Home Page
Research topics Publications Teaching Education Working Coauthors
55. J.-F. Cai, Y.
Rong, Y. Wang, and Z. Xu, Data Recovery on a Manifold from Linear Samples:
Theory and Computation, Annals of Mathematical Sciences and
Applications Volume 3 (2018) Number 1, pp. 337-365 54. Almost
Everywhere Matrix Recovery, with Yi Rong, Yang Wang.
53. On generalizations of p-sets and
their applications, with Heng Zhou, Numerical Mathematics: Theory,
Methods and Applications, to appear.
52. The minimal measurement number
problem in phase retrieval: a
review of recent developments,
Journal of Mathematical Research with Applications, Jan, 2017, Vol 37,
No.1, pp.40-46.
51. Phase retrieval by hyperplanes,
with Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng, John Haas, Tin T.
Tran, Janet C. Tremain
Contemporary
Mathematics Volume "Frames and Harmonic Analysis", 2017 50. A gradient-enhanced L1 approach for the recovery
of sparse trigonometric polynomials, with Tao Zhou. Vol. 24, No. 1, pp.
286-308, July 2018 Commun. Comput. Phys. 49. Improvement of the lower bound
of the PCM quantization error for vectors in R^2, with Heng Zhou, Journal of
approximation theory. Vol. 215, 2017, 1-12.
48. Phase Retrieval From the Magnitudes of
Affine Linear Measurements
with Bing Gao, Qiyu Sun and Yang Wang, Advance in Applied Mathematics,
93 (2018), 121–141.
47. Phaseless recovery using the
Gauss-Newton method with B. Gao, IEEE Trans. Signal Processing. VOL. 65,
NO. 22, NOVEMBER 15, 2017
46. Generalized phase retrieval :
measurement number, matrix recovery and beyond with Yang Wang. Applied
and Computational Harmonic Analysis, Available online 21 September 2017
45. The minimal measurement number for
low-rank matrices recovery, to appear in Appl. Comp. Harm. Anal., Available
online 16 February 2017
44.
Stable Signal Recovery from Phaseless
Measurements with Bing Gao, Yang Wang. J Fourier Anal Appl (2016) 22: 787. 43. Robustness Properties of
Dimensionality Reduction with Gaussian Random Matrices, with Bin Han, SCIENCE CHINA
Mathematics, 2017, 60: 1753-1778, doi: 10.1007/s11425-016-9018-x. 42. A strong restricted isometry
property, with an application to phaseless compressed sensing, with V.
Voroninski, Applied Computational Harmonic Analysis, Volume 40, Issue 2,
March 2016, Pages 386–395. 41. One-Bit Compressed Sensing by Greedy Algorithms, with Wenhui Liu, D. Gong, Numerical Mathematics: Theory , Methods and Applications, Vol. 9, No. 2, pp. 169-184, 2016. 40. Compressed Sensing Matrices from
Fourier Matrices, with G. Xu, IEEE Transactions on
Information Theory，61(2015), 469-478. 39. The lower bound of the PCM
quantization error in high dimension, with H. Zhou, Applied
Computational Harmonic Analysis, 2015 38. The performance of orthogonal multi-matching pursuit under RIP
, J. Comp. Math 33(2015), 495-516. 37. Multivariate discrete least-squares approximations with a new type of collocation grid, with T. Zhou, A. Narayan, SIAM J. Sci. Comput., 36(5), A2401–A2422., 2014. 36. On sparse interpolation and the design of deterministic interpolation points, with T. Zhou, SIAM J Sci. Comp.,Vol.36, 2014,1752-1769, 2014. 35. Phase Retrieval for Sparse Signals， with Yang Wang, Applied Computational Harmonic Analysis, Vol 37, 2014, 531-544, 2014. 34. On the $\ell_1$-Norm Invariant Convex
k-Sparse Decomposition of Signals， with G. Xu, Journal of the Operations Research Society of
China, December 2013, Volume 1, Issue
4, pp 537-541 33. On B-spline framelets derived from the
unitary extension principle, with Zuowei Shen,
SIAM
Journal on Mathematical Analysis, 45(11) 2013, 127-151. 32. The
regularity of refinable functions, with Yang
Wang, Applied Computational
Harmonic Analysis，Volume 34, Issue
1, Pages 1-162, January 2013 31．
Compressed sensing,
A survey in Chinese,
Sci Sin Math, 2012, 42(9). 30．The Performance of PCM Quantization Under Tight
Frame Representations, with Yang Wang, SIAM
J. MATH. ANAL, Vol. 44, No. 4, pp. 2802–2823, 2012. 29．A remark
about orthogonal matching pursuit algorithm,
Advances Adaptive Data Analysis, 2012. 28. Hierarchical zonotopal spaces, with O.
Holtz and A. Ron, Trans. Amer. Math. Soc., Volume 364, Number 2, 2012. 27．Deterministic Sampling of Sparse Trigonometric
Polynomials, Journal of
Complexity, Volume 27, Issue
2, April 2011, Pages 133-140. 26．
25 23．Sagbi bases of Cox-Nagata rings, with Bernd
Sturmfels, Journal of the European Mathematical Society, Volume 12, Issue 2,
2010. 22．Eulerian
numbers: a spline interpretation , With
R. Wang, Y. Xu, Journal of
Mathematical Analysis and Applications, 370 (2010) 486–490. 21．Refinement
equations and spline functions, with A. Dubickas, Adv. Comp. Math.
32: 1-23, 2010. 20．Marginal Likelihood Integrals for Mixtures of
Independence Models, with Shaowei Lin and Bernd Sturmfels, Journal of Machine Learning
Research, 10(Jul):1611--1631, 2009. 18．Discrete
Schemes for Gaussian Curvature and Their Convergence, with Guoliang Xu,
Computers and Mathematics with Applications, 2009. 17．Application
of multivariate splines to discrete mathematics, preprint. 16．An
explicit formulation for two dimensional vector partition functions,
Contemporary Math : Integer points in polyhedra--Geometry, Number Theory,
Representation Theory, Algebra, Optimization, Statistics, 2008 PDF 15．Let
me tell you my favorite lattice-point problem, with MATTHIAS BECK,
BENJAMIN NILL, BRUCE REZNICK, CARLA SAVAGE and IVAN SOPRUNOV, Contemporary Math: Integer points in
polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization,
Statistics, 2008. 12．A
robust algorithm for finding the real intersection of three quadric surfaces,
Computer Aided Geometric Design, Vol 22, Issue 6, 1 (2005), 515-530. 11．Convergence
analysis of discrete differential geometry operators over surfaces,
Lecture Notes in Computer Science, Mathematics of Surfaces XI, 2005.PDF 7．On
the dimension for multivariate weak spline function spaces, with Ren-hong
Wang, Journal of mathematical research & Exposition Vol.22,
No.1,7-12, February, 2002. 6．The
instability degree in the dimension of spaces of bivariate spline, with Ren-hong
Wang, Approx. Theory & its Appl., 18:1,2002,68-80. PS 5．Multivariate
weak spline function space, with Ren-hong Wang, Journal of
Computational and Applied Mathematics, Vol.144, No.1-2, 2002. 3．Reasonable
layout of pollution sources in nearshore waters, with Liu Shu-Zhen,
Feng En-min, Liu Heng-kui, Acta Oceanologic Sinica, 2000, No.2. 2．Application
of uniform design to computer experiments, with Wai-Man Ho, Journal of
the Chinese Statistical Association,2000,No.4. |