人员简介

赵云彬

研究科学家

教育背景

中国科学院数学与系统科学研究院运筹与控制博士

研究领域
应用数学,运筹学,计算优化,压缩感知
个人简介

赵云彬于2020年1月出任深圳市大数据研究院高级研究科学家。 他1998年于中国科学院数学与系统科学研究院获运筹与控制博士学位,1999-2002年间分别担任中科院计算数学与科学工程计算,香港中文大学 和加拿大菲尔兹数学研究所博士后研究员, 2001-2008年间在中国科学院数学与系统科学研究院工作,历任助理研究员,副研究员,博士生导师,应用数学研究所运筹研究室副主任。 2007-2020年间历任英国伯明翰大学数学学院讲师和高级讲师。他长期在应用数学,运筹学,计算优化,压缩感知等领域开展研究工作。 最近在稀疏信号处理和压缩感知领域取得了一系列原创性成果,如RSP信号重构理论,凸重构算法的一致稳定性理论,对偶稠密化方法,以及最优Thresholding高性能算法等。他在国际著名的应用数学期刊上发表了近60篇学术论文和1本稀疏优化领域的英文专著。他曾担任几个国际数学杂志的编委。

学术著作

1.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

2.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. 173–195. https://doi.org/10.1287/moor.2017.0919

3. Y.B. Zhao,  Sparse Optimization Theory and Methods,   CRC Press,  Taylor & Francis Group,  2018.  Amazon.co.uk.

4.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

5.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. 2049–2074.

6.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. 1110–1134. https://doi.org/10.1137/140968240

7.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. 171–193. (PDF)

8.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.  DOI:  10.1109/TSP.2013.2281030

9.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.

10.  Y.B. Zhao,  An approximation theory of matrix rank minimization and its application to quadratic equations, Linear Algebra and its Applications, 437 (2012),  pp.77-93.

11.  Y.B. Zhao,  The Legendre-Fenchel conjugate of the product of two positive-definite quadratic forms,SIAM Journal on Matrix Analysis & Applications, 31 (2010), no.4, pp.1792-1811.

12.  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

13.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) ,  pp. 37-51.

14.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),    pp. 1105-1127.

15.  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.

16.  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.

17.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), pp. 898-924.

18. 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.

19.  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.

20.  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.