| Vol-2986 urn:nbn:de:0074-2986-8 Copyright © 2021 for the individual papers by the papers' authors. Copyright © 2021 for the volume as a collection by its editors. This volume and its papers are published under the Creative Commons License Attribution 4.0 International (CC BY 4.0).

# NeSy 2021
Neural-Symbolic Learning and Reasoning

### Proceedings of the 15th International Workshop on Neural-Symbolic Learning and Reasoning
as part of the 1st International Joint Conference on Learning & Reasoning (IJCLR 2021)

### Virtual conference, October 25-27, 2021.

Edited by

### Artur d'Avila Garcez ♠
Ernesto Jiménez-Ruiz ♠ ♣

♠ City, University of London, UK
♣ SIRIUS, University of Oslo, Norway

## Table of Contents

- Preface
  Summary: There were 19 papers submitted for peer-review to this workshop. Out of these, 14 papers were accepted for this volume.

- A New Concept for Explaining Graph Neural Networks (short paper) 1-5
  Anna Himmelhuber, Sonja Zillner, Stephan Grimm, Martin Ringsquandl, Mitchell Joblin, Thomas Runkler
- Neuro-Symbolic Constraint Programming for Structured Prediction (short paper) 6-14
  Paolo Dragone, Stefano Teso, Andrea Passerini
- pix2rule: End-to-end Neuro-symbolic Rule Learning 15-56
  Nuri Cingillioglu, Alessandra Russo
- Zero-shot Multi-Domain Dialog State Tracking Using Prescriptive Rules 57-66
  Edgar Altszyler, Pablo Brusco, Nikoletta Basiou, John Byrnes, Dimitra Vergyri
- Backpropagating through Markov Logic Networks 67-81
  Patrick Betz, Mathias Niepert, Pasquale Minervini, Heiner Stuckenschmidt
- Elite BackProp: Training Sparse Interpretable Neurons 82-93
  Theodoros Kasioumis, Joe Townsend, Hiroya Inakoshi
- Neural Semirings 94-103
  Pedro Zuidberg Dos Martires
- Explainable Diabetic Retinopathy Classification Based on Neural-Symbolic Learning 104-114
  Se-In Jang, Michaël J. A. Girard, Alexandre H. Thiery
- Extending Real Logic with Aggregate Functions 115-125
  Samy Badreddine, Michael Spranger
- An Insect-Inspired Randomly, Weighted Neural Network with Random Fourier Features For Neuro-Symbolic Relational Learning 126-142
  Jinyung Hong, Theodore P. Pavlic
- Using Neural Networks to Control Glut in the Active Logic Machine 143-153
  Justin D. Brody, Bobby Austin, Omar Khater, Christopher J. Maxey, Matthew D. Goldberg, Timothy Clausner, Darsana Josyula, Don Perlis
- Learning Arithmetic from Handwritten Images with the Aid of Symbols 154-164
  Daniel L. Silver, Ahmed Galila
- RecT: A Recursive Transformer Architecture for Generalizable Mathematical Reasoning 165-175
  Rohan Deshpande, Jerry Chen, Isabelle Lee
- Coherent and Consistent Relational Transfer Learning with Auto-encoders 176-192
  Harald Strömfelt, Luke Dickens, Artur d'Avila Garcez, Alessandra Russo

2021-10-09: submitted by Ernesto Jimenez-Ruiz, metadata incl. bibliographic data published under Creative Commons CC0
2021-10-17: published on CEUR Workshop Proceedings (CEUR-WS.org, ISSN 1613-0073) |valid HTML5|