We derive strongly convergent algorithms to solve inverse problems involving elastic-net regularization. Moreover, using functional analysis techniques we provide a rigorous study of the asymptotic properties of the regularized solutions that allows to cast in a unified framework l^1, elastic-net and classical Tikhonov regularization.
Elastic-net regularization: iterative algorithms and asymptotic behavior of solutions
UMANITA', VERONICA;VILLA, SILVIA
2010-01-01
Abstract
We derive strongly convergent algorithms to solve inverse problems involving elastic-net regularization. Moreover, using functional analysis techniques we provide a rigorous study of the asymptotic properties of the regularized solutions that allows to cast in a unified framework l^1, elastic-net and classical Tikhonov regularization.
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