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D-Index & Metrics

Mathematics

D-Index
39
Citations
8444
World Ranking
2151
National Ranking
911

Overview

Jianfeng Lu is affiliated with Duke University in the United States and has made contributions across multiple scientific disciplines, including computer science, physics and astronomy, and engineering. Their research output spans a total of more than 400 publications, with significant focus placed on specialized subfields.

The scientist's primary subfields include artificial intelligence, atomic and molecular physics and optics, statistical and nonlinear physics, computational mechanics, and computer vision and pattern recognition. Their main topics of work involve model reduction and neural networks, Markov chains and Monte Carlo methods, advanced numerical methods in computational mathematics, neural networks and applications, quantum many-body systems, quantum computing algorithms and architecture, as well as topological materials and phenomena.

Frequent collaboration partners include the following researchers:

  • Yingzhou Li
  • Ziang Chen
  • Yulong Lu
  • Jing Ding
  • Qin Li

Jianfeng Lu has published extensively in several academic venues, particularly in:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Solar Energy Materials and Solar Cells
  • Journal of Chemical Theory and Computation
  • Multiscale Modeling and Simulation

Notable recent papers authored or co-authored by Jianfeng Lu include:

  • Printing strategies for scaling-up perovskite solar cells, 2021, National Science Review
  • A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions, 2020, arXiv (Cornell University)
  • Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach, 2020, Journal of Computational Physics
  • Ab-initio molecular dynamics study on thermal property of NaCl-CaCl2 molten salt for high-temperature heat transfer and storage, 2020, Renewable Energy
  • Deep Network Approximation for Smooth Functions, 2021, SIAM Journal on Mathematical Analysis

Best Publications

  • Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool

    Ingrid Daubechies;Jianfeng Lu;Hau Tieng Wu

  • Solving parametric PDE problems with artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Markov State Models Based on Milestoning

    Christof Schütte;Frank Noé;Jianfeng Lu;Marco Sarich

  • Deep Network Approximation for Smooth Functions

    Jianfeng Lu;Zuowei Shen;Haizhao Yang;Shijun Zhang

  • Solving for high-dimensional committor functions using artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation

    Lin Lin;Jianfeng Lu;Lexing Ying;Weinan E

  • Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

    Lin Lin;Jianfeng Lu;Lexing Ying;Roberto Car

  • SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix

    Lin Lin;Chao Yang;Juan C. Meza;Jianfeng Lu

  • ELSI: A Unified Software Interface for Kohn-Sham Electronic Structure Solvers

    Victor Wen-zhe Yu;Fabiano Corsetti;Alberto García;William P. Huhn

  • Fast construction of hierarchical matrix representation from matrix-vector multiplication

    Lin Lin;Jianfeng Lu;Lexing Ying

  • A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions

    Yulong Lu;Jianfeng Lu

  • Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost

    Jianfeng Lu;Lexing Ying

  • Nonexistence of a Minimizer for Thomas–Fermi–Dirac–von Weizsäcker Model

    Jianfeng Lu;Felix Otto

  • A Variational Perspective on Cloaking by Anomalous Localized Resonance

    Robert V. Kohn;Jianfeng Lu;Ben Schweizer;Michael I. Weinstein

  • Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach

    Jiequn Han;Jianfeng Lu;Mo Zhou

  • Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods

    Akihiko Nishimura;David B Dunson;Jianfeng Lu

  • Pole-Based approximation of the Fermi-Dirac function

    Lin Lin;Jianfeng Lu;Lexing Ying;E. Weinan

  • Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime

    Jianfeng Lu;Yulong Lu;James Nolen

  • Frozen Gaussian approximation for high frequency wave propagation

    Jianfeng Lu;Xu Yang

  • A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations

    Lin Lin;Chao Yang;Jianfeng Lu;Lexing Ying

  • A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth

    Yiping Lu;Chao Ma;Yulong Lu;Jianfeng Lu

Frequent Co-Authors

Lin Lin
Lin Lin University of California, Berkeley
Lexing Ying
Lexing Ying Stanford University
Weinan E
Weinan E Princeton University
Jian-Guo Liu
Jian-Guo Liu Duke University
Eric Vanden-Eijnden
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences
Stephen J. Wright
Stephen J. Wright University of Wisconsin–Madison
Ingrid Daubechies
Ingrid Daubechies Duke University
Michael I. Weinstein
Michael I. Weinstein Columbia University
David B. Dunson
David B. Dunson Duke University
Weitao Yang
Weitao Yang Duke University

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