Preprint

  1. "Compute Quasi-Conformal Map on Point Cloud by Point Integral Method"
    by Z. Li, Z. Shi and J. Sun. [ .pdf ]
  2. "A Nonlocal Stokes system with volume constraints"
    by Qiang Du and Zuoqiang Shi. [ .pdf ]
  3. "Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold"
    by Zuoqiang Shi. [ .pdf ]
  4. "Deep Residual Learning and PDEs on Manifold"
    by Zhen Li and Zuoqiang Shi.
    [ .pdf | mathscidoc: 1708.19001 ]
  5. "Low dimensional manifold model in hyperspectral image reconstruction"
    by Z. Shi, W. Zhu and S. Osher.
    [ .pdf | arXiv cs.CA 1605.05652 ]
  6. "Gauss Surface Reconstruction"
    by W. Lu, Z. Shi, B. Wang and J. Sun.
    [ .pdf | mathscidoc:1609.16001 ]
  7. "Point integral method for elliptic equations with variable coefficients on point clouds"
    by Z. Li, Z. Shi and J. Sun. [ .pdf ]
  8. "Convergence of Laplacian spectra from random samples"
    by Zuoqiang Shi
    [ .pdf | arXiv math.NA 1507.00151 ]

Publications

  1. "Harmonic extension on point cloud"
    by Z. Shi, J. Sun and M. Tian, accepted by SIAM: Multiscale Modeling & Simulation, 2017.
    [ .pdf ]
  2. "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 ]
  3. "Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model"
    by Z. Shi, S. Osher and W. Zhu, Journal of Scientific Computing, https://doi.org/10.1007/s10915-017-0549-x, 2017.
    [ .pdf ]
  4. "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 ]
  5. "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.
  6. "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.
  7. "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 ]
  8. "Convergence of the Point Integral method for Poisson equation on point cloud"
    by Z. Shi and J. Sun, accepted by Research in the Mathematical Sciences, 2017.
    [.pdf]
  9. "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]
  10. "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]
  11. "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 ]
  12. "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 ]
  13. "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 ]
  14. "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 ]
  15. "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 ]
  16. "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 ]
  17. "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 ]
  18. "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]
  19. "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]
  20. "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 ]
  21. "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 ]
  22. "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 ]
  23. "Data-Driven Time-Frequency Analysis"
    by Thomas Y. Hou and Zuoqiang Shi, Appl. Comput. Harmon. Anal., Vol. 35(2), pp. 284-308, 2013.
    [ .pdf ]
  24. "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 ]
  25. "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 ]
  26. "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 ]
  27. "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 ]
  28. "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 ]
  29. "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 ]
  30. "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 ]
  31. "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 ]
  32. "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]

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