Lexing Ying

All Publications

• Meta-learning pseudo-differential operators with deep neural networks JOURNAL OF COMPUTATIONAL PHYSICS Feliu-Faba, J., Fan, Y., Ying, L. 2020; 408

  View details for DOI 10.1016/j.jcp.2020.109309

  View details for Web of Science ID 000521731200026

• Solving electrical impedance tomography with deep learning JOURNAL OF COMPUTATIONAL PHYSICS Fan, Y., Ying, L. 2020; 404

  View details for DOI 10.1016/j.jcp.2019.109119

  View details for Web of Science ID 000507854200027

• Hessian transport gradient flows RESEARCH IN THE MATHEMATICAL SCIENCES Li, W., Ying, L. 2019; 6 (4)

  View details for DOI 10.1007/s40687-019-0198-9

  View details for Web of Science ID 000509100300001

• BCR-Net: A neural network based on the nonstandard wavelet form JOURNAL OF COMPUTATIONAL PHYSICS Fan, Y., Bohorquez, C., Ying, L. 2019; 384: 1–15

  View details for DOI 10.1016/j.jcp.2019.02.002

  View details for Web of Science ID 000460888400001

• A multiscale neural network based on hierarchical nested bases RESEARCH IN THE MATHEMATICAL SCIENCES Fan, Y., Feliu-Faba, J., Lin, L., Ying, L., Zepeda-Nunez, L. 2019; 6 (2)

  View details for DOI 10.1007/s40687-019-0183-3

  View details for Web of Science ID 000464654500001

• Simple, direct and efficient multi-way spectral clustering INFORMATION AND INFERENCE-A JOURNAL OF THE IMA Damle, A., Minden, V., Ying, L. 2019; 8 (1): 181–203

  View details for DOI 10.1093/imaiai/iay008

  View details for Web of Science ID 000469774500006

• Fast algorithms for integral formulations of steady-state radiative transfer equation JOURNAL OF COMPUTATIONAL PHYSICS Fan, Y., An, J., Ying, L. 2019; 380: 191–211

  View details for DOI 10.1016/j.jcp.2018.12.014

  View details for Web of Science ID 000458145900009

• CONVEX RELAXATION APPROACHES FOR STRICTLY CORRELATED DENSITY FUNCTIONAL THEORY SIAM JOURNAL ON SCIENTIFIC COMPUTING Khoo, Y., Ying, L. 2019; 41 (4): B773–B795

  View details for DOI 10.1137/18M1207478

  View details for Web of Science ID 000483924100032

• Numerical methods for Kohn-Sham density functional theory ACTA NUMERICA Lin, L., Lu, J., Ying, L. 2019; 28: 405–539

  View details for DOI 10.1017/S0962492919000047

  View details for Web of Science ID 000491992100004

• SWITCHNET: A NEURAL NETWORK MODEL FOR FORWARD AND INVERSE SCATTERING PROBLEMS SIAM JOURNAL ON SCIENTIFIC COMPUTING Khoo, Y., Ying, L. 2019; 41 (5): A3182–A3201

  View details for DOI 10.1137/18M1222399

  View details for Web of Science ID 000493897100019

• Sparsifying preconditioner for the time-harmonic Maxwell's equations JOURNAL OF COMPUTATIONAL PHYSICS Liu, F., Ying, L. 2019; 376: 913–23

  View details for DOI 10.1016/j.jcp.2018.10.004

  View details for Web of Science ID 000450337400042

• SPARSIFY AND SWEEP: AN EFFICIENT PRECONDITIONER FOR THE LIPPMANN- SCHWINGER EQUATION SIAM JOURNAL ON SCIENTIFIC COMPUTING Liu, F., Ying, L. 2018; 40 (2): B379–B404

  View details for DOI 10.1137/17M1132057

  View details for Web of Science ID 000431100400028

• AN ENTROPIC FOURIER METHOD FOR THE BOLTZMANN EQUATION SIAM JOURNAL ON SCIENTIFIC COMPUTING Cai, Z., Fan, Y., Ying, L. 2018; 40 (5): A2858–A2882

  View details for DOI 10.1137/17M1127041

  View details for Web of Science ID 000448803100003

• SCDM-k: Localized orbitals for solids via selected columns of the density matrix JOURNAL OF COMPUTATIONAL PHYSICS Damle, A., Lin, L., Ying, L. 2017; 334: 1-15

  View details for DOI 10.1016/j.jcp.2016.12.053

  View details for Web of Science ID 000395210500001

• ADAPTIVELY COMPRESSED POLARIZABILITY OPERATOR FOR ACCELERATING LARGE SCALE AB INITIO PHONON CALCULATIONS MULTISCALE MODELING & SIMULATION Lin, L., Xu, Z., Ying, L. 2017; 15 (1): 29-55

  View details for DOI 10.1137/16M1077325

  View details for Web of Science ID 000398614800002

• COMPUTING LOCALIZED REPRESENTATIONS OF THE KOHN-SHAM SUBSPACE VIA RANDOMIZATION AND REFINEMENT SIAM JOURNAL ON SCIENTIFIC COMPUTING Damle, A., Lin, L., Ying, L. 2017; 39 (6): B1178–B1198

  View details for DOI 10.1137/16M1098589

  View details for Web of Science ID 000418659900007

• TENSOR NETWORK SKELETONIZATION MULTISCALE MODELING & SIMULATION Ying, L. 2017; 15 (4): 1423–47

  View details for DOI 10.1137/16M1082676

  View details for Web of Science ID 000418691000005

• Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS Ho, K. L., Ying, L. 2016; 69 (8): 1415-1451

  View details for DOI 10.1002/cpa.21582

  View details for Web of Science ID 000379919000001

• Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS Ho, K. L., Ying, L. 2016; 69 (7): 1314-1353

  View details for DOI 10.1002/cpa.21577

  View details for Web of Science ID 000379917800003

• Sparsifying preconditioner for soliton calculations JOURNAL OF COMPUTATIONAL PHYSICS Lu, J., Ying, L. 2016; 315: 458-466

  View details for DOI 10.1016/j.jcp.2016.03.061

  View details for Web of Science ID 000374832700025

• RECURSIVE SWEEPING PRECONDITIONER FOR THE THREE-DIMENSIONAL HELMHOLTZ EQUATION SIAM JOURNAL ON SCIENTIFIC COMPUTING Liu, F., Ying, L. 2016; 38 (2): A814-A832

  View details for DOI 10.1137/15M1010154

  View details for Web of Science ID 000375484800009

• A TECHNIQUE FOR UPDATING HIERARCHICAL SKELETONIZATION-BASED FACTORIZATIONS OF INTEGRAL OPERATORS MULTISCALE MODELING & SIMULATION Minden, V., Damle, A., Ho, K. L., Ying, L. 2016; 14 (1): 42-64

  View details for DOI 10.1137/15M1024500

  View details for Web of Science ID 000373366500002

• ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION MULTISCALE MODELING & SIMULATION Liu, F., Ying, L. 2016; 14 (2): 799-822

  View details for DOI 10.1137/15M1017144

  View details for Web of Science ID 000379356600008

• Low-rank one-step wave extrapolation for reverse time migration GEOPHYSICS Sun, J., Fomel, S., Ying, L. 2016; 81 (1): S39-S54

  View details for DOI 10.1190/GEO2015-0183.1

  View details for Web of Science ID 000377880100046

• Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost JOURNAL OF COMPUTATIONAL PHYSICS Lu, J., Ying, L. 2015; 302: 329-335

  View details for DOI 10.1016/j.jcp.2015.09.014

  View details for Web of Science ID 000364256100018

• Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms Application of time-frequency analysis to art investigation IEEE SIGNAL PROCESSING MAGAZINE Yang, H., Lu, J., Brown, W. P., Daubechies, I., Ying, L. 2015; 32 (4): 55-63

  View details for DOI 10.1109/MSP.2015.2406882

  View details for Web of Science ID 000356539400009

• Compressed Representation of Kohn-Sham Orbitals via Selected Columns of the Density Matrix. Journal of chemical theory and computation Damle, A., Lin, L., Ying, L. 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

• Compressed Representation of Kohn-Sham Orbitals via Selected Columns of the Density Matrix JOURNAL OF CHEMICAL THEORY AND COMPUTATION Damle, A., Lin, L., Ying, L. 2015; 11 (4): 1463-1469

  View details for DOI 10.1021/ct500985f

  View details for Web of Science ID 000353176500013

• A fast algorithm for 3D azimuthally anisotropic velocity scan GEOPHYSICAL PROSPECTING Hu, J., Fomel, S., Ying, L. 2015; 63 (2): 368-377

  View details for DOI 10.1111/1365-2478.12180

  View details for Web of Science ID 000349974600007

• A FAST ALGORITHM FOR THE ENERGY SPACE BOSON BOLTZMANN COLLISION OPERATOR MATHEMATICS OF COMPUTATION Hu, J., Ying, L. 2015; 84 (291): 271-288

  View details for Web of Science ID 000351441400010

• DIRECTIONAL PRECONDITIONER FOR 2D HIGH FREQUENCY OBSTACLE SCATTERING MULTISCALE MODELING & SIMULATION Ying, L. 2015; 13 (3): 829-846

  View details for DOI 10.1137/140985135

  View details for Web of Science ID 000362421000005

• CRYSTAL IMAGE ANALYSIS USING 2D SYNCHROSQUEEZED TRANSFORMS MULTISCALE MODELING & SIMULATION Yang, H., Lu, J., Ying, L. 2015; 13 (4): 1542-1572

  View details for DOI 10.1137/140955872

  View details for Web of Science ID 000367090400017

• SPARSIFYING PRECONDITIONER FOR THE LIPPMANN-SCHWINGER EQUATION MULTISCALE MODELING & SIMULATION Ying, L. 2015; 13 (2): 644-660

  View details for DOI 10.1137/140985147

  View details for Web of Science ID 000357405000010

• BUTTERFLY FACTORIZATION MULTISCALE MODELING & SIMULATION Li, Y., Yang, H., Martin, E. R., Ho, K. L., Ying, L. 2015; 13 (2): 714-732

  View details for DOI 10.1137/15M1007173

  View details for Web of Science ID 000357405000013

• FAST DIRECTIONAL COMPUTATION OF HIGH FREQUENCY BOUNDARY INTEGRALS VIA LOCAL FFTs MULTISCALE MODELING & SIMULATION Ying, L. 2015; 13 (1): 423-439

  View details for Web of Science ID 000352234400015

• SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES MULTISCALE MODELING & SIMULATION Ying, L. 2015; 13 (2): 459-471

  View details for DOI 10.1137/140985159

  View details for Web of Science ID 000357405000001

• A MULTISCALE BUTTERFLY ALGORITHM FOR MULTIDIMENSIONAL FOURIER INTEGRAL OPERATORS MULTISCALE MODELING & SIMULATION Li, Y., Yang, H., Ying, L. 2015; 13 (2): 614-631

  View details for DOI 10.1137/140997658

  View details for Web of Science ID 000357405000008

• SWEEPING PRECONDITIONERS FOR ELASTIC WAVE PROPAGATION WITH SPECTRAL ELEMENT METHODS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE Tsuji, P., Poulson, J., Engquist, B., Ying, L. 2014; 48 (2): 433-447

  View details for DOI 10.1051/m2an/2013114

  View details for Web of Science ID 000331943800007

• A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices JOURNAL OF COMPUTATIONAL PHYSICS Schmitz, P. G., Ying, L. 2014; 258: 227-245

  View details for DOI 10.1016/j.jcp.2013.10.030

  View details for Web of Science ID 000329118500012

• A PARALLEL BUTTERFLY ALGORITHM SIAM JOURNAL ON SCIENTIFIC COMPUTING Poulson, J., Demanet, L., Maxwell, N., Ying, L. 2014; 36 (1): C49-C65

  View details for DOI 10.1137/130921544

  View details for Web of Science ID 000333415500023

• POLE EXPANSION FOR SOLVING A TYPE OF PARAMETRIZED LINEAR SYSTEMS IN ELECTRONIC STRUCTURE CALCULATIONS SIAM JOURNAL ON SCIENTIFIC COMPUTING Damle, A., Lin, L., Ying, L. 2014; 36 (6): A2929-A2951

  View details for DOI 10.1137/130944825

  View details for Web of Science ID 000346838800019

• A PARALLEL DIRECTIONAL FAST MULTIPOLE METHOD SIAM JOURNAL ON SCIENTIFIC COMPUTING Benson, A. R., Poulson, J., Tran, K., Engquist, B., Ying, L. 2014; 36 (4): C335-C352

  View details for DOI 10.1137/130945569

  View details for Web of Science ID 000344743800038

• SYNCHROSQUEEZED CURVELET TRANSFORM FOR TWO-DIMENSIONAL MODE DECOMPOSITION SIAM JOURNAL ON MATHEMATICAL ANALYSIS Yang, H., Ying, L. 2014; 46 (3): 2052-2083

  View details for DOI 10.1137/130939912

  View details for Web of Science ID 000338830800015

• A fast butterfly algorithm for generalized Radon transforms GEOPHYSICS Hu, J., Fomel, S., Demanet, L., Ying, L. 2013; 78 (4): T141-T151

  View details for DOI 10.1190/GEO2012-0240.1

  View details for Web of Science ID 000322716500051

• Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition SIAM JOURNAL ON IMAGING SCIENCES Yang, H., Ying, L. 2013; 6 (4): 1979-2009

  View details for DOI 10.1137/120891113

  View details for Web of Science ID 000328890700006

• Wave atoms and time upscaling of wave equations NUMERISCHE MATHEMATIK Demanet, L., Ying, L. 2009; 113 (1): 1-71

  View details for DOI 10.1007/s00211-009-0226-6

  View details for Web of Science ID 000267108700001

• A FAST BUTTERFLY ALGORITHM FOR THE COMPUTATION OF FOURIER INTEGRAL OPERATORS MULTISCALE MODELING & SIMULATION Candes, E., Demanet, L., Ying, L. 2009; 7 (4): 1727-1750

  View details for DOI 10.1137/080734339

  View details for Web of Science ID 000270192800009

• Wave atoms and sparsity of oscillatory patterns APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS Demanet, L., Ying, L. 2007; 23 (3): 368-387

  View details for DOI 10.1016/j.acha.2007.03.003

  View details for Web of Science ID 000251353200005

• Curvelets and wave atoms for mirror-extended images Conference on Wavelets XII Demanet, L., Ying, L. SPIE-INT SOC OPTICAL ENGINEERING. 2007

  View details for DOI 10.1117/12.733257

  View details for Web of Science ID 000252227400018

• Fast computation of Fourier integral operators SIAM JOURNAL ON SCIENTIFIC COMPUTING Candes, E., Demanet, L., Ying, L. 2007; 29 (6): 2464-2493

  View details for Web of Science ID 000251175000011

• Fast discrete curvelet transforms MULTISCALE MODELING & SIMULATION Candes, E., Demanet, L., Donoho, D., Ying, L. 2006; 5 (3): 861-899

  View details for DOI 10.1137/05064182X

  View details for Web of Science ID 000242572200007