Jianfeng Lu
Orcid: 0000-0001-6255-5165Affiliations:
- Duke University, Durham, NC, USA
- New York University, Department of Mathematics, NY, USA (former)
According to our database1,
Jianfeng Lu
authored at least 133 papers
between 2011 and 2024.
Collaborative distances:
Collaborative distances:
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Online presence:
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on zbmath.org
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on scopus.com
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on orcid.org
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on id.loc.gov
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on d-nb.info
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Bibliography
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
CoRR, 2024
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
Convergence of flow-based generative models via proximal gradient descent in Wasserstein space.
CoRR, 2023
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
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023
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
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
Math. Comput., November, 2022
Multiscale Model. Simul., September, 2022
Stat. Comput., 2022
Numerische Mathematik, 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
Comput. Phys. Commun., 2022
A deep learning framework for geodesics under spherical Wasserstein-Fisher-Rao metric and its application for weighted sample generation.
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
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
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
Found. Comput. Math., 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
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
Proceedings of the Conference on Learning Theory, 2021
Proceedings of the Algorithmic Learning Theory, 2021
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
SIAM J. Sci. Comput., 2020
Tensor Ring Decomposition: Optimization Landscape and One-loop Convergence of Alternating Least Squares.
SIAM J. Matrix Anal. Appl., 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
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
Comput. Phys. Commun., 2020
CoRR, 2020
A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions.
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
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
SIAM J. Sci. Comput., 2019
SIAM J. Math. Anal., 2019
A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer.
J. Comput. Phys., 2019
A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient.
CoRR, 2019
CoRR, 2019
2018
SIAM J. Sci. Comput., 2018
SIAM J. Sci. Comput., 2018
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
Multiscale Model. Simul., 2018
A Diabatic Surface Hopping Algorithm Based on Time Dependent Perturbation Theory and Semiclassical Analysis.
Multiscale Model. Simul., 2018
J. Sci. Comput., 2018
Comput. Phys. Commun., 2018
CoRR, 2018
Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks.
CoRR, 2018
CoRR, 2018
Asymptot. Anal., 2018
2017
IEEE Trans. Image Process., 2017
Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime.
SIAM J. Math. Anal., 2017
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
J. Comput. Phys., 2017
2016
Gauge-Invariant Frozen Gaussian Approximation Method for the Schrödinger Equation with Periodic Potentials.
SIAM J. Sci. Comput., 2016
Math. Comput., 2016
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
SIAM J. Sci. Comput., 2015
Multiscale Model. Simul., 2015
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
Proceedings of the 2015 IEEE International Conference on Acoustics, 2015
2014
SIAM J. Numer. Anal., 2014
2012
Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods.
Multiscale Model. Simul., 2012
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
2011
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
Fast construction of hierarchical matrix representation from matrix-vector multiplication.
J. Comput. Phys., 2011