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math.OC2025
Notes on the discretization of TV-norm regularized inverse potential problems
L Baratchart, D P Hardin, C Villalobos-Guillén
We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valed measures, comp…
math.OC2018
Inverse Potential Problems for Divergence of Measures with Total Variation Regularization
Laurent Baratchart, Cristobal Villalobos Guillen, Douglas P. Hardin +2
We study inverse problems for the Poisson equation with source term the divergence of an -valued measure, that is, the potential satisfies $$ ΔΦ= \text{div} \bold…