BIMSA > Zuoqiang Shi
Professor Zuoqiang Shi

Affiliation: YMSC, BIMSA

Group: Computational Mathematics

Office: A3-4-310

Email: zqshi@bimsa.cn

Research Field: Numerical Methods for Partial Differential Equations, Image Processing

Biography

Zuoqiang Shi is a tenured professor at Yau Mathematical Sciences Center, Tsinghua University and a part-time researcher at BIMSA. His main research interests lie in numerical methods for partial differential equations, differential equation models in image processing and machine learning, and time-frequency analysis of nonlinear non-stationary signals. He has published over 50 articles in internationally renowned academic journals such as ACHA, the SIAM series, Advances in Mathematics, and ARMA.

Education Experience

  • 2006 - 2008      Caltech, United States      Applied & Computational Mathematics      Special doctoral student
  • 2003 - 2008      Zhou Pei-yuan Center for Applied Mathematics, Tsinghua University      Applied Mathematics      Doctor
  • 1999 - 2003      Tsinghua University      Mathematics      Bachelor

Work Experience

  • 2022 -      BIMSA      Professor
  • 2022 -      YMSC      Professor
  • 2019 - 2022      Department of Mathematical Sciences, Tsinghua University      Associate Professor
  • 2011 - 2019      YMSC      Associate Professor
  • 2008 - 2011      Caltech      Postdoctoral Scholar in Applied & Computational Mathematics

Publication

  • [1] Tangjun Wang, Chenglong Bao, Zuoqiang Shi, Convection-Diffusion Equation: a Theoretically Certified Framework for Neural Networks, IEEE Transactions on Pattern Analysis and Machine Intelligence (2025)
  • [2] C Bao, D Zheng, Q Wu, N Yan, Z Shi, M Hu, H Peng, Q Hu, Z Yan, Y Peng, CryoPROS: Correcting Misalignment Caused by Preferred Orientation Using AI-generated Auxiliary Particles, (2024)
  • [3] W Wan, J Pan, Y Zhang, C Bao, Z Shi, A Neural Network Framework for High-Dimensional Dynamic Unbalanced Optimal Transport, arXiv preprint arXiv:2409.13188 (2024)
  • [4] Tangjun Wang, Zehao Dou, Chenglong Bao, Zuoqiang Shi, Diffusion Mechanism in Neural Network: Theory and Applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, 46(2), 667-680 (2024)
  • [5] Xiao Fan, Qi Zhang, Hui Zhang, Jianying Zhu, Lili Ju, Zuoqiang Shi, Mingxu Hu and Chenglong Bao, CryoTRANS: predicting high-resolution maps of rare conformations from self-supervised trajectories in cryo-EM, Communications Biology, 7(1), 1058 (2024)
  • [6] Huaming Ling, Chenglong Bao, Jiebo Song, Zuoqiang Shi, Fast and Scalable Semi-Supervised Learning for Multi-View Subspace Clustering, arXiv preprint arXiv:2408.05707 (2024)
  • [7] T Wang, C Bao, Z Shi, Interface Laplace Learning: Learnable Interface Term Helps Semi-Supervised Learning, arXiv preprint arXiv:2408.05419 (2024)
  • [8] Guozhi Dong, Hailong Guo and Zuoqiang Shi, Discontinuous Galerkin methods for the Laplace-Beltrami operator on point clouds (2024)
  • [9] Zhijun Zeng, Yihang Zheng, Youjia Zheng, Yubing Li, Zuoqiang Shi, He Sun, Neural Born series operator for biomedical ultrasound computed Tomography(2024)
  • [10] Yicheng Li, Weiye Gan, Zuoqiang Shi, Qian Lin, Generalization Error Curves for Analytic Spectral Algorithms under Power-law Decay, arXiv:2401.01599 (2024)
  • [11] Guozhi Dong, Hailong Guo, Chengrun Jiang, Zuoqiang Shi, Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces(2024)
  • [12] Fukai Chen, Ziyang Liu, Guochang Lin, Junqing Chen, and Zuoqiang Shi, NSNO: Neumann Series Neural Operator for Solving Helmholtz Equations in Inhomogeneous Medium, Journal of Systems Science and Complexity, 37(2024), 2, 413-440
  • [13] Tangjun Wang, Zuoqiang Shi, A Nonlocal diffusion model with H1 convergence for Dirichlet Boundary, Communications in Mathematical Sciences(2024)
  • [14] Zuoqiang Shi, Nonlocal diffusion model with maximum principle(2024)
  • [15] Yueji Ma, Yanzun Meng, Dong Xiao, Zuoqiang Shi, Bin Wang, Flipping-based Iterative Surface Reconstruction for Unoriented Points, COMPUTER AIDED GEOMETRIC DESIGN, 111(102315) (2024)
  • [16] Weiye Gan, Qiang Du, Zuoqiang Shi, Γ-convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data, accepted by SIAM Journal on Mathematical Analysis (2024)
  • [17] Dong Xiao, Yueji Ma, Zuoqiang Shi, Shiqing Xin, Wenping Wang, Bailin Deng, Bin Wang, Winding Clearness for Differentiable Point Cloud Optimization, arXiv:2401.13639 (2024)
  • [18] Weiye Gan, Xintong Liu, Yicheng Li, Zuoqiang Shi, A non-local gradient based approach of infinity Laplacian with Gamma-convergence(2024)
  • [19] Mengjia Cai, Jianying Zhu, Qi Zhang, Yu Xu, Zuoqiang Shi, Chenglong Bao, Mingxu Hu, Enhancing Density Maps by Removing the Majority of Particles in Single Particle Cryogenic Electron Microscopy Final Stacks, Journal of Visualized Experiments (JoVE), 207(207), e66617 (2024)
  • [20] Xiao Fan, Qi Zhang, Mingxu Hu, Hui Zhang, Jianying Zhu, Zuoqiang Shi, and Chenglong Bao, CryoTRANS: Quality Preserved Trajectory for Boosting Resolutions of Rare Conformations in cryo-EM, Preprint(2024)
  • [21] Tangjun Wang, Zehao Dou, Chenglong Bao, and Zuoqiang Shi, Diffusion Mechanism in Residual Neural Network: Theory and Applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, 46(2024), 2, 667-680
  • [22] Siyou Lin, Zuoqiang Shi, Yebin Liu, Fast and Globally Consistent Normal Orientation based on the Winding Number Normal Consistency, accepted by SIGGRAPH Asia 2024 (2024)
  • [23] Ziyang Liu, Fukai Chen, Junqing Chen, Lingyun Qiu, Zuoqiang Shi, Neumann Series-based Neural Operator for Solving Inverse Medium Problem (2024)
  • [24] Jiangong Pan, Wei Wan, Yuejin Zhang, Chenlong Bao and Zuoqiang Shi, A network based approach for unbalanced optimal transport on surfaces (2024)
  • [25] Jianying Zhu, Qi Zhang, Hui Zhang, Zuoqiang Shi, Mingxu Hu, Chenglong Bao, A minority of final stacks yields superior amplitude in single-particle cryo-EM, Nature Communications, 7822(2023), 14
  • [26] Zhijun Zeng, Pipi Hu, Chenglong Bao, Yi Zhu, Zuoqiang Shi, Reconstruction of dynamical systems from data without time labels, arXiv preprint arXiv:2312.04038 (2023)
  • [27] Dong Xiao, Zuoqiang Shi, Bin Wang, Alternately denoising and reconstructing unoriented point sets, Computers & Graphics, 116(2023), 139-149
  • [28] Hui Zhang, Dihan Zheng, Qiurong Wu, Nieng Yan, Zuoqiang Shi, Mingxu Hu, and Chenglong Bao, Addressing Preferred Orientation in Single-Particle cryo-EM through AI-generated Auxiliary Particles(2023)
  • [29] Wei Wan, Yuejin Zhang, Chenglong Bao, Bin Dong, and Zuoqiang Shi, A scalable deep learning approach for solving high-dimensional dynamic optimal transport, SIAM Journal on Scientific Computing, 45(4), B544-B563 (2023)
  • [30] T Wang, W Tao, C Bao, Z Shi, An axiomatized PDE model of deep neural networks, arXiv preprint arXiv:2307.12333 (2023)
  • [31] Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi, BINet: Learning to Solve Partial Differential Equations with Boundary Integral Networks, CSIAM Transactions on Applied Mathematics(2023)
  • [32] Siyou Lin, Dong Xiao, Zuoqiang Shi, Bin Wang, Surface Reconstruction from Point Clouds without Normals by Parametrizing the Gauss Formula, ACM Transaction on Graphics(2023)
  • [33] Dong Xiao, Zuoqiang Shi, Siyu Lia, Bailin Deng, Bin Wang, Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation, COMPUTER AIDED GEOMETRIC DESIGN(2023)
  • [34] Yajie Zhang, Zuoqiang Shi, A Second-Order Nonlocal Approximation for Manifold Poisson Model with Dirichlet Boundary, Research in the Mathematical Sciences(2023)
  • [35] Xufeng Xiao, Xinlong Feng and Zuoqiang Shi, Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method, COMPUTERS & MATHEMATICS WITH APPLICATIONS(2023)
  • [36] Guochang Lin, Fukai Chen, Pipi Hu, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi, BI-GreenNet: Learning Green's functions by boundary integral network, Communications in Mathematics and Statistics, 11(2023), 1, 103-129
  • [37] Jianyu Wang, Xintong Liu, Leping Xiao, Zuoqiang Shi, Lingyun Qiu, and Xing Fu, Non-line-of-sight Imaging with Signal Superresolution Network, Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition(2023)
  • [38] Xintong Liu, Jianyu Wang, Leping Xiao, Xing Fu, Lingyun Qiu, Zuoqiang Shi, Few-shot Non-line-of-sight Imaging with Signal-surface Collaborative Regularization, Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition(2023)
  • [39] Xintong Liu, Xing Fu, Jianyu Wang, Leping Xiao, Zuoqiang Shi and Lingyun Qiu, Non-line-of-sight imaging with arbitrary illumination and detection pattern, Nature Communications, 14(1), p.3230(2023)
  • [40] Dihan Zheng, Chenglong Bao, Zuoqiang Shi, Haibin Ling, and Kaisheng Ma, Unsupervised Deep Learning Meets Chan-Vese Model, CSIAM Transactions on Applied Mathematics, 3(2022), 4, 662-691
  • [41] Yajie Zhang, Zuoqiang Shi, Truncation Error Analysis for an Accurate Nonlocal Manifold Poisson Model with Dirichlet Boundary, Communications In Mathematical Sciences(2022)
  • [42] Qiang Du, Zuoqiang Shi, A Nonlocal Stokes system with volume constraints, accepted by Numerical Mathematics: Theory, Methods and Applications(2022)
  • [43] Dong Xiao, Siyou Lin, Zuoqiang Shi, Bin Wang, Learning modified indicator functions for surface reconstruction, Computers & Graphics, 102(2022), 309-319
  • [44] Huaming Ling, Chenglong Bao, Xin Liang, Zuoqiang Shi, Semi-Supervised Clustering via Dynamic Graph Structure Learning, arXiv:2209.02513(2022)
  • [45] Lingyun Qiu, Single-pixel imaging of a randomly moving object, Optics Express, 30(22)(2022), 40389-40400
  • [46] Lingyun Qiu, Fast non-line-of-sight imaging based on first photon event stamping, Optics Letters, 47(8)(2022), 198-1931
  • [47] Zuoqiang Shi, Bao Wang, Convergence of the weighted nonlocal Laplacian on random point cloud, Journal of Computational Mathematics, 39(2021), 6, 865
  • [48] Wenjun Xia, Zexin Lu, Yongqiang Huang, Zuoqiang Shi, Yan Liu, Hu Chen, Yang Chen, Jiliu Zhou, Yi Zhang, MAGIC: Manifold and Graph Integrative Convolutional Network for Low-Dose CT Reconstruction, IEEE Transactions on Medical Imaging(2021)
  • [49] Yajie Zhang and Zuoqiang Shi, A Nonlocal Model of Elliptic Equation with Jump Coefficients on Manifold, Communications in Mathematical Sciences(2021)
  • [50] Xintong Liu, Jianyu Wang, Zhupeng Li, Zuoqiang Shi, Xing Fu, Lingyun Qiu, Non-line-of-sight Reconstruction with Signal-object Collaborative Regularization, Light-Sci. Appl., 10(1), -, 2021(2021)
  • [51] Zonghan Yang, Yang Liu, Chenglong Bao, and Zuoqiang Shi, Interpolation between residual and non-residual networks, , 119, 10736-10745 (2020)
  • [52] Wei Zhu, Zuoqiang Shi, Stanley Osher, Low dimensional manifold model in hyperspectral image reconstruction, Advances in Computer Vision and Pattern Recognition(2020), 295-317
  • [53] Bin Dong, Haocheng Ju, Yiping Lu, Zuoqiang Shi, CURE: Curvature Regularization For Missing Data Recovery, SIAM Journal on Imaging Sciences, 13(2020), 4, 2169-2188
  • [54] Bao Wang, Binjie Yuan, Zuoqiang Shi, Stanley Osher, EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond, SIAM Journal on Mathematics of Data Science, 2(2020), 3, 559-582
  • [55] Wenqi Tao, Zuoqiang Shi, Convergence of Laplacian spectra from random samples, Journal of Computational Mathematics, 38(2020), 6, 952-984
  • [56] Linfeng Zhang, Muzhou Yu, Tong Chen, Zuoqiang Shi, Chenglong Bao, and Kaisheng Ma, Auxiliary training: Towards accurate and robust models, , 372-381 (2020)
  • [57] Linfeng Zhang, Yukang Shi, Zuoqiang Shi, Kaisheng Ma, and Chenglong Bao, Task-Oriented Feature Distillation, Advances in Neural Information Processing Systems, 33(2020), 14759-14771
  • [58] Dihan Zheng, Sia Huat Tan, Xiaowen Zhang, Zuoqiang Shi, Kaisheng Ma, and Chenglong Bao, An unsupervised deep learning approach for real-world image denoising, (2020)
  • [59] Zuoqiang Shi, Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold, Communications in Mathematical Sciences(2019)
  • [60] Haohan Li, Zuoqiang Shi, Xiaoping Wang, Weighted Nonlocal Total Variation in Image Processing, Methods and Applications of Analysis(2019)
  • [61] Long Chen, Miaoyan Wang, Xu Zhang, Michael Zhang, Yucheng Hu, Zuoqiang Shi, Peng Xi, Juntao Gao, Group-sparsity-based super-resolution dipole orientation mapping, IEEE Transactions on Medical Imaging(2019)
  • [62] Bao Wang, Binjie Yuan, Zuoqiang Shi, and Stanley Osher, ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies, Advances in Neural Information Processing Systems, 32(2019)
  • [63] Wei Zhu, Zuoqiang Shi, Stanley Osher, Scalable low dimensional manifold model in the reconstruction of noisy and incomplete hyperspectral images, 9th IEEE Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS)(2018)
  • [64] Bao Wang, Xiyang Luo, Zhen Li, Wei Zhu, Zuoqiang Shi, Stanley Osher, Deep Neural Networks with Interpolating Function as Output Activation, Neural Information Processing Systems(2018)
  • [65] Zuoqiang Shi, Stanley Osher, Wei Zhu, Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model, JOURNAL OF SCIENTIFIC COMPUTING(2018)
  • [66] Wenjia Lu , Zuoqiang Shi , Jian Sun, Bin Wang, Surface Reconstruction Based on Modified Gauss Formula, ACM Transactions on Graphics(2018)
  • [67] Zuoqiang Shi, Jian Sun, Minghao Tian, Harmonic extension on the point cloud, MULTISCALE MODELING & SIMULATION(2018)
  • [68] Bao Wang, Xiyang Luo, Zhen Li, Wei Zhu, Zuoqiang Shi, Stanley Osher, Deep neural nets with interpolating function as output activation, Advances in neural information processing systems, 31 (2018)
  • [69] Siwei Yu, Stanley Osher, Jianwei Ma, Zuoqiang Shi, Noise attenuation in a low dimensional manifold, GEOPHYSICS(2017)
  • [70] Zhen Li and Zuoqiang Shi, A flow model of neural networks, arXiv preprint arXiv:1708.06257 (2017)
  • [71] Zhen LI, Zuoqiang SHI, Deep residual learning and pdes on manifold, arXiv preprint arXiv:1708.05115 (2017)
  • [72] Zhen LI, Zuoqiang SHI, Compute Quasi-Conformal Map on Point Cloud by Point Integral Method, (2017)
  • [73] Da Kuang, Zuoqiang Shi, Stanley Osher, Andrea Bertozzi, A Harmonic Extension Approach for Collaborative Ranking, International Symposium on Nonlinear Theory & Its Applications (2017)
  • [74] Chunguang Liu, Zuoqiang Shi, Thomas Y. Hou, A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data, Science China-Mathematics(2017)
  • [75] Thomas Y. Hou, Zuoqiang Shi, Sparse Time-Frequency decomposition for multiple signals with same frequencies, Advances in Data Science and Adaptive Analysis(2017)
  • [76] Zhen Li, Zuoqiang Shi, Jian Sun, Point integral method for solving poisson-type equations on manifolds from point clouds with convergence guarantees, Communications in Computational Physics, 22(1), 228-258 (2017)
  • [77] Yuequan Bao, Zuoqiang Shi, XiaoyuWang, Hui Li, Compressive sensing of wireless sensors based on group sparse optimization for structural health monitoring, Structural Control and Health Monitoring(2017)
  • [78] Zuoqiang Shi, Jian Sun, Convergence of the Point Integral method for Poisson equation on point cloud, Research in the Mathematical Sciences(2017)
  • [79] Zuoqiang Shi, Stanley Osher, Wei Zhu, Weighted Nonlocal Laplacian on Interpolation from Sparse Data, JOURNAL OF SCIENTIFIC COMPUTING(2017)
  • [80] Zuoqiang Shi, Enforce the Dirichlet boundary condition by volume constraint in Point Integral method, Communications in Mathematical Sciences(2017)
  • [81] Stanley Osher, Zuoqiang Shi, Wei Zhu, Low dimensional manifold model for image processing, SIAM Journal on Imaging Sciences(2017)
  • [82] Zhen Li, Zuoqiang Shi, A convergent point integral method for isotropic elliptic equations on point cloud, MULTISCALE MODELING & SIMULATION(2016)
  • [83] Yuequan Bao, Zuoqiang Shi, James L. Beck, Hui Li, Thomas Y. Hou, Identification of time-varying cable tension forces based on adaptive sparse time-frequency analysis of cable vibrations, Structural Control and Health Monitoring(2016)
  • [84] Thomas Y. Hou, Zuoqiang Shi, Sparse Time-Frequency decomposition by dictionary adaptation, Philosophical Transactions A (2016)
  • [85] Zhen Li, Zuoqiang Shi, Jian Sun, A convergent point integral method for isotropic elliptic equations on a point cloud, Multiscale Modeling & Simulation, 14(2), 874-905 (2016)
  • [86] Chunguang Liu, Zuoqiang Shi and Thomas Y. Hou, On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data, SIAM: Multiscale Modeling & Simulation(2015)
  • [87] Thomas Y. Hou, Zuoqiang Shi, Extracting a shape function for a signal with intrawave frequency modulation, Philosophical Transactions A(2015)
  • [88] Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali, Sparse Time Frequency Representations and Dynamical Systems, Communications in Mathematical Sciences(2015)
  • [89] Peyman Tavallali, Thomas Y. Hou, Zuoqiang Shi, Extraction of Intrawave Signals Using Sparse Time-Frequency Representation Method, SIAM: Multiscale Modeling & Simulation(2014)
  • [90] Maolin Ci, Thomas Y. Hou, Zuoqiang Shi, A Multiscale Model Reduction Method for Partial Differential Equations, ESAIM-Mathematical Modelling and Numerical Analysis(2014)
  • [91] Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali, Convergence of a Data-Driven Time-Frequency Analysis Method, APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS(2014)
  • [92] Yuan Shi, King-Fai Li, Yuk L. Yung, Hartmut H. Aumann, Zuoqiang Shi, Thomas Y. Hou, A Decadal Microwave Record of Tropical Air Temperature from AMSU-A/Aqua Observations, Climate Dynamics(2013)
  • [93] Thomas Y. Hou, Zuoqiang Shi, Data-Driven Time-Frequency Analysis, APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS(2013)
  • [94] Thomas Y. Hou, Zuoqiang Shi, Sparse time-frequency representation of nonlinear and nonstationary data, Science China-Mathematics(2013)
  • [95] Thomas Y. Hou and Zuoqiang Shi, Dynamic Growth Estimates of Maximum Vorticity for 3D Incompressible Euler Equations and the SQG Model, Discrete and Continuous Dynamical Systems - A(2012)
  • [96] Thomas Y. Hou, Zuoqiang Shi, Shu Wang, On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations, ADVANCES IN MATHEMATICS(2012)
  • [97] Thomas Y. Hou, Congming Li, Zuoqiang Shi,Shu Wang, Xinwei Yu, On Singularity Formation of a Nonlinear Nonlocal System, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS(2011)
  • [98] Thomas Y. Hou, Zuoqiang Shi, Adaptive Data Analysis via Sparse Time-Frequency Representation, Advances in Data Science and Adaptive Analysis(2011)
  • [99] Zuoqiang Shi, Jiandong Wang, Zhigang Chen, Jianke Yang, Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media, PHYSICAL REVIEW A(2008)
  • [100] Thomas Y. Hou, Zuoqiang Shi, Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations, JOURNAL OF COMPUTATIONAL PHYSICS(2008)
  • [101] Thomas Y. Hou, Zuoqiang Shi, An Efficient Semi-Implicit Immersed Boundary Method for the Navier-Stokes Equations, JOURNAL OF COMPUTATIONAL PHYSICS(2008)
  • [102] Zuoqiang Shi, Jianke Yang, Solitary waves bifurcated from Bloch-band edges in two- dimensional periodic media, PHYSICAL REVIEW E(2007)
  • [103] W Tao, H Ling, Z Shi, B Wang, Deep learning with data privacy via residual perturbation, arXiv preprint arXiv:2408.05723 (2024)
  • [104] W Gan, Q Du, Z Shi, -Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data, SIAM Journal on Mathematical Analysis, 56(6), 7439-7462 (2024)
  • [105] J Pan, W Wan, C Bao, Z Shi, Solving Unbalanced Optimal Transport on Point Cloud by Tangent Radial Basis Function Method, arXiv preprint arXiv:2412.14746 (2024)
  • [106] Y Meng, Z Shi, A seamless local-nonlocal coupling diffusion model with vanishing nonlocality convergence, arXiv preprint arXiv:2412.03153 (2024)
  • [107] L Xiao, J Wang, Y Wang, Z Zhan, Z Shi, L Qiu, X Fu, Fast Non-line-of-sight Imaging with Hybrid Super-resolution Network over 18 m, IEEE Transactions on Computational Imaging (2024)
  • [108] Z Shi, Error analysis of finite element method for nonlocal diffusion model, arXiv preprint arXiv:2408.16243 (2024)
  • [109] Z Shi, On the implementation of linear finite element method for nonlocal diffusion model over 2D domain, arXiv preprint arXiv:2408.15472 (2024)
  • [110] Z Shi, Error analysis of conformal finite element method for nonlocal diffusion model, arXiv e-prints, arXiv: 2408.16243 (2024)
  • [111] Y Zhang, Y Meng, Z Shi, A Second-Order Nonlocal Approximation to Manifold Poisson Models with Neumann Boundary, arXiv preprint arXiv:2403.05888 (2024)
  • [112] G Lin, F Chen, P Hu, X Chen, J Chen, J Wang, Z Shi, Bi-greennet: learning green’s functions by boundary integral network, Communications in Mathematics and Statistics, 11(1), 103-129 (2023)
  • [113] Y Zhang, Z Shi, A second-order nonlocal approximation for Poisson model with Dirichlet boundary, Research in the Mathematical Sciences, 10(3) (2023)
  • [114] T Wang, Z Shi, A Nonlocal diffusion model with$H^1$convergence for Dirichlet Boundary, arXiv preprint arXiv:2302.03441 (2023)
  • [115] Y Meng, Z Shi, Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition, arXiv preprint arXiv:2310.01221 (2023)
  • [116] J Zhu, Q Zhang, H Zhang, Z Shi, M Hu, C Bao, Not final yet: a minority of final stacks yields superior amplitude in single-particle cryo-EM (2023)
  • [117] W Song, M Zhang, JG Wallwork, J Gao, Z Tian, F Sun, M Piggott, J Chen et al., M2N: Mesh movement networks for PDE solvers, Advances in Neural Information Processing Systems, 35, 7199-7210 (2022)
  • [118] W Gan, X Liu, Y Li, Z Shi, A non-local gradient based approach of infinity Laplacian with$\Gamma$-convergence, arXiv preprint arXiv:2202.04927 (2022)
  • [119] X Liu, J Wang, Z Li, Z Shi, X Fu, L Qiu, Non-line-of-sight reconstruction with signal–object collaborative regularization, Science & Applications, 10(1) (2021)
  • [120] T Sun, H Ling, Z Shi, D Li, B Wang, Training deep neural networks with adaptive momentum inspired by the quadratic optimization, arXiv preprint arXiv:2110.09057 (2021)
  • [121] F Zhao, X Chen, J Wang, Z Shi, SL Huang, Performance-Guaranteed ODE Solvers with Complexity-Informed Neural Networks, Deep Learning and Differential Equations (2021)
  • [122] T Wang, Z Dou, C Bao, Z Shi, Diff-ResNets for Few-shot Learning–an ODE Perspective, CoRR (2021)
  • [123] B Wang, B Yuan, Z Shi, SJ Osher, EnResNet: ResNets Ensemble via the Feynman--Kac Formalism for Adversarial Defense and Beyond, SIAM Journal on Mathematics of Data Science, 2(3), 559-582 (2020)
  • [124] B Wang, AT Lin, W Zhu, P Yin, AL Bertozzi, SJ Osher, Adversarial defense via data dependent activation function and total variation minimization, arXiv preprint arXiv:1809.08516 (2018)
  • [125] W Lu, Z Shi, J Sun, B Wang, Surface reconstruction based on the modified Gauss formula, ACM Transactions on Graphics, 38(1), 1-18 (2018)
  • [126] B Wang, B Yuan, Z Shi, SJ Osher, Enresnet: Resnet ensemble via the feynman-kac formalism, arXiv preprint arXiv:1811.10745 (2018)
  • [127] Z Shi, B Wang, SJ Osher, Error estimation of weighted nonlocal Laplacian on random point cloud, arXiv preprint arXiv:1809.08622 (2018)
  • [128] B Wang, X Luo, Z Li, W Zhu, Z Shi, SJ Osher, Deep learning with data dependent implicit activation function, CoRR (2018)
  • [129] B Wang, X Luo, Z Li, W Zhu, Z Shi, S Osher, Deep neural networks with data dependent implicit activation function, preparation (2018)
  • [130] Y Bao, Z Shi, JL Beck, H Li, TY Hou, Identification of time‐varying cable tension forces based on adaptive sparse time‐frequency analysis of cable vibrations, Structural Control and Health Monitoring, 24(3) (2017)
  • [131] Z Shi, J Sun, Convergence of the point integral method for Laplace–Beltrami equation on point cloud, Research in the Mathematical Sciences, 4, 1-39 (2017)
  • [132] S Yu, S Osher, J Ma, Z Shi, Noise attenuation in a low-dimensional manifold, Geophysics, 82(5), V321-V334 (2017)
  • [133] TY Hou, Z Shi, Extracting a shape function for a signal with intra-wave frequency modulation, Philosophical Transactions of the Royal Society A: Mathematical, Physical … (2016)
  • [134] TY Hou, Z Shi, Sparse time-frequency decomposition based on dictionary adaptation, Philosophical Transactions of the Royal Society A: Mathematical, Physical … (2016)
  • [135] Z Shi, S Osher, W Zhu, Weighted graph laplacian and image inpainting, Journal of Scientific Computing, 577 (2016)
  • [136] Z Shi, S Osher, W Zhu, Low dimensional manifold model with semi-local patches, UCLA CAM, 16-63 (2016)
  • [137] Y Bao, X Wang, Z Shi, H Li, Group Sparse Optimization Based-compressive Sensing of Vibration Data Using Wireless Sensors for Structural Health Monitoring.”, World Structures Congress (2016)
  • [138] Z Shi, J Sun, M Tian, Harmonic extension, arXiv preprint arXiv:1509.06458 (2015)
  • [139] Z Shi, J Sun, Convergence of laplacian spectra from point clouds, arXiv preprint arXiv:1506.01788 (2015)
  • [140] Z Shi, J Sun, On the convergence of laplacian spectra in point integral method from point cloud, arXiv preprint arXiv:1506.01788 (2015)
  • [141] Z Shi, J Sun, On the Convergence Rate of Laplacian spectra from Point Clouds (2015)
  • [142] TY Hou, Z Shi, P Tavallali, Convergence of a data-driven time–frequency analysis method, Applied and Computational Harmonic Analysis, 37(2), 235-270 (2014)
  • [143] P Tavallali, TY Hou, Z Shi, Extraction of intrawave signals using the sparse time-frequency representation method, Multiscale Modeling & Simulation, 12(4), 1458-1493 (2014)
  • [144] Z Shi, J Sun, Convergence of the point integral method for the poisson equation on manifolds i: the neumann boundary, arXiv preprint arXiv:1403.2141 (2014)
  • [145] M Ci, TY Hou, Z Shi, A Multiscale Model Reduction Method for Partial DifferentialEquations, ESAIM: Mathematical Modelling and Numerical Analysis, 48(2), 449-474 (2014)
  • [146] Z Shi, J Sun, Convergence of the laplace-beltrami operator from point clouds, arXiv preprint arXiv:1403.2141 (2014)
  • [147] TY Hou, Z Shi, Data-driven time–frequency analysis, Applied and Computational Harmonic Analysis, 35(2), 284-308 (2013)
  • [148] Z Shi, J Sun, Convergence of the point integral method for the poisson equation on manifolds ii: the dirichlet boundary, arXiv preprint arXiv:1312.4424 (2013)
  • [149] Z Shi, J Sun, Convergence of the point integral method for the poisson equation with dirichlet boundary on point cloud, arXiv preprint arXiv:1312.4424 (2013)
  • [150] TY Hou, Z Shi, Sparse time-frequency decomposition by adaptive basis pursuit, arXiv preprint arXiv:1311.1163 (2013)
  • [151] TY Hou, Z Shi, Sparse Time-Frequency decomposition by dictionary learning, arXiv preprint arXiv:1311.1163 (2013)
  • [152] Z Shi, J Sun, Z Li, Convergence of Finite Integral Method for Poisson Equation and Corresponding Eigenproblems, arXiv preprint arXiv:1312.4424 (2013)
  • [153] Y Shi, KF Li, YL Yung, HH Aumann, Z Shi, TY Hou, Principal modes of variability in the tropics from 9-year AMSU data, Clim. Dyn, 41 (2013)
  • [154] TY Hou, Z Shi, S Wang, On singularity formation of a 3D model for incompressible Navier–Stokes equations, Advances in Mathematics, 230(2), 607-641 (2012)
  • [155] Z Shi, S Wang, Navier-Stokes Equations, Foundations of Computational Mathematics, 403 (2012)
  • [156] TY Hou, Z Shi, S Wang, On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity, arXiv preprint arXiv:1107.1823 (2011)
  • [157] TY Hou, Z Shi, Dynamic Growth Estimates of Maximum Vorticity for 3D Incompressible Euler Equations and the SQG Model (56838), 通识教育中心 (2010)
  • [158] TY Hou, Z Shi, S Wang, On singularity formation of a 3D model for incompressible Navier-Stokes equations, preprint (2009)
  • [159] TY Hou, Z Shi, An efficient semi-implicit immersed boundary method for the Navier–Stokes equations, Journal of Computational Physics, 227(20), 8968-8991 (2008)
  • [160] Z Shi, J Yang, Solitary waves bifurcated from Bloch-band edges in two-dimensional periodic media, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 75(5) (2007)
  • [161] J Wang, Z Shi, J Yang, X Wang, C Lou, Z Chen, Gap solitons and defect modes in two-dimensional photonic lattices, Nonlinear Photonics (2007)
  • [162] Z Shi, J Yang, C Lou, Z Chen, New gap solitons in two-dimensional photonic lattices, Conference on Lasers and Electro-Optics (2007)
  • [163] Z SHI, J YANG, NEW SOLITARY WAVE STRUCTURES IN TWO-DIMENSIONAL PERIODIC MEDIA, Frontiers Of Applied Mathematics, 211-226 (2007)
  • [164] J Yang, Z Shi, Z Shi, A New Conflict-Eliminate Method for an Intelligent Restaurant-Guide Hypermedia System, CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY, 29, 207-212 (1999)
  • [165] Yajie Zhang, Qiang Du, Zuoqiang Shi, Nonlocal Stokes equation with relaxation on the divergence free equation
  • [166] Yueji Ma, Dong Xiao, Zuoqiang Shi, Bin Wang, Anisotropic Gauss Reconstruction for Unoriented Point Clouds, submitted to arXiv:2405
  • [167] W Gan, X Liu, Y Li, Z Shi, On Γ-Convergence of a Class of Non-Local Infinity Laplacian Models
  • [168] W Tao, Z Shi, A framework of deep neural networks via the solution operator of partial differential equations
  • [169] Y Shi, KF Li, YL Yung, HH Aumann, Z Shi, TY Hou, Temperature Variability and Trend in the Tropics from 9-Year AMSU Data 2
  • [170] G Lin, F Chen, P Hu, X Chen, J Chen, J Wang, Z Shi, A neural network framework for learning Green's function
  • [171] Z Yang, Y Liu, C Bao, Z Shi, Layer-wise Adversarial Defense: An ODE Perspective
  • [172] Y Shi, KF Li, YL Yung, HH Aumann, Z Shi, TY Hou, A Decadal Microwave Record of Tropical Air

 

Update Time: 2025-08-14 17:00:06