4 papers
Linear convergence of a one-cut conditional gradient method for total variation regularization
Giacomo Cristinelli, José A. Iglesias, José A. Iglesias +1
We introduce a fully-corrective generalized conditional gradient method for convex minimization problems involving total variation regularization on multidimensional domains. It re…
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…
Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes
Haifan Chen, Guozhi Dong, José A. Iglesias +2
This paper contributes to the exploration of a recently introduced computational paradigm known as second-order flows, which are characterized by novel dissipative hyperbolic parti…
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…