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math.OC2025
Forward-backward splitting in bilaterally bounded Alexandrov spaces
Heikki von Koch, Tuomo Valkonen
With the goal of solving optimisation problems on non-Riemannian manifolds, such as geometrical surfaces with sharp edges, we develop and prove the convergence of a forward-backwar…
math.OC2025
Multigrid methods for total variation
Felipe Guerra, Tuomo Valkonen
Based on a nonsmooth coherence condition, we construct and prove the convergence of a forward-backward splitting method that alternates between steps on a fine and a coarse grid. O…