Preprint

  1. "Deep Residual Learning and PDEs on Manifold"
    by Zhen Li and Zuoqiang Shi.
    [ .pdf | mathscidoc: 1708.19001 ]
  2. "Low dimensional manifold model in hyperspectral image reconstruction"
    by Z. Shi, W. Zhu and S. Osher.
    [ .pdf | arXiv cs.CA 1605.05652 ]
  3. "Gauss Surface Reconstruction"
    by W. Lu, Z. Shi, B. Wang and J. Sun.
    [ .pdf | mathscidoc:1609.16001 ]
  4. "Point integral method for elliptic equations with variable coefficients on point clouds"
    by Z. Li, Z. Shi and J. Sun.
    [ .pdf ]
  5. "Convergence of Laplacian spectra from random samples"
    by Zuoqiang Shi
    [ .pdf | arXiv math.NA 1507.00151 ]
  6. "Harmonic extension on point cloud"
    by Z. Shi, J. Sun and M. Tian.
    [ .pdf ]

Publications

  1. "Sparse Time-Frequency decomposition for multiple signals with same frequencies"
    by T. Y. Hou and Z. Shi, accepted by Advances in Data Science and Adaptive Analysis, 2017.
    [ .pdf ]
  2. "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 ]
  3. "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 ]
  4. "Compressive sensing of wireless sensors based on group sparse optimization for structural health monitoring"
    by Y. Bao, Z. Shi, X. Wang and H. Li, accepted by Structural Control and Health Monitoring, 2017.
  5. "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.
  6. "Low dimensional manifold model for image processing"
    by S. Osher, Z. Shi and W. Zhu. accepted by SIAM Journal on Imaging Sciences, 2017.
    [ .pdf ]
  7. "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.
    [.pdf]
  8. "A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data"
    by C. Liu, Z. Shi and T. Y. Hou, accepted by Science China Mathematics.
    [ .pdf]
  9. "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]
  10. "Weighted Nonlocal Laplacian on Interpolation from Sparse Data"
    by Z. Shi, S. Osher and W. Zhu, Journal of Scientific Computing, https://doi.org/10.1007/s10915-017-0421-z, 2017.
    [ .pdf ]
  11. "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 ]
  12. "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 ]
  13. "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 ]
  14. "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 ]
  15. "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 ]
  16. "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 ]
  17. "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]
  18. "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]
  19. "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 ]
  20. "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 ]
  21. "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 ]
  22. "Data-Driven Time-Frequency Analysis"
    by Thomas Y. Hou and Zuoqiang Shi, Appl. Comput. Harmon. Anal., Vol. 35(2), pp. 284-308, 2013.
    [ .pdf ]
  23. "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 ]
  24. "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 ]
  25. "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 ]
  26. "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 ]
  27. "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 ]
  28. "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 ]
  29. "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 ]
  30. "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 ]
  31. "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]

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


Last Modified: July 31, 2017