Stable Recovery of Sparse Signals via $l_p-$Minimization

Jinming Wen, Dongfang Li, Fumin Zhu

Type: Preprint

Publication Date: 2014-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1406.4328

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Stable and Robust Recovery of Approximately $k$-Sparse Signals with Partial Support Information in Noise Settings via Weighted $ℓ_p\ (0 < P ≤ 1)$ Minimization	2023	Biao Du Anhua Wan
+ PDF Chat	Stable recovery of sparse signals via <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-minimization	2014	Jinming Wen Dongfang Li Fumin Zhu
+	A sharp sufficient condition of block signal recovery via $l_2/l_1$-minimization	2017	Jianwen Huang Jianjun Wang Wendong Wang Feng Zhang
+	A Sharp Sufficient Condition of Block Signal Recovery Via $l_2/l_1$-Minimization	2017	Jianwen Huang Jianjun Wang Wendong Wang
+	Stable recovery of approximately k-sparse signals in noisy cases via ℓ minimization	2020	Anhua Wan
+	On the Performance of Sparse Recovery via L_p-minimization (0<=p <=1)	2010	Meng Wang Weiyu Xu Ao Tang
+ PDF Chat	Sparse Signal Recovery by <formula formulatype="inline"> <tex Notation="TeX">${\ell_q}$</tex></formula> Minimization Under Restricted Isometry Property	2014	Chaobing Song Shu‐Tao Xia
+	A Proof of Conjecture on Restricted Isometry Property Constants $\delta _{tk}\ \left(0<t<\frac {4}{3}\right)$	2017	Rui Zhang Song Li
+	Stability in Compressed Sensing for Some Sparse Signals	2012	Sheng Zhang Peixin Ye
+	Recovery of sparsest signals via $\ell^q$-minimization	2010	Qiyu Sun
+	The Dantzig Selector: Sparse Signals Recovery via l_p-q Minimization	2023	Jie Li Chaohong Deng Baode Li
+ PDF Chat	A new hybrid $ l_p $-$ l_2 $ model for sparse solutions with applications to image processing	2021	Xuerui Gao Yanqin Bai Shu‐Cherng Fang Jian Luo Qian Li
+	Recovery of Sparse Signal and Nonconvex Minimization	2014	Jia Jing Jianjun Wang
+	New Conditions on Stable Recovery of Weighted Sparse Signals via Weighted $$l_1$$ l 1 Minimization	2017	Haiye Huo Wenchang Sun Li Xiao
+ PDF Chat	Analysis of the equivalence relationship between l 0 $l_{0}$ -minimization and l p $l_{p}$ -minimization	2017	Changlong Wang Jigen Peng
+	Exact sparse reconstruction form Vandermonde matrices	2017	Changlong Wang Feng Zhou
+	Exact Recovery for Sparse Signal via Weighted $l_1$ Minimization	2013	Shenglong Zhou Naihua Xiu Yingnan Wang Lingchen Kong
+	Recovery analysis for the ℓ<sup> <i>p</i> </sup>/ℓ<sup>1</sup> minimization problem	2024	Zhiyong Zhou
+ PDF Chat	On Recovery of Sparse Signals Via $\ell _{1}$ Minimization	2009	Tommaso Cai Guangwu Xu Jun Zhang
+	A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization	2021	Ning Bi Jun Tan Wai-Shing Tang

Works That Cite This (2)

Action	Title	Year	Authors
+	A unified recovery bound estimation for noise-aware Lq optimization model in compressed sensing	2016	Zhi‐Long Dong Xiaoqi Yang Yu‐Hong Dai
+ PDF Chat	A New Analysis for Support Recovery With Block Orthogonal Matching Pursuit	2018	Haifeng Li Jinming Wen

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	Sharp RIP bound for sparse signal and low-rank matrix recovery	2012	Tommaso Cai Anru R. Zhang
+ PDF Chat	Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices	2014	Tommaso Cai Anru R. Zhang
+	Exact Reconstruction of Sparse Signals via Nonconvex Minimization	2007	Rick Chartrand
+	Compressed sensing and best 𝑘-term approximation	2008	Albert Cohen Wolfgang Dahmen Ronald DeVore
+ PDF Chat	Iteratively reweighted least squares minimization for sparse recovery	2009	Ingrid Daubechies Ronald DeVore Massimo Fornasier C. Sınan Güntürk
+ PDF Chat	Decoding by Linear Programming	2005	Emmanuel J. Candès Terence Tao
+ PDF Chat	Recovery of Exact Sparse Representations in the Presence of Bounded Noise	2005	J.-J. Fuchs
+ PDF Chat	Stable signal recovery from incomplete and inaccurate measurements	2006	Emmanuel J. Candès Justin Romberg Terence Tao
+	A unifying analysis of projected gradient descent for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-constrained least squares	2012	Sohail Bahmani B. Raj
+ PDF Chat	The Dantzig selector: Statistical estimation when p is much larger than n	2007	Emmanuel J. Candès Terence Tao