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65. The recovery of complex sparse signals from few phaseless measurements, with Xia Yu.

64. Almost Everywhere Generalized Phase Retrieval, with Meng Huang, Yi Rong and Yang Wang.

63. The minimizers of the $p$-frame potential, with Zili Xu.

62. Subset Selection for Matrices with Fixed Blocks, with Jiaxin Xie.

61. Solving a perturbed amplitude-based model for phase retrieval, with B.Gao, Yang Wang.

60.The estimation performance of nonlinear least squares for phase retrieval, with M. Huang

59. ON DC BASED METHODS FOR PHASE RETRIEVAL, with Meng Huang, Ming-jun Lai and Abraham  Varghese.

58. Improved bounds for the RIP of Subsampled Circulant matrices, with Meng Huang, Yuxuan Pang

57. Solving Systems of Quadratic Equations via Exponential-type Gradient Descent Algorithm, with Meng Huang, Journal of Computational Mathematics, 2019.

56. Phase retrieval from the norms of affine transformations, with Meng Huang.

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 injectivity conditions for the matrix recovery problem, with Yi Rong, Yang Wang, to appear in Applied and Computational Harmonic Analysis

53. On generalizations of p-sets and their applications, with Heng Zhou, Numerical Mathematics: Theory, Methods and Applications, 12 (2019), pp. 453-466..

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. Commun. Comput. Phys. Vol. 24, No. 1, pp. 286-308, July 2018

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, 2019, No.2, 423-446

45. The minimal measurement number for low-rank matrices recovery,  Appl. Comp. Harm. Anal., 2018

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 386395.

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 Theory61(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,  1752-1769, 2014.

35. Phase Retrieval for Sparse Signals with Yang Wang, Applied Computational Harmonic Analysis, Vol 37,  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 AnalysisVolume 34, Issue 1, Pages 1-162,  January 2013

31 Compressed sensing, A survey in Chinese,  Sci Sin Math, 2012, 42(9).


30The Performance of PCM Quantization Under Tight Frame Representations, with Yang Wang, SIAM J. MATH. ANAL, Vol. 44, No. 4, pp. 2802–2823, 2012.

29A 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.

27Deterministic Sampling of Sparse Trigonometric Polynomials,  Journal of Complexity, Volume 27, Issue 2, April 2011, Pages 133-140.

26 Multivariate splines and polytopes,  Journal of Approximation Theory, Vol. 163, Issue 3, March 2011..

25 Adaptive non-uniform B-spline dictionaries on a compact interval, With Laura Rebollo-Neira,  Signal Processing, Volume 90, Issue 7, July 2010, Pages 2308-2313.

24Subspace modelling for structured noise suppression, with Laura Rebollo-Neira, A. Plastino,   Physica A: Statistical Mechanics and its Applications, Volume 389, Issue 10, 15 May 2010, Pages 2030-2035.

23Sagbi bases of Cox-Nagata rings, with Bernd Sturmfels, Journal of the European Mathematical Society, Volume 12, Issue 2, 2010.

22Eulerian numbers:  a spline interpretation , With R. Wang, Y. Xu,  Journal of Mathematical Analysis and Applications, 370 (2010) 486490.

21Refinement equations and spline functions, with A. Dubickas,  Adv. Comp. Math. 32: 1-23, 2010.

20Marginal Likelihood Integrals for Mixtures of Independence Models, with Shaowei Lin and Bernd Sturmfels,   Journal of Machine Learning Research, 10(Jul):1611--1631, 2009.

19Multivariate F-splines and fractional box splines,  Journal of Fourier Analysis and Applications, 15:723-738, 2009.

18Discrete Schemes for Gaussian Curvature and Their Convergence, with Guoliang Xu, Computers and Mathematics with Applications, 2009.

17Application of multivariate splines to discrete mathematics, preprint. 

16An explicit formulation for two dimensional vector partition functions,  Contemporary Math : Integer points in polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics, 2008  PDF

15Let 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. 

14Analytic and algebraic properties of canal surfaces, Journal of Computational and Applied Mathematics. 195(2006)(With Jiaguang Sun, etc). PDF

13Multi-dimensional versions of a formula of Popoviciu, Science in China Series A. , 2006, PDF

12A robust algorithm for finding the real intersection of three quadric surfaces, Computer Aided Geometric Design, Vol 22, Issue 6, 1 (2005), 515-530. .(With Xiaoshen Wang, etc.) PDF

11Convergence analysis of discrete differential geometry operators over surfaces,  Lecture Notes in Computer Science, Mathematics of Surfaces XI, 2005.PDF

10The Structural Characterization and Locally Supported Bases for Bivariate Super Splines,  with Ren-hong Wang, Journal of Computational Mathematics.6(2004). PS

9The Estimation of the Bezout Number of Piecewise Algebraic Curve, with Ren-hong Wang, Science in China Series A, 2003 Vol.46 No.5, 710-717.PDF  

8Discrete Truncated Power And Lattice Points In Rational Polytope, with Ren-Hong Wang, Journal of Computational and Applied Mathematics 159 (2003) 149-159.PDF

7On 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.

6The instability degree in the dimension of spaces of bivariate spline, with Ren-hong Wang, Approx. Theory & its Appl., 18:1,2002,68-80. PS

5Multivariate weak spline function space, with Ren-hong Wang,  Journal of Computational and Applied Mathematics, Vol.144, No.1-2, 2002.

4Some properties about crossing cut partition,  with Ren-hong Wang, Numerical Mathematics A journal of Chinese Universities, 2001, No.4.

3Reasonable layout of pollution sources in nearshore waters,  with Liu Shu-Zhen, Feng En-min, Liu Heng-kui, Acta Oceanologic Sinica, 2000, No.2.

2Application of uniform design to computer experiments,  with Wai-Man Ho, Journal of the Chinese Statistical Association,2000,No.4.

1Numerical simulation of tidal motion and parameter identification, with Liu Shu-Zhen Feng En-min, J. Dalian Uni. Tech., 1999, No.3.