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82. Finite Samples for Shallow Neural
Networks, with Y. Xia
81. Stability of Least Square
Approximation under Random Sampling, with Xinyue Zhang.
80.
Stability in Phase Retrieval:
Characterizing Condition Numbers and the Optimal Vector Set, with Yu Xia
and Zili Xu, Math.
Comp., 2025.
79. Interlacing Polynomial Method for
Matrix Approximation via Generalized Column and Row Selection, with J.-F.
Cai and Zili Xu. To appear in Foundations of
Computational Mathematics
78. Asymptotically Sharp Upper Bound for the Column Subset Selection Problem, with J.-F. Cai and Zili Xu, International Mathematics Research Notices, 2024.77. Affine phase retrieval for sparse
signals via L1 minimization, with S. Sun, M. Huang, J
Fourier Anal Appl, 2023
76. No existence of linear algorithm for Fourier phase retrieval, with Meng Huang, Journal of Complexity, 86 (2025) 101886.75. Strong convexity of affine phase
retrieval, with Meng Huang, IEEE Transactions
on Signal Processing, 2024
74. The performance of quadratic models for complex phase retrieval, with Yu Xia, Information and Inference: A Journal of the IMA, 202473. 相位恢复：理论、模型与算法，计算数学，2022年2月，第44 卷第1期，1-18.72. Improved bounds in
Weaver's KS_r conjecture for high rank positive semidefinite matrices,
with Zili Xu, Ziheng Zhu, Journal of Functional
Analysis, 29, 2023
71. Uniqueness and stability for the
solution of a nonlinear least squares problem, with Meng Huang, Math.
Comp., 2024
70. Sparse phase retrieval via
Phaseliftoff, with Yu Xia, IEEE Transactions on
Signal Processing, Page(s): 2129 – 2143, Vol.69, 2021. 69. Bounds on antipodal spherical designs with few angles, with Z.L. Xu , W.-H. Yu, The Electronic Journal of Combinatorics, 202168. Graph Sparsification by Universal Greedy Algorithms, with Ming-jun Lai, Jiaxin Xie, J. Comp. Math., 41 (2023), pp. 741-770.67. Upper and lower bounds for matrix
discrepancy, with
Jiaxin Xie and Ziheng Zhu, J Fourier Anal Appl, (2022) 28:81
66. Performance bound of the
intensity-based model for noisy phase retrieval, with Meng Huang, Applied
and Computational Harmonic Analysis, Volume 68, January 2024, 101584
65. The recovery
of complex sparse signals from few phaseless measurements, with Yu Xia, Applied
and Computational Harmonic Analysis, Volume 50,2021.
64. Almost Everywhere Generalized Phase Retrieval, with Meng Huang, Yi
Rong and Yang Wang, Applied
and Computational Harmonic Analysis, Vol. 50, January 2021, Pages 16-33
63. The minimizers of the
$p$-frame potential, with Zili Xu, Applied
and Computational Harmonic Analysis, Volume 52, May 2021, Pages 366-379
62. Subset Selection for Matrices with
Fixed Blocks, with Jiaxin Xie,
Israel Journal of Mathematics,
2021
61. Perturbed Amplitude Flow for Phase
Retrieval, with B. Gao, Sun, Yang Wang, IEEE Transactions on Signal Processing,
Vol.68, 5427-5440, 2020.
60.The estimation
performance of nonlinear least squares for phase retrieval, with M. Huang, IEEE
Transactions on Information Theory, Volume: 66, Issue: 12, Dec. 7967 -7977, 2020.
59. On DC based method for phase retrieval, with Meng Huang, Ming-jun Lai and
Abraham Varghese,
Approximation Theory XVI, Nashville, 2019
58. Improved bounds for the RIP of
Subsampled Circulant matrices, with Meng Huang, Yuxuan Pang,
Sampling Theory in Signal and Image Processing, (2019), 1–8.
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, Advance
in Applied Mathematics, Volume 130,2021
55. Data
Recovery on a Manifold from Linear Samples: Theory and Computation, with
J.-F. Cai, Y. Rong, Y. Wang, 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, Applied
and Computational Harmonic Analysis, Vol.50 January 2021, Pages 386-400
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, Applied and Computational Harmonic
Analysis, 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 42.
A
strong restricted isometry property, with an application to phaseless
compressed sensing, with
V. Voroninski, Applied
and Computational Harmonic Analysis, Volume 40, Issue 2,
March 2016, Pages 386–395. 41. One-Bit Compressed Sensing by Greedy
Algorithms, with W. Liu and 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, 1752-1769, 2014. 35. Phase Retrieval for Sparse Signals, with Yang Wang, Applied
and 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 Analysis，Volume 34, Issue
1, January 2013 31.
Compressed sensing, A survey, 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． Multivariate splines and polytopes, Journal of Approximation Theory, Vol. 163, Issue
3, March 2011.. 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 G. 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. 11．Convergence
analysis of discrete differential geometry operators over surfaces,
Lecture Notes in Computer Science, Mathematics of Surfaces XI, 2005.PDF 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. 2．Application
of uniform design to computer experiments, with Wai-Man Ho, Journal of
the Chinese Statistical Association,2000,No.4. |