mlsanityData to 14 Oct 2026

Neuro-Symbolic AI: Explainability, Challenges, and Future Trends

arXiv 2411.04383 ↗First posted 7 Nov 2024cs.AI cs.LGcited by 10

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Abstract (arXiv)

Explainability is an essential reason limiting the application of neural networks in many vital fields. Although neuro-symbolic AI hopes to enhance the overall explainability by leveraging the transparency of symbolic learning, the results are less evident than imagined. This article proposes a classification for explainability by considering both model design and behavior of 191 studies from 2013, focusing on neuro-symbolic AI, hoping to inspire scholars who want to understand the explainability of neuro-symbolic AI. Precisely, we classify them into five categories by considering whether the form of bridging the representation differences is readable as their design factor, if there are representation differences between neural networks and symbolic logic learning, and whether a model decision or prediction process is understandable as their behavior factor: implicit intermediate representations and implicit prediction, partially explicit intermediate representations and partially explicit prediction, explicit intermediate representations or explicit prediction, explicit intermediate representation and explicit prediction, unified representation and explicit prediction. We also analyzed the research trends and three significant challenges: unified representations, explainability and transparency, and sufficient cooperation from neural networks and symbolic learning. Finally, we put forward suggestions for future research in three aspects: unified representations, enhancing model explainability, ethical considerations, and social impact.

Key facts. Cited by 10 papers in the map (data through 14 Oct 2026). Builds on 114 of its 186 references that are in the map. First posted on arXiv 7 Nov 2024.

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114 of 186 references.

References · 114

  1. 2023Logic-LM: Empowering Large Language Models with Symbolic Solvers for Faithful Logical Reasoningcited by 391
  2. 2019The Neuro-Symbolic Concept Learner: Interpreting Scenes, Words, and Sentences From Natural Supervisioncited by 372
  3. 2020Discovering Symbolic Models from Deep Learning with Inductive Biasescited by 344
  4. 2019Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradientscited by 309
  5. 2018Neural-Symbolic VQA: Disentangling Reasoning from Vision and Language Understandingcited by 304
  6. 2017A Semantic Loss Function for Deep Learning with Symbolic Knowledgecited by 270
  7. 2019Deep Learning for Symbolic Mathematicscited by 270
  8. 2020COMET-ATOMIC 2020: On Symbolic and Neural Commonsense Knowledge Graphscited by 254
  9. 2018PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Networkcited by 210
  10. 2021Neural Symbolic Regression that Scalescited by 192
  11. 2018Formal Security Analysis of Neural Networks using Symbolic Intervalscited by 185
  12. 2017Learning to Plan Chemical Synthesescited by 179
38 more
  1. 2019SATNet: Bridging deep learning and logical reasoning using a differentiable satisfiability solvercited by 173
  2. 2015Bayesian Convolutional Neural Networks with Bernoulli Approximate Variational Inferencecited by 159
  3. 2022MRKL Systems: A modular, neuro-symbolic architecture that combines large language models, external knowledge sources and discrete reasoningcited by 156
  4. 2019Neural Logic Machinescited by 145
  5. 2023ChatDB: Augmenting LLMs with Databases as Their Symbolic Memorycited by 140
  6. 2016Multilingual Knowledge Graph Embeddings for Cross-lingual Knowledge Alignmentcited by 128
  7. 2020Logical Neural Networkscited by 119
  8. 2014Neural Variational Inference and Learning in Belief Networkscited by 117
  9. 2016Neural Symbolic Machines: Learning Semantic Parsers on Freebase with Weak Supervisioncited by 103
  10. 2022Semantic Probabilistic Layers for Neuro-Symbolic Learningcited by 103
  11. 2021Symbolic Regression via Neural-Guided Genetic Programming Population Seedingcited by 101
  12. 2019Integration of Neural Network-Based Symbolic Regression in Deep Learning for Scientific Discoverycited by 93
  13. 2021Improving Coherence and Consistency in Neural Sequence Models with Dual-System, Neuro-Symbolic Reasoningcited by 85
  14. 2020Compositional Generalization via Neural-Symbolic Stack Machinescited by 80
  15. 2018SDRL: Interpretable and Data-efficient Deep Reinforcement Learning Leveraging Symbolic Planningcited by 78
  16. 2022Neural-Symbolic Models for Logical Queries on Knowledge Graphscited by 61
  17. 2022Neuro-Symbolic Language Modeling with Automaton-augmented Retrievalcited by 60
  18. 2020Closed Loop Neural-Symbolic Learning via Integrating Neural Perception, Grammar Parsing, and Symbolic Reasoningcited by 58
  19. 2022Learning Neuro-Symbolic Skills for Bilevel Planningcited by 58
  20. 2023NS3D: Neuro-Symbolic Grounding of 3D Objects and Relationscited by 57
  21. 2022Deep Symbolic Regression for Recurrent Sequencescited by 54
  22. 2020Leveraging Abstract Meaning Representation for Knowledge Base Question Answeringcited by 53
  23. 2018PEORL: Integrating Symbolic Planning and Hierarchical Reinforcement Learning for Robust Decision-Makingcited by 52
  24. 2022A-NeSI: A Scalable Approximate Method for Probabilistic Neurosymbolic Inferencecited by 50
  25. 2020Neurosymbolic Reinforcement Learning with Formally Verified Explorationcited by 49
  26. 2021PIGLeT: Language Grounding Through Neuro-Symbolic Interaction in a 3D Worldcited by 47
  27. 2020Neural-Symbolic Integration: A Compositional Perspectivecited by 45
  28. 2016Towards Deep Symbolic Reinforcement Learningcited by 42
  29. 2022Plansformer: Generating Symbolic Plans using Transformerscited by 41
  30. 2019Probabilistic Neural-symbolic Models for Interpretable Visual Question Answeringcited by 38
  31. 2021Neural-Symbolic Solver for Math Word Problems with Auxiliary Taskscited by 38
  32. 2019Towards Generalizable Neuro-Symbolic Systems for Commonsense Question Answeringcited by 37
  33. 2020Facts as Experts: Adaptable and Interpretable Neural Memory over Symbolic Knowledgecited by 37
  34. 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcutscited by 37
  35. 2021Neuro-Symbolic Inductive Logic Programming with Logical Neural Networkscited by 36
  36. 2019Correlating neural and symbolic representations of languagecited by 33
  37. 2023Neuro-Symbolic Continual Learning: Knowledge, Reasoning Shortcuts and Concept Rehearsalcited by 33
  38. 2020Scalable Neural Methods for Reasoning With a Symbolic Knowledge Basecited by 32

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Citing papers per year: 2025: 7; 2026: 3.

10 papers.