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math.NA2025
Introduction to Regularization and Learning Methods for Inverse Problems
Danielle Bednarski, Tim Roith
These lecture notes evolve around mathematical concepts arising in inverse problems. We start by introducing inverse problems through examples such as differentiation, deconvolutio…
math.NA2022
Inverse Scale Space Iterations for Non-Convex Variational Problems: The Continuous and Discrete Case
Danielle Bednarski, Jan Lellmann
Non-linear filtering approaches allow to obtain decompositions of images with respect to a non-classical notion of scale, induced by the choice of a convex, absolutely one-homogene…
math.NA2021
Inverse Scale Space Iterations for Non-Convex Variational Problems Using Functional Lifting
Danielle Bednarski, Jan Lellmann
Non-linear filtering approaches allow to obtain decompositions of images with respect to a non-classical notion of scale. The associated inverse scale space flow can be obtained us…