4 citations · 8 across the 7 of their papers we have counts for
7 papers
Neuro-Relational Programs: Unifying Queries and Neural Computation over Structured Data
Arie Soeteman, Balder ten Cate, Maurice Funk +3
The conventional approach to deep learning over relational databases applies neural models, such as Graph Neural Networks (GNNs), to a graph representation of the database. Recent…
Expressive Power of Deep Homomorphism Networks over Relational Databases
Moritz Schönherr, Balder ten Cate, Maurice Funk +3
The expressive limitations of message-passing Graph Neural Networks (GNNs) have motivated a wide range of more powerful graph learning architectures. We advocate Deep Homomorphism…
Density Measures
Moritz Schönherr, Friedemann Schuricht
The paper treats density measures as typical examples of finitely additive measures in . We study their structure and derive basic properties. In addition, estimates…
Rational Q-systems at Root of Unity I. Closed Chains
Jue Hou, Yunfeng Jiang, Yuan Miao
The solution of Bethe ansatz equations for XXZ spin chain with the parameter being a root of unity is infamously subtle. In this work, we develop the rational -system for th…
A theory of traces and the divergence theorem
Moritz Schönherr, Friedemann Schuricht
We introduce a general approach to traces that we consider as linear continuous functionals on some function space where we focus on some special choices for that space. This leads…
A General Theorem of Gauß Using Pure Measures
Moritz Schönherr, Friedemann Schuricht
This paper shows that finitely additive measures occur naturally in very general Divergence Theorems. The main results are two such theorems. The first proves the existence of pure…
Pure Measures, Density Measures and the Dual of L-infinity
Moritz Schönherr, Friedemann Schuricht
Measures play an important role in the characterisation of various function spaces. In this paper, the structure of density measures will be investigated. These are elements of the…