Penalty name	Lasso	Group lasso	Fused lasso	Generized fused lasso
$w_{j}^{(a d)}$	$w_{j i}^{a d} = {\| {\overset{⌢}{β}}_{j i} \|}^{- 1}$	$w_{j i}^{a d} = {‖ {\overset{⌢}{β}}_{j i} ‖}_{2}^{- 1}$	$w_{j (i - 1)}^{a d} = {\| {\overset{⌢}{β}}_{j i} - {\overset{⌢}{β}}_{j (i - 1)} \|}^{- 1}$	$w_{j (i l)}^{a d} = {\| {\overset{⌢}{β}}_{j i} - {\overset{⌢}{β}}_{j l} \|}^{- 1}$