Academic Appointments
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Professor, Mathematics
Honors & Awards
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SIAM Fellow, SIAM (2024)
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Invited lecture, The International Congress of Mathematicians (2022)
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Morningside Silver Medal of Applied Mathematics, ICCM (2016)
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James H. Wilkinson Prize in Numerical Analysis and Scientific Computing, SIAM (2013)
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Feng Kang Prize of Scientific Computing, Chinese Academy of Sciences (2011)
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CAREER Award, National Science Foundation (2009)
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Alfred P. Sloan Research Fellowship, Sloan Foundation (2007)
2025-26 Courses
- Computational Methods of Applied Mathematics
CME 306, MATH 220B (Win) -
Independent Studies (5)
- Advanced Reading and Research
MATH 360 (Aut, Win, Spr, Sum) - Curricular Practical Training
CME 390 (Aut, Win, Spr, Sum) - Master's Research
CME 291 (Aut, Win, Spr, Sum) - Ph.D. Research
CME 400 (Aut, Win, Spr, Sum) - Ph.D. Research Rotation
CME 391 (Aut, Win, Spr, Sum)
- Advanced Reading and Research
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Prior Year Courses
2024-25 Courses
- Topics in Applied Math: Quantum Algorithms for Scientific Computation
MATH 275A (Aut) - Computational Methods of Applied Mathematics
CME 306, MATH 220B (Win) - Introduction to scientific computing with machine learning applications
CME 108 (Aut)
2023-24 Courses
- Computational Methods of Applied Mathematics
CME 306, MATH 220B (Win) - Introduction to Scientific Computing
CME 108 (Aut) - Topics in Applied Math II
MATH 275B (Win)
2022-23 Courses
- Linear Algebra, Multivariable Calculus, and Modern Applications
MATH 51 (Win) - Numerical Solution of Partial Differential Equations
CME 306, MATH 226 (Spr)
- Topics in Applied Math: Quantum Algorithms for Scientific Computation
Stanford Advisees
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Postdoctoral Faculty Sponsor
Xun Tang -
Doctoral Dissertation Advisor (AC)
Haoxuan Chen, Hongrui Chen, Rajat Dwaraknath, HONGKANG NI, Yinuo Ren, Nan Sheng -
Doctoral Dissertation Co-Advisor (AC)
Ya-Chi Chu, Shaghayegh Fazliani -
Doctoral (Program)
Lei Shu
All Publications
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Multimodal sampling via approximate symmetries
RESEARCH IN THE MATHEMATICAL SCIENCES
2025; 12 (2)
View details for DOI 10.1007/s40687-025-00520-y
View details for Web of Science ID 001469319100001
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An Analysis of Offline Model-Based Learning with Action Noise
JOURNAL OF SCIENTIFIC COMPUTING
2025; 103 (2)
View details for DOI 10.1007/s10915-025-02873-6
View details for Web of Science ID 001459451500002
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Correcting convexity bias in function and functional estimate
RESEARCH IN THE MATHEMATICAL SCIENCES
2025; 12 (1)
View details for DOI 10.1007/s40687-024-00483-6
View details for Web of Science ID 001428500500003
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A perturbative analysis for noisy spectral estimation
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
2025; 74
View details for DOI 10.1016/j.acha.2024.101716
View details for Web of Science ID 001340482900001
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Multidimensional unstructured sparse recovery via eigenmatrix
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
2025; 74
View details for DOI 10.1016/j.acha.2024.101725
View details for Web of Science ID 001360658700001
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Computing free convolutions via contour integrals
RANDOM MATRICES-THEORY AND APPLICATIONS
2024
View details for DOI 10.1142/S2010326324500242
View details for Web of Science ID 001336842100001
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Quantum Multiple Eigenvalue Gaussian filtered Search: an efficient and versatile quantum phase estimation method
QUANTUM
2024; 8
View details for DOI 10.48550/arXiv.2402.01013
View details for Web of Science ID 001330301100001
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Heisenberg-limited Hamiltonian learning for interacting bosons
NPJ QUANTUM INFORMATION
2024; 10 (1)
View details for DOI 10.1038/s41534-024-00881-2
View details for Web of Science ID 001310159900001
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Solving high-dimensional Fokker-Planck equation with functional hierarchical tensor
JOURNAL OF COMPUTATIONAL PHYSICS
2024; 511
View details for DOI 10.1016/j.jcp.2024.113110
View details for Web of Science ID 001244140600001
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Quantum Hamiltonian Learning for the Fermi-Hubbard Model
ACTA APPLICANDAE MATHEMATICAE
2024; 191 (1)
View details for DOI 10.1007/s10440-024-00651-4
View details for Web of Science ID 001233460900001
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Eigenmatrix for unstructured sparse recovery
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
2024; 71
View details for DOI 10.1016/j.acha.2024.101653
View details for Web of Science ID 001215953000001
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ACCELERATING PRIMAL-DUAL METHODS FOR REGULARIZED MARKOV DECISION PROCESSES
SIAM JOURNAL ON OPTIMIZATION
2024; 34 (1): 764-789
View details for DOI 10.1137/21M1468851
View details for Web of Science ID 001171009600014
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Multi-Objective Optimization via Wasserstein-Fisher-Rao Gradient Flow
edited by Dasgupta, S., Mandt, S., Li, Y.
JMLR-JOURNAL MACHINE LEARNING RESEARCH. 2024
View details for Web of Science ID 001286500304003
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Understanding the Generalization Benefits of Late Learning Rate Decay
edited by Dasgupta, S., Mandt, S., Li, Y.
JMLR-JOURNAL MACHINE LEARNING RESEARCH. 2024
View details for Web of Science ID 001286500305026
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Statistical Spatially Inhomogeneous Diffusion Inference
edited by Wooldridge, M., Dy, J., Natarajan, S.
ASSOC ADVANCEMENT ARTIFICIAL INTELLIGENCE. 2024: 14820-14828
View details for Web of Science ID 001239979300085
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Adaptive low-depth quantum algorithms for robust multiple-phase estimation
PHYSICAL REVIEW A
2023; 108 (6)
View details for DOI 10.1103/PhysRevA.108.062408
View details for Web of Science ID 001156769200003
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Operator shifting for noisy elliptic systems
RESEARCH IN THE MATHEMATICAL SCIENCES
2023; 10 (4)
View details for DOI 10.1007/s40687-023-00414-x
View details for Web of Science ID 001100954000001
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On low-depth algorithms for quantum phase estimation
QUANTUM
2023; 7
View details for Web of Science ID 001121007100001
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A note on spike localization for line spectrum estimation
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
2023; 67
View details for DOI 10.1016/j.acha.2023.101577
View details for Web of Science ID 001052307600001
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High-dimensional density estimation with tensorizing flow
RESEARCH IN THE MATHEMATICAL SCIENCES
2023; 10 (3)
View details for DOI 10.1007/s40687-023-00395-x
View details for Web of Science ID 001012465700001
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On efficient quantum block encoding of pseudo- differential operators
QUANTUM
2023; 7
View details for Web of Science ID 001008631400001
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Generative modeling via tree tensor network states
RESEARCH IN THE MATHEMATICAL SCIENCES
2023; 10 (2)
View details for DOI 10.1007/s40687-023-00381-3
View details for Web of Science ID 000980593000001
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Variational actor-critic algorithms*,**
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
2023; 29
View details for DOI 10.1051/cocv/2023007
View details for Web of Science ID 000945724800002
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Solving Traveltime Tomography with Deep Learning
COMMUNICATIONS IN MATHEMATICS AND STATISTICS
2023
View details for DOI 10.1007/s40304-022-00329-z
View details for Web of Science ID 000938837300001
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DOUBLE FLIP MOVE FOR ISING MODELS WITH MIXED BOUNDARY CONDITIONS
JOURNAL OF COMPUTATIONAL MATHEMATICS
2023
View details for DOI 10.4208/jcm.2211-m2022-0186
View details for Web of Science ID 001004035000001
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Efficient long-range convolutions for point clouds
JOURNAL OF COMPUTATIONAL PHYSICS
2023; 473
View details for DOI 10.1016/j.jcp.2022.111692
View details for Web of Science ID 000916044200007
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Coarse-proxy reduced basis methods for integral equations
JOURNAL OF COMPUTATIONAL PHYSICS
2023; 475
View details for DOI 10.1016/j.jcp.2022.111835
View details for Web of Science ID 000918602200001
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COMBINING RESAMPLING AND REWEIGHTING FOR FAITHFUL STOCHASTIC OPTIMIZATION
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2023; 21 (6): 1569-1588
View details for Web of Science ID 001104775200009
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When can Regression-Adjusted Control Variates Help? Rare Events, Sobolev Embedding and Minimax Optimality
edited by Oh, A., Neumann, T., Globerson, A., Saenko, K., Hardt, M., Levine, S.
NEURAL INFORMATION PROCESSING SYSTEMS (NIPS). 2023
View details for Web of Science ID 001230083405020
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ANNEALED IMPORTANCE SAMPLING FOR ISING MODELS WITH MIXED BOUNDARY CONDITIONS*
JOURNAL OF COMPUTATIONAL MATHEMATICS
2023; 41 (3): 526-534
View details for DOI 10.4208/jcm.2211-m2022-0172
View details for Web of Science ID 000992670000001
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COMBINING RESAMPLING AND REWEIGHTING FOR FAITHFUL STOCHASTIC OPTIMIZATION
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2023; 21 (6): 1569-1588
View details for Web of Science ID 001127351100009
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Continuous-in-time Limit for Bayesian Bandits
JOURNAL OF MACHINE LEARNING RESEARCH
2023; 24
View details for Web of Science ID 001147395600001
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OPERATOR SHIFTING FOR MODEL-BASED POLICY EVALUATION
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2023; 21 (8): 2169-2193
View details for Web of Science ID 001110333900003
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Analytic continuation from limited noisy Matsubara data
JOURNAL OF COMPUTATIONAL PHYSICS
2022; 469
View details for DOI 10.1016/j.jcp.2022.111549
View details for Web of Science ID 000862984300003
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Stable factorization for phase factors of quantum signal processing
QUANTUM
2022; 6
View details for DOI 10.22331/q-2022-10-20-842
View details for Web of Science ID 000897861400001
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Pole Recovery From Noisy Data on Imaginary Axis
JOURNAL OF SCIENTIFIC COMPUTING
2022; 92 (3)
View details for DOI 10.1007/s10915-022-01963-z
View details for Web of Science ID 000836253400003
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A Riemannian mean field formulation for two-layer neural networks with batch normalization
RESEARCH IN THE MATHEMATICAL SCIENCES
2022; 9 (3)
View details for DOI 10.1007/s40687-022-00344-0
View details for Web of Science ID 000828113200001
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On Lyapunov functions and particle methods for regularized minimax problems
RESEARCH IN THE MATHEMATICAL SCIENCES
2022; 9 (2)
View details for DOI 10.1007/s40687-022-00315-5
View details for Web of Science ID 000764117000001
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A semigroup method for high dimensional elliptic PDEs and eigenvalue problems based on neural networks
JOURNAL OF COMPUTATIONAL PHYSICS
2022; 453
View details for DOI 10.1016/j.jcp.2022.110939
View details for Web of Science ID 000762371600001
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A NOTE ON OPTIMIZATION FORMULATIONS OF MARKOV DECISION PROCESSES
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2022; 20 (3): 727-745
View details for Web of Science ID 000776355400005
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Operator Shifting for General Noisy Matrix Systems
SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE
2022; 4 (4): 1320-1346
View details for DOI 10.1137/21M1416849
View details for Web of Science ID 000978251900005
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Solving optical tomography with deep learning
ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS
2022; 7 (2): 195-220
View details for Web of Science ID 000864441900003
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How to Learn when Data Gradually Reacts to Your Model
edited by Camps-Valls, G., Ruiz, F. J., Valera
JMLR-JOURNAL MACHINE LEARNING RESEARCH. 2022
View details for Web of Science ID 000828072704004
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Enterprise-Scale Search: Accelerating Inference for Sparse Extreme Multi-Label Ranking Trees
ASSOC COMPUTING MACHINERY. 2022: 452-461
View details for DOI 10.1145/3485447.3511973
View details for Web of Science ID 000852713000047
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Solving inverse wave scattering with deep learning
ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS
2022; 7 (1): 23-48
View details for Web of Science ID 000785623200002
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Approximate inversion of discrete Fourier integral operators
JOURNAL OF COMPUTATIONAL PHYSICS
2021; 446
View details for DOI 10.1016/j.jcp.2021.110654
View details for Web of Science ID 000730094300007
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Distributed-Memory H-Matrix Algebra I: Data Distribution and Matrix-Vector Multiplication
CSIAM TRANSACTIONS ON APPLIED MATHEMATICS
2021; 2 (3): 431-459
View details for DOI 10.4208/csiam-am.2020-0206
View details for Web of Science ID 000798416000002
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A simple multiscale method for mean field games
JOURNAL OF COMPUTATIONAL PHYSICS
2021; 439
View details for DOI 10.1016/j.jcp.2021.110385
View details for Web of Science ID 000663421700008
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Solving parametric PDE problems with artificial neural networks
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
2021; 32 (3): 421-435
View details for DOI 10.1017/S0956792520000182
View details for Web of Science ID 000647468700003
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A Heuristic Independent Particle Approximation to Determinantal Point Processes
JOURNAL OF SCIENTIFIC COMPUTING
2021; 87 (2)
View details for DOI 10.1007/s10915-021-01472-5
View details for Web of Science ID 000637993500003
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Natural Gradient for Combined Loss Using Wavelets
JOURNAL OF SCIENTIFIC COMPUTING
2021; 86 (2)
View details for DOI 10.1007/s10915-020-01367-x
View details for Web of Science ID 000610070100009
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MULTILEVEL FINE-TUNING: CLOSING GENERALIZATION GAPS IN APPROXIMATION OF SOLUTION MAPS UNDER A LIMITED BUDGET FOR TRAINING DATA
MULTISCALE MODELING & SIMULATION
2021; 19 (1): 344–73
View details for DOI 10.1137/20M1326404
View details for Web of Science ID 000636051200013
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HIERARCHICAL LOW-RANK STRUCTURE OF PARAMETERIZED DISTRIBUTIONS
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2021; 19 (3): 865-874
View details for Web of Science ID 000648273300014
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A SHARP CONVERGENCE RATE FOR A MODEL EQUATION OF THE ASYNCHRONOUS STOCHASTIC GRADIENT DESCENT
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2021; 19 (3): 851-863
View details for Web of Science ID 000648273300013
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AN EFFICIENT DYNAMICAL LOW-RANK ALGORITHM FOR THE BOLTZMANN-BGK EQUATION CLOSE TO THE COMPRESSIBLE VISCOUS FLOW REGIME
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2021; 43 (5): B1057-B1080
View details for DOI 10.1137/21M1392772
View details for Web of Science ID 000712863700020
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Top-k eXtreme Contextual Bandits with Arm Hierarchy
edited by Meila, M., Zhang, T.
JMLR-JOURNAL MACHINE LEARNING RESEARCH. 2021
View details for Web of Science ID 000768182705053
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ACHIEVING ADVERSARIAL ROBUSTNESS REQUIRES AN ACTIVE TEACHER
JOURNAL OF COMPUTATIONAL MATHEMATICS
2021; 39 (6): 880-896
View details for DOI 10.4208/jcm.2105-m2020-0310
View details for Web of Science ID 000711024000005
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How to Learn when Data Reacts to Your Model: Performative Gradient Descent
edited by Meila, M., Zhang, T.
JMLR-JOURNAL MACHINE LEARNING RESEARCH. 2021
View details for Web of Science ID 000683104604061
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ON THE GRADIENT FLOW STRUCTURE OF THE ISOTROPIC LANDAU EQUATION
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2021; 19 (8): 2319-2333
View details for Web of Science ID 000704967300011
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EFFICIENT CONSTRUCTION OF TENSOR RING REPRESENTATIONS FROM SAMPLING
MULTISCALE MODELING & SIMULATION
2021; 19 (3): 1261-1284
View details for DOI 10.1137/17M1154382
View details for Web of Science ID 000703608600006
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Stochastic modified equations for the asynchronous stochastic gradient descent
INFORMATION AND INFERENCE-A JOURNAL OF THE IMA
2020; 9 (4): 851–73
View details for DOI 10.1093/imaiai/iaz030
View details for Web of Science ID 000610112600004
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Hierarchical Interpolative Factorization Preconditioner for Parabolic Equations
JOURNAL OF SCIENTIFIC COMPUTING
2020; 85 (2)
View details for DOI 10.1007/s10915-020-01343-5
View details for Web of Science ID 000593840000001
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Mirror Descent Algorithms for Minimizing Interacting Free Energy
JOURNAL OF SCIENTIFIC COMPUTING
2020; 84 (3)
View details for DOI 10.1007/s10915-020-01303-z
View details for Web of Science ID 000568508200001
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Meta-learning pseudo-differential operators with deep neural networks
JOURNAL OF COMPUTATIONAL PHYSICS
2020; 408
View details for DOI 10.1016/j.jcp.2020.109309
View details for Web of Science ID 000521731200026
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Solving electrical impedance tomography with deep learning
JOURNAL OF COMPUTATIONAL PHYSICS
2020; 404
View details for DOI 10.1016/j.jcp.2019.109119
View details for Web of Science ID 000507854200027
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RECURSIVELY PRECONDITIONED HIERARCHICAL INTERPOLATIVE FACTORIZATION FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
COMMUNICATIONS IN MATHEMATICAL SCIENCES
2020; 18 (1): 91–108
View details for Web of Science ID 000562508800004
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A SIMPLE SOLVER FOR THE FRACTIONAL LAPLACIAN IN MULTIPLE DIMENSIONS
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2020; 42 (2): A878–A900
View details for DOI 10.1137/18M1170406
View details for Web of Science ID 000551251700001
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SEMIDEFINITE RELAXATION OF MULTIMARGINAL OPTIMAL TRANSPORT FOR STRICTLY CORRELATED ELECTRONS IN SECOND QUANTIZATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2020; 42 (6): B1462–B1489
View details for DOI 10.1137/20M1310977
View details for Web of Science ID 000600650400020
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ANALYTICAL LOW-RANK COMPRESSION VIA PROXY POINT SELECTION
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
2020; 41 (3): 1059–85
View details for DOI 10.1137/19M1247838
View details for Web of Science ID 000576451600005
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Hessian transport gradient flows
RESEARCH IN THE MATHEMATICAL SCIENCES
2019; 6 (4)
View details for DOI 10.1007/s40687-019-0198-9
View details for Web of Science ID 000509100300001
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BCR-Net: A neural network based on the nonstandard wavelet form
JOURNAL OF COMPUTATIONAL PHYSICS
2019; 384: 1–15
View details for DOI 10.1016/j.jcp.2019.02.002
View details for Web of Science ID 000460888400001
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A multiscale neural network based on hierarchical nested bases
RESEARCH IN THE MATHEMATICAL SCIENCES
2019; 6 (2)
View details for DOI 10.1007/s40687-019-0183-3
View details for Web of Science ID 000464654500001
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Simple, direct and efficient multi-way spectral clustering
INFORMATION AND INFERENCE-A JOURNAL OF THE IMA
2019; 8 (1): 181–203
View details for DOI 10.1093/imaiai/iay008
View details for Web of Science ID 000469774500006
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Fast algorithms for integral formulations of steady-state radiative transfer equation
JOURNAL OF COMPUTATIONAL PHYSICS
2019; 380: 191–211
View details for DOI 10.1016/j.jcp.2018.12.014
View details for Web of Science ID 000458145900009
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Sparsifying preconditioner for the time-harmonic Maxwell's equations
JOURNAL OF COMPUTATIONAL PHYSICS
2019; 376: 913–23
View details for DOI 10.1016/j.jcp.2018.10.004
View details for Web of Science ID 000450337400042
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A MULTISCALE NEURAL NETWORK BASED ON HIERARCHICAL MATRICES
MULTISCALE MODELING & SIMULATION
2019; 17 (4): 1189–1213
View details for DOI 10.1137/18M1203602
View details for Web of Science ID 000545929400005
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CONVEX RELAXATION APPROACHES FOR STRICTLY CORRELATED DENSITY FUNCTIONAL THEORY
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2019; 41 (4): B773–B795
View details for DOI 10.1137/18M1207478
View details for Web of Science ID 000483924100032
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Numerical methods for Kohn-Sham density functional theory
ACTA NUMERICA
2019; 28: 405–539
View details for DOI 10.1017/S0962492919000047
View details for Web of Science ID 000491992100004
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SWITCHNET: A NEURAL NETWORK MODEL FOR FORWARD AND INVERSE SCATTERING PROBLEMS
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2019; 41 (5): A3182–A3201
View details for DOI 10.1137/18M1222399
View details for Web of Science ID 000493897100019
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SPARSIFY AND SWEEP: AN EFFICIENT PRECONDITIONER FOR THE LIPPMANN- SCHWINGER EQUATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2018; 40 (2): B379–B404
View details for DOI 10.1137/17M1132057
View details for Web of Science ID 000431100400028
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AN ENTROPIC FOURIER METHOD FOR THE BOLTZMANN EQUATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2018; 40 (5): A2858–A2882
View details for DOI 10.1137/17M1127041
View details for Web of Science ID 000448803100003
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SCDM-k: Localized orbitals for solids via selected columns of the density matrix
JOURNAL OF COMPUTATIONAL PHYSICS
2017; 334: 1-15
View details for DOI 10.1016/j.jcp.2016.12.053
View details for Web of Science ID 000395210500001
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ADAPTIVELY COMPRESSED POLARIZABILITY OPERATOR FOR ACCELERATING LARGE SCALE AB INITIO PHONON CALCULATIONS
MULTISCALE MODELING & SIMULATION
2017; 15 (1): 29-55
View details for DOI 10.1137/16M1077325
View details for Web of Science ID 000398614800002
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COMPUTING LOCALIZED REPRESENTATIONS OF THE KOHN-SHAM SUBSPACE VIA RANDOMIZATION AND REFINEMENT
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2017; 39 (6): B1178–B1198
View details for DOI 10.1137/16M1098589
View details for Web of Science ID 000418659900007
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TENSOR NETWORK SKELETONIZATION
MULTISCALE MODELING & SIMULATION
2017; 15 (4): 1423–47
View details for DOI 10.1137/16M1082676
View details for Web of Science ID 000418691000005
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Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2016; 69 (8): 1415-1451
View details for DOI 10.1002/cpa.21582
View details for Web of Science ID 000379919000001
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Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2016; 69 (7): 1314-1353
View details for DOI 10.1002/cpa.21577
View details for Web of Science ID 000379917800003
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Sparsifying preconditioner for soliton calculations
JOURNAL OF COMPUTATIONAL PHYSICS
2016; 315: 458-466
View details for DOI 10.1016/j.jcp.2016.03.061
View details for Web of Science ID 000374832700025
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RECURSIVE SWEEPING PRECONDITIONER FOR THE THREE-DIMENSIONAL HELMHOLTZ EQUATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2016; 38 (2): A814-A832
View details for DOI 10.1137/15M1010154
View details for Web of Science ID 000375484800009
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A TECHNIQUE FOR UPDATING HIERARCHICAL SKELETONIZATION-BASED FACTORIZATIONS OF INTEGRAL OPERATORS
MULTISCALE MODELING & SIMULATION
2016; 14 (1): 42-64
View details for DOI 10.1137/15M1024500
View details for Web of Science ID 000373366500002
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ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION
MULTISCALE MODELING & SIMULATION
2016; 14 (2): 799-822
View details for DOI 10.1137/15M1017144
View details for Web of Science ID 000379356600008
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Low-rank one-step wave extrapolation for reverse time migration
GEOPHYSICS
2016; 81 (1): S39-S54
View details for DOI 10.1190/GEO2015-0183.1
View details for Web of Science ID 000377880100046
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Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
JOURNAL OF COMPUTATIONAL PHYSICS
2015; 302: 329-335
View details for DOI 10.1016/j.jcp.2015.09.014
View details for Web of Science ID 000364256100018
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Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms Application of time-frequency analysis to art investigation
IEEE SIGNAL PROCESSING MAGAZINE
2015; 32 (4): 55-63
View details for DOI 10.1109/MSP.2015.2406882
View details for Web of Science ID 000356539400009
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Compressed Representation of Kohn-Sham Orbitals via Selected Columns of the Density Matrix.
Journal of chemical theory and computation
2015; 11 (4): 1463-9
Abstract
Given a set of Kohn-Sham orbitals from an insulating system, we present a simple, robust, efficient, and highly parallelizable method to construct a set of optionally orthogonal, localized basis functions for the associated subspace. Our method explicitly uses the fact that density matrices associated with insulating systems decay exponentially along the off-diagonal direction in the real space representation. We avoid the usage of an optimization procedure, and the localized basis functions are constructed directly from a set of selected columns of the density matrix (SCDM). Consequently, the core portion of our localization procedure is not dependent on any adjustable parameters. The only adjustable parameters present pertain to the use of the SCDM after their computation (for example, at what value should the SCDM be truncated). Our method can be used in any electronic structure software package with an arbitrary basis set. We demonstrate the numerical accuracy and parallel scalability of the SCDM procedure using orbitals generated by the Quantum ESPRESSO software package. We also demonstrate a procedure for combining the orthogonalized SCDM with Hockney's algorithm to efficiently perform Hartree-Fock exchange energy calculations with near-linear scaling.
View details for DOI 10.1021/ct500985f
View details for PubMedID 26574357
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Compressed Representation of Kohn-Sham Orbitals via Selected Columns of the Density Matrix
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
2015; 11 (4): 1463-1469
View details for DOI 10.1021/ct500985f
View details for Web of Science ID 000353176500013
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A fast algorithm for 3D azimuthally anisotropic velocity scan
GEOPHYSICAL PROSPECTING
2015; 63 (2): 368-377
View details for DOI 10.1111/1365-2478.12180
View details for Web of Science ID 000349974600007
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2015; 84 (291): 271-288
View details for Web of Science ID 000351441400010
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MULTISCALE MODELING & SIMULATION
2015; 13 (3): 829-846
View details for DOI 10.1137/140985135
View details for Web of Science ID 000362421000005
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CRYSTAL IMAGE ANALYSIS USING 2D SYNCHROSQUEEZED TRANSFORMS
MULTISCALE MODELING & SIMULATION
2015; 13 (4): 1542-1572
View details for DOI 10.1137/140955872
View details for Web of Science ID 000367090400017
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SPARSIFYING PRECONDITIONER FOR THE LIPPMANN-SCHWINGER EQUATION
MULTISCALE MODELING & SIMULATION
2015; 13 (2): 644-660
View details for DOI 10.1137/140985147
View details for Web of Science ID 000357405000010
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BUTTERFLY FACTORIZATION
MULTISCALE MODELING & SIMULATION
2015; 13 (2): 714-732
View details for DOI 10.1137/15M1007173
View details for Web of Science ID 000357405000013
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FAST DIRECTIONAL COMPUTATION OF HIGH FREQUENCY BOUNDARY INTEGRALS VIA LOCAL FFTs
MULTISCALE MODELING & SIMULATION
2015; 13 (1): 423-439
View details for Web of Science ID 000352234400015
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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
MULTISCALE MODELING & SIMULATION
2015; 13 (2): 459-471
View details for DOI 10.1137/140985159
View details for Web of Science ID 000357405000001
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A MULTISCALE BUTTERFLY ALGORITHM FOR MULTIDIMENSIONAL FOURIER INTEGRAL OPERATORS
MULTISCALE MODELING & SIMULATION
2015; 13 (2): 614-631
View details for DOI 10.1137/140997658
View details for Web of Science ID 000357405000008
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SWEEPING PRECONDITIONERS FOR ELASTIC WAVE PROPAGATION WITH SPECTRAL ELEMENT METHODS
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
2014; 48 (2): 433-447
View details for DOI 10.1051/m2an/2013114
View details for Web of Science ID 000331943800007
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A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
JOURNAL OF COMPUTATIONAL PHYSICS
2014; 258: 227-245
View details for DOI 10.1016/j.jcp.2013.10.030
View details for Web of Science ID 000329118500012
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A PARALLEL BUTTERFLY ALGORITHM
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2014; 36 (1): C49-C65
View details for DOI 10.1137/130921544
View details for Web of Science ID 000333415500023
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POLE EXPANSION FOR SOLVING A TYPE OF PARAMETRIZED LINEAR SYSTEMS IN ELECTRONIC STRUCTURE CALCULATIONS
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2014; 36 (6): A2929-A2951
View details for DOI 10.1137/130944825
View details for Web of Science ID 000346838800019
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A PARALLEL DIRECTIONAL FAST MULTIPOLE METHOD
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2014; 36 (4): C335-C352
View details for DOI 10.1137/130945569
View details for Web of Science ID 000344743800038
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SYNCHROSQUEEZED CURVELET TRANSFORM FOR TWO-DIMENSIONAL MODE DECOMPOSITION
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
2014; 46 (3): 2052-2083
View details for DOI 10.1137/130939912
View details for Web of Science ID 000338830800015
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A fast butterfly algorithm for generalized Radon transforms
GEOPHYSICS
2013; 78 (4): T141-T151
View details for DOI 10.1190/GEO2012-0240.1
View details for Web of Science ID 000322716500051
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Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition
SIAM JOURNAL ON IMAGING SCIENCES
2013; 6 (4): 1979-2009
View details for DOI 10.1137/120891113
View details for Web of Science ID 000328890700006
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Wave atoms and time upscaling of wave equations
NUMERISCHE MATHEMATIK
2009; 113 (1): 1-71
View details for DOI 10.1007/s00211-009-0226-6
View details for Web of Science ID 000267108700001
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A FAST BUTTERFLY ALGORITHM FOR THE COMPUTATION OF FOURIER INTEGRAL OPERATORS
MULTISCALE MODELING & SIMULATION
2009; 7 (4): 1727-1750
View details for DOI 10.1137/080734339
View details for Web of Science ID 000270192800009
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Wave atoms and sparsity of oscillatory patterns
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
2007; 23 (3): 368-387
View details for DOI 10.1016/j.acha.2007.03.003
View details for Web of Science ID 000251353200005
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Curvelets and wave atoms for mirror-extended images
Conference on Wavelets XII
SPIE-INT SOC OPTICAL ENGINEERING. 2007
View details for DOI 10.1117/12.733257
View details for Web of Science ID 000252227400018
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Fast computation of Fourier integral operators
SIAM JOURNAL ON SCIENTIFIC COMPUTING
2007; 29 (6): 2464-2493
View details for Web of Science ID 000251175000011
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Fast discrete curvelet transforms
MULTISCALE MODELING & SIMULATION
2006; 5 (3): 861-899
View details for DOI 10.1137/05064182X
View details for Web of Science ID 000242572200007