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Jianfeng Lu 鲁剑锋
Jianfeng Lu 鲁剑锋
Department of Mathematics, Department of Chemistry and Department of Physics, Duke University
Verified email at math.duke.edu - Homepage
Title
Cited by
Cited by
Year
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
21422011
Solving parametric PDE problems with artificial neural networks
Y Khoo, J Lu, L Ying
European Journal of Applied Mathematics 32 (3), 421-435, 2021
3402021
Markov state models based on milestoning
C Schütte, F Noé, J Lu, M Sarich, E Vanden-Eijnden
J. Chem. Phys. 134 (20), 204105, 2011
2662011
Deep network approximation for smooth functions
J Lu, Z Shen, H Yang, S Zhang
SIAM Journal on Mathematical Analysis 53 (5), 5465-5506, 2021
1872021
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
1322019
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions
Y Lu, J Lu
Advances in Neural Information Processing Systems 33, 2020
1312020
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
1302011
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
1262012
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
1232011
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
1232009
Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model
J Lu, F Otto
Comm. Pure Appl. Math 67 (10), 1605-1617, 2014
962014
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
932018
Discontinuous Hamiltonian Monte Carlo for models with discrete parameters and discontinuous likelihoods
A Nishimura, D Dunson, J Lu
arXiv preprint arXiv:1705.08510, 2017
85*2017
A variational perspective on cloaking by anomalous localized resonance
RV Kohn, J Lu, B Schweizer, MI Weinstein
Communications in Mathematical Physics 328 (1), 1-27, 2014
852014
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
80*2019
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
78*2021
A Mean Field Analysis Of Deep ResNet And Beyond: Towards Provably Optimization Via Overparameterization From Depth
Y Lu, C Ma, Y Lu, J Lu, L Ying
International Conference on Machine Learning, 6426-6436, 2020
782020
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
752015
Neural collapse under cross-entropy loss
J Lu, S Steinerberger
Applied and Computational Harmonic Analysis 59, 224-241, 2022
74*2022
Pole-Based approximation of the Fermi-Dirac function
L Lin, J Lu, L Ying, W E
Chinese Annals of Mathematics-Series B 30 (6), 729-742, 2009
722009
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Articles 1–20