# pix2rule: End-to-end Neuro-symbolic Rule Learning

Source: [pix2rule: End-to-end Neuro-symbolic Rule Learning](<https://www.sota2.com/research/paper/68fa6be31e209131cea30ee4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T23:59:05.045Z

Authors: Nuri Cingillioglu, Alessandra Russo

Published: 2021-06-14T15:19:06.000Z

## Abstract

Humans have the ability to seamlessly combine low-level visual input with high-level symbolic reasoning often in the form of recognising objects, learning relations between them and applying rules. Neuro-symbolic systems aim to bring a unifying approach to connectionist and logic-based principles for visual processing and abstract reasoning respectively. This paper presents a complete neuro-symbolic method for processing images into objects, learning relations and logical rules in an end-to-end fashion. The main contribution is a differentiable layer in a deep learning architecture from which symbolic relations and rules can be extracted by pruning and thresholding. We evaluate our model using two datasets: subgraph isomorphism task for symbolic rule learning and an image classification domain with compound relations for learning objects, relations and rules. We demonstrate that our model scales beyond state-of-the-art symbolic learners and outperforms deep relational neural network architectures.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2106.07487>)

[PDF](<https://arxiv.org/pdf/2106.07487.pdf>)
