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Recent work on neuro-symbolic inductive logic programming has led to promising approaches that can learn explanatory rules from noisy, real-world data. While some proposals approximate logical operators with differentiable operators from…

Artificial Intelligence · Computer Science 2021-12-08 Prithviraj Sen , Breno W. S. R. de Carvalho , Ryan Riegel , Alexander Gray

We propose an efficient interpretable neuro-symbolic model to solve Inductive Logic Programming (ILP) problems. In this model, which is built from a set of meta-rules organised in a hierarchical structure, first-order rules are invented by…

Machine Learning · Computer Science 2021-12-28 Claire Glanois , Xuening Feng , Zhaohui Jiang , Paul Weng , Matthieu Zimmer , Dong Li , Wulong Liu

Learning rules plays a crucial role in deep learning, particularly in explainable artificial intelligence and enhancing the reasoning capabilities of large language models. While existing rule learning methods are primarily designed for…

Artificial Intelligence · Computer Science 2026-04-10 Kun Gao , Davide Soldà , Thomas Eiter , Katsumi Inoue

This paper proposes a new paradigm for learning a set of independent logical rules in disjunctive normal form as an interpretable model for classification. We consider the problem of learning an interpretable decision rule set as training a…

Machine Learning · Computer Science 2021-03-15 Litao Qiao , Weijia Wang , Bill Lin

Our goal is to $\textit{efficiently}$ discover a compact set of temporal logic rules to explain irregular events of interest. We introduce a neural-symbolic rule induction framework within the temporal point process model. The negative…

Machine Learning · Computer Science 2024-06-07 Yang Yang , Chao Yang , Boyang Li , Yinghao Fu , Shuang Li

What does it mean to understand the world? Contemporary world models often operationalize understanding as accurate future prediction in latent or observation space. Developmental cognitive science, however, suggests a different view: human…

Machine Learning · Computer Science 2026-05-06 Doojin Baek , Gyubin Lee , Junyeob Baek , Hosung Lee , Sungjin Ahn

Neural symbolic processing aims to combine the generalization of logical learning approaches and the performance of neural networks. The Neural Theorem Proving (NTP) model by Rocktaschel et al (2017) learns embeddings for concepts and…

Machine Learning · Computer Science 2019-06-18 Michiel de Jong , Fei Sha

We propose a novel framework seamlessly providing key properties of both neural nets (learning) and symbolic logic (knowledge and reasoning). Every neuron has a meaning as a component of a formula in a weighted real-valued logic, yielding a…

Learning first-order logic programs (LPs) from relational facts which yields intuitive insights into the data is a challenging topic in neuro-symbolic research. We introduce a novel differentiable inductive logic programming (ILP) model,…

Artificial Intelligence · Computer Science 2022-04-29 Kun Gao , Katsumi Inoue , Yongzhi Cao , Hanpin Wang

Combining symbolic human knowledge with neural networks provides a rule-based ante-hoc explanation of the output. In this paper, we propose feature extracting functions for integrating human knowledge abstracted as logic rules into the…

Artificial Intelligence · Computer Science 2021-04-13 Shashank Gupta , Antonio Robles-Kelly , Mohamed Reda Bouadjenek

Formally verifying the correctness of mathematical proofs is more accessible than ever, however, the learning curve remains steep for many of the state-of-the-art interactive theorem provers (ITP). Deriving the most appropriate subsequent…

Logic in Computer Science · Computer Science 2024-11-05 Liao Zhang , David M. Cerna , Cezary Kaliszyk

Traditional neural networks have an impressive classification performance, but what they learn cannot be inspected, verified or extracted. Neural Logic Networks on the other hand have an interpretable structure that enables them to learn a…

Machine Learning · Computer Science 2026-01-26 Vincent Perreault , Katsumi Inoue , Richard Labib , Alain Hertz

Large language models (LLMs) have shown incredible performance in completing various real-world tasks. The current paradigm of knowledge learning for LLMs is mainly based on learning from examples, in which LLMs learn the internal rule…

Computation and Language · Computer Science 2024-12-17 Wenkai Yang , Yankai Lin , Jie Zhou , Ji-Rong Wen

Solving Inductive Logic Programming (ILP) problems with neural networks is a key challenge in Neural-Symbolic Ar- tificial Intelligence (AI). While most research has focused on designing novel network architectures for individual prob-…

Artificial Intelligence · Computer Science 2025-11-18 Bowen He , Xiaoan Xu , Alper Kamil Bozkurt , Vahid Tarokh , Juncheng Dong

Rule-based decision models are attractive due to their interpretability. However, existing rule induction methods often result in long and consequently less interpretable rule models. This problem can often be attributed to the lack of…

Machine Learning · Statistics 2022-07-29 Remy Kusters , Yusik Kim , Marine Collery , Christian de Sainte Marie , Shubham Gupta

Large-scale knowledge graphs provide structured representations of human knowledge. However, as it is impossible to collect all knowledge, knowledge graphs are usually incomplete. Reasoning based on existing facts paves a way to discover…

Artificial Intelligence · Computer Science 2022-07-18 Yuliang Wei , Haotian Li , Guodong Xin , Yao Wang , Bailing Wang

The capability of making interpretable and self-explanatory decisions is essential for developing responsible machine learning systems. In this work, we study the learning to explain problem in the scope of inductive logic programming…

Artificial Intelligence · Computer Science 2020-02-20 Yuan Yang , Le Song

In inductive learning of a broad concept, an algorithm should be able to distinguish concept examples from exceptions and noisy data. An approach through recursively finding patterns in exceptions turns out to correspond to the problem of…

Logic in Computer Science · Computer Science 2017-07-11 Farhad Shakerin , Elmer Salazar , Gopal Gupta

Deep reinforcement learning (RL) methods often require many trials before convergence, and no direct interpretability of trained policies is provided. In order to achieve fast convergence and interpretability for the policy in RL, we…

Understanding the behavior of a trained network and finding explanations for its outputs is important for improving the network's performance and generalization ability, and for ensuring trust in automated systems. Several approaches have…

Computation and Language · Computer Science 2018-08-30 Madhumita Sushil , Simon Šuster , Walter Daelemans
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