Publications of Jianfeng Lu

Papers Published

  1. Li, X; Pura, J; Allen, A; Owzar, K; Lu, J; Harms, M; Xie, J, DYNATE: Localizing rare-variant association regions via multiple testing embedded in an aggregation tree., Genet Epidemiol, vol. 48 no. 1 (February, 2024), pp. 42-55
  2. Jing, Y; Chen, J; Li, L; Lu, J, A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation, Journal of Scientific Computing, vol. 98 no. 1 (January, 2024)
  3. Wang, Z; Zhang, Z; Lu, J; Li, Y, Coordinate Descent Full Configuration Interaction for Excited States., Journal of chemical theory and computation, vol. 19 no. 21 (November, 2023), pp. 7731-7739
  4. Cao, Y; Lu, J; Wang, L, On Explicit L2 -Convergence Rate Estimate for Underdamped Langevin Dynamics, Archive for Rational Mechanics and Analysis, vol. 247 no. 5 (October, 2023)
  5. Lu, J; Wu, Y; Xiang, Y, Score-based Transport Modeling for Mean-Field Fokker-Planck Equations, vol. 503 (April, 2023)
  6. Wang, M; Lu, J, Neural Network-Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions, Communications in Mathematics and Statistics, vol. 11 no. 1 (March, 2023), pp. 21-57
  7. Bierman, J; Li, Y; Lu, J, Improving the Accuracy of Variational Quantum Eigensolvers with Fewer Qubits Using Orbital Optimization., Journal of chemical theory and computation, vol. 19 no. 3 (February, 2023), pp. 790-798
  8. Cai, Z; Lu, J; Yang, S, NUMERICAL ANALYSIS FOR INCHWORM MONTE CARLO METHOD: SIGN PROBLEM AND ERROR GROWTH, Mathematics of Computation, vol. 92 no. 341 (January, 2023), pp. 1141-1209, American Mathematical Society (AMS)
  9. Chen, Z; Lu, J; Lu, Y; Zhou, S, A REGULARITY THEORY FOR STATIC SCHRÖDINGER EQUATIONS ON R d IN SPECTRAL BARRON SPACES, SIAM Journal on Mathematical Analysis, vol. 55 no. 1 (January, 2023), pp. 557-570
  10. Chen, Z; Lu, J; Qian, H; Wang, X; Yin, W, HeteRSGD: Tackling Heterogeneous Sampling Costs via Optimal Reweighted Stochastic Gradient Descent, Proceedings of Machine Learning Research, vol. 206 (January, 2023), pp. 10732-10781
  11. Lee, H; Lu, J; Tan, Y, Convergence of score-based generative modeling for general data distributions, Proceedings of Machine Learning Research, vol. 201 (January, 2023), pp. 946-985
  12. Chen, Z; Li, Y; Lu, J, ON THE GLOBAL CONVERGENCE OF RANDOMIZED COORDINATE GRADIENT DESCENT FOR NONCONVEX OPTIMIZATION*, SIAM Journal on Optimization, vol. 33 no. 2 (January, 2023), pp. 713-738
  13. Sachs, M; Sen, D; Lu, J; Dunson, D, Posterior Computation with the Gibbs Zig-Zag Sampler, Bayesian Analysis, vol. 18 no. 3 (January, 2023), pp. 909-927
  14. Huang, H; Landsberg, JM; Lu, J, GEOMETRY OF BACKFLOW TRANSFORMATION ANSATZE FOR QUANTUM MANY-BODY FERMIONIC WAVEFUNCTIONS, Communications in Mathematical Sciences, vol. 21 no. 5 (January, 2023), pp. 1447-1453
  15. Bal, G; Becker, S; Drouot, A; Kammerer, CF; Lu, J; Watson, AB, EDGE STATE DYNAMICS ALONG CURVED INTERFACES, SIAM Journal on Mathematical Analysis, vol. 55 no. 5 (January, 2023), pp. 4219-4254
  16. Zhang, S; Lu, J; Zhao, H, On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network, Proceedings of Machine Learning Research, vol. 202 (January, 2023), pp. 41452-41487
  17. Chen, H; Lee, H; Lu, J, Improved Analysis of Score-based Generative Modeling: User-Friendly Bounds under Minimal Smoothness Assumptions, Proceedings of Machine Learning Research, vol. 202 (January, 2023), pp. 5367-5382
  18. Agazzi, A; Lu, J; Mukherjee, S, Global optimality of Elman-type RNNs in the mean-field regime, Proceedings of Machine Learning Research, vol. 202 (January, 2023), pp. 196-227
  19. Marwah, T; Lipton, ZC; Lu, J; Risteski, A, Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective, Proceedings of Machine Learning Research, vol. 202 (January, 2023), pp. 24139-24172
  20. Holst, M; Hu, H; Lu, J; Marzuola, JL; Song, D; Weare, J, Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule, Journal of Nonlinear Science, vol. 32 no. 6 (December, 2022)
  21. Craig, K; Liu, JG; Lu, J; Marzuola, JL; Wang, L, A proximal-gradient algorithm for crystal surface evolution, Numerische Mathematik, vol. 152 no. 3 (November, 2022), pp. 631-662
  22. Cai, Z; Lu, J; Yang, S, Fast algorithms of bath calculations in simulations of quantum system-bath dynamics, Computer Physics Communications, vol. 278 (September, 2022)
  23. Barthel, T; Lu, J; Friesecke, G, On the closedness and geometry of tensor network state sets, Letters in Mathematical Physics, vol. 112 no. 4 (August, 2022)
  24. Bierman, J; Li, Y; Lu, J, Quantum Orbital Minimization Method for Excited States Calculation on a Quantum Computer., Journal of chemical theory and computation, vol. 18 no. 8 (August, 2022), pp. 4674-4689
  25. Lu, J; Steinerberger, S, Neural collapse under cross-entropy loss, Applied and Computational Harmonic Analysis, vol. 59 (July, 2022), pp. 224-241
  26. Lu, J; Wang, L, Complexity of zigzag sampling algorithm for strongly log-concave distributions, Statistics and Computing, vol. 32 no. 3 (June, 2022)
  27. Pescia, G; Han, J; Lovato, A; Lu, J; Carleo, G, Neural-network quantum states for periodic systems in continuous space, Physical Review Research, vol. 4 no. 2 (June, 2022)
  28. Chen, K; Chen, S; Li, Q; Lu, J; Wright, S, Low-Rank Approximation for Multiscale PDEs, Notices of the American Mathematical Society, vol. 69 no. 6 (June, 2022), pp. 901-913
  29. Lu, J; Wang, L, ON EXPLICIT L2-CONVERGENCE RATE ESTIMATE FOR PIECEWISE DETERMINISTIC MARKOV PROCESSES IN MCMC ALGORITHMS, Annals of Applied Probability, vol. 32 no. 2 (April, 2022), pp. 1333-1361
  30. Lu, J; Stubbs, KD; Watson, AB, Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher, Archive for Rational Mechanics and Analysis, vol. 243 no. 3 (March, 2022), pp. 1269-1323
  31. Lu, J; Murphey, C; Steinerberger, S, Fast Localization of Eigenfunctions via Smoothed Potentials, Journal of Scientific Computing, vol. 90 no. 1 (January, 2022)
  32. Lu, J; Marzuola, JL; Watson, AB, DEFECT RESONANCES OF TRUNCATED CRYSTAL STRUCTURES, SIAM Journal on Applied Mathematics, vol. 82 no. 1 (January, 2022), pp. 49-74, Society for Industrial & Applied Mathematics (SIAM)
  33. Lu, J; Zhang, Z; Zhou, Z, Bloch dynamics with second order Berry phase correction, Asymptotic Analysis, vol. 128 no. 1 (January, 2022), pp. 55-84
  34. Han, J; Li, Y; Lin, L; Lu, J; Zhang, J; Zhang, L, UNIVERSAL APPROXIMATION OF SYMMETRIC AND ANTI-SYMMETRIC FUNCTIONS, Communications in Mathematical Sciences, vol. 20 no. 5 (January, 2022), pp. 1397-1408
  35. Chen, S; Li, Q; Lu, J; Wright, SJ, MANIFOLD LEARNING AND NONLINEAR HOMOGENIZATION, Multiscale Modeling and Simulation, vol. 20 no. 3 (January, 2022), pp. 1093-1126
  36. Lu, Y; Chen, H; Lu, J; Ying, L; Blanchet, J, MACHINE LEARNING FOR ELLIPTIC PDES: FAST RATE GENERALIZATION BOUND, NEURAL SCALING LAW AND MINIMAX OPTIMALITY, ICLR 2022 - 10th International Conference on Learning Representations (January, 2022)
  37. Lee, H; Lu, J; Tan, Y, Convergence for score-based generative modeling with polynomial complexity, Advances in Neural Information Processing Systems, vol. 35 (January, 2022), ISBN 9781713871088
  38. Lu, J; Otto, F, Optimal Artificial Boundary Condition for Random Elliptic Media, Foundations of Computational Mathematics, vol. 21 no. 6 (December, 2021), pp. 1643-1702
  39. Chen, K; Chen, S; Li, Q; Lu, J; Wright, SJ, Low-rank approximation for multiscale PDEs (November, 2021)
  40. Huang, H; Landsberg, JM; Lu, J, Geometry of backflow transformation ansatz for quantum many-body fermionic wavefunctions (November, 2021)
  41. Cheng, C; Daubechies, I; Dym, N; Lu, J, Stable phase retrieval from locally stable and conditionally connected measurements, Applied and Computational Harmonic Analysis, vol. 55 (November, 2021), pp. 440-465
  42. Lu, J; Otto, F; Wang, L, Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media (September, 2021)
  43. Ding, Z; Li, Q; Lu, J, ENSEMBLE KALMAN INVERSION FOR NONLINEAR PROBLEMS: WEIGHTS, CONSISTENCY, AND VARIANCE BOUNDS, Foundations of Data Science, vol. 3 no. 3 (September, 2021), pp. 371-411
  44. Li, L; Goodrich, C; Yang, H; Phillips, KR; Jia, Z; Chen, H; Wang, L; Zhong, J; Liu, A; Lu, J; Shuai, J; Brenner, MP; Spaepen, F; Aizenberg, J, Microscopic origins of the crystallographically preferred growth in evaporation-induced colloidal crystals., Proceedings of the National Academy of Sciences of the United States of America, vol. 118 no. 32 (August, 2021), pp. e2107588118
  45. An, D; Cheng, SY; Head-Gordon, T; Lin, L; Lu, J, Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation, Journal of Computational Physics, vol. 438 (August, 2021)
  46. Lu, J; Stubbs, KD, Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators (July, 2021)
  47. Chen, Z; Lu, J; Lu, Y, On the Representation of Solutions to Elliptic PDEs in Barron Spaces (June, 2021)
  48. Khoo, Y; Lu, J; Ying, L, Solving parametric PDE problems with artificial neural networks, European Journal of Applied Mathematics, vol. 32 no. 3 (June, 2021), pp. 421-435
  49. Yang, S; Cai, Z; Lu, J, Inclusion-exclusion principle for open quantum systems with bosonic bath, New Journal of Physics, vol. 23 no. 6 (June, 2021)
  50. Bal, G; Becker, S; Drouot, A; Kammerer, CF; Lu, J; Watson, A, Edge state dynamics along curved interfaces (June, 2021)
  51. Lu, J; Lu, Y, A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems (May, 2021)
  52. Lu, J; Steinerberger, S, Optimal Trapping for Brownian Motion: a Nonlinear Analogue of the Torsion Function, Potential Analysis, vol. 54 no. 4 (April, 2021), pp. 687-698
  53. Coffman, AJ; Lu, J; Subotnik, JE, A grid-free approach for simulating sweep and cyclic voltammetry., The Journal of chemical physics, vol. 154 no. 16 (April, 2021), pp. 161101
  54. Thicke, K; Watson, AB; Lu, J, Computing edge states without hard truncation, SIAM Journal on Scientific Computing, vol. 43 no. 2 (March, 2021), pp. B323-B353
  55. Cao, Y; Lu, J, Structure-preserving numerical schemes for Lindblad equations (March, 2021)
  56. Stubbs, KD; Watson, AB; Lu, J, Iterated projected position algorithm for constructing exponentially localized generalized Wannier functions for periodic and nonperiodic insulators in two dimensions and higher, Physical Review B, vol. 103 no. 7 (February, 2021)
  57. Lu, J; Stubbs, KD, Algebraic localization implies exponential localization in non-periodic insulators (January, 2021)
  58. Lu, J; Lu, Y; Wang, M, A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations (January, 2021)
  59. Chen, Z; Li, Y; Lu, J, On the global convergence of randomized coordinate gradient descent for non-convex optimization (January, 2021)
  60. Li, L; Lu, J; Mattingly, JC; Wang, L, Numerical Methods For Stochastic Differential Equations Based On Gaussian Mixture, Communications in Mathematical Sciences, vol. 19 no. 6 (January, 2021), pp. 1549-1577, International Press of Boston
  61. Zhou, M; Han, J; Lu, J, ACTOR-CRITIC METHOD FOR HIGH DIMENSIONAL STATIC HAMILTON-JACOBI-BELLMAN PARTIAL DIFFERENTIAL EQUATIONS BASED ON NEURAL NETWORKS, SIAM Journal on Scientific Computing, vol. 43 no. 6 (January, 2021), pp. A4043-A4066, Society for Industrial & Applied Mathematics (SIAM)
  62. Lu, J; Shen, Z; Yang, H; Zhang, S, DEEP NETWORK APPROXIMATION FOR SMOOTH FUNCTIONS, SIAM Journal on Mathematical Analysis, vol. 53 no. 5 (January, 2021), pp. 5465-5506, Society for Industrial & Applied Mathematics (SIAM)
  63. Cao, Y; Lu, J; Wang, L, COMPLEXITY OF RANDOMIZED ALGORITHMS FOR UNDERDAMPED LANGEVIN DYNAMICS*, Communications in Mathematical Sciences, vol. 19 no. 7 (January, 2021), pp. 1827-1853, International Press of Boston
  64. Khoo, Y; Lu, J; Ying, L, Efficient construction of tensor ring representations from sampling, Multiscale Modeling and Simulation, vol. 19 no. 3 (January, 2021)
  65. Loring, TA; Lu, J; Watson, AB, Locality of the windowed local density of states, Discussion Contributions 10th Vienna Conference on Mathematical Modelling, volume 17. ARGESIM, 2022 (January, 2021)
  66. Chen, K; Li, Q; Lu, J; Wright, SJ, A low-rank schwarz method for radiative transfer equation with heterogeneous scattering coefficient, Multiscale Modeling and Simulation, vol. 19 no. 2 (January, 2021), pp. 775-801
  67. Chen, Z; Lu, J; Lu, Y, On the Representation of Solutions to Elliptic PDEs in Barron Spaces, Advances in Neural Information Processing Systems, vol. 8 (January, 2021), pp. 6454-6465, ISBN 9781713845393
  68. Ge, R; Lee, H; Lu, J; Risteski, A, Efficient sampling from the Bingham distribution, Proceedings of Machine Learning Research, vol. 132 (January, 2021), pp. 673-685
  69. Lu, J; Lu, Y; Wang, M, A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations, Proceedings of Machine Learning Research, vol. 134 (January, 2021), pp. 3196-3241
  70. Agazzi, A; Lu, J, Temporal-difference learning with nonlinear function approximation: lazy training and mean field regimes, Proceedings of Machine Learning Research, vol. 145 (January, 2021), pp. 37-74
  71. Gao, Y; Katsevich, AE; Liu, JG; Lu, J; Marzuola, JL, ANALYSIS OF A FOURTH-ORDER EXPONENTIAL PDE ARISING FROM A CRYSTAL SURFACE JUMP PROCESS WITH METROPOLIS-TYPE TRANSITION RATES, Pure and Applied Analysis, vol. 3 no. 4 (January, 2021), pp. 595-612
  72. Ding, Z; Li, Q; Lu, J; Wright, SJ, Random Coordinate Underdamped Langevin Monte Carlo, Proceedings of Machine Learning Research, vol. 130 (January, 2021), pp. 2701-2709
  73. Ding, Z; Li, Q; Lu, J; Wright, SJ, Random Coordinate Underdamped Langevin Monte Carlo, 24TH INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS (AISTATS), vol. 130 (2021), pp. 2701-2709
  74. Li, L; Goodrich, C; Yang, H; Phillips, KR; Jia, Z; Chen, H; Wang, L; Zhong, J; Liu, A; Lu, J; Shuai, J; Brenner, MP; Spaepen, F; Aizenberg, J, Microscopic origins of the crystallographically preferred growth in evaporation-induced colloidal crystals, PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 118 no. 32 (2021)
  75. Lu, J; Wang, L, Complexity of zigzag sampling algorithm for strongly log-concave distributions, Stat Comput, vol. 32 (December, 2020), pp. 48
  76. Han, J; Lu, J; Zhou, M, Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach, Journal of Computational Physics, vol. 423 (December, 2020)
  77. Lu, J; Lu, Y; Zhou, Z, Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics, Journal of Computational Physics, vol. 423 (December, 2020)
  78. Lu, J; Steinerberger, S, Neural Collapse with Cross-Entropy Loss (December, 2020)
  79. Sen, D; Sachs, M; Lu, J; Dunson, DB, Efficient posterior sampling for high-dimensional imbalanced logistic regression., Biometrika, vol. 107 no. 4 (December, 2020), pp. 1005-1012, Oxford University Press (OUP)
  80. Cai, Z; Lu, J; Yang, S, Inchworm Monte Carlo Method for Open Quantum Systems, Communications on Pure and Applied Mathematics, vol. 73 no. 11 (November, 2020), pp. 2430-2472
  81. Yu, VWZ; Campos, C; Dawson, W; García, A; Havu, V; Hourahine, B; Huhn, WP; Jacquelin, M; Jia, W; Keçeli, M; Laasner, R; Li, Y; Lin, L; Lu, J; Moussa, J; Roman, JE; Vázquez-Mayagoitia, Á; Yang, C; Blum, V, ELSI — An open infrastructure for electronic structure solvers, Computer Physics Communications, vol. 256 (November, 2020), pp. 107459-107459, Elsevier BV
  82. Lu, J; Steinerberger, S, Synchronization of Kuramoto oscillators in dense networks, Nonlinearity, vol. 33 no. 11 (November, 2020), pp. 5905-5918
  83. Li, Y; Cheng, X; Lu, J, Butterfly-net: Optimal function representation based on convolutional neural networks, Communications in Computational Physics, vol. 28 no. 5 (November, 2020), pp. 1838-1885, Global Science Press
  84. Chen, S; Li, Q; Lu, J; Wright, SJ, Manifold Learning and Nonlinear Homogenization (November, 2020)
  85. Agazzi, A; Lu, J, Global optimality of softmax policy gradient with single hidden layer neural networks in the mean-field regime, vol. abs/2010.11858 (October, 2020), OpenReview.net
  86. Ding, Z; Li, Q; Lu, J; Wright, SJ, Random Coordinate Langevin Monte Carlo (October, 2020)
  87. Li, Y; Lu, J, Optimal Orbital Selection for Full Configuration Interaction (OptOrbFCI): Pursuing the Basis Set Limit under a Budget., Journal of chemical theory and computation, vol. 16 no. 10 (October, 2020), pp. 6207-6221
  88. Ge, R; Lee, H; Lu, J; Risteski, A, Efficient sampling from the Bingham distribution, Algorithmic Learning Theory. PMLR, 2021 (September, 2020)
  89. Li, W; Lu, J; Wang, L, Fisher information regularization schemes for Wasserstein gradient flows, Journal of Computational Physics, vol. 416 (September, 2020)
  90. Gao, Y; Liu, JG; Lu, J; Marzuola, JL, Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects, Nonlinearity, vol. 33 no. 8 (August, 2020), pp. 3816-3845
  91. Lu, J; Wang, L, On explicit $L^2$-convergence rate estimate for piecewise deterministic Markov processes in MCMC algorithms, Ann. Appl. Probab. 32(2): 1333-1361 (April 2022) (July, 2020)
  92. Craig, K; Liu, J-G; Lu, J; Marzuola, JL; Wang, L, A Proximal-Gradient Algorithm for Crystal Surface Evolution (June, 2020)
  93. Lu, J; Marzuola, JL; Watson, AB, Defect resonances of truncated crystal structures, SIAM J. Appl. Math 82, vol. 1 (June, 2020), pp. 49-74
  94. Cai, Z; Lu, J; Yang, S, Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth (June, 2020)
  95. Ge, R; Lee, H; Lu, J, Estimating normalizing constants for log-concave distributions: Algorithms and lower bounds, Proceedings of the Annual ACM Symposium on Theory of Computing (June, 2020), pp. 579-586
  96. Nishimura, A; Dunson, DB; Lu, J, Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods, Biometrika, vol. 107 no. 2 (June, 2020), pp. 365-380
  97. Li, Y; Lu, J; Mao, A, Variational training of neural network approximations of solution maps for physical models, Journal of Computational Physics, vol. 409 (May, 2020), pp. 109338-109338, Elsevier BV
  98. Sachs, M; Sen, D; Lu, J; Dunson, D, Posterior computation with the Gibbs zig-zag sampler (April, 2020)
  99. Gao, Y; Katsevich, AE; Liu, J-G; Lu, J; Marzuola, JL, Analysis of a fourth order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates, Pure Appl. Analysis, vol. 3 (March, 2020), pp. 595-612
  100. Lu, J; Stubbs, KD; Watson, AB, Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher, Arch. Rational Mech. Anal. 243, vol. 3 (March, 2020), pp. 1269-1323
  101. Ding, Z; Li, Q; Lu, J, Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds (March, 2020)
  102. Lu, J; Sachs, M; Steinerberger, S, Quadrature Points via Heat Kernel Repulsion, Constructive Approximation, vol. 51 no. 1 (February, 2020), pp. 27-48
  103. Kovalsky, SZ; Aigerman, N; Daubechies, I; Kazhdan, M; Lu, J; Steinerberger, S, Non-Convex Planar Harmonic Maps (January, 2020)
  104. Lu, J; Steinerberger, S, A dimension-free hermite-hadamard inequality via gradient estimates for the torsion function, Proceedings of the American Mathematical Society, vol. 148 no. 2 (January, 2020), pp. 673-679
  105. Chen, K; Li, Q; Lu, J; Wright, SJ, Randomized sampling for basis function construction in generalized finite element methods, Multiscale Modeling and Simulation, vol. 18 no. 2 (January, 2020), pp. 1153-1177, Society for Industrial & Applied Mathematics (SIAM)
  106. Lu, J; Wang, Z, The full configuration interaction quantum monte carlo method through the lens of inexact power iteration, SIAM Journal on Scientific Computing, vol. 42 no. 1 (January, 2020), pp. B1-B29
  107. Li, L; Li, Y; Liu, JG; Liu, Z; Lu, J, A stochastic version of stein variational gradient descent for efficient sampling, Communications in Applied Mathematics and Computational Science, vol. 15 no. 1 (January, 2020), pp. 37-63, Mathematical Sciences Publishers
  108. Lu, J; Watson, AB; Weinstein, MI, Dirac operators and domain walls, SIAM Journal on Mathematical Analysis, vol. 52 no. 2 (January, 2020), pp. 1115-1145
  109. CHEN, Z; LI, Y; LU, J, Tensor ring decomposition: Optimization landscape and one-loop convergence of alternating least squares, SIAM Journal on Matrix Analysis and Applications, vol. 41 no. 3 (January, 2020), pp. 1416-1442, Society for Industrial & Applied Mathematics (SIAM)
  110. Chen, K; Li, Q; Lu, J; Wright, SJ, Random sampling and efficient algorithms for multiscale pdes, SIAM Journal on Scientific Computing, vol. 42 no. 5 (January, 2020), pp. A2974-A3005
  111. An, J; Lu, J; Ying, L, Stochastic modified equations for the asynchronous stochastic gradient descent, Information and Inference, vol. 9 no. 4 (January, 2020), pp. 851-873
  112. Lu, Y; Ma, C; Lu, J; Ying, L, A mean-field analysis of deep resnet and beyond: Towards provable optimization via overparameterization from depth, 37th International Conference on Machine Learning, ICML 2020, vol. PartF168147-9 (January, 2020), pp. 6382-6392
  113. Lu, Y; Lu, J, A universal approximation theorem of deep neural networks for expressing probability distributions, Advances in Neural Information Processing Systems, vol. 2020-December (January, 2020)
  114. Han, J; Li, Y; Lin, L; Lu, J; Zhang, J; Zhang, L, Universal approximation of symmetric and anti-symmetric functions (December, 2019)
  115. Chen, H; Li, Q; Lu, J, A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer, Journal of Computational Physics, vol. 398 (December, 2019)
  116. Lu, J; Sogge, CD; Steinerberger, S, Approximating pointwise products of Laplacian eigenfunctions, Journal of Functional Analysis, vol. 277 no. 9 (November, 2019), pp. 3271-3282
  117. Cao, Y; Lu, J; Lu, Y, Exponential Decay of Rényi Divergence Under Fokker–Planck Equations, Journal of Statistical Physics, vol. 176 no. 5 (September, 2019), pp. 1172-1184
  118. Cao, Y; Lu, J; Wang, L, On explicit $L^2$-convergence rate estimate for underdamped Langevin dynamics, Arch Rational Mech Anal, vol. 247 (August, 2019), pp. 90
  119. Wang, Z; Li, Y; Lu, J, Coordinate Descent Full Configuration Interaction., Journal of chemical theory and computation, vol. 15 no. 6 (June, 2019), pp. 3558-3569
  120. Liu, JG; Lu, J; Margetis, D; Marzuola, JL, Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model, Physica D: Nonlinear Phenomena, vol. 393 (June, 2019), pp. 54-67
  121. Agazzi, A; Lu, J, Temporal-difference learning with nonlinear function approximation: lazy training and mean field regimes, PMLR, vol. 145 (May, 2019), pp. 37-74
  122. Lu, Y; Lu, J; Nolen, J, Accelerating Langevin Sampling with Birth-death (May, 2019)
  123. Cao, Y; Lu, J; Lu, Y, Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance, Journal of Mathematical Physics, vol. 60 no. 5 (May, 2019), pp. 052202-052202, AIP Publishing
  124. Lin, L; Lu, J; Ying, L, Numerical methods for Kohn-Sham density functional theory, Acta Numerica, vol. 28 (May, 2019), pp. 405-539
  125. Yu, V; Dawson, W; Garcia, A; Havu, V; Hourahine, B; Huhn, W; Jacquelin, M; Jia, W; Keceli, M; Laasner, R; Li, Y; Lin, L; Lu, J; Roman, J; Vazquez-Mayagoitia, A; Yang, C; Blum, V, Large-scale benchmark of electronic structure solvers with the ELSI infrastructure, ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, vol. 257 (March, 2019), pp. 1 pages, AMER CHEMICAL SOC
  126. Lu, J; Vanden-Eijnden, E, Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit, Journal of Statistical Physics, vol. 174 no. 3 (February, 2019), pp. 715-733
  127. Holst, M; Hu, H; Lu, J; Marzuola, JL; Song, D; Weare, J, Symmetry Breaking in Density Functional Theory due to Dirac Exchange for a Hydrogen Molecule (February, 2019)
  128. Li, Y; Lu, J, Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods, Transactions of Mathematics and Its Applications, vol. 3 no. 1 (February, 2019), pp. 1-17, Oxford University Press (OUP)
  129. Martinsson, A; Lu, J; Leimkuhler, B; Vanden-Eijnden, E, The simulated tempering method in the infinite switch limit with adaptive weight learning, Journal of Statistical Mechanics: Theory and Experiment, vol. 2019 no. 1 (January, 2019), pp. 013207-013207, IOP Publishing
  130. Huang, H; Liu, JG; Lu, J, Learning interacting particle systems: Diffusion parameter estimation for aggregation equations, Mathematical Models and Methods in Applied Sciences, vol. 29 no. 1 (January, 2019), pp. 1-29
  131. Gauckler, L; Lu, J; Marzuola, JL; Rousset, F; Schratz, K, Trigonometric integrators for quasilinear wave equations, Mathematics of Computation, vol. 88 no. 316 (January, 2019), pp. 717-749, American Mathematical Society (AMS)
  132. Khoo, Y; Lu, J; Ying, L, Solving for high-dimensional committor functions using artificial neural networks, Research in Mathematical Sciences, vol. 6 no. 1 (January, 2019), Springer Science and Business Media LLC
  133. Yingzhou, LI; Jianfeng, LU; Wang, AZHE, Coordinatewise descent methods for leading eigenvalue problem, SIAM Journal on Scientific Computing, vol. 41 no. 4 (January, 2019), pp. A2681-A2716, Society for Industrial & Applied Mathematics (SIAM)
  134. Cao, Y; Lu, J, Tensorization of the strong data processing inequality for quantum chi-square divergences, Quantum, vol. 3 (January, 2019)
  135. Zhu, W; Qiu, Q; Wang, B; Lu, J; Sapiro, G; Daubechies, I, Stop Memorizing: A Data-Dependent Regularization Framework for Intrinsic Pattern Learning, SIAM Journal on Mathematics of Data Science, vol. 1 no. 3 (January, 2019), pp. 476-496, Society for Industrial & Applied Mathematics (SIAM)
  136. Nolen, JH; Lu, J; Lu, Y, Scaling limit of the Stein variational gradient descent: the mean field regime, SIAM Journal on Mathematical Analysis, vol. 51 no. 2 (2019), pp. 648-671, Society for Industrial and Applied Mathematics
  137. Lu, Y; Lu, J; Nolen, J, Accelerating Langevin Sampling with Birth-death (2019)
  138. Chen, H; Lu, J; Ortner, C, Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding, Archive for Rational Mechanics and Analysis, vol. 230 no. 2 (November, 2018), pp. 701-733, Springer Nature America, Inc
  139. Li, X; Liu, J; Lu, J; Zhou, X, Moderate deviation for random elliptic PDE with small noise, Annals of Applied Probability, vol. 28 no. 5 (October, 2018), pp. 2781-2813, Institute of Mathematical Statistics
  140. Lu, J; Steinerberger, S, On Pointwise Products of Elliptic Eigenfunctions (October, 2018)
  141. Lu, J; Steinerberger, S, Detecting localized eigenstates of linear operators, Research in Mathematical Sciences, vol. 5 no. 3 (September, 2018), Springer Science and Business Media LLC
  142. Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum Many-Body Systems, Physical Review Letters, vol. 121 no. 8 (August, 2018), pp. 080406
  143. Huang, Y; Lu, J; Ming, P, A Concurrent Global–Local Numerical Method for Multiscale PDEs, Journal of Scientific Computing, vol. 76 no. 2 (August, 2018), pp. 1188-1215, Springer Nature
  144. You, Z; Li, L; Lu, J; Ge, H, Integrated tempering enhanced sampling method as the infinite switching limit of simulated tempering., The Journal of chemical physics, vol. 149 no. 8 (August, 2018), pp. 084114
  145. Lin, L; Lu, J; Vanden-Eijnden, E, A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning), Communications on Pure and Applied Mathematics, vol. 71 no. 6 (June, 2018), pp. 1149-1177, WILEY
  146. Zhu, W; Qiu, Q; Wang, B; Lu, J; Sapiro, G; Daubechies, I, Stop memorizing: A data-dependent regularization framework for intrinsic pattern learning, vol. 1 no. 3 (May, 2018), pp. 476-496, Society for Industrial & Applied Mathematics (SIAM)
  147. Yu, V; Huhn, W; Lin, L; Lu, J; Vazquez-Mayagoitia, A; Yang, C; Blum, V, ELSI: A unified software interface for Kohn-Sham electronic structure solvers, ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, vol. 255 (March, 2018), pp. 1 pages, AMER CHEMICAL SOC
  148. Cai, Z; Lu, J; Stubbs, K, On discrete Wigner transforms (February, 2018)
  149. Lu, J; Zhou, Z, Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping., The Journal of chemical physics, vol. 148 no. 6 (February, 2018), pp. 064110
  150. Cai, Z; Lu, J, A quantum kinetic monte carlo method for quantum many-body spin dynamics, SIAM Journal on Scientific Computing, vol. 40 no. 3 (January, 2018), pp. B706-B722, Society for Industrial & Applied Mathematics (SIAM)
  151. Yang, H; lu, J, Phase Space Sketching for Crystal Image Analysis based on Synchrosqueezed Transforms, vol. 11 no. 3 (January, 2018), pp. 1954-1978, Society for Industrial & Applied Mathematics (SIAM)
  152. Delgadillo, R; Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation in periodic media, Asymptotic Analysis, vol. 110 no. 3-4 (January, 2018), pp. 113-135, IOS Press
  153. Yu, VWZ; Corsetti, F; García, A; Huhn, WP; Jacquelin, M; Jia, W; Lange, B; Lin, L; Lu, J; Mi, W; Seifitokaldani, A; Vázquez-Mayagoitia, Á; Yang, C; Yang, H; Blum, V, ELSI: A unified software interface for Kohn–Sham electronic structure solvers, Computer Physics Communications, vol. 222 (January, 2018), pp. 267-285, Elsevier BV
  154. Lu, J; Zhou, Z, Frozen gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms, Mathematics of Computation, vol. 87 no. 313 (January, 2018), pp. 2189-2232, American Mathematical Society (AMS)
  155. Du, Q; Li, XH; Lu, J; Tian, X, A quasi-nonlocal coupling method for nonlocal and local diffusion models, SIAM Journal on Numerical Analysis, vol. 56 no. 3 (January, 2018), pp. 1386-1404, Society for Industrial & Applied Mathematics (SIAM)
  156. Dai, S; Li, B; Lu, J, Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation, Archive for Rational Mechanics and Analysis, vol. 227 no. 1 (January, 2018), pp. 105-147, Springer Nature
  157. Cai, Z; Lu, J, A surface hopping Gaussian beam method for high-dimensional transport systems, SIAM Journal on Scientific Computing, vol. 40 no. 5 (January, 2018), pp. B1277-B1301, Society for Industrial & Applied Mathematics (SIAM)
  158. Lai, R; Lu, J, Point cloud discretization of Fokker-planck operators for committor functions, Multiscale Modeling and Simulation, vol. 16 no. 2 (January, 2018), pp. 710-726, Society for Industrial & Applied Mathematics (SIAM)
  159. Lu, J; Spiliopoulos, K, Analysis of multiscale integrators for multiple attractors and irreversible langevin samplers, Multiscale Modeling and Simulation, vol. 16 no. 4 (January, 2018), pp. 1859-1883, Society for Industrial & Applied Mathematics (SIAM)
  160. Fang, D; Lu, J, A diabatic surface hopping algorithm based on time dependent perturbation theory and semiclassical analysis, Multiscale Modeling and Simulation, vol. 16 no. 4 (January, 2018), pp. 1603-1622, Society for Industrial & Applied Mathematics (SIAM)
  161. Cao, Y; Lu, J, Stochastic dynamical low-rank approximation method, Journal of Computational Physics, vol. 372 (2018), pp. 564-586, Elsevier BV
  162. Li, X; Lin, L; Lu, J, PEXSI-$\Sigma$: a Green’s function embedding method for Kohn–Sham density functional theory, Annals of Mathematical Sciences and Applications, vol. 3 no. 2 (2018), pp. 441-472, International Press of Boston
  163. Lu, J; Thicke, K, Cubic scaling algorithms for RPA correlation using interpolative separable density fitting, Journal of Computational Physics, vol. 351 (December, 2017), pp. 187-202, Elsevier BV
  164. Cao, Y; Lu, J, Lindblad equation and its semiclassical limit of the Anderson-Holstein model, Journal of Mathematical Physics, vol. 58 no. 12 (December, 2017), pp. 122105-122105, AIP Publishing
  165. Lu, J; Steinerberger, S, Riesz Energy on the Torus: Regularity of Minimizers (October, 2017)
  166. Li, L; Liu, JG; Lu, J, Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem, Journal of Statistical Physics, vol. 169 no. 2 (October, 2017), pp. 316-339, Springer Nature America, Inc
  167. Li, Q; Lu, J; Sun, W, A convergent method for linear half-space kinetic equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 51 no. 5 (September, 2017), pp. 1583-1615, E D P SCIENCES
  168. Lu, J; Steinerberger, S, A variation on the Donsker-Varadhan inequality for the principal eigenvalue., Proceedings. Mathematical, physical, and engineering sciences, vol. 473 no. 2204 (August, 2017), pp. 20160877
  169. Lu, JL; Yang, HY, A Cubic Scaling Algorithm for Excited States Calculations in Particle-Particle Random Phase Approximation, vol. 340 (July, 2017), pp. 297-308, Elsevier BV
  170. Gao, Y; Liu, JG; Lu, J, Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces, Journal of Nonlinear Science, vol. 27 no. 3 (June, 2017), pp. 873-926, Springer Nature
  171. Li, C; Lu, J; Yang, W, On extending Kohn-Sham density functionals to systems with fractional number of electrons., The Journal of chemical physics, vol. 146 no. 21 (June, 2017), pp. 214109
  172. Lu, J; Thicke, K, Orbital minimization method with ℓ1 regularization, Journal of Computational Physics, vol. 336 (May, 2017), pp. 87-103, Elsevier BV
  173. Huang, Y; Lu, J; Ming, P, A Hybrid Global-local Numerical Method for Multiscale PDEs (April, 2017)
  174. Li, L; Liu, J-G; Lu, J, Fractional stochastic differential equations satisfying fluctuation-dissipation theorem (April, 2017)
  175. Lu, J; Zhou, Z, Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems., The Journal of chemical physics, vol. 146 no. 15 (April, 2017), pp. 154110
  176. Watson, AB; Lu, J; Weinstein, MI, Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature, Journal of Mathematical Physics, vol. 58 no. 2 (February, 2017), pp. 021503-021503, AIP Publishing
  177. Niu, X; Luo, T; Lu, J; Xiang, Y, Dislocation climb models from atomistic scheme to dislocation dynamics, Journal of the Mechanics and Physics of Solids, vol. 99 (February, 2017), pp. 242-258, Elsevier BV
  178. Li, XH; Lu, J, Quasi-nonlocal coupling of nonlocal diffusions, SIAM Journal on Numerical Analysis, vol. 55 no. 5 (January, 2017), pp. 2394-2415, Society for Industrial & Applied Mathematics (SIAM)
  179. Lu, J; Yang, H, Preconditioning Orbital Minimization Method for Planewave Discretization, Multiscale Modeling & Simulation, vol. 15 no. 1 (January, 2017), pp. 254-273, Society for Industrial and Applied Mathematics
  180. Li, Q; Lu, J; Sun, W, Validity and Regularization of Classical Half-Space Equations, Journal of Statistical Physics, vol. 166 no. 2 (January, 2017), pp. 398-433, Springer Nature
  181. Li, Q; Lu, J, An asymptotic preserving method for transport equations with oscillatory scattering coefficients, Multiscale Modeling and Simulation, vol. 15 no. 4 (January, 2017), pp. 1694-1718, Society for Industrial & Applied Mathematics (SIAM)
  182. Gao, Y; Liu, JG; Lu, J, Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime, SIAM Journal on Mathematical Analysis, vol. 49 no. 3 (January, 2017), pp. 1705-1731, Society for Industrial & Applied Mathematics (SIAM)
  183. Cornelis, B; Yang, H; Goodfriend, A; Ocon, N; Lu, J; Daubechies, I, Removal of Canvas Patterns in Digital Acquisitions of Paintings, IEEE Transactions on Image Processing, vol. 26 no. 1 (January, 2017), pp. 160-171, Institute of Electrical and Electronics Engineers (IEEE)
  184. Li, Q; Lu, J; Sun, W, Half-space kinetic equations with general boundary conditions, Mathematics of Computation, vol. 86 no. 305 (January, 2017), pp. 1269-1301, American Mathematical Society (AMS)
  185. Mendl, CB; Lu, J; Lukkarinen, J, Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory., Physical review. E, vol. 94 no. 6-1 (December, 2016), pp. 062104
  186. Yu, T-Q; Lu, J; Abrams, CF; Vanden-Eijnden, E, Multiscale implementation of infinite-swap replica exchange molecular dynamics., Proceedings of the National Academy of Sciences of the United States of America, vol. 113 no. 42 (October, 2016), pp. 11744-11749
  187. Lu, J; Zhou, Z, Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics., The Journal of chemical physics, vol. 145 no. 12 (September, 2016), pp. 124109
  188. Li, X; Lu, J, Traction boundary conditions for molecular static simulations, Computer Methods in Applied Mechanics and Engineering, vol. 308 (August, 2016), pp. 310-329, Elsevier BV
  189. Lin, L; Lu, J, Decay estimates of discretized Green’s functions for Schrödinger type operators, Science China Mathematics, vol. 59 no. 8 (August, 2016), pp. 1561-1578, Springer Nature
  190. Lai, R; Lu, J, Localized density matrix minimization and linear-scaling algorithms, Journal of Computational Physics, vol. 315 (June, 2016), pp. 194-210, Elsevier BV
  191. Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations, Journal of Computational Physics, vol. 315 (June, 2016), pp. 458-466, Elsevier BV
  192. Li, X; Lin, L; Lu, J, PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham density functional theory (June, 2016)
  193. Lu, J; Wirth, B; Yang, H, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis, Journal of the Mechanics and Physics of Solids, vol. 89 (April, 2016), pp. 194-210, Elsevier, ISSN 0022-5096
  194. Delgadillo, R; Lu, J; Yang, X, Gauge-invariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials, SIAM Journal on Scientific Computing, vol. 38 no. 4 (January, 2016), pp. A2440-A2463, Society for Industrial & Applied Mathematics (SIAM)
  195. Chen, J; Lu, J, Analysis 0f the divide-and-conquer method for electronic structure calculations, Mathematics of Computation, vol. 85 no. 302 (January, 2016), pp. 2919-2938, American Mathematical Society (AMS)
  196. Lu, J; Zhang, Z; Zhou, Z, Bloch dynamics with second order Berry phase correction (December, 2015)
  197. Lu, J; Moroz, V; Muratov, CB, Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene, Journal of Nonlinear Science, vol. 25 no. 6 (December, 2015), pp. 1391-1430, Springer Nature, ISSN 0938-8974
  198. Li, C; Lu, J; Yang, W, Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals., The Journal of chemical physics, vol. 143 no. 22 (December, 2015), pp. 224110, ISSN 0021-9606
  199. Lu, J; Ying, L, Fast algorithm for periodic density fitting for Bloch waves (December, 2015)
  200. Lu, J; Otto, F, An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus (August, 2015)
  201. Yang, H; Lu, J; Brown, WP; Daubechies, I; Ying, L, Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation, Signal Processing Magazine, IEEE, vol. 32 no. 4 (July, 2015), pp. 55-63, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1053-5888
  202. Li, Q; Lu, J; Sun, W, Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics, Journal of Computational Physics, vol. 292 (July, 2015), pp. 141-167, Elsevier BV, ISSN 0021-9991
  203. Lu, J; Mendl, CB, Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation, Journal of Computational Physics, vol. 291 (June, 2015), pp. 303-316, Elsevier BV, ISSN 0021-9991
  204. Lu, J; Liu, JG; Margetis, D, Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 91 no. 3 (March, 2015), pp. 032403, ISSN 1539-3755
  205. Lu, J; Nolen, J, Reactive trajectories and the transition path process, Probability Theory and Related Fields, vol. 161 no. 1-2 (February, 2015), pp. 195-244, Springer Science and Business Media LLC, ISSN 0178-8051 ([erratum].)
  206. Lai, R; Lu, J; Osher, S, Density matrix minimization with ℓ1 regularization, Communications in Mathematical Sciences, vol. 13 no. 8 (January, 2015), pp. 2097-2117, International Press of Boston, ISSN 1539-6746
  207. Liu, J; Lu, J; Zhou, X, Efficient rare event simulation for failure problems in random media, SIAM Journal on Scientific Computing, vol. 37 no. 2 (January, 2015), pp. A609-A624, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275
  208. Lu, J; Marzuola, JL, Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics, Communications in Mathematical Sciences, vol. 13 no. 5 (January, 2015), pp. 1051-1074, International Press of Boston, ISSN 1539-6746
  209. Xian, Y; Thompson, A; Qiu, Q; Nolte, L; Nowacek, D; Lu, J; Calderbank, R, Classification of whale vocalizations using the Weyl transform, in 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), vol. 2015-August (January, 2015), pp. 773-777, ISSN 1520-6149, ISBN 9781467369978
  210. Yang, H; Lu, J; Ying, L, Crystal image analysis using 2D synchrosqueezed transforms, Multiscale Modeling and Simulation, vol. 13 no. 4 (January, 2015), pp. 1542-1572, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459
  211. Lu, J; Ying, L, Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost, Journal of Computational Physics, vol. 302 (2015), pp. 329-335, Elsevier BV, ISSN 0021-9991
  212. Xian, Y; Thompson, A; Qiu, Q; Nolte, L; Nowacek, D; Lu, J; Calderbank, R, CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM, 2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP) (2015), pp. 773-777
  213. Lu, J; Otto, F, Nonexistence of a Minimizer for Thomas–Fermi–Dirac–von Weizsäcker Model, Communications on Pure and Applied Mathematics, vol. 67 no. 10 (October, 2014), pp. 1605-1617, Wiley, ISSN 0010-3640
  214. Yang, Y; Peng, D; Lu, J; Yang, W, Excitation energies from particle-particle random phase approximation: Davidson algorithm and benchmark studies, The Journal of Chemical Physics, vol. 141 no. 12 (September, 2014), pp. 124104-124104, AIP Publishing, ISSN 0021-9606
  215. Lu, J; Vanden-Eijnden, E, Exact dynamical coarse-graining without time-scale separation, The Journal of Chemical Physics, vol. 141 no. 4 (July, 2014), pp. 044109-044109, AIP Publishing, ISSN 0021-9606
  216. E, W; Lu, J, Mathematical theory of solids: From quantum mechanics to continuum models, Discrete and Continuous Dynamical Systems, vol. 34 no. 12 (June, 2014), pp. 5085-5097, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947
  217. Kohn, RV; Lu, J; Schweizer, B; Weinstein, MI, A variational perspective on cloaking by anomalous localized resonance, Communications in Mathematical Physics, vol. 328 no. 1 (March, 2014), pp. 1-27, Springer Nature, ISSN 0010-3616
  218. Lin, L; Lu, J; Shao, S, Analysis of time reversible born-oppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 no. 1 (January, 2014), pp. 110-137, MDPI AG (Special issue on Molecular Dynamics Simulation.)
  219. Lu, J; Ming, P, Stability of a force-based hybrid method with planar sharp interface, SIAM Journal on Numerical Analysis, vol. 52 no. 4 (January, 2014), pp. 2005-2026, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429
  220. Lu, J-F; Yang, X, Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase, Acta Mathematicae Applicatae Sinica, English Series, vol. 29 no. 3 (July, 2013), pp. 465-476, ISSN 0168-9673
  221. Lu, J; Vanden-Eijnden, E, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials., The Journal of chemical physics, vol. 138 no. 8 (February, 2013), pp. 084105
  222. Lu, J; Ming, P, Convergence of a Force‐Based Hybrid Method in Three Dimensions, Communications on Pure and Applied Mathematics, vol. 66 no. 1 (January, 2013), pp. 83-108, Wiley, ISSN 0010-3640
  223. Yang, X; Lu, J; Fomel, S, Seismic modeling using the frozen Gaussian approximation, in SEG Technical Program Expanded Abstracts 2013, SEG Technical Program Expanded Abstracts 2013 (2013), pp. 4677-4682, Society of Exploration Geophysicists, ISBN 9781629931883
  224. E, W; Lu, J; Yao, Y, The landscape of complex networks: Critical nodes and a hierarchical decomposition, Methods and Applications of Analysis, vol. 20 no. 4 (2013), pp. 383-404, International Press of Boston, ISSN 1073-2772 (Special issue dedicated to Stan Osher's 70th birthday.)
  225. E, W; Lu, J, Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model, Journal of Mathematical Physics, vol. 53 no. 11 (November, 2012), pp. 115615-115615, AIP Publishing, ISSN 0022-2488
  226. Lu, J; Yang, X, Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods, Multiscale Modeling and Simulation, vol. 10 no. 2 (September, 2012), pp. 451-472, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459
  227. Lu, J; Yang, X, Convergence of frozen Gaussian approximation for high-frequency wave propagation, Communications on Pure and Applied Mathematics, vol. 65 no. 6 (June, 2012), pp. 759-789, WILEY, ISSN 0010-3640
  228. Lin, L; Lu, J; Ying, L; E, W, Optimized local basis set for Kohn–Sham density functional theory, Journal of Computational Physics, vol. 231 no. 13 (May, 2012), pp. 4515-4529, Elsevier BV, ISSN 0021-9991
  229. Lin, L; Lu, J; Ying, L; E, W, Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation, Journal of Computational Physics, vol. 231 no. 4 (February, 2012), pp. 2140-2154, Elsevier BV, ISSN 0021-9991
  230. E, W; Lu, J, The Kohn-Sham equation for deformed crystals, Memoirs of the American Mathematical Society, vol. 221 no. 1040 (2012), pp. 1-1, American Mathematical Society (AMS), ISSN 0065-9266
  231. Daubechies, I; Lu, J; Wu, H-T, Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool, Applied and Computational Harmonic Analysis, vol. 30 no. 2 (March, 2011), pp. 243-261, Elsevier BV, ISSN 1063-5203
  232. Lin, L; Yang, C; Meza, JC; Lu, J; Ying, L; E, W, SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix, ACM Transactions on Mathematical Software, vol. 37 no. 4 (February, 2011), pp. 1-19, Association for Computing Machinery (ACM), ISSN 0098-3500
  233. E, W; Lu, J, The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy–Born Rule, Archive for Rational Mechanics and Analysis, vol. 199 no. 2 (February, 2011), pp. 407-433, Springer Science and Business Media LLC, ISSN 0003-9527
  234. Lin, L; Yang, C; Lu, J; Ying, L; E, W, A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations, SIAM Journal on Scientific Computing, vol. 33 no. 3 (January, 2011), pp. 1329-1351, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275
  235. Lin, L; Lu, J; Ying, L, Fast construction of hierarchical matrix representation from matrix-vector multiplication, Journal of Computational Physics, vol. 230 no. 10 (January, 2011), pp. 4071-4087, Elsevier BV, ISSN 0021-9991
  236. E, W; Lu, J; Yang, X, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 no. 2 (2011), pp. 339-339, Springer Nature
  237. Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation, Communications in Mathematical Sciences, vol. 9 no. 3 (2011), pp. 663-683, International Press of Boston, ISSN 1539-6746
  238. E, W; Lu, J, Multiscale modeling, Scholarpedia, vol. 6 no. 10 (2011), pp. 11527, Scholarpedia
  239. Noe, F; Sarich, M; Schutte, C; Vanden-Eijnden, E, Markov state models based on milestoning, J. Chem. Phys., vol. 134 (2011), pp. 204105
  240. E, W; Lu, J, Electronic structure of smoothly deformed crystals: Cauchy‐born rule for the nonlinear tight‐binding model, Communications on Pure and Applied Mathematics, vol. 63 no. 11 (November, 2010), pp. 1432-1468, Wiley, ISSN 0010-3640
  241. E, W; Li, T; Lu, J, Localized bases of eigensubspaces and operator compression, Proceedings of the National Academy of Sciences, vol. 107 no. 4 (January, 2010), pp. 1273-1278, Proceedings of the National Academy of Sciences, ISSN 0027-8424
  242. Lin, L; Lu, J; Car, R; E, W, Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems, Physical Review B, vol. 79 no. 11 (March, 2009), pp. 115133, American Physical Society (APS), ISSN 1098-0121
  243. García-Cervera, CJ; Lu, J; Xuan, Y; E, W, Linear-scaling subspace-iteration algorithm with optimally localized nonorthogonal wave functions for Kohn-Sham density functional theory, Physical Review B, vol. 79 no. 11 (March, 2009), pp. 115110, American Physical Society (APS), ISSN 1098-0121
  244. Lin, L; Lu, J; Ying, L; Car, R; E, W, Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems, Commun. Math. Sci., vol. 7 no. 3 (2009), pp. 755-777, International Press of Boston
  245. Lin, L; Lu, J; Ying, L; E, W, Pole-based approximation of the Fermi-Dirac function, Chin. Ann. Math. Ser. B, vol. 30 no. 6 (2009), pp. 729-742, Springer Nature
  246. Garcia-Cervera, CJ; Ren, W; Lu, J; E, W, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 no. 5 (2008), pp. 1025-1033
  247. E, W; Lu, J, The Elastic Continuum Limit of the Tight Binding Model*, Chinese Annals of Mathematics, Series B, vol. 28 no. 6 (December, 2007), pp. 665-676, Springer Science and Business Media LLC, ISSN 0252-9599
  248. E, W; García-Cervera, CJ; Lu, J, A sub-linear scaling algorithm for computing the electronic structure of materials, Communications in Mathematical Sciences, vol. 5 no. 4 (2007), pp. 999-1026, International Press of Boston, ISSN 1539-6746
  249. E, W; Lu, J, Seamless multiscale modeling via dynamics on fiber bundles, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 649-663, International Press of Boston, ISSN 1539-6746
  250. E, W; Lu, J, The continuum limit and QM-continuum approximation of quantum mechanical models of solids, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 679-696, International Press of Boston, ISSN 1539-6746
  251. E, W; Lu, J; Yang, JZ, Uniform accuracy of the quasicontinuum method, Physical Review B, vol. 74 no. 21 (December, 2006), pp. 214115, American Physical Society (APS), ISSN 1098-0121