mlsanityData to 14 Oct 2026

Neural-Symbolic Computing: An Effective Methodology for Principled Integration of Machine Learning and Reasoning

arXiv 1905.06088 ↗First posted 15 May 2019cs.AIcited by 151

Not on the map. Why?

Cited by 33 in LLM reasoning, but placed by its own abstract, which didn’t fit.

Abstract (arXiv)

Current advances in Artificial Intelligence and machine learning in general, and deep learning in particular have reached unprecedented impact not only across research communities, but also over popular media channels. However, concerns about interpretability and accountability of AI have been raised by influential thinkers. In spite of the recent impact of AI, several works have identified the need for principled knowledge representation and reasoning mechanisms integrated with deep learning-based systems to provide sound and explainable models for such systems. Neural-symbolic computing aims at integrating, as foreseen by Valiant, two most fundamental cognitive abilities: the ability to learn from the environment, and the ability to reason from what has been learned. Neural-symbolic computing has been an active topic of research for many years, reconciling the advantages of robust learning in neural networks and reasoning and interpretability of symbolic representation. In this paper, we survey recent accomplishments of neural-symbolic computing as a principled methodology for integrated machine learning and reasoning. We illustrate the effectiveness of the approach by outlining the main characteristics of the methodology: principled integration of neural learning with symbolic knowledge representation and reasoning allowing for the construction of explainable AI systems. The insights provided by neural-symbolic computing shed new light on the increasingly prominent need for interpretable and accountable AI systems.

Key facts. Cited by 151 papers in the map (data through 14 Oct 2026). First posted on arXiv 15 May 2019.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2020: 1; 2021: 25; 2022: 24; 2023: 15; 2024: 20; 2025: 36; 2026: 30.

151 papers.

Sort:

By area:

  1. 2025LlamaV-o1: Rethinking Step-by-step Visual Reasoning in LLMscited by 147
  2. 2025Reason-RFT: Reinforcement Fine-Tuning for Visual Reasoning of Vision Language Modelscited by 99
  3. 2021From Statistical Relational to Neurosymbolic Artificial Intelligence: a Surveycited by 72
  4. 2021A Survey on Hyperdimensional Computing aka Vector Symbolic Architectures, Part II: Applications, Cognitive Models, and Challengescited by 69
  5. 2025Look-Back: Implicit Visual Re-focusing in MLLM Reasoningcited by 55
  6. 2022Leveraging Explanations in Interactive Machine Learning: An Overviewcited by 53
  7. 2021Logic-Driven Context Extension and Data Augmentation for Logical Reasoning of Textcited by 46
  8. 2022Deep Learning with Logical Constraintscited by 44
  9. 2022Neurocompositional computing: From the Central Paradox of Cognition to a new generation of AI systemscited by 44
  10. 2021From LSAT: The Progress and Challenges of Complex Reasoningcited by 43
  11. 2021Modular Design Patterns for Hybrid Learning and Reasoning Systems: a taxonomy, patterns and use casescited by 39
  12. 2021A Survey on Neural-symbolic Learning Systemscited by 39
38 more
  1. 2022Is Neuro-Symbolic AI Meeting its Promise in Natural Language Processing? A Structured Reviewcited by 38
  2. 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcutscited by 37
  3. 2021Symbols as a Lingua Franca for Bridging Human-AI Chasm for Explainable and Advisable AI Systemscited by 36
  4. 2022Towards Data-and Knowledge-Driven Artificial Intelligence: A Survey on Neuro-Symbolic Computingcited by 35
  5. 2022NeuPSL: Neural Probabilistic Soft Logiccited by 34
  6. 2021EXplainable Neural-Symbolic Learning (X-NeSyL) methodology to fuse deep learning representations with expert knowledge graphs: the MonuMAI cultural heritage use casecited by 30
  7. 2023Logic-induced Diagnostic Reasoning for Semi-supervised Semantic Segmentationcited by 29
  8. 2022HAKE: A Knowledge Engine Foundation for Human Activity Understandingcited by 28
  9. 2021Differentiable Inductive Logic Programming for Structured Examplescited by 26
  10. 2023Neural Probabilistic Logic Programming in Discrete-Continuous Domainscited by 25
  11. 2024Towards Cognitive AI Systems: a Survey and Prospective on Neuro-Symbolic AIcited by 24
  12. 2021ProTo: Program-Guided Transformer for Program-Guided Taskscited by 21
  13. 2022Neuro-Symbolic Verification of Deep Neural Networkscited by 21
  14. 2021Differentiable Logic Machinescited by 18
  15. 2021Injecting Knowledge in Data-driven Vehicle Trajectory Predictorscited by 18
  16. 2023Grounded Object Centric Learningcited by 17
  17. 2023LOGICSEG: Parsing Visual Semantics with Neural Logic Learning and Reasoningcited by 17
  18. 2021Neuro-Symbolic Forward Reasoningcited by 16
  19. 2023Symbol-LLM: Leverage Language Models for Symbolic System in Visual Human Activity Reasoningcited by 16
  20. 2024SymbolicAI: A framework for logic-based approaches combining generative models and solverscited by 16
  21. 2024Softened Symbol Grounding for Neuro-symbolic Systemscited by 16
  22. 2024Visual Knowledge in the Big Model Era: Retrospect and Prospectcited by 16
  23. 2023Logic of Differentiable Logics: Towards a Uniform Semantics of DLcited by 15
  24. 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyondcited by 15
  25. 2022VQA and Visual Reasoning: An Overview of Recent Datasets, Methods and Challengescited by 14
  26. 2023Scalable Neural-Probabilistic Answer Set Programmingcited by 14
  27. 2022Neuro-Symbolic Learning of Answer Set Programs from Raw Datacited by 12
  28. 2022Greybox XAI: a Neural-Symbolic learning framework to produce interpretable predictions for image classificationcited by 12
  29. 2022DEPTWEET: A Typology for Social Media Texts to Detect Depression Severitiescited by 12
  30. 2023Injecting Logical Constraints into Neural Networks via Straight-Through Estimatorscited by 12
  31. 2024The Role of Foundation Models in Neuro-Symbolic Learning and Reasoningcited by 12
  32. 2025A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfactioncited by 11
  33. 2021Faster-LTN: a neuro-symbolic, end-to-end object detection architecturecited by 10
  34. 2024Learning with Logical Constraints but without Shortcut Satisfactioncited by 10
  35. 2022Symbolic Visual Reinforcement Learning: A Scalable Framework with Object-Level Abstraction and Differentiable Expression Searchcited by 9
  36. 2024On the Hardness of Probabilistic Neurosymbolic Learningcited by 9
  37. 2021Interpretable Model-based Hierarchical Reinforcement Learning using Inductive Logic Programmingcited by 8
  38. 2021SLASH: Embracing Probabilistic Circuits into Neural Answer Set Programmingcited by 8

50 most cited of 151 All 151 (JSON)