Learning Logical Rules using Minimum Message Length

Fuente: arXiv
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Hauptverfasser: Sharma, Ruben, Dumančić, Sebastijan, King, Ross D., Cropper, Andrew
Format: Preprint
Veröffentlicht: 2025
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author Sharma, Ruben
Dumančić, Sebastijan
King, Ross D.
Cropper, Andrew
author_facet Sharma, Ruben
Dumančić, Sebastijan
King, Ross D.
Cropper, Andrew
contents Unifying probabilistic and logical learning is a key challenge in AI. We introduce a Bayesian inductive logic programming approach that learns minimum message length hypotheses from noisy data. Our approach balances hypothesis complexity and data fit through priors, which favour more general programs, and a likelihood, which favours accurate programs. Our experiments on several domains, including game playing and drug design, show that our method significantly outperforms previous methods, notably those that learn minimum description length programs. Our results also show that our approach is data-efficient and insensitive to example balance, including the ability to learn from exclusively positive examples.
format Preprint
id arxiv_https___arxiv_org_abs_2508_06230
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning Logical Rules using Minimum Message Length
Sharma, Ruben
Dumančić, Sebastijan
King, Ross D.
Cropper, Andrew
Artificial Intelligence
Unifying probabilistic and logical learning is a key challenge in AI. We introduce a Bayesian inductive logic programming approach that learns minimum message length hypotheses from noisy data. Our approach balances hypothesis complexity and data fit through priors, which favour more general programs, and a likelihood, which favours accurate programs. Our experiments on several domains, including game playing and drug design, show that our method significantly outperforms previous methods, notably those that learn minimum description length programs. Our results also show that our approach is data-efficient and insensitive to example balance, including the ability to learn from exclusively positive examples.
title Learning Logical Rules using Minimum Message Length
topic Artificial Intelligence
url https://arxiv.org/abs/2508.06230