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Search: authors:"J. C. De los Reyes"

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Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

We consider a bilevel optimisation approach for parameter learning in higher-order total variation image reconstruction models. Apart from the least squares cost functional, naturally used in bilevel learning, we propose and analyse an alternative cost based on a Huber-regularised TV seminorm. Differentiability properties of the solution operator are verified and a first-order ...