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- Yunbin Zhao
- IEEE Trans. Signal Processing
- 2013

Recently, the worse-case analysis, probabilistic analysis and empirical justification have been employed to address the fundamental question: When does l1-minimization find the sparsest solution to an underdetermined linear system? In this paper, a deterministic analysis, rooted in the classic linear programming theory, is carried out to further address… (More)

- Yunbin Zhao
- Oper. Res. Lett.
- 1999

We establish several new existence theorems for nonlinear variational inequalities with generalized positively homogeneous functions. The results presented here are general enough to include two Mor e existence theorems of complementarity problems as the special cases. We also establish an existence result for the nonlinear complementarity problem with an… (More)

- Jiming Peng, Tamás Terlaky, Yunbin Zhao
- SIAM Journal on Optimization
- 2005

It is well known that the so-called first-order predictor-corrector methods working in a large neighborhood of the central path are among the most efficient interior-point methods (IPMs) for linear optimization (LO) problems. However, the best known iteration complexity of this type of methods is O (

- Yunbin Zhao, Jin Yu, Jiuling Gu, Wei Huang
- Journal of enzyme inhibition and medicinal…
- 2011

A novel high-performance liquid chromatography (HPLC) method based on the internal standard method was established for assaying the tumour necrosis factor-α converting enzyme (TACE) activity and matrix metalloprotease-9 (MMP-9) activity, and was used to evaluate the inhibitive effectiveness of inhibitors to TACE and MMP-9. In the assay method for TACE and… (More)

- Yunbin Zhao, Defeng Sun
- 2007

This paper introduces two concepts of exceptional families for a class of nonlinear projection equations which provide a uniied formulation of several special cases such as nite-dimensional variational inequalities and complementarity problems. Based on these concepts, two alternative theorems, and then two suucient existence conditions, are established for… (More)

- Yunbin Zhao
- 2013

Recently, the worse-case analysis, probabilistic analysis and empirical justification have been employed to address the fundamental question: When does l1-minimization find the sparsest solution to an underdetermined linear system? In this paper, a deterministic analysis, rooted in the classic linear programming theory, is carried out to further address… (More)

- Yunbin Zhao, Defeng Sun
- 2001

This paper introduces two concepts of exceptional families for a class of nonlinear projection equations which provide a uniied formulation of nite-dimensional variational inequalities and complementarity problems. Based on these concepts, two alternative theorems are established for this class of nonlinear projection equations. We utilize one of the… (More)

- Fintan Hegarty, Padraig Ó Catháin, Yunbin Zhao
- ArXiv
- 2015

Compressed sensing is a relatively new signal processing technique whereby the limits proposed by the Shannon-Nyquist theorem can be exceeded under certain conditions imposed upon the signal. Such conditions occur in many real-world scenarios, and compressed sensing has emerging applications in medical imaging, big data, and statistics. Finding practical… (More)

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