scholarly journals Improved iteratively reweighted least squares algorithms for sparse recovery problem

2022 ◽  
Author(s):  
Yufeng Liu ◽  
Zhibin Zhu ◽  
Benxin Zhang
Keyword(s):  
Least Squares ◽  
Sparse Recovery ◽  
Iteratively Reweighted Least Squares ◽  
Recovery Problem

scholarly journals Iteratively reweighted least squares minimization for sparse recovery

2010 ◽  
Vol 63 (1) ◽  
pp. 1-38 ◽  
Author(s):  
Ingrid Daubechies ◽  
Ronald DeVore ◽  
Massimo Fornasier ◽  
C. Si̇nan Güntürk
Keyword(s):  
Least Squares ◽  
Sparse Recovery ◽  
Iteratively Reweighted Least Squares ◽  
Least Squares Minimization

scholarly journals Analytical quality assessment of iteratively reweighted least-squares (IRLS) method

2014 ◽  
Vol 20 (1) ◽  
pp. 132-141 ◽  
Author(s):  
Jianfeng Guo
Keyword(s):  
Least Squares ◽  
Order Approximation ◽  
Diagnostic Tools ◽  
Iteratively Reweighted Least Squares ◽  
First Order ◽  
Iterative Reweighting ◽  
First Order Approximation ◽  
Detectable Bias ◽  
Theoretical Analyses ◽  
Exact Analytical Method

The iteratively reweighted least-squares (IRLS) technique has been widely employed in geodetic and geophysical literature. The reliability measures are important diagnostic tools for inferring the strength of the model validation. An exact analytical method is adopted to obtain insights on how much iterative reweighting can affect the quality indicators. Theoretical analyses and numerical results show that, when the downweighting procedure is performed, (1) the precision, all kinds of dilution of precision (DOP) metrics and the minimal detectable bias (MDB) will become larger; (2) the variations of the bias-to-noise ratio (BNR) are involved, and (3) all these results coincide with those obtained by the first-order approximation method.

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization

2013 ◽  
Vol 51 (2) ◽  
pp. 927-957 ◽  
Author(s):  
Ming-Jun Lai ◽  
Yangyang Xu ◽  
Wotao Yin
Keyword(s):  
Least Squares ◽  
Iteratively Reweighted Least Squares
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