The Dantzig Selector:Sparse Signals Recovery via l_(1-q)Minimization Model  

丹齐格选择器:恢复稀疏信号的l_(1-q)最小化模型

作　　者：LI Jie DENG Chaohong LI Baode 李杰;邓超红;李宝德(新疆大学数学与系统科学学院,新疆乌鲁木齐830017)

机构地区：[1]School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China

出　　处：《新疆大学学报(自然科学版中英文)》2025年第1期14-23,共10页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：supported by the National Natural Science Foundation of China“Variable exponential function spaces on variable anisotropic Euclidean spaces and their applications”(12261083),“Harmonic analysis on affine symmetric spaces”(12161083).

摘　　要：We propose the Dantzig selector based on the l_(1-q)(1<q≤2)minimization model for the sparse signal recovery.First,we discuss some properties of l_(1-q)minimization model and give some useful inequalities.Then,we give a sufficient condition based on the restricted isometry property for the stable recovery of signals.The l_(1-2)minimization model of Yin-Lou-He is extended to the l_(1-q)minimization model.提出了一种用l_(1-q)(1<q≤2)最小化模型恢复稀疏信号的丹齐格选择器.首先,讨论了l_(1-q)最小化模型的一些性质并给出了一些有用的不等式.然后,给出约束等距性质下稳定恢复稀疏信号的充分条件.将Yin-Lou-He的l_(1-2)最小化模型推广为l_(1-q)最小化模型.

关 键 词：Dantzig selector l_(1-q)minimization model signal recovery restricted isometry property 

分 类 号：O177.2[理学—数学]