Search Results for author: Matthias Lanzinger

Found 6 papers, 2 papers with code

Fuzzy Datalog$^\exists$ over Arbitrary t-Norms

no code implementations5 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.

Knowledge Graphs Logical Reasoning

Homomorphism Counts for Graph Neural Networks: All About That Basis

1 code implementation13 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.

On the Power of the Weisfeiler-Leman Test for Graph Motif Parameters

no code implementations29 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 $P$.

Subgraph Counting

Incremental Updates of Generalized Hypertree Decompositions

1 code implementation21 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.

valid

On the Complexity of Inductively Learning Guarded Rules

no code implementations7 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).

Inductive logic programming

The HyperTrac Project: Recent Progress and Future Research Directions on Hypergraph Decompositions

no code implementations29 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.

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