35 citations · 180 across the 39 of their papers we have counts for
5 papers · 1 filter
Solving differential Riccati equations: A nonlinear space-time method using tensor trains
Tobias Breiten, Sergey Dolgov, Martin Stoll
Differential algebraic Riccati equations are at the heart of many applications in control theory. They are time-depent, matrix-valued, and in particular nonlinear equations that re…
A literature survey of matrix methods for data science
Martin Stoll
Efficient numerical linear algebra is a core ingredient in many applications across almost all scientific and industrial disciplines. With this survey we want to illustrate that nu…
Optimization of a partial differential equation on a complex network
Martin Stoll, Max Winkler
Differential equations on metric graphs can describe many phenomena in the physical world but also the spread of information on social media. To efficiently compute the solution is…
Improved penalty algorithm for Mixed Integer PDE Constrained Optimization Problems
Dominik Garmatter, Margherita Porcelli, Francesco Rinaldi +1
Optimal control problems including partial differential equation (PDE) as well as integer constraints merge the combinatorial difficulties of integer programming and the challenges…
Semi-Supervised Classification on Non-Sparse Graphs Using Low-Rank Graph Convolutional Networks
Dominik Alfke, Martin Stoll
Graph Convolutional Networks (GCNs) have proven to be successful tools for semi-supervised learning on graph-based datasets. For sparse graphs, linear and polynomial filter functio…