Long Li

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math.NA2025

$ℓ_{1}^{2} - I^\cdot ℓ_{2}^{2}$ sparsity regularization for nonlinear ill-posed problems

Long Li, Liang Ding

In this study, we investigate the $∥ \cdot ∥_{ℓ_{1}}^{2} - I^\cdot ∥ \cdot ∥_{ℓ_{2}}^{2}$ sparsity regularization with $0 < I^\cdot \leq 1$ , in the context of nonlinea…

math.NA2025

On existence of a variational regularization parameter under Morozov's discrepancy principle

Liang Ding, Long Li, Weimin Han +1

Morozov's discrepancy principle is commonly adopted in Tikhonov regularization for choosing the regularization parameter. Nevertheless, for a general non-linear inverse problem, th…

ℓ12​−I^⋅ℓ22​ sparsity regularization for nonlinear ill-posed problems

On existence of a variational regularization parameter under Morozov's discrepancy principle

$ℓ_{1}^{2} - I^\cdot ℓ_{2}^{2}$ sparsity regularization for nonlinear ill-posed problems