442 citations
- University of AntwerpBE597 papers
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4 papers · 2 filters
Proximal methods for point source localisation
Tuomo Valkonen
Point source localisation is generally modelled as a Lasso-type problem on measures. However, optimisation methods in non-Hilbert spaces, such as the space of Radon measures, are m…
A nonsmooth primal-dual method with interwoven PDE constraint solver
Bjørn Jensen, Tuomo Valkonen
We introduce an efficient first-order primal-dual method for the solution of nonsmooth PDE-constrained optimization problems. We achieve this efficiency through not solving the PDE…
Linearly convergent bilevel optimization with single-step inner methods
Ensio Suonperä, Tuomo Valkonen
We propose a new approach to solving bilevel optimization problems, intermediate between solving full-system optimality conditions with a Newton-type approach, and treating the inn…
Optimizing Connected Components Graph Partitioning With Minimum Size Constraints Using Integer Programming and Spectral Clustering Techniques
Mishelle Cordero, Andrés Miniguano-Trujillo, Diego Recalde +2
In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of parti…