no code implementations • 6 May 2024 • Hinrikus Wolf, Luis Böttcher, Sarra Bouchkati, Philipp Lutat, Jens Breitung, Bastian Jung, Tina Möllemann, Viktor Todosijević, Jan Schiefelbein-Lach, Oliver Pohl, Andreas Ulbig, Martin Grohe
In the course of the energy transition, the expansion of generation and consumption will change, and many of these technologies, such as PV systems, electric cars and heat pumps, will influence the power flow, especially in the distribution grids.
no code implementations • 29 Aug 2023 • Hinrikus Wolf, Luca Oeljeklaus, Pascal Kühner, Martin Grohe
Grohe (PODS 2020) proposed the theoretical foundations for using homomorphism counts in machine learning on graph level as well as node level tasks.
no code implementations • 14 Apr 2022 • Luis Böttcher, Hinrikus Wolf, Bastian Jung, Philipp Lutat, Marc Trageser, Oliver Pohl, Andreas Ulbig, Martin Grohe
In our approach, we demonstrate the development of a framework that uses graph neural networks to learn the physical constraints of the power flow.
1 code implementation • 17 Feb 2021 • Jan Tönshoff, Martin Ritzert, Hinrikus Wolf, Martin Grohe
As the theoretical basis for our approach, we prove a theorem stating that the expressiveness of CRaWl is incomparable with that of the Weisfeiler Leman algorithm and hence with graph neural networks.
Ranked #1 on Graph Classification on REDDIT-B
2 code implementations • 20 May 2020 • Tobias Schumacher, Hinrikus Wolf, Martin Ritzert, Florian Lemmerich, Jan Bachmann, Florian Frantzen, Max Klabunde, Martin Grohe, Markus Strohmaier
We systematically evaluate the (in-)stability of state-of-the-art node embedding algorithms due to randomness, i. e., the random variation of their outcomes given identical algorithms and graphs.
1 code implementation • 18 Sep 2019 • Jan Toenshoff, Martin Ritzert, Hinrikus Wolf, Martin Grohe
Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems.