Table 1. Variants of weighted methods.

Algorithm	Reference	Weights	Min.	Max.	Regularizer
ISTA	Daubechies et al. [2]	1	1	1	${\displaystyle \sum _{i=1}^n}\left|x_i\right|$
IRL1	Candes et al. [10]	$\frac{1}{|x_i^{k-1}|+\delta }$	0	$\frac{1}{\delta }$	${\displaystyle \sum _{i=1}^n}\text{log}\left(\right|x_i|+\delta )$
WLQ	Foucart et al. [12]	$\frac{1}{{\left(|x_i^{k-1}|+\delta \right)}^{1-p}}$	0	$\frac{1}{{\delta }^{1-p}}$	$\frac{1}{p}{\displaystyle \sum _{i=1}^n}\left(\right|x_i{|+\delta )}^p$
IRW	Wipf et al. [13]	$\frac{1+\left(\right|x_i{|+\delta )}^{p+1}}{\left(\right|x_i{|+\delta )}^{p+1}}$	0	1	${\displaystyle \sum _{i=1}^n}\left(\right|x_i|-\frac{1}{{(x_i+\delta )}^p})$