Research Areas

Numerical methods for PDEs on point cloud.

PDE methods for image processing and data analysis.

Sparse Time-Frequency representation of nonlinear and nonstationary data.

Modeling and simulation of the interface problem.


Educational Background

Sep. 2003 - Jul 2008: Ph.D in Applied Mathematics, Zhou Pei-yuan Center for Applied Mathematics, Tsinghua University, Beijing, China.

Nov. 2006 - Feb. 2008: Special doctoral student in Applied & Computational Mathematics, Caltech, United States.

Sep. 1999 - Jul 2003: B.S. in Mathematics, Department of Mathematical Science, Tsinghua University, Beijing, China.


Work Experience

Jun. 2022 - Professor, Yau Mathematical Sciences Center, Tsinghua University.

Aug. 2019 - May 2022 Associate professor, Department of Mathematical Sciences, Tsinghua University.

Sep. 2011 - Jul. 2019: Associate professor, Yau Mathematical Sciences Center, Tsinghua University.

Sep. 2008 - Sep. 2011 : Postdoctoral Scholar in Applied & Computational Mathematics, Caltech.

                 

Publications

1. Liu Xintong&, Wang Jianyu, Li Zhupeng, Shi Zuoqiang, Fu Xing*, Qiu Lingyun*, Non-line-of-sight reconstruction with signal-object collaborative regularization, Light, science & applications, Vol. 10, No. 1, 2021, pp 198

2. Yajie Zhang, Zuoqiang Shi*, A Nonlocal Model of Elliptic Equation with Jump Coefficients on Manifold, Communication in Mathematical Sciences, 2021, Vol. 19, No. 7, pp. 1881-1912

3. Bin Dong, Haocheng Ju, Yiping Lu, Zuoqiang Shi*, CURE: Curvature Regularization For Missing Data Recovery, SIAM Journal on Imaging Sciences, 2020, Vol. 13, No. 4, pp. 2169–2188

4. Wenqi Tao&, Zuoqiang Shi*, Convergence of Laplacian spectra from random samples, Journal of Computational Mathematics, 2020 Vol. 38, No. 6, pp. 952-984

5. 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, 2020, Vol. 2, No. 3, pp. 559-582

6. 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, Vol. 38, No. 11, pp. 2687-2694

7. Zuoqiang Shi*, Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold, Communication Mathematical Science, 2019, Vol. 17, No. 3, pp. 859-882

8. Haohan Li, Zuoqiang Shi,  Xiaoping Wang*, Weighted Nonlocal Total Variation in Image Processing, Methods and Applications of Analysis, 2019, Vol. 26, No. 3, pp. 235-248

9. Zhen Li&, Zuoqiang Shi*, Jian Sun, Point integral method for elliptic equations with variable coefficients on point clouds, Communications in Computational Physics, 2019, Vol. 26, No. 2, pp. 506-530

10. Wenjia Lu, Zuoqiang Shi, Jian Sun, Bin Wang*, Surface Reconstruction Based on Modified Gauss Formula, Transactions on Graphics, 2018, Vol. 38, No. 1, pp. 1-18

11. Zuoqiang Shi*, Jian Sun and Minghao Tian&, Harmonic extension on the point cloud, SIAM: Multiscale Modeling & Simulation, 2018, Vol. 16, No. 1, pp. 215-247

12. Thomas Y. Hou, Zuoqiang Shi*, Sparse Time-Frequency decomposition for multiple signals with same frequencies, Advances in Data Science and Adaptive Analysis, 2017, Vol. 9, 1750010

13. Zuoqiang Shi*, Stanley Osher, Wei Zhu, Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model, Journal of Scientific Computing, 2018, Vol. 75, No. 2, pp 638-656

14. Yuequan Bao,  Zuoqiang Shi, Xiaoyu Wang and Hui Li*, Compressive sensing of wireless sensors based on group sparse optimization for structural health monitoring, Structural Health Monitoring, 2017, Vol. 17 No. 4, pp. 823-836

15. Siwei Yu, Jianwei Ma, Stanley Osher, Zuoqiang Shi, Noise attenuation in a low dimensional manifold, Geophysics, 2017, Vol. 82, No. 5, pp. V321-V334

16. Stanley Osher, Zuoqiang Shi*, Wei Zhu, Low dimensional manifold model for image processing, SIAM Journal on Imaging Sciences, 2017, Vol. 10, No. 4, pp. 1669-1690

17. Zuoqiang Shi*, Jian Sun, Convergence of the Point Integral method for Poisson equation on point cloud, Research in the Mathematical Sciences, 2017, Vol. 4, 22

18. Chunguang Liu*, Zuoqiang Shi, Thomas Y. Hou, A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data, Science China Mathematics, 2017, Vol. 60, No. 10, pp. 1733-1752

19. Zuoqiang Shi, Enforce the Dirichlet boundary condition by volume constraint in Point Integral method, Communication in Mathematical Sciences, 2017, Vol. 15, No. 6, pp. 1743-1769

20. Zuoqiang Shi*, Stanley Osher, Wei Zhu, Weighted Nonlocal Laplacian on Interpolation from Sparse Data, Journal of Scientific Computing, 2017, Vol. 73, No. 2, pp. 1164-1177

21. 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, 2017, Vol. 22, No. 1, pp. 228-258

22. 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, 2017, Vol. 24, No. 3, e1889. doi: 10.1002/stc.1889

23. Zhen Li&, Zuoqiang Shi*, A convergent point integral method for isotropic elliptic equations on point cloud, SIAM: Multiscale Modeling & Simulation, 2016, Vol. 14, No. 2, pp. 874-905

24. Thomas Y. Hou, Zuoqiang Shi*, Sparse Time-Frequency decomposition by dictionary adaptation, Philosophical Transactions A, 2016, Vol. 374, No. 2065, 20150192

25. Thomas Y. Hou, Zuoqiang Shi*, Extracting a shape function for a signal with intrawave frequency modulation, Philosophical Transactions A, 2016, Vol. 374, No. 2065, 20150194

26. Chunguang Liu, Zuoqiang Shi Thomas Y. Hou, On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data, SIAM: Multiscale Modeling & Simulation, 2015, Vol. 13, No. 3, pp. 790-811

27. Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali, Sparse Time Frequency Representations and Dynamical Systems, Communication in Mathematical Sciences, 2015, Vol. 13, No. 3, pp. 673-694

28. Peyman Tavallali, Thomas Y. Hou, Zuoqiang Shi, Extraction of Intrawave Signals Using Sparse Time-Frequency Representation Method, SIAM: Multiscale Modeling & Simulation, 2014, Vol. 12, No. 4, pp. 1458-1493

29. Thomas Y. Hou, Zuoqiang Shi*, Peyman Tavallali, Convergence of a Data-Driven Time-Frequency Analysis Method, Applied and Computational Harmonics, 2014, Vol. 37, No. 2, pp. 235-270

30. Thomas Y. Hou*, Zuoqiang Shi, Sparse time-frequency representation of nonlinear and nonstationary data, Science China Mathematics, 2013, Vol. 56, No. 12, pp. 2489-2506

31. Maolin Ci, Thomas Y. Hou, Zuoqiang Shi, A Multiscale Model Reduction Method for Partial Differential Equations, ESAIM:Mathematical Modelling and Numerical Analysis, 2014, Vol. 48, pp. 449-474

32. Thomas Y. Hou, Zuoqiang Shi*, Data-Driven Time-Frequency Analysis, Applied and Computational Harmonics, 2013, Vol. 35, No. 2, pp. 284-308

33. 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, Vol. 41, No. 5-6 , pp. 1385-1405

34. Thomas Y. Hou, Zuoqiang Shi, Dynamic Growth Estimates of Maximum Vorticity for 3D Incompressible Euler Equations and the SQG Model, Discrete and Continuous Dynamical Systems - A, 2012, Vol. 32, No. 5, pp. 1449-1463

35. Thomas Y. Hou*, Zuoqiang Shi, Shu Wang, On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations, Advances in Mathematics, 2012, Vol. 230, pp. 607-641

36. Thomas Y. Hou, Zuoqiang Shi, Adaptive Data Analysis via Sparse Time-Frequency Representation, Advances in Adaptive Data Analysis, 2011, Vol. 3, No. 1-2, pp. 1-28

37. 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, Vol. 199, pp. 117-144

38. Thomas Y. Hou*, Zuoqiang Shi, An Efficient Semi-Implicit Immersed Boundary Method for the Navier-Stokes Equations, Journal of  Computational Physics, 2008, Vol. 227, pp. 8968-8991

39. 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, Vol. 227, pp. 9138-9169

40. 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, vol. 78, No. 6, 063812

41. Zuoqiang Shi, Jianke Yang*, Solitary waves bifurcated from Bloch-band edges in two- dimensional periodic media, Physical Review E, 2007, Vol. 75, 056602


1. Dihan Zheng, Sia Huat Tan, Xiaowen Zhang, Zuoqiang Shi, Kaisheng Ma, Chenglong Bao*, An Unsupervised Deep Learning Approach for Real-World Image Denoising,International Conference on Learning Representations (ICLR),2021

2. Linfeng Zhang, Yukang Shi, Zuoqiang Shi, Kaisheng Ma*, Chenglong Bao*,Task-Oriented Feature Distillation,Advances in Neural Information Processing Systems (NeurIPS), 2020

3. Zonghan Yang, Yang Liu, Chenglong Bao*, Zuoqiang Shi, Interpolation between Residual and Non-Residual Networks, International Conference on Machine Learning (ICML), 2020

4. Linfeng Zhang, Muzhou Yu, Tong Chen, Zuoqiang Shi, Chenglong Bao, Kaisheng Ma*, Auxiliary Training: Towards Accurate and Robust Models, Conference on Computer Vision and Pattern Recognition (CVPR), 2020

5. Bao Wang, Zuoqiang Shi, Stanley Osher, ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies, Advances in Neural Information Processing Systems (NeurIPS), 2019

6. 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 (NeurIPS), 2018

7. Wei Zhu, Zuoqiang Shi, Stanley Osher, Scalable Low Dimensional Manifold Model In The Reconstruction Of Noisy And Incomplete Hyperspectral Images, 9th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), 2018