Brian Sweeney

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math.NA2024

Parameter Selection by GCV and a $I ¨ ^{2}$ test within Iterative Methods for $ℓ_{1}$ -regularized Inverse Problems

Brian Sweeney, Rosemary Renaut, Malena EspaÃ±ol

$ℓ_{1}$ regularization is used to preserve edges or enforce sparsity in a solution to an inverse problem. We investigate the Split Bregman and the Majorization-Minimization iterat…

math.NA2024

Efficient Decomposition-Based Algorithms for $ℓ_{1}$ -Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices

Brian Sweeney, Malena I. EspaÃ±ol, Rosemary Renaut

We consider an $ℓ_{1}$ -regularized inverse problem where both the forward and regularization operators have a Kronecker product structure. By leveraging this structure, a joint de…

Parameter Selection by GCV and a I¨2 test within Iterative Methods for ℓ1​-regularized Inverse Problems

Efficient Decomposition-Based Algorithms for ℓ1​-Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices

Parameter Selection by GCV and a $I ¨ ^{2}$ test within Iterative Methods for $ℓ_{1}$ -regularized Inverse Problems

Efficient Decomposition-Based Algorithms for $ℓ_{1}$ -Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices