基于AMP的L 1/2 正則化方法
發(fā)布時(shí)間：2021-04-27 18:06
本文研究基于AMP的L1/2正則化方法,采用Belief Propagation算法的思想構(gòu)造了基于AMP改進(jìn)的Half閾值迭代算法,并證明所提算法至多需要有限步就能精確估計(jì)稀疏向量.通過(guò)稀疏信號(hào)重建實(shí)驗(yàn),我們驗(yàn)證了幾種基于AMP的閾值迭代求解算法的非凸正則化方法具有強(qiáng)的信號(hào)重建和相變能力.
【文章來(lái)源】：中國(guó)科學(xué):信息科學(xué). 2017,47(01)北大核心CSCD
【文章頁(yè)數(shù)】：15 頁(yè)
【參考文獻(xiàn)】：
期刊論文
[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罰函數(shù)的有噪壓縮感知[J]. 張海,梁勇,徐宗本,常象宇. 數(shù)學(xué)學(xué)報(bào). 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]壓縮感知理論及其研究進(jìn)展[J]. 石光明,劉丹華,高大化,劉哲,林杰,王良君. 電子學(xué)報(bào). 2009(05)
本文編號(hào)：3163921
【文章來(lái)源】：中國(guó)科學(xué):信息科學(xué). 2017,47(01)北大核心CSCD
【文章頁(yè)數(shù)】：15 頁(yè)
【參考文獻(xiàn)】：
期刊論文
[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罰函數(shù)的有噪壓縮感知[J]. 張海,梁勇,徐宗本,常象宇. 數(shù)學(xué)學(xué)報(bào). 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]壓縮感知理論及其研究進(jìn)展[J]. 石光明,劉丹華,高大化,劉哲,林杰,王良君. 電子學(xué)報(bào). 2009(05)
本文編號(hào)：3163921
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