3 papers
math.OC2025
Linear convergence of a one-cut conditional gradient method for total variation regularization
Giacomo Cristinelli, José A. Iglesias, Daniel Walter
We introduce a fully-corrective generalized conditional gradient method for convex minimization problems involving total variation regularization on multidimensional domains. It re…
math.FA2024
On extremal points for some vectorial total variation seminorms
Kristian Bredies, José A. Iglesias, Daniel Walter
We consider the set of extremal points of the generalized unit ball induced by gradient total variation seminorms for vector-valued functions on bounded Euclidean domains. These ar…
math.OC2023
Conditional gradients for total variation regularization with PDE constraints: a graph cuts approach
Giacomo Cristinelli, José A. Iglesias, Daniel Walter
Total variation regularization has proven to be a valuable tool in the context of optimal control of differential equations. This is particularly attributed to the observation that…