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Main Authors: Roth, Stephen, Baur, Lennart, Boer, Derian, Kramer, Stefan
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.14569
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author Roth, Stephen
Baur, Lennart
Boer, Derian
Kramer, Stefan
author_facet Roth, Stephen
Baur, Lennart
Boer, Derian
Kramer, Stefan
contents The goal of neuro-symbolic AI is to integrate symbolic and subsymbolic AI approaches, to overcome the limitations of either. Prominent systems include Logic Tensor Networks (LTN) or DeepProbLog, which offer neural predicates and end-to-end learning. The versatility of systems like LTNs and DeepProbLog, however, makes them less efficient in simpler settings, for instance, for discriminative machine learning, in particular in domains with many constants. Therefore, we follow a different approach: We propose to enhance symbolic machine learning schemes by giving them access to neural embeddings. In the present paper, we show this for TILDE and embeddings of constants used by TILDE in similarity predicates. The approach can be fine-tuned by further refining the embeddings depending on the symbolic theory. In experiments in three real-world domain, we show that this simple, yet effective, approach outperforms all other baseline methods in terms of the F1 score. The approach could be useful beyond this setting: Enhancing symbolic learners in this way could be extended to similarities between instances (effectively working like kernels within a logical language), for analogical reasoning, or for propositionalization.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14569
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enhancing Symbolic Machine Learning by Subsymbolic Representations
Roth, Stephen
Baur, Lennart
Boer, Derian
Kramer, Stefan
Artificial Intelligence
Logic in Computer Science
The goal of neuro-symbolic AI is to integrate symbolic and subsymbolic AI approaches, to overcome the limitations of either. Prominent systems include Logic Tensor Networks (LTN) or DeepProbLog, which offer neural predicates and end-to-end learning. The versatility of systems like LTNs and DeepProbLog, however, makes them less efficient in simpler settings, for instance, for discriminative machine learning, in particular in domains with many constants. Therefore, we follow a different approach: We propose to enhance symbolic machine learning schemes by giving them access to neural embeddings. In the present paper, we show this for TILDE and embeddings of constants used by TILDE in similarity predicates. The approach can be fine-tuned by further refining the embeddings depending on the symbolic theory. In experiments in three real-world domain, we show that this simple, yet effective, approach outperforms all other baseline methods in terms of the F1 score. The approach could be useful beyond this setting: Enhancing symbolic learners in this way could be extended to similarities between instances (effectively working like kernels within a logical language), for analogical reasoning, or for propositionalization.
title Enhancing Symbolic Machine Learning by Subsymbolic Representations
topic Artificial Intelligence
Logic in Computer Science
url https://arxiv.org/abs/2506.14569