.
J. Comput. Phys., 2015

Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation.
J. Comput. Phys., 2015

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics.
J. Comput. Phys., 2015

Classification of whale vocalizations using the Weyl transform.
Proceedings of the 2015 IEEE International Conference on Acoustics, 2015

2014
Stability Of A Force-Based Hybrid Method With Planar Sharp Interface.
SIAM J. Numer. Anal., 2014

Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics.
Entropy, 2014

2012
Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods.
Multiscale Model. Simul., 2012

Optimized local basis set for Kohn-Sham density functional theory.
J. Comput. Phys., 2012

Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation.
J. Comput. Phys., 2012

The Landscape of Complex Networks
CoRR, 2012

2011
SelInv - An Algorithm for Selected Inversion of a Sparse Symmetric Matrix.
ACM Trans. Math. Softw., 2011

A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations.
SIAM J. Sci. Comput., 2011

Multiscale modeling.
Scholarpedia, 2011

Fast construction of hierarchical matrix representation from matrix-vector multiplication.
J. Comput. Phys., 2011


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