Abstract
Combining symbolic and neural approaches has gained considerable attention in the AI community, as it is often argued that the strengths and weaknesses of these approaches are complementary. One such trend in the literature are weakly supervised learning techniques that employ operators from fuzzy logics. In particular, they use prior background knowledge described in such logics to help the training of a neural network from unlabeled and noisy data. By interpreting logical symbols using neural networks (or grounding them), this background knowledge can be added to regular loss functions, hence making reasoning a part of learning. In this paper, we investigate how implications from the fuzzy logic literature behave in a differentiable setting. In such a setting, we analyze the differences between the formal properties of these fuzzy implications. It turns out that various fuzzy implications, including some of the most well-known, are highly unsuitable for use in a differentiable learning setting. A further finding shows a strong imbalance between gradients driven by the antecedent and the consequent of the implication. Furthermore, we introduce a new family of fuzzy implications (called sigmoidal implications) to tackle this phenomenon. Finally, we empirically show that it is possible to use Differentiable Fuzzy Logics for semi-supervised learning, and show that sigmoidal implications outperform other choices of fuzzy implications.
Original language | English |
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Title of host publication | Proceedings of the 17th International Conference on Principles of Knowledge Representation and Reasoning (KR 2020) Special Session on KR and Machine Learning |
Editors | Digo Calvanese, Esra Erdem, Michael Thielscher |
Publisher | IJCAI Organization |
Pages | 893-903 |
Number of pages | 11 |
ISBN (Electronic) | 9780999241172 |
DOIs | |
Publication status | Published - 18 Sept 2020 |
Event | 17th International Conference on Principles of Knowledge Representation and Reasoning - Rhodes, Greece Duration: 12 Sept 2020 → 18 Sept 2020 https://kr2020.inf.unibz.it/ |
Publication series
Name | KR Proceedings: Conference on Principles of Knowledge Representation and Reasoning |
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Publisher | IJCAI Organization |
ISSN (Electronic) | 2334-1033 |
Conference
Conference | 17th International Conference on Principles of Knowledge Representation and Reasoning |
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Abbreviated title | KR 2020 |
Country/Territory | Greece |
City | Rhodes |
Period | 12/09/20 → 18/09/20 |
Internet address |