Preprint
 "Deep Residual Learning and PDEs on Manifold"
by Zhen Li and Zuoqiang Shi.
[ .pdf 
mathscidoc: 1708.19001 ]
 "Low dimensional manifold model in hyperspectral image reconstruction"
by Z. Shi, W. Zhu and S. Osher.
[ .pdf 
arXiv cs.CA 1605.05652 ]
 "Gauss Surface Reconstruction"
by W. Lu, Z. Shi, B. Wang and J. Sun.
[ .pdf 
mathscidoc:1609.16001 ]
 "Point integral method for elliptic equations with variable coefficients on point clouds"
by Z. Li, Z. Shi and J. Sun.
[ .pdf ]
 "Convergence of Laplacian spectra from random samples"
by Zuoqiang Shi
[ .pdf 
arXiv math.NA 1507.00151 ]
 "Harmonic extension on point cloud"
by Z. Shi, J. Sun and M. Tian.
[ .pdf ]
Publications
 "Sparse TimeFrequency 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 ]
 "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/s109150170549x, 2017.
[ .pdf ]
 "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 ]
 "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.
 "Noise attenuation in a low dimensional manifold"
by S. Yu, J. Ma, S. Osher and Z. Shi.
Geophysics, Vol. 82, No. 5, pp. V321V334, 2017.
 "Low dimensional manifold model for image processing"
by S. Osher, Z. Shi and W. Zhu.
accepted by SIAM Journal on Imaging Sciences, 2017.
[ .pdf ]
 "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]
 "A TwoLevel Method for Sparse TimeFrequency Representation of Multiscale Data"
by C. Liu, Z. Shi and T. Y. Hou,
accepted by Science China Mathematics.
[ .pdf]
 "Enforce the Dirichlet boundary condition by volume constraint in Point Integral method"
by Zuoqiang Shi,
Commun. Math. Sci., Vol. 15, No. 6, pp. 17431769, 2017.
[ .pdf]
 "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/s109150170421z, 2017.
[ .pdf ]
 "Point Integral Method for Solving Poissontype 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. 228258, 2017.
[.pdf ]
 "Identification of timevarying cable tension forces based on adaptive sparse timefrequency 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 ]
 "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. 874905, 2016.
[ .pdf ]
 "Sparse TimeFrequency 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 ]
 "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 ]
 "On the Uniqueness of Sparse TimeFrequency Representation of
Multiscale Data"
by Chunguang Liu, Zuoqiang Shi and Thomas Y. Hou,
SIAM: Multiscale Modeling & Simulation, Vol. 13(3), pp. 790811, 2015.
[ .pdf ]
 "Extraction of Intrawave Signals Using Sparse TimeFrequency
Representation Method"
by P. Tavallali, T. Y. Hou and Z. Shi,
SIAM: Multiscale Modeling & Simulation, Vol. 12(4), pp. 14581493, 2014.
[ .pdf]
 "Sparse Time Frequency Representations and Dynamical Systems"
by T. Y. Hou, Z. Shi and P. Tavallali,
Commun. Math. Sci., Vol. 13(3), pp. 673694, 2015.
[ .pdf]
 "Convergence of a DataDriven TimeFrequency Analysis Method"
by T. Y. Hou, Z. Shi and P. Tavallali,
Appl. Comput. Harmon. Anal., Vol. 37(2), pp. 235270, 2014.
[ .pdf ]
 "Sparse timefrequency representation of nonlinear and nonstationary data"
by Thomas Y. Hou and Zuoqiang Shi,
Science China Mathematics, Vol. 56(12), pp. 24892506, 2013.
[ .pdf ]
 "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. 449474, 2014.
[ .pdf ]
 "DataDriven TimeFrequency Analysis"
by Thomas Y. Hou and Zuoqiang Shi,
Appl. Comput. Harmon. Anal., Vol. 35(2), pp. 284308, 2013.
[ .pdf ]
 "A Decadal Microwave Record of Tropical Air Temperature from AMSUA/Aqua Observations"
by Y. Shi, K. F. Li, Y. L. Yung, H. H. Aumann, Z. Shi, and T. Y. Hou,
Climate Dynamics, Vol. 41(56) , pp. 13851405, 2013.
[ .pdf ]

"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. 14491463, 2012.
[ .pdf ]

"On Singularity Formation of a 3D Model for Incompressible NavierStokes Equations"
by T. Y. Hou, Z. Shi, and S. Wang,
Advances in Mathematics,, Vol. 230, pp. 607641, 2012.
[.pdf ]
 "Adaptive Data Analysis via Sparse TimeFrequency Representation"
by Thomas Y. Hou and Zuoqiang Shi,
Advances in Adaptive Data Analysis, Vol 3(1&2), pp. 128, 2011.
[ .pdf ]

"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. 117144, 2011.
[.pdf ]

"An Efficient SemiImplicit Immersed Boundary Method for the NavierStokes Equations"
by T. Y. Hou and Z. Shi,
J. Comput. Phys.,, Vol. 227, pp. 89688991, 2008.
[.pdf ]

"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. 91389169, 2008.
[.pdf ]

"Linear instability of twodimensional lowamplitude
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 ]

"Solitary waves bifurcated from Blochband edges in two
dimensional periodic media"
by Zuoqiang Shi and Jianke Yang,
Phys. Rev. E,, Vol. 75:056602, 2007.
[pdf]
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