1. Newton-Step-Based Hard Thresholding Algorithms for Sparse Signal Recovery, Technical
report, University of Birmingham, 20 January 2020.
2. Analysis of optimal thresholding algorithms for compressed
sensing, Technical Report, University of Birmingham, September 2019/2020.
3. J. Xu and Y.B. Zhao, Dual-density-based reweighted
l1-algorihtms for class of l0-minimization problems, Tech Report, 2019/2020.
4. J. Xu and Y.B. Zhao, Stability analysis for a class of
sparse optimization problems,
arXiv:1904.09637, 2019
to appear
in Optimization Method and Software.
5. Z. Li and Y. Zhao, On norm compression inequalities
for partitioned block tensors, to appear in Calcolo
6. Y.B. Zhao, Optimal
k-thresholding algorithms for sparse optimization problems,
SIAM Journal on Optimization, 30
(2020), no. 1, pp. 31-55. https://doi.org/10.1137/18M1219187.
7. Y.B. Zhao, H. Jiang and Z.-Q. Luo, Weak stability of ℓ1-minimization
methods in sparse data reconstruction,
Mathematics
of Operations Research, 44 (2019),
no.1, pp. 173每195. https://doi.org/10.1287/moor.2017.0919
8. Y.B. Zhao, Sparse
Optimization Theory and Methods,
CRC Press, Boca Raton,
FL, 2018. (Book)
9. Y.B. Zhao and D. Li, A Theoretical Analysis of Sparse
Recovery Stability of Dantzig Selector and LASSO,
axXiv:1711.03783. 2017
10. Y. Zhao,
Z. Peng, Y.B. Zhao, Robust weighted expected residual minimization formulation
for stochastic vector variational inequalities,
J.
Nonlinear Sci. Appl., 10 (2017),
pp.5825--5833.
11. Y.B. Zhao and Z.Q. Luo, Constructing new weighted ℓ1-algorithms
for the sparsest points of polyhedral sets,
Mathematics
of Operations Research, 42 (2017),
no.1, pp. 57--76. https://doi.org/10.1287/moor.2016.0791
12. Z. Y. Peng, X. Long, X. Wang and Y.B. Zhao, Generalized Hadamard
well-posedness for infinite vector optimization
problems,
Optimization, 66
(2017), no.10,
pp. 1563--1575.
13. Y.B. Zhao and C. Xu, 1-Bit Compressive Sensing:
Reformulation and RRSP-Based Sign Recovery Theory,
Science
China Mathematics, 59 (2016), No. 10, pp. 2049每2074.
14. Y.B. Zhao and M. Kocvara, A new computational method for the
sparsest solutions to systems of linear equations
SIAM
Journal on Optimization, 25 (2015), No. 2, pp. 1110每1134. https://doi.org/10.1137/140968240
15. F. Hegarty, P. Ó
Cath芍in, Y.B. Zhao, Sparsification of Matrices and Compressed Sensing, Technical
report, 2014.
16. H.B. Zhang, J.J. Jiang and Y.B. Zhao, On the proximal Landweber
Newton method for a class of nonsmooth convex
problems,
Computational
Optimization and Applications, 61 (2015),
pp. 79-99.
17. C. Xu and Y.B. Zhao, Uniqueness conditions for a class
of l0 -minimization problems,
Asia-Pacific Journal of Operational Research, 32 (01), 1540002,
2015.
18. Y.B. Zhao, Equivalence
and strong equivalence between the sparsest and least $ \ell_1$-norm
nonnegative solutions of linear systems and their applications.
J. Oper. Res.
Soc. China, 2 (2014), no. 2, pp. 171每193.
19. Y.B. Zhao, RSP-Based
analysis for sparest and least $\ell_1$-norm solutions to underdetermined
linear systems,
IEEE Transactions on Signal Processing, 61 (2013), no. 22, pp. 5777-5788. (10.1109/TSP.2013.2281030)
20. Y.B. Zhao, New
and improved conditions for uniqueness of sparsest solutions of underdetermined
linear systems,
Applied
Mathematics and Computation, 224 (2013), pp. 58-73.
21. Y.B. Zhao and M. Fukushima, Rank-one solutions for
homogeneous linear matrix equations over the positive semidefinite cone, (pdf)
Applied
Mathematics and Computation, 219
(2013), pp. 5569-5583.
22. Y.B. Zhao and D. Li, Reweighted $\ell_1$-Minimization for
Sparse Solutions to Underdetermined Linear Systems,
SIAM Journal
on Optimization, 22 (2012), No. 3, pp.
1065-1088.
23.Y.B. Zhao, An approximation theory of matrix rank minimization and its applications to quadratic equations,
Linear
Algebra and its Applications, 437
(2012), pp. 77-93.
24. Y.B. Zhao, Convexity
conditions of Kantorovich function and related semi-infinite linear matrix
inequalities,
Journal of
Computational and Applied Mathematics, 235 (2011) , pp. 4389每4403.
25. I. Averbakh and Y.B. Zhao, Robust univariate spline
models for interpolating interval data,
Operations
Research Letters, 39 (2011), pp. 62-66
26. Y.B. Zhao,
Convexity conditions and the
Legendre-Fenchel transform of the product of finitely
many quadratic forms,
Applied
Mathematics and Optimization, 62 (2010),
pp. 411-434.
27. Y.B. Zhao, The
Legendre-Fenchel conjugate of the product of two
positive-definite quadratic forms,
SIAM Journal on Matrix Analysis and
Applications, 31(2010), no.4, pp.1792-1811.
28. I. Averbakh, S.C. Fang and Y.B.
Zhao, Robust univariate cubic L2 spine: interpolating data
with uncertain position measurement,
Journal
of Industrial Management and Optimization, 5 (2009), no.2, pp. 351-361.
29. I. Averbakh and Y.B.Zhao, Robust second-order-cone programming,
Applied
Mathematics and Computation, 210
(2009), 387-397.
30. Y.B. Zhao, S.C. Fang and J.E. Lavery,
Geometric dual formulation of the
first derivative based C1-smooth univariate cubic L1 spline functions,
Journal of Global Optimization, 40(2008),
589-621.
31. I. Averbakh and Y.B. Zhao, Explicit reformulations for robust
optimization problems with general uncertainty sets,
SIAM Journal on Optimization, 18 (2008), pp. 1436-1466
32. Y.B. Zhao, Enlarging
neighborhood of interior-point algorithms for linear
programming via the least value of proximity functions,
Applied Numerical
Mathematics, 57( 2007), 1033-1049.
33. Y.B. Zhao and J. Hu, Global bounds for the distance to solutions
of co-coercive variational inequalities,
Operations Research Letters, 35(2007) , pp. 409-415.
34. Y.B. Zhao and D. Li, On KKT points of
homogeneous programming ,
Journal of Optimization Theory and Applications , 130
(2006), 367-374.
35. Y.B. Zhao, S.C. Fang and D. Li, Constructing generalized mean functions
via convex functions with regularity conditions,
SIAM Journal on Optimization , 17 (2006) , 37-51.
36. Y.B. Zhao and D. Li, A new path-following algorithm for
nonlinear P_* complementarity problems,
Computational Optimization and Applications, 34
(2006), 183-214.
37. J. Peng, T. Terlaky
and Y.B. Zhao, An interior point
algorithm for linear optimization based on a proximity function,
SIAM Journal on Optimization,
15(2005), no.4, pp. 1105-1127.
38. Y.B. Zhao and D. Li, A globally and locally
convergent non- interior- point algorithm for P_0 LCPs,
SIAM Journal on Optimization, 13 (2003), no.4, 1195〞1221.
39. Y.B. Zhao and D. Li, Locating the
least 2-norm solution of linear programming via the path- following
methods,
SIAM Journal on Optimization. 12 (2002), no. 4, 893--912.
40. Y.B. Zhao and D. Li,
Exitstence
and limiting behavior of a non-interior-point
trajectory for CPs without strict feasibility condition,
SIAM Journal on Control and
Optimization. 40
(2001), no. 3, pp. 898-924.
41. Y.B. Zhao and D. Li, Monotonicity of fixed point and normal
mappings associated with variational inequality and
its application.
SIAM Journal on Optimization, 11
(2001), no 4, pp. 962-973.
42. Y.B. Zhao and D. Li, On a new homotopy
continuation trajectory for nonlinear
complementarity problems,
Mathematics of Operations Research, 26 (2001), no.
1 pp. 119-146.
43. Y.B. Zhao and D. Sun Alternative theorems for nonlinear
projection equations and applications to generalized complementarity problems,
Nonlinear Analysis, Ser. A. Theory Methods,
46 (2001), no. 6, pp. 853-868.
44. Y.B. Zhao and G. Isac,
Properties of a multi-valued mapping
associated with some non-monotone complementarity problems,
SIAM Journal on Control and
Optimization. 39 (2000),
pp. 571-593.
45. Y.B. Zhao and D. Li, Strict feasibility conditions in
nonlinear complementarity problems,
Journal of Optimization Theory and Applications , 107 (2000), pp.641-664.
46. G. Isac and Y.B. Zhao,
Exceptional family of elements and
the solvability of variational inequality for
unbounded sets in infinite dimensional Hilbert Spaces,
Journal of Mathematical Analysis and Applications, 246
(2000), pp. 544-556.
47. Y.B. Zhao and G. Isac, Quasi-P^*-maps, P(\tau, \alpha,
\beta)-maps, exceptional family of elements and complementarity problems,
Journal of Optimization Theory and Applications, 105 (2000), pp. 213-231.
48.Y.B. Zhao and J.Yuan, An alternative theorem for
generalized variational inequalities and solvability
of nonlinear quasi-P^M_*-complementarity problems,
Applied Mathematics and Computaiton, 109 (2000), 167--182.
49. Y.B. Zhao and J. Han, Exceptional family of elements for a variational inequality and its applications,
Journal of Global Optimization, 14 (1999), pp.313-330.
50. Y.B. Zhao, J. Han and H.D. Qi Exceptional families and existence
theorems for variational inequality problems,
Journal of Optimization Theory and Applications , 101
(1999), pp. 475-495.
51. Y.B. Zhao and J. Han, Two interior-point methods for nonlinear
P_*(\tau)-complementarity problems,
Journal of Optimization Theory and Applications, 102
(1999), pp. 659-679.
52. Y.B. Zhao, Existence of a solution to nonlinear variational inequality under generalized positive
homogeneity,
Operations Research Letters, 25
(1999), pp. 231-239.
53. Y.B. Zhao, D-orientation
sequence for continuous functions and nonlinear complementarity problems,
Applied Mathematics and Computation, 106
(1999), pp. 221-235.
54. Y.B. Zhao, Extended projection methods for monotone
variational inequalities,
Journal of Optimization Theory and Applications, 100 (1999), 219-231.
55. Y.B. Zhao, Exceptional family and finite-dimensional variational inequalities over polyhedral convex sets,
Applied Mathematics and Computation 87 (1997), pp. 111-126.
56. D. Sun, J.Y.Han, Y.B. Zhao, The finite termination of the damped Newton algorithm for linear
complementarity problems.
Acta. Math. Appl. Sinica
, 21 (1998), 148--154.
57. Y.B. Zhao and Y.R. Duan, Convergence of the pseudo-Newton-$\delta$ class methods for general objective
functions.
Chinese J. Numer. Math.
Appl, 18 (1996), no.3. 13〞24
58.Y.B. Zhao and J. Li , A globally
convergent general algorithm scheme for nonlinear programming and its
applications,
Acta. Math. Appl. Sinica, 19 (1996) no.2, 313--315.
59. Y.B. Zhao and Z.Yi, and global convergence
for the pseudo-Newton-\delta class,
J. Numer. Methods Comput. Appl., 16 (1995), no. 1, 53--62.