105 citations · 761 across the 48 of their papers we have counts for
4 papers · 2 filters
Monotone and nonmonotone linearized block coordinate descent methods for nonsmooth composite optimization problems
Yassine Nabou, Lahcen El Bourkhissi, Sebastian U. Stich +1
In this paper, we introduce both monotone and nonmonotone variants of LiBCoD, a \textbf{Li}nearized \textbf{B}lock \textbf{Co}ordinate \textbf{D}escent method for solving composite…
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…
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…
Point source localisation with unbalanced optimal transport
Tuomo Valkonen
Replacing the quadratic proximal penalty familiar from Hilbert spaces by an unbalanced optimal transport distance, we develop forward-backward type optimisation methods in spaces o…