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math.OC2020★ 5 cited
Parameter learning and fractional differential operators: application in image regularization and decomposition
Sören Bartels, Nico Weber
In this paper, we focus on learning optimal parameters for PDE-based image regularization and decomposition. First we learn the regularization parameter and the differential operat…
math.OC2018
Numerical approximation of optimal convex shapes
Sören Bartels, Gerd Wachsmuth
This article investigates the numerical approximation of shape optimization problems with PDE constraint on classes of convex domains. The convexity constraint provides a compactne…