基于AMP的L 1/2 正则化方法
发布时间：2021-04-27 18:06
本文研究基于AMP的L1/2正则化方法,采用Belief Propagation算法的思想构造了基于AMP改进的Half阈值迭代算法,并证明所提算法至多需要有限步就能精确估计稀疏向量.通过稀疏信号重建实验,我们验证了几种基于AMP的阈值迭代求解算法的非凸正则化方法具有强的信号重建和相变能力.
【文章来源】：中国科学:信息科学. 2017,47(01)北大核心CSCD
【文章页数】：15 页
【参考文献】：
期刊论文
[1]A Sharp Nonasymptotic Bound and Phase Diagram of L1/2 Regularization[J]. Hai ZHANG,Zong Ben XU,Yao WANG,Xiang Yu CHANG,Yong LIANG. Acta Mathematica Sinica（English Series）. 2014(07)
[2]基于SCAD罚函数的有噪压缩感知[J]. 张海,梁勇,徐宗本,常象宇. 数学学报. 2013(05)
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本文编号：3163921
【文章来源】：中国科学:信息科学. 2017,47(01)北大核心CSCD
【文章页数】：15 页
【参考文献】：
期刊论文
[1]A Sharp Nonasymptotic Bound and Phase Diagram of L1/2 Regularization[J]. Hai ZHANG,Zong Ben XU,Yao WANG,Xiang Yu CHANG,Yong LIANG. Acta Mathematica Sinica（English Series）. 2014(07)
[2]基于SCAD罚函数的有噪压缩感知[J]. 张海,梁勇,徐宗本,常象宇. 数学学报. 2013(05)
[3]The essential ability of sparse reconstruction of different compressive sensing strategies[J]. ZHANG Hai1,2,LIANG Yong3,GOU HaiLiang1 & XU ZongBen1 1 Institute for Information and System Science,Xi’an Jiaotong University,Xi’an 710049,China;2Department of Mathematics,Northwest University,Xi’an 710069,China;3University of Science and Technology,Macau 999078,China. Science China（Information Sciences）. 2012(11)
[4]L1/2 regularization[J]. XU ZongBen 1 , ZHANG Hai 1,2 , WANG Yao 1 , CHANG XiangYu 1 & LIANG Yong 3 1 Institute of Information and System Science, Xi’an Jiaotong University, Xi’an 710049, China;2 Department of Mathematics, Northwest University, Xi’an 710069, China;3 University of Science and Technology, Macau 999078, China. Science China（Information Sciences）. 2010(06)
[5]压缩感知理论及其研究进展[J]. 石光明,刘丹华,高大化,刘哲,林杰,王良君. 电子学报. 2009(05)
本文编号：3163921
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