Preprint

1. "Neumann Series-based Neural Operator for Solving Inverse Medium Problem"
   by Ziyang Liu, Fukai Chen, Junqing Chen, Lingyun Qiu, Zuoqiang Shi. [ arXiv:2409.09480 ]
2. "Interface Laplace Learning: Learnable Interface Term Helps Semi-Supervised Learning"
   by Tangjun Wang, Chenglong Bao, Zuoqiang Shi. [ arXiv:2408.05419 ]
3. "A network based approach for unbalanced optimal transport on surfaces"
   by Jiangong Pan, Wei Wan, Yuejin Zhang, Chenlong Bao and Zuoqiang Shi. [ arXiv:2407.21346 ]
4. "Anisotropic Gauss Reconstruction for Unoriented Point Clouds"
   by Yueji Ma, Dong Xiao, Zuoqiang Shi, Bin Wang. [ arXiv:2405.17193 ]
5. "Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces"
   by Guozhi Dong, Hailong Guo, Chengrun Jiang and Zuoqiang Shi. [ arXiv:2406.16285 ]
6. "Convection-Diffusion Equation: A Theoretically Certified Framework for Neural Networks"
   by Tangjun Wang, Chenglong Bao, Zuoqiang Shi. [ arXiv:2403.15726 ]
7. "Reconstruction of dynamical systems from data without time labels"
   by Z Zeng, P Hu, C Bao, Y Zhu, Z Shi. [ arXiv:2312.04038 ]
8. "Generalization Error Curves for Analytic Spectral Algorithms under Power-law Decay"
   by Y Li, W Gan, Z Shi, Q Lin. [ arXiv:2401.01599 ]
9. "Neural Born series operator for biomedical ultrasound computed Tomography"
   by Z Zeng, Y Zheng, Y Zheng, Y Li, Z Shi, H Sun. [ arXiv:2312.15575 ]
10. "Winding Clearness for Differentiable Point Cloud Optimization"
    by D Xiao, Y Ma, Z Shi, S Xin, W Wang, B Deng, B Wang. [ arXiv:2401.13639 ]
11. "Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition"
    by Yanzun Meng, Zuoqiang Shi. [ arXiv:2310.01221 ]
12. "Semi-Supervised Clustering via Dynamic Graph Structure Learning"
    by Huaming Ling, Chenglong Bao, Xin Liang, Zuoqiang Shi. [ arXiv:2209.02513 ]
13. "A non-local gradient based approach of infinity Laplacian with Gamma-convergence"
    by Weiye Gan, Xintong Liu, Yicheng Li and Zuoqiang Shi. [ arXiv:2202.04927 ]
14. "Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud"
    by Guozhi Dong, Hailong Guo and Zuoqiang Shi. [ arXiv:2012.15433 ]

Publications

1. "Γ-convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data"
   by Weiye Gan, Qiang Du, Zuoqiang Shi, accepted by SIAM Journal on Mathematical Analysis, 2024. [ arXiv:2309.10352 ]
2. "CryoTRANS: Predicting High-resolution Maps of Rare Conformations from Self-supervised Trajectories in Cryo-EM"
   by Xiao Fan, Qi Zhang, Hui Zhang, Jianying Zhu, Lili Ju, Zuoqiang Shi, Mingxu Hu and Chenglong Bao, Communications Biology, Vol. 7, Article number: 1058, 2024.
3. "Fast and Globally Consistent Normal Orientation based on the Winding Number Normal Consistency"
   by Siyou Lin, Zuoqiang Shi, Yebin Liu, accepted by SIGGRAPH Asia 2024 [ arXiv:2405.16634 ]
4. "Flipping-based Iterative Surface Reconstruction for Unoriented Points"
   by Yueji Ma, Yanzun Meng, Dong Xiao, Zuoqiang Shi, Bin Wang, Computer Aided Geometric Design, Vol. 111, 102315, 2024.
5. "Truncation Error Analysis for an Accurate Nonlocal Manifold Poisson Model with Dirichlet Boundary"
   by Yajie Zhang and Zuoqiang Shi, Commun. Math. Sci., Vol. 22, No. 7, pp. 2011-2040, 2024. [ arXiv:2203.02120 ]
6. "A Nonlocal diffusion model with H1 convergence for Dirichlet Boundary"
   by Tangjun Wang and Zuoqiang Shi, Commun. Math. Sci., Vol. 22, No. 7, pp. 1863-1896, 2024. [ arXiv:2302.03441 ]
7. "NSNO: Neumann Series Neural Operator for Solving Helmholtz Equations in Inhomogeneous Medium"
   by Chen, Fukai, Liu, Ziyang, Lin, Guochang, Chen, Junqing, Shi, Zuoqiang, Journal of Systems Science & Complexity, vol. 37, pp. 413–440, 2024.
8. "A minority of final stacks yields superior amplitude in single-particle cryo-EM"
   by J Zhu, Q Zhang, H Zhang, Z Shi, M Hu, C Bao, Nature Communications Vol. 14, 7822, 2023.
9. "A Second-Order Nonlocal Approximation for Manifold Poisson Model with Dirichlet Boundary"
   by Yajie Zhang and Zuoqiang Shi, Research in the Mathematical Sciences Vol. 10, No. 3, 36, 2023. [ arXiv:2101.01016 ]
10. "Non-line-of-sight imaging with arbitrary illumination and detection pattern"
    by Xing Fu, Xintong Liu, Jianyu Wang, Leping Xiao, Zuoqiang Shi and Lingyun Qiu, Nature Communications, Vol. 14, 3230, 2023. [ arXiv:2211.00648 ]
11. "Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation"
    by D Xiao, Z Shi, S Li, B Deng, B Wang, Computer Aided Geometric Design, Vol. 103, 102195, 2023.
12. "Diffusion Mechanism in Neural Network: Theory and Applications"
    by Tangjun Wang, Zehao Dou, Chenglong Bao and Zuoqiang Shi, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 46, no. 2, pp. 667-680, 2024.
    [ arXiv:2105.03155 ]
13. "Alternately denoising and reconstructing unoriented point sets"
    by Dong Xiao, Zuoqiang Shi, Bin Wang, Computers & Graphics, Vol. 116, pp. 139-149, 2023.
14. "A Scalable Deep Learning Approach for Solving High-dimensional Dynamic Optimal Transport"
    by Wei Wan, Yuejin Zhang, Chenglong Bao, Bin Dong, Zuoqiang Shi, SIAM Journal on Scientific Computing, Vol. 45, No. 4, pp. B544-B563, 2023. [ arXiv:2205.07521 ]
15. "Few-shot Non-line-of-sight Imaging with Signal-surface Collaborative Regularization"
    by Xintong Liu, Jianyu Wang, Leping Xiao, Xing Fu, Lingyun Qiu and Zuoqiang Shi, CVPR, 2023. [ arXiv:2211.15367 ]
16. "Non-line-of-sight Imaging with Signal Superresolution Network"
    by Jianyu Wang, Xintong Liu, Leping Xiao, Zuoqiang Shi, Lingyun Qiu and Xing Fu, CVPR, 2023.
17. "Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method"
    by Xufeng Xiao, Xinlong Feng and Zuoqiang Shi, Computers & Mathematics with Applications, Vol. 136, pp. 54-70, 2023.
18. "BI-GreenNet: Learning Green's functions by boundary integral network"
    by Guochang Lin, Fukai Chen, Pipi Hu, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi, Commun. Math. Stat. Vol. 11 No. 3, pp. 103–129, 2023. [ arXiv:2204.13247 ]
19. "BINet: Learning to Solve Partial Differential Equations with Boundary Integral Networks"
    by Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang and Zuoqiang Shi, CSIAM Transactions on Applied Mathematics, Vol. 4, No. 2, pp. 275-305, 2023. [ arXiv:2110.00352 ]
20. "Surface Reconstruction from Point Clouds without Normals by Parametrizing the Gauss Formula"
    by Siyou Lin, Dong Xiao, Zuoqiang Shi, Bin Wang, ACM Transaction on Graphics, Vol. 42, No. 2, pp. 1-19, 2023.
    
    Patent: 用于无法向点云数据重建网格曲面的方法、设备和介质，史作强，林思有，王斌，ZL 2022 1 0012495.4
    
21. "A Nonlocal Stokes system with volume constraints"
    by Qiang Du and Zuoqiang Shi, Numerical Mathematics: Theory, Methods and Applications, Vol. 15, pp 903-937, 2022. [ arXiv:2203.14491 ]
    
22. "Unsupervised Deep Learning Meets Chan-Vese Model"
    by Dihan Zheng, Chenglong Bao, Zuoqiang Shi, Haibin Ling, Kaisheng Ma, CSIAM Transactions on Applied Mathematics, Vol. 3, pp. 662-691, 2022.
    [ arXiv:2204.06951 ]
    
23. "Fast non-line-of-sight imaging based on first photon event stamping"
    by Zhupeng Li, Xintong Liu, Jianyu Wang, Zuoqiang Shi, Lingyun Qiu and Xing Fu, Optics Letters, Vol. 47, No. 8, pp. 1928-1931, 2022.
    
24. "Learning modified indicator functions for surface reconstruction"
    by Dong Xiao, Siyou Lin, Zuoqiang Shi and Bin Wang, Computers & Graphics, Vol. 102, pp. 309-319, 2022.
    
25. "Non-line-of-sight Reconstruction with Signal-object Collaborative Regularization"
    by Xing Fu, Xintong Liu, Jianyu Wang, Zhupeng Li, Zuoqiang Shi, and Lingyun Qiu, Light: Science & Applications, Vol. 10, 198, 2021.
    
26. "MAGIC: Manifold and Graph Integrative Convolutional Network for Low-Dose CT Reconstruction"
    by Wenjun Xia, Zexin Lu, Yongqiang Huang, Zuoqiang Shi, Yan Liu, Hu Chen, Yang Chen, Jiliu Zhou and Yi Zhang, IEEE Transactions on Medical Imaging, Vol.40, No. 12, pp. 3459-3472, 2021.
    
27. "Convergence of the weighted nonlocal Laplacian on random point cloud"
    by Zuoqiang Shi, Bao Wang, Journal of Computational Mathematics, Vol. 39, No. 6, pp. 865-879, 2021.
    
28. "A Nonlocal Model of Elliptic Equation with Jump Coefficients on Manifold"
    by Yajie Zhang and Zuoqiang Shi, Commun. Math. Sci., Vol. 19, No. 7, pp. 1881-1912，2021.
    
29. "An Unsupervised Deep Learning Approach for Real-World Image Denoising"
    by D. Zheng, S. Tan, X. Zhang, Z. Shi, K. Ma, C. Bao, ICLR，2021.
    
30. "CURE: Curvature Regularization For Missing Data Recovery"
    by B. Dong, H. Ju, Y. Lu and Z. Shi, SIAM Journal on Imaging Sciences, Vol. 13, No. 4, pp. 2169–2188，2020.
    
31. "Convergence of Laplacian spectra from random samples"
    by Wenqi Tao, Zuoqiang Shi, Journal of Computational Mathematics, Vol. 38, No. 6, pp. 952-984, 2020.
    
32. "task-oriented feature distillation"
    by L. Zhang, Y. Shi, Z. Shi, K. Ma, C. Bao, NeurIPS, 2020.
    
33. "EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond"
    by B. Wang, B. Yuan, Z. Shi and S. Osher, SIAM Journal on Mathematics of Data Science, Vol. 2, No. 3, pp. 559-582, 2020.
    
34. "Interpolation between Residual and Non-Residual Networks"
    by Z. Yang, Y. Liu, C. Bao and Z. Shi, ICML, 2020.
    
35. "Auxiliary Training: Towards Accurate and Robust Models"
    by L. Zhang, M. Yu, T. Chen, Z. Shi, C. Bao, K. Ma, CVPR, 2020.
    
36. "Low dimensional manifold model in hyperspectral image reconstruction"
    by Wei Zhu, Zuoqiang Shi and Stanley Osher, Advances in Computer Vision and Pattern Recognition, pp.295-317, 2020.
    
37. "ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies"
    by B. Wang, Z. Shi and S. Osher, NeurIPS, 2019.
    
38. "Group-sparsity-based super-resolution dipole orientation mapping"
    by L. Chen, Y. Hu, M. Wang, M. Zhang, Z. Shi, P. Xi and J. Gao, IEEE Transactions on Medical Imaging, Vol. 38, No. 11, pp. 2687-2694, 2019.
    
39. "Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold"
    by Zuoqiang Shi, Commun. Math. Sci. Vol. 17, No. 3, pp. 859-882, 2019.
    [ .pdf ]
40. "Weighted Nonlocal Total Variation in Image Processing"
    by Haohan Li, Zuoqiang Shi and Xiaoping Wang, Methods and Applications of Analysis, 26(3): 235-248, 2019.
    [ arXiv ]
41. "Point integral method for elliptic equations with variable coefficients on point clouds"
    by Z. Li, Z. Shi and J. Sun, Communications in Computational Physics, Vol. 26, No. 2, pp. 506-530, 2019.
    [ .pdf ]
42. "Deep Neural Networks with Interpolating Function as Output Activation"
    by B. Wang, X. Luo, Z. Li, W. Zhu, Z. Shi and S. Osher, NeurIPS, 2018.
    [ arXiv ]
43. "Surface Reconstruction Based on Modified Gauss Formula"
    by W. Lu, Z. Shi, B. Wang and J. Sun, ACM Transactions on Graphics,Vol. 38, No. 1, pp. 1-18, 2018.
    [ .pdf ]
44. "Scalable low dimensional manifold model in the reconstruction of noisy and incomplete hyperspectral images"
    by W. Zhu, Z. Shi and S. Osher, 9th IEEE Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), 2018.
    [ .pdf ]
45. "Harmonic extension on the point cloud"
    by Z. Shi, J. Sun and M. Tian, SIAM: Multiscale Modeling & Simulation, Vol. 16, No. 1, pp. 215-247, 2018.
    [ .pdf ]
46. "Sparse Time-Frequency decomposition for multiple signals with same frequencies"
    by T. Y. Hou and Z. Shi, Advances in Data Science and Adaptive Analysis, Vol. 9, 1750010, 2017. https://doi.org/10.1142/S2424922X175001032017
    [ .pdf ]
47. "Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model"
    by Z. Shi, S. Osher and W. Zhu, Journal of Scientific Computing, Vol. 75, No. 2, pp 638-656, 2018.
    [ .pdf ]
48. "A Harmonic Extension Approach for Collaborative Ranking"
    by D. Kuang, Z. Shi, S. Osher and A. Bertozzi, International Symposium on Nonlinear Theory & Its Applications (NOLTA) , 2017 [ .pdf ]
49. "Compressive sensing of wireless sensors based on group sparse optimization for structural health monitoring"
    by Y. Bao, Z. Shi, X. Wang and H. Li, Structural Control and Health Monitoring, https://doi.org/10.1177/1475921717721457, 2017.
    
50. "Noise attenuation in a low dimensional manifold"
    by S. Yu, J. Ma, S. Osher and Z. Shi. Geophysics, Vol. 82, No. 5, pp. V321-V334, 2017.
    
51. "Low dimensional manifold model for image processing"
    by S. Osher, Z. Shi and W. Zhu. SIAM Journal on Imaging Sciences, Vol. 10, No. 4, pp. 1669-1690, 2017.
    [ .pdf ]
52. "Convergence of the Point Integral method for Poisson equation on point cloud"
    by Z. Shi and J. Sun, Research in the Mathematical Sciences, Vol. 4, No. 1, 2017.
    [.pdf]
53. "A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data"
    by C. Liu, Z. Shi and T. Y. Hou, Science China Mathematics, Vol. 60, No. 10, pp. 1733-1752, 2017.
    [ .pdf]
54. "Enforce the Dirichlet boundary condition by volume constraint in Point Integral method"
    by Zuoqiang Shi, Commun. Math. Sci., Vol. 15, No. 6, pp. 1743-1769, 2017.
    [ .pdf]
55. "Weighted Nonlocal Laplacian on Interpolation from Sparse Data"
    by Z. Shi, S. Osher and W. Zhu, Journal of Scientific Computing, Vol. 73, No. 2, pp. 1164-1177, 2017.
    [ .pdf ]
56. "Point Integral Method for Solving Poisson-type Equations on Manifolds from Point Clouds with Convergence Guarantees"
    by Z. Li, Z. Shi and J. Sun, Communications in Computational Physics, Vol. 22, No. 1, pp. 228-258, 2017.
    [.pdf ]
57. "Identification of time-varying cable tension forces based on adaptive sparse time-frequency analysis of cable vibrations"
    by Y. Bao, Z. Shi, J. L. Beck, H. Li and T. Y. Hou, Structural Control and Health Monitoring , doi:10.1002/stc.1889, 2016.
    [ .pdf ]
58. "A convergent point integral method for isotropic elliptic equations on point cloud"
    by Z. Li and Z. Shi, SIAM: Multiscale Modeling & Simulation , Vol. 14(2), pp. 874-905, 2016.
    [ .pdf ]
59. "Sparse Time-Frequency decomposition by dictionary adaptation"
    by Thomas Y. Hou and Zuoqiang Shi, Philosophical Transactions A , 374:20150192, http://dx.doi.org/10.1098/rsta.2015.0192, 2016.
    [ .pdf ]
60. "Extracting a shape function for a signal with intrawave frequency modulation"
    by T. Y. Hou and Z. Shi, Philosophical Transactions A , 374:20150194, http://dx.doi.org/10.1098/rsta.2015.0194, 2016.
    [ .pdf ]
61. "On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data"
    by Chunguang Liu, Zuoqiang Shi and Thomas Y. Hou, SIAM: Multiscale Modeling & Simulation, Vol. 13(3), pp. 790-811, 2015.
    [ .pdf ]
62. "Extraction of Intrawave Signals Using Sparse Time-Frequency Representation Method"
    by P. Tavallali, T. Y. Hou and Z. Shi, SIAM: Multiscale Modeling & Simulation, Vol. 12(4), pp. 1458-1493, 2014.
    [ .pdf]
63. "Sparse Time Frequency Representations and Dynamical Systems"
    by T. Y. Hou, Z. Shi and P. Tavallali, Commun. Math. Sci., Vol. 13(3), pp. 673-694, 2015.
    [ .pdf]
64. "Convergence of a Data-Driven Time-Frequency Analysis Method"
    by T. Y. Hou, Z. Shi and P. Tavallali, Appl. Comput. Harmon. Anal., Vol. 37(2), pp. 235-270, 2014.
    [ .pdf ]
65. "Sparse time-frequency representation of nonlinear and nonstationary data"
    by Thomas Y. Hou and Zuoqiang Shi, Science China Mathematics, Vol. 56(12), pp. 2489-2506, 2013.
    [ .pdf ]
66. "A Multiscale Model Reduction Method for Partial Differential Equations"
    by M. Ci, T. Y. Hou and Z. Shi, ESAIM:Mathematical Modelling and Numerical Analysis, Vol. 48, pp. 449-474, 2014.
    [ .pdf ]
67. "Data-Driven Time-Frequency Analysis"
    by Thomas Y. Hou and Zuoqiang Shi, Appl. Comput. Harmon. Anal., Vol. 35(2), pp. 284-308, 2013.
    [ .pdf ]
68. "A Decadal Microwave Record of Tropical Air Temperature from AMSU-A/Aqua Observations"
    by Y. Shi, K. F. Li, Y. L. Yung, H. H. Aumann, Z. Shi, and T. Y. Hou, Climate Dynamics, Vol. 41(5-6) , pp. 1385-1405, 2013.
    [ .pdf ]
69. "Dynamic Growth Estimates of Maximum Vorticity for 3D Incompressible Euler Equations and the SQG Model "
    by Thomas Y. Hou and Zuoqiang Shi, Discrete and Continuous Dynamical Systems - A, Vol. 32(5), pp. 1449-1463, 2012.
    [ .pdf ]
70. "On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations"
    by T. Y. Hou, Z. Shi, and S. Wang, Advances in Mathematics,, Vol. 230, pp. 607-641, 2012.
    [.pdf ]
71. "Adaptive Data Analysis via Sparse Time-Frequency Representation"
    by Thomas Y. Hou and Zuoqiang Shi, Advances in Adaptive Data Analysis, Vol 3(1&2), pp. 1-28, 2011.
    [ .pdf ]
72. "On Singularity Formation of a Nonlinear Nonlocal System"
    by T. Y. Hou, C. Li, Z. Shi, S. Wang, and X. Yu, Archive for Rational Mechanics and Analysis,, Vol. 199, pp. 117-144, 2011.
    [.pdf ]
73. "An Efficient Semi-Implicit Immersed Boundary Method for the Navier-Stokes Equations"
    by T. Y. Hou and Z. Shi, J. Comput. Phys.,, Vol. 227, pp. 8968-8991, 2008.
    [.pdf ]
74. "Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations"
    by T. Y. Hou and Z. Shi, J. Comput. Phys.,, Vol. 227, pp. 9138-9169, 2008.
    [.pdf ]
75. "Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media"
    by Z. Shi, J. Wang, Z. Chen and J. Yang, Phys. Rev. A,, Vol. 78:063812, 2008.
    [.pdf ]
76. "Solitary waves bifurcated from Bloch-band edges in two- dimensional periodic media"
    by Zuoqiang Shi and Jianke Yang, Phys. Rev. E,, Vol. 75:056602, 2007.
    [pdf]

Unpublished Notes

1. "Error analysis of finite element method for nonlocal diffusion model"
   by Zuoqiang Shi. [ arXiv:2408.16243 ]
2. "On the implementation of linear finite element method for nonlocal diffusion model over 2D domain"
   by Zuoqiang Shi. [ arXiv:2408.15472 ]
3. "Nonlocal Stokes equation with relaxation on the divergence free equation"
   by Yajie Zhang, Qiang Du and Zuoqiang Shi. [ arXiv:2403.07712 ]
4. "Impulsive Noise and Gaussian-Impulsive Mixed Noise Removal by Low Dimensional Manifold Model"
   by Yifan Chen, Banghua Zhu and Zuoqiang Shi. [ .pdf ]
5. "Deep Residual Learning and PDEs on Manifold"
   by Zhen Li and Zuoqiang Shi.
   [ .pdf | mathscidoc: 1708.19001 ]

Copyright and all rights of the materials presented above are retained by authors or by other copyright holders.