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Publications of Jianfeng Lu    :chronological  by type  bibtex listing:

  1. 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 [doi]  [abs]
  2. 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 [doi]  [abs]
  3. 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 [doi]  [abs]
  4. 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) [doi]  [abs]
  5. 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 [doi]  [abs]
  6. 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 [doi]  [abs]
  7. 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 [doi]  [abs]
  8. Huang, Y; Lu, J; Ming, P, A Hybrid Global-local Numerical Method for Multiscale PDEs (April, 2017)  [abs]
  9. 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 [doi]  [abs]
  10. 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) [doi]  [abs]
  11. 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 [doi]  [abs]
  12. 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  [abs]
  13. 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) [doi]  [abs]
  14. Lu, J; Lu, Y; Wang, M, A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations (January, 2021)  [abs]
  15. 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  [abs]
  16. Lu, J; Lu, Y, A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems (May, 2021)  [abs]
  17. 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 [doi]  [abs]
  18. Craig, K; Liu, J-G; Lu, J; Marzuola, JL; Wang, L, A Proximal-Gradient Algorithm for Crystal Surface Evolution (June, 2020)  [abs]
  19. 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) [doi]  [abs]
  20. 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) [doi]  [abs]
  21. 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 [doi]  [abs]
  22. 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 [doi]  [abs]
  23. 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 [doi]  [abs]
  24. 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) [doi]  [abs]
  25. 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)  [abs]
  26. 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 [doi]  [abs]
  27. 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 [doi]  [abs]
  28. 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 [doi]  [abs]
  29. Lu, Y; Lu, J; Nolen, J, Accelerating Langevin Sampling with Birth-death (May, 2019)  [abs]
  30. Lu, Y; Lu, J; Nolen, J, Accelerating Langevin Sampling with Birth-death (2019)
  31. 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) [doi]  [abs]
  32. 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 [doi]  [abs]
  33. Lu, J; Stubbs, KD, Algebraic localization implies exponential localization in non-periodic insulators (January, 2021)  [abs]
  34. Lu, J; Stubbs, KD, Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators (July, 2021)  [abs]
  35. 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) [doi]  [abs]
  36. Lu, J; Otto, F, An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus (August, 2015)  [abs]
  37. 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) [doi]  [abs]
  38. 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 [doi]  [abs]
  39. 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  [abs]
  40. 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 [doi]  [abs]
  41. 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) [doi]  [abs]
  42. 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.) [doi]  [abs]
  43. 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 [doi]  [abs]
  44. 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 [doi]  [abs]
  45. 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 [doi]  [abs]
  46. 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 [doi]  [abs]
  47. Lu, J; Zhang, Z; Zhou, Z, Bloch dynamics with second order Berry phase correction (December, 2015)  [abs]
  48. 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) [doi]  [abs]
  49. 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 [doi]  [abs]
  50. 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 [doi]  [abs]
  51. 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
  52. 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 [arXiv:1501.06254], [repository], [doi]  [abs]
  53. 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 [doi]  [abs]
  54. Lu, J; Wang, L, Complexity of zigzag sampling algorithm for strongly log-concave distributions, Stat Comput, vol. 32 (December, 2020), pp. 48  [abs]
  55. Lu, J; Wang, L, Complexity of zigzag sampling algorithm for strongly log-concave distributions, Statistics and Computing, vol. 32 no. 3 (June, 2022) [doi]  [abs]
  56. 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 [arXiv:1410.7757], [doi]  [abs]
  57. 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 [doi]  [abs]
  58. 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) [doi]  [abs]
  59. 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 [doi]  [abs]
  60. 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  [abs]
  61. 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 [doi]  [abs]
  62. 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 [doi]  [abs]
  63. 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 [doi]  [abs]
  64. 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  [abs]
  65. 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) [doi]  [abs]
  66. 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 [doi]  [abs]
  67. 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 [doi]  [abs]
  68. 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) [doi]  [abs]
  69. 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 [arXiv:1402.1262], [repository], [doi]  [abs]
  70. 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 [doi]  [abs]
  71. 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 [doi]  [abs]
  72. 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) [doi]  [abs]
  73. 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) [doi]  [abs]
  74. Lu, J; Marzuola, JL; Watson, AB, Defect resonances of truncated crystal structures, SIAM J. Appl. Math 82, vol. 1 (June, 2020), pp. 49-74  [abs]
  75. 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 [arXiv:1403.1525], [doi]  [abs]
  76. 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 [doi]  [abs]
  77. 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 [arXiv:1409.0476], [doi]  [abs]
  78. 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 [doi]  [abs]
  79. 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 [doi]  [abs]
  80. 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 [doi]  [abs]
  81. 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 [doi]  [abs]
  82. 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 [doi]  [abs]
  83. Bal, G; Becker, S; Drouot, A; Kammerer, CF; Lu, J; Watson, A, Edge state dynamics along curved interfaces (June, 2021)  [abs]
  84. 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 [doi]
  85. Khoo, Y; Lu, J; Ying, L, Efficient construction of tensor ring representations from sampling, Multiscale Modeling and Simulation, vol. 19 no. 3 (January, 2021) [doi]  [abs]
  86. 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) [doi]  [abs]
  87. 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 [arXiv:1404.4729], [doi]  [abs]
  88. 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  [abs]
  89. Ge, R; Lee, H; Lu, J; Risteski, A, Efficient sampling from the Bingham distribution, Algorithmic Learning Theory. PMLR, 2021 (September, 2020)  [abs]
  90. 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 [doi]  [abs]
  91. 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 [doi]  [abs]
  92. 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
  93. 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 [doi]  [abs]
  94. 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 [arXiv:1409.0046], [doi]  [abs]
  95. Ding, Z; Li, Q; Lu, J, Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds (March, 2020)  [abs]
  96. 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 [doi]  [abs]
  97. 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 [doi]  [abs]
  98. 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 [arXiv:1404.4225], [doi]  [abs]
  99. 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 [doi]  [abs]
  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  [abs]
  101. 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 [doi]  [abs]
  102. 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 [doi]  [abs]
  103. 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 [doi]
  104. Lu, J; Ying, L, Fast algorithm for periodic density fitting for Bloch waves (December, 2015)  [abs]
  105. 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) [doi]  [abs]
  106. 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 [doi]  [abs]
  107. Lu, J; Murphey, C; Steinerberger, S, Fast Localization of Eigenfunctions via Smoothed Potentials, Journal of Scientific Computing, vol. 90 no. 1 (January, 2022) [doi]  [abs]
  108. Li, W; Lu, J; Wang, L, Fisher information regularization schemes for Wasserstein gradient flows, Journal of Computational Physics, vol. 416 (September, 2020) [doi]  [abs]
  109. 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 [doi]  [abs]
  110. Li, L; Liu, J-G; Lu, J, Fractional stochastic differential equations satisfying fluctuation-dissipation theorem (April, 2017)  [abs]
  111. 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 [doi]  [abs]
  112. 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 [doi]  [abs]
  113. 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 [doi]  [abs]
  114. 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) [doi]  [abs]
  115. Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum Many-Body Systems, Physical Review Letters, vol. 121 no. 8 (August, 2018), pp. 080406 [doi]  [abs]
  116. 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) [doi]  [abs]
  117. 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 [doi]  [abs]
  118. Huang, H; Landsberg, JM; Lu, J, Geometry of backflow transformation ansatz for quantum many-body fermionic wavefunctions (November, 2021)  [abs]
  119. 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 [doi]  [abs]
  120. 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  [abs]
  121. 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  [abs]
  122. 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 [doi]  [abs]
  123. 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) [doi]  [abs]
  124. 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  [abs]
  125. 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  [abs]
  126. 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 [doi]  [abs]
  127. 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 [doi]  [abs]
  128. 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 [doi]  [abs]
  129. 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) [doi]  [abs]
  130. 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 [23464138], [doi]  [abs]
  131. 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 [doi]  [abs]
  132. 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) [doi]  [abs]
  133. 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
  134. 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 [doi]  [abs]
  135. 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 [doi]  [abs]
  136. 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 [doi]  [abs]
  137. 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)  [abs]
  138. 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 [doi]  [abs]
  139. 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 [doi]  [abs]
  140. 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 [doi]
  141. Chen, K; Chen, S; Li, Q; Lu, J; Wright, SJ, Low-rank approximation for multiscale PDEs (November, 2021)  [abs]
  142. 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)  [abs]
  143. 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 [doi]  [abs]
  144. Chen, S; Li, Q; Lu, J; Wright, SJ, Manifold Learning and Nonlinear Homogenization (November, 2020)  [abs]
  145. Noe, F; Sarich, M; Schutte, C; Vanden-Eijnden, E, Markov state models based on milestoning, J. Chem. Phys., vol. 134 (2011), pp. 204105
  146. 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 [doi]
  147. 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 [doi]  [abs]
  148. 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) [doi]
  149. 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 [doi]  [abs]
  150. 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 [doi]  [abs]
  151. 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 [doi]  [abs]
  152. 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 [doi]  [abs]
  153. E, W; Lu, J, Multiscale modeling, Scholarpedia, vol. 6 no. 10 (2011), pp. 11527, Scholarpedia [Multiscale_modeling], [doi]
  154. Lu, J; Steinerberger, S, Neural collapse under cross-entropy loss, Applied and Computational Harmonic Analysis, vol. 59 (July, 2022), pp. 224-241 [doi]  [abs]
  155. Lu, J; Steinerberger, S, Neural Collapse with Cross-Entropy Loss (December, 2020)  [abs]
  156. 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  [abs]
  157. 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 [doi]  [abs]
  158. 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) [doi]  [abs]
  159. Kovalsky, SZ; Aigerman, N; Daubechies, I; Kazhdan, M; Lu, J; Steinerberger, S, Non-Convex Planar Harmonic Maps (January, 2020)  [abs]
  160. 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 [doi]
  161. Cai, Z; Lu, J; Yang, S, Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth (June, 2020)  [abs]
  162. 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) [doi]  [abs]
  163. Lin, L; Lu, J; Ying, L, Numerical methods for Kohn-Sham density functional theory, Acta Numerica, vol. 28 (May, 2019), pp. 405-539 [doi]  [abs]
  164. 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 [doi]  [abs]
  165. 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 [arXiv:1408.1782], [doi]  [abs]
  166. Cai, Z; Lu, J; Stubbs, K, On discrete Wigner transforms (February, 2018)  [abs]
  167. 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  [abs]
  168. 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)  [abs]
  169. 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  [abs]
  170. 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) [doi]  [abs]
  171. 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 [doi]  [abs]
  172. 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 [doi]  [abs]
  173. Lu, J; Steinerberger, S, On Pointwise Products of Elliptic Eigenfunctions (October, 2018)  [abs]
  174. 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) [doi]  [abs]
  175. Chen, Z; Lu, J; Lu, Y; Zhang, X, On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem, SIAM Journal on Numerical Analysis, vol. 62 no. 2 (April, 2024), pp. 667-691, Society for Industrial & Applied Mathematics (SIAM) [doi]
  176. Chen, Z; Li, Y; Lu, J, On the global convergence of randomized coordinate gradient descent for non-convex optimization (January, 2021)  [abs]
  177. 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 [doi]  [abs]
  178. Chen, Z; Lu, J; Lu, Y, On the Representation of Solutions to Elliptic PDEs in Barron Spaces (June, 2021)  [abs]
  179. 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  [abs]
  180. 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 [doi]  [abs]
  181. Lu, J; Otto, F; Wang, L, Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media (September, 2021)  [abs]
  182. 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 [doi]  [abs]
  183. 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 [doi]  [abs]
  184. 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 [doi]  [abs]
  185. Lu, J; Thicke, K, Orbital minimization method with ℓ1 regularization, Journal of Computational Physics, vol. 336 (May, 2017), pp. 87-103, Elsevier BV [doi]  [abs]
  186. 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 [arXiv:1405.4949], [doi]  [abs]
  187. 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 [doi]  [abs]
  188. 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 [doi]
  189. Li, X; Lin, L; Lu, J, PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham density functional theory (June, 2016)  [abs]
  190. 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) [doi]  [abs]
  191. 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) [doi]  [abs]
  192. 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 [doi]
  193. 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 [doi]  [abs]
  194. Sachs, M; Sen, D; Lu, J; Dunson, D, Posterior computation with the Gibbs zig-zag sampler (April, 2020)  [abs]
  195. 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 [doi]  [abs]
  196. Lu, J; Sachs, M; Steinerberger, S, Quadrature Points via Heat Kernel Repulsion, Constructive Approximation, vol. 51 no. 1 (February, 2020), pp. 27-48 [doi]  [abs]
  197. 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 [repository], [doi]  [abs]
  198. 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 [doi]  [abs]
  199. 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) [doi]  [abs]
  200. Ding, Z; Li, Q; Lu, J; Wright, SJ, Random Coordinate Langevin Monte Carlo (October, 2020)  [abs]
  201. 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  [abs]
  202. 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  [abs]
  203. 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 [doi]  [abs]
  204. 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) [doi]  [abs]
  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].) [arXiv:1303.1744], [doi]  [abs]
  206. 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) [doi]  [abs]
  207. Lu, J; Steinerberger, S, Riesz Energy on the Torus: Regularity of Minimizers (October, 2017)  [abs]
  208. Lu, J; Lu, Y; Nolen, J, Scaling limit of the Stein variational gradient descent: The mean field regime, SIAM Journal on Mathematical Analysis, vol. 51 no. 2 (January, 2019), pp. 648-671, Society for Industrial and Applied Mathematics [doi]  [abs]
  209. Lu, J; Wu, Y; Xiang, Y, Score-based Transport Modeling for Mean-Field Fokker-Planck Equations, vol. 503 (April, 2023) [doi]  [abs]
  210. 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 [doi]  [abs]
  211. 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 [arXiv:1304.3542], [1], [doi]  [abs]
  212. 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 [doi]  [abs]
  213. 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  [abs]
  214. 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 [doi]  [abs]
  215. 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) [doi]  [abs]
  216. 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 [doi]  [abs]
  217. Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations, Journal of Computational Physics, vol. 315 (June, 2016), pp. 458-466, Elsevier BV [doi]  [abs]
  218. 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 [doi]  [abs]
  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 [doi]  [abs]
  220. 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 [doi]  [abs]
  221. Cao, Y; Lu, J, Stochastic dynamical low-rank approximation method, Journal of Computational Physics, vol. 372 (2018), pp. 564-586, Elsevier BV [doi]  [abs]
  222. 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 [doi]  [abs]
  223. 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) [doi]  [abs]
  224. 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) [doi]
  225. 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 [arXiv:1305.7205], [doi]  [abs]
  226. Cao, Y; Lu, J, Structure-preserving numerical schemes for Lindblad equations (March, 2021)  [abs]
  227. 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) [doi]  [abs]
  228. 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)  [abs]
  229. Lu, J; Steinerberger, S, Synchronization of Kuramoto oscillators in dense networks, Nonlinearity, vol. 33 no. 11 (November, 2020), pp. 5905-5918 [doi]  [abs]
  230. 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 [doi]  [abs]
  231. 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  [abs]
  232. 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  [abs]
  233. 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) [doi]  [abs]
  234. Cao, Y; Lu, J, Tensorization of the strong data processing inequality for quantum chi-square divergences, Quantum, vol. 3 (January, 2019) [doi]  [abs]
  235. 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 [doi]  [abs]
  236. 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 [doi]  [abs]
  237. 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 [doi]  [abs]
  238. 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 [doi]  [abs]
  239. 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 [doi]  [abs]
  240. 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.) [doi]
  241. 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 [doi]  [abs]
  242. 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 [doi]  [abs]
  243. 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 [doi]  [abs]
  244. 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 [doi]  [abs]
  245. 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) [doi]  [abs]
  246. 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 [doi]  [abs]
  247. 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 [doi]  [abs]
  248. Han, J; Li, Y; Lin, L; Lu, J; Zhang, J; Zhang, L, Universal approximation of symmetric and anti-symmetric functions (December, 2019)  [abs]
  249. 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 [doi]  [abs]
  250. 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 [doi]  [abs]
  251. 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 [doi]  [abs]
  252. 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) [doi]  [abs]

 

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