Visual Perceptual to Conceptual First-Order Rule Learning Networks
On the map: LLM reasoning → Multimodal reasoning
Abstract (arXiv)
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 symbolic data, learning rules from image data without supporting image labels and automatically inventing predicates remains a challenge. In this paper, we tackle these inductive rule learning problems from images with a framework called γILP, which provides a fully differentiable pipeline from image constant substitution to rule structure induction. Extensive experiments demonstrate that γILP achieves strong performance not only on classical symbolic relational datasets but also on relational image data and pure image datasets, such as Kandinsky patterns.
Key facts. No citing papers in the map yet (data through 13 Oct 2026). Placed in Multimodal reasoning, one of 17 directions in LLM reasoning. Builds on 27 of its 52 references that are in the map. First posted on arXiv 9 Apr 2026.
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27 of 52 references.
References · 27
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15 more
- 2023LogiCoT: Logical Chain-of-Thought Instruction-Tuningcited by 31
- 2021Techniques for Symbol Grounding with SATNetcited by 24
- 2024MIRAGE: Evaluating and Explaining Inductive Reasoning Process in Language Modelscited by 17
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- 2025Predicate Renaming via Large Language Modelscited by 2
- 2026Differentiable Rule Induction from Raw Sequence Inputscited by 2
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- 2025Abductive Logical Rule Induction by Bridging Inductive Logic Programming and Multimodal Large Language Models
- 2026Think-Verify-Revise: Neuro-Symbolic Visual Reasoning with Vision-Language Models and Dynamic Logic Tensor Networks
- 2025Symbolic Rule Extraction from Attention-Guided Sparse Representations in Vision Transformers
- 2025Concept-RuleNet: Grounded Multi-Agent Neurosymbolic Reasoning in Vision Language Models
- 2026A Foundation Model for Zero-Shot Logical Rule Induction
- 2025Efficient rule induction by ignoring pointless rules
- 2023V-LoL: A Diagnostic Dataset for Visual Logical Learning
- 2026Symbolic Grounding Reveals Representational Bottlenecks in Abstract Visual Reasoning