Jianfeng Lu 鲁剑锋
Jianfeng Lu 鲁剑锋
Department of Mathematics, Department of Chemistry and Department of Physics, Duke University
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Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool
I Daubechies, J Lu, HT Wu
Applied and Computational Harmonic Analysis 30 (2), 243-261, 2011
Solving parametric PDE problems with artificial neural networks
Y Khoo, J Lu, L Ying
European Journal of Applied Mathematics 32 (3), 421-435, 2021
Markov state models based on milestoning
C Schütte, F Noé, J Lu, M Sarich, E Vanden-Eijnden
J. Chem. Phys. 134 (20), 204105, 2011
Deep network approximation for smooth functions
J Lu, Z Shen, H Yang, S Zhang
SIAM Journal on Mathematical Analysis 53 (5), 5465-5506, 2021
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions
Y Lu, J Lu
Advances in Neural Information Processing Systems 33, 2020
Solving for high-dimensional committor functions using artificial neural networks
Y Khoo, J Lu, L Ying
Research in the Mathematical Sciences 6, 1-13, 2019
Fast construction of hierarchical matrix representation from matrix–vector multiplication
L Lin, J Lu, L Ying
Journal of Computational Physics 230 (10), 4071-4087, 2011
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems
L Lin, J Lu, L Ying, R Car, W E
Communications in Mathematical Sciences 7 (3), 755-777, 2009
Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
L Lin, J Lu, L Ying, W E
Journal of Computational Physics 231 (4), 2140–2154, 2012
SelInv -- An Algorithm for Selected Inversion of a Sparse Symmetric Matrix
L Lin, C Yang, JC Meza, J Lu, L Ying, W E
ACM Transactions on Mathematical Software (TOMS) 37 (4), 40, 2011
ELSI: A unified software interface for Kohn–Sham electronic structure solvers
VW Yu, F Corsetti, A García, WP Huhn, M Jacquelin, W Jia, B Lange, L Lin, ...
Computer Physics Communications 222, 267-285, 2018
Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions
H Chen, H Lee, J Lu
International Conference on Machine Learning, 4735-4763, 2023
Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model
J Lu, F Otto
Comm. Pure Appl. Math 67 (10), 1605-1617, 2014
A priori generalization analysis of the deep Ritz method for solving high dimensional elliptic partial differential equations
Y Lu, J Lu, M Wang
Conference on learning theory, 3196-3241, 2021
Convergence for score-based generative modeling with polynomial complexity
H Lee, J Lu, Y Tan
Advances in Neural Information Processing Systems 35, 22870-22882, 2022
Convergence of score-based generative modeling for general data distributions
H Lee, J Lu, Y Tan
International Conference on Algorithmic Learning Theory, 946-985, 2023
Neural collapse under cross-entropy loss
J Lu, S Steinerberger
Applied and Computational Harmonic Analysis 59, 224-241, 2022
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
J Lu, L Ying
Journal of Computational Physics 302, 329-335, 2015
Discontinuous Hamiltonian Monte Carlo for models with discrete parameters and discontinuous likelihoods
A Nishimura, D Dunson, J Lu
arXiv preprint arXiv:1705.08510, 2017
Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime
J Lu, Y Lu, J Nolen
SIAM Journal on Mathematical Analysis 51 (2), 648-671, 2019
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