A Projection-Based Algorithm for Constrained L1- Minimization Optimization with Application to Sparse Signal Reconstruction

	A Projection-Based Algorithm for Constrained L1- Minimization Optimization with Application to Sparse Signal Reconstruction
	Qingshan Liu; Wei Zhang; Jiang Xiong; Bingrong Xu; Long Cheng
	2018
会议名称	2018 Eighth International Conference on Information Science and Technology (ICIST)
会议日期	30 June-6 July 2018
会议地点	Cordoba
会议举办国	Spain
摘要	In this paper, a projection-base algorithm is proposed for solving the constrained L 1 -minimization problem. Furthermore, the algorithm is utilized to sparse signal reconstruction. The L 1 -minimization is first converted into some equations which are described by the projections onto a hyper box set and the nonnegative quadrant. Then a iterative algorithm is proposed for solving the L 1 -minimization problem. Next, the algorithm is applied to sparse signal reconstruction described as an L 1 -minimization problem subject to L ∞ -norm noise constraint, or equivalently bound constraint. Finally, several experiments are presented to show the performance of the proposed algorithm.
文献类型	会议论文
条目标识符	http://ir.ia.ac.cn/handle/173211/23119
专题	复杂系统认知与决策实验室_先进机器人
推荐引用方式 GB/T 7714	Qingshan Liu, Wei Zhang, Jiang Xiong,et al. A Projection-Based Algorithm for Constrained L1- Minimization Optimization with Application to Sparse Signal Reconstruction[C],2018.