Neuro-Symbolic AI: Explainability, Challenges, and Future Trends
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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.
Builds on
114 of 186 references.
References · 114
- 2023Logic-LM: Empowering Large Language Models with Symbolic Solvers for Faithful Logical Reasoningcited by 391
- 2019The Neuro-Symbolic Concept Learner: Interpreting Scenes, Words, and Sentences From Natural Supervisioncited by 372
- 2020Discovering Symbolic Models from Deep Learning with Inductive Biasescited by 344
- 2019Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradientscited by 309
- 2018Neural-Symbolic VQA: Disentangling Reasoning from Vision and Language Understandingcited by 304
- 2017A Semantic Loss Function for Deep Learning with Symbolic Knowledgecited by 270
- 2019Deep Learning for Symbolic Mathematicscited by 270
- 2020COMET-ATOMIC 2020: On Symbolic and Neural Commonsense Knowledge Graphscited by 254
- 2018PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Networkcited by 210
- 2021Neural Symbolic Regression that Scalescited by 192
- 2018Formal Security Analysis of Neural Networks using Symbolic Intervalscited by 185
- 2017Learning to Plan Chemical Synthesescited by 179
38 more
- 2019SATNet: Bridging deep learning and logical reasoning using a differentiable satisfiability solvercited by 173
- 2015Bayesian Convolutional Neural Networks with Bernoulli Approximate Variational Inferencecited by 159
- 2022MRKL Systems: A modular, neuro-symbolic architecture that combines large language models, external knowledge sources and discrete reasoningcited by 156
- 2019Neural Logic Machinescited by 145
- 2023ChatDB: Augmenting LLMs with Databases as Their Symbolic Memorycited by 140
- 2016Multilingual Knowledge Graph Embeddings for Cross-lingual Knowledge Alignmentcited by 128
- 2020Logical Neural Networkscited by 119
- 2014Neural Variational Inference and Learning in Belief Networkscited by 117
- 2016Neural Symbolic Machines: Learning Semantic Parsers on Freebase with Weak Supervisioncited by 103
- 2022Semantic Probabilistic Layers for Neuro-Symbolic Learningcited by 103
- 2021Symbolic Regression via Neural-Guided Genetic Programming Population Seedingcited by 101
- 2019Integration of Neural Network-Based Symbolic Regression in Deep Learning for Scientific Discoverycited by 93
- 2021Improving Coherence and Consistency in Neural Sequence Models with Dual-System, Neuro-Symbolic Reasoningcited by 85
- 2020Compositional Generalization via Neural-Symbolic Stack Machinescited by 80
- 2018SDRL: Interpretable and Data-efficient Deep Reinforcement Learning Leveraging Symbolic Planningcited by 78
- 2022Neural-Symbolic Models for Logical Queries on Knowledge Graphscited by 61
- 2022Neuro-Symbolic Language Modeling with Automaton-augmented Retrievalcited by 60
- 2020Closed Loop Neural-Symbolic Learning via Integrating Neural Perception, Grammar Parsing, and Symbolic Reasoningcited by 58
- 2022Learning Neuro-Symbolic Skills for Bilevel Planningcited by 58
- 2023NS3D: Neuro-Symbolic Grounding of 3D Objects and Relationscited by 57
- 2022Deep Symbolic Regression for Recurrent Sequencescited by 54
- 2020Leveraging Abstract Meaning Representation for Knowledge Base Question Answeringcited by 53
- 2018PEORL: Integrating Symbolic Planning and Hierarchical Reinforcement Learning for Robust Decision-Makingcited by 52
- 2022A-NeSI: A Scalable Approximate Method for Probabilistic Neurosymbolic Inferencecited by 50
- 2020Neurosymbolic Reinforcement Learning with Formally Verified Explorationcited by 49
- 2021PIGLeT: Language Grounding Through Neuro-Symbolic Interaction in a 3D Worldcited by 47
- 2020Neural-Symbolic Integration: A Compositional Perspectivecited by 45
- 2016Towards Deep Symbolic Reinforcement Learningcited by 42
- 2022Plansformer: Generating Symbolic Plans using Transformerscited by 41
- 2019Probabilistic Neural-symbolic Models for Interpretable Visual Question Answeringcited by 38
- 2021Neural-Symbolic Solver for Math Word Problems with Auxiliary Taskscited by 38
- 2019Towards Generalizable Neuro-Symbolic Systems for Commonsense Question Answeringcited by 37
- 2020Facts as Experts: Adaptable and Interpretable Neural Memory over Symbolic Knowledgecited by 37
- 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcutscited by 37
- 2021Neuro-Symbolic Inductive Logic Programming with Logical Neural Networkscited by 36
- 2019Correlating neural and symbolic representations of languagecited by 33
- 2023Neuro-Symbolic Continual Learning: Knowledge, Reasoning Shortcuts and Concept Rehearsalcited by 33
- 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.
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- 2025A Unified Framework for Real-Time Failure Handling in Robotics Using Vision-Language Models, Reactive Planner and Behavior Treescited by 4
- 2025CoreThink: A Symbolic Reasoning Layer to reason over Long Horizon Tasks with LLMscited by 3
- 2025Vector Symbolic Algebras for the Abstraction and Reasoning Corpuscited by 1
- 2026In Transformer We Trust? A Perspective on Transformer Architecture Failure Modescited by 1
- 2025Seeing Through Risk: A Symbolic Approximation of Prospect Theorycited by 0
- 2025CLMN: Concept based Language Models via Neural Symbolic Reasoningcited by 0
- 2025Multi-task GINN-LP for Multi-target Symbolic Regressioncited by 0
- 2026Neuro-Relational Programs: Unifying Queries and Neural Computation over Structured Datacited by 0
- 2026Think-Verify-Revise: Neuro-Symbolic Visual Reasoning with Vision-Language Models and Dynamic Logic Tensor Networkscited by 0
- 2026Think-Verify-Revise: Neuro-Symbolic Visual Reasoning with Vision-Language Models and Dynamic Logic Tensor Networks4 Sep 2026
- 2026Neuro-Relational Programs: Unifying Queries and Neural Computation over Structured Data10 Jun 2026
- 2026In Transformer We Trust? A Perspective on Transformer Architecture Failure Modes15 Feb 2026
- 2025Multi-task GINN-LP for Multi-target Symbolic Regression17 Nov 2025
- 2025Vector Symbolic Algebras for the Abstraction and Reasoning Corpus11 Nov 2025
- 2025CLMN: Concept based Language Models via Neural Symbolic Reasoning11 Oct 2025
- 2025CoreThink: A Symbolic Reasoning Layer to reason over Long Horizon Tasks with LLMs31 Aug 2025
- 2025AI Mother Tongue: Self-Emergent Communication in MARL via Endogenous Symbol Systems7 Jul 2025
- 2025Seeing Through Risk: A Symbolic Approximation of Prospect Theory20 Apr 2025
- 2025A Unified Framework for Real-Time Failure Handling in Robotics Using Vision-Language Models, Reactive Planner and Behavior Trees19 Mar 2025