no code implementations • 5 Mar 2024 • Matthias Lanzinger, Stefano Sferrazza, Przemysław A. Wałęga, Georg Gottlob
One of the main challenges in the area of Neuro-Symbolic AI is to perform logical reasoning in the presence of both neural and symbolic data.
1 code implementation • 13 Feb 2024 • Emily Jin, Michael Bronstein, Ismail Ilkan Ceylan, Matthias Lanzinger
In this work, we show that both of these approaches are sub-optimal in a certain sense and argue for a more fine-grained approach, which incorporates the homomorphism counts of all structures in the "basis" of the target pattern.
no code implementations • 29 Sep 2023 • Matthias Lanzinger, Pablo Barceló
A central focus of research in this field revolves around determining the least dimensionality $k$, for which $k$WL can discern graphs with different number of occurrences of a pattern graph $P$.
1 code implementation • 21 Sep 2022 • Georg Gottlob, Matthias Lanzinger, Davide Mario Longo, Cem Okulmus
As decompositions can be reused to solve CSPs with the same constraint scopes, investing resources in computing good decompositions is beneficial, even though the computation itself is hard.
no code implementations • 7 Oct 2021 • Andrei Draghici, Georg Gottlob, Matthias Lanzinger
We investigate the computational complexity of mining guarded clauses from clausal datasets through the framework of inductive logic programming (ILP).
no code implementations • 29 Dec 2020 • Georg Gottlob, Matthias Lanzinger, Davide Mario Longo, Cem Okulmus, Reinhard Pichler
Constraint Satisfaction Problems (CSPs) play a central role in many applications in Artificial Intelligence and Operations Research.