Concept Embedding Models: Beyond the Accuracy-Explainability Trade-Off
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Abstract (arXiv)
Deploying AI-powered systems requires trustworthy models supporting effective human interactions, going beyond raw prediction accuracy. Concept bottleneck models promote trustworthiness by conditioning classification tasks on an intermediate level of human-like concepts. This enables human interventions which can correct mispredicted concepts to improve the model's performance. However, existing concept bottleneck models are unable to find optimal compromises between high task accuracy, robust concept-based explanations, and effective interventions on concepts -- particularly in real-world conditions where complete and accurate concept supervisions are scarce. To address this, we propose Concept Embedding Models, a novel family of concept bottleneck models which goes beyond the current accuracy-vs-interpretability trade-off by learning interpretable high-dimensional concept representations. Our experiments demonstrate that Concept Embedding Models (1) attain better or competitive task accuracy w.r.t. standard neural models without concepts, (2) provide concept representations capturing meaningful semantics including and beyond their ground truth labels, (3) support test-time concept interventions whose effect in test accuracy surpasses that in standard concept bottleneck models, and (4) scale to real-world conditions where complete concept supervisions are scarce.
Key facts. Cited by 61 papers in the map (data through 7 Oct 2026). Builds on 26 of its 52 references that are in the map. First posted on arXiv 19 Sep 2022.
Builds on
26 of 52 references.
References · 26
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2014Deep Learning Face Attributes in the Wildcited by 3,679
- 2017Axiomatic Attribution for Deep Networkscited by 3,350
- 2019Explainable Artificial Intelligence (XAI): Concepts, Taxonomies, Opportunities and Challenges toward Responsible AIcited by 1,543
- 2017Interpretability Beyond Feature Attribution: Quantitative Testing with Concept Activation Vectors (TCAV)cited by 1,309
- 2018Sanity Checks for Saliency Mapscited by 1,149
- 2017Counterfactual Explanations without Opening the Black Box: Automated Decisions and the GDPRcited by 1,086
- 2020Concept Bottleneck Modelscited by 1,022
- 2015Deep Learning and the Information Bottleneck Principlecited by 793
- 2018Towards Robust Interpretability with Self-Explaining Neural Networkscited by 505
14 more
- 2017Opening the Black Box of Deep Neural Networks via Informationcited by 494
- 2017Interpretation of Neural Networks is Fragilecited by 443
- 2021Interpretable Machine Learning: Fundamental Principles and 10 Grand Challengescited by 364
- 2017The (Un)reliability of saliency methodscited by 331
- 2019On Completeness-aware Concept-Based Explanations in Deep Neural Networkscited by 239
- 2020Concept Whitening for Interpretable Image Recognitioncited by 225
- 2016Grad-CAM: Why did you say that?cited by 159
- 2021Promises and Pitfalls of Black-Box Concept Learning Modelscited by 128
- 2017Learning how to explain neural networks: PatternNet and PatternAttributioncited by 84
- 2017Nonlinear Information Bottleneckcited by 71
- 2018Explanation Methods in Deep Learning: Users, Values, Concerns and Challengescited by 49
- 2021GCExplainer: Human-in-the-Loop Concept-based Explanations for Graph Neural Networkscited by 35
- 2018Deep Supervision with Intermediate Conceptscited by 19
- 2022Trust in AI: Interpretability is not necessary or sufficient, while black-box interaction is necessary and sufficientcited by 13
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Citing papers per year: 2022: 1; 2023: 22; 2024: 16; 2025: 16; 2026: 6.
61 papers.
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- 2023Label-Free Concept Bottleneck Modelscited by 282
- 2023Getting aligned on representational alignmentcited by 142
- 2023Explainable Artificial Intelligence (XAI) 2.0: A Manifesto of Open Challenges and Interdisciplinary Research Directionscited by 123
- 2023Probabilistic Concept Bottleneck Modelscited by 101
- 2023A Closer Look at the Intervention Procedure of Concept Bottleneck Modelscited by 63
- 2023Not All Neuro-Symbolic Concepts Are Created Equal: Analysis and Mitigation of Reasoning Shortcutscited by 63
- 2023Interpretable Neural-Symbolic Concept Reasoningcited by 56
- 2023Multi-dimensional concept discovery (MCD): A unifying framework with completeness guaranteescited by 48
- 2023Human Uncertainty in Concept-Based AI Systemscited by 39
- 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcutscited by 36
- 2023Auxiliary Losses for Learning Generalizable Concept-based Modelscited by 35
- 2024Energy-Based Concept Bottleneck Models: Unifying Prediction, Concept Intervention, and Probabilistic Interpretationscited by 33
38 more
- 2024Causal Concept Graph Models: Beyond Causal Opacity in Deep Learningcited by 28
- 2024A Neuro-Symbolic Benchmark Suite for Concept Quality and Reasoning Shortcutscited by 19
- 2023State2Explanation: Concept-Based Explanations to Benefit Agent Learning and User Understandingcited by 17
- 2024Learning Discrete Concepts in Latent Hierarchical Modelscited by 17
- 2025Causally Reliable Concept Bottleneck Modelscited by 17
- 2024Understanding Inter-Concept Relationships in Concept-Based Modelscited by 13
- 2025Shortcuts and Identifiability in Concept-based Models from a Neuro-Symbolic Lenscited by 13
- 2025Dissecting Generalized Category Discovery: Multiplex Consensus under Self-Deconstructioncited by 13
- 2024Tuning-Free Accountable Intervention for LLM Deployment -- A Metacognitive Approachcited by 11
- 2023Dividing and Conquering a BlackBox to a Mixture of Interpretable Models: Route, Interpret, Repeatcited by 10
- 2023Learning with Explanation Constraintscited by 8
- 2023Concept-Centric Transformers: Enhancing Model Interpretability through Object-Centric Concept Learning within a Shared Global Workspacecited by 7
- 2023Selective Concept Models: Permitting Stakeholder Customisation at Test-Timecited by 6
- 2023SHARCS: Shared Concept Space for Explainable Multimodal Learningcited by 6
- 2024Improving Intervention Efficacy via Concept Realignment in Concept Bottleneck Modelscited by 6
- 2024Towards Multi-dimensional Explanation Alignment for Medical Classificationcited by 6
- 2025OCRT: Boosting Foundation Models in the Open World with Object-Concept-Relation Triadcited by 6
- 2025SUB: Benchmarking CBM Generalization via Synthetic Attribute Substitutionscited by 6
- 2023How Faithful are Self-Explainable GNNs?cited by 5
- 2024AnyCBMs: How to Turn Any Black Box into a Concept Bottleneck Modelcited by 5
- 2024CAT: Interpretable Concept-based Taylor Additive Modelscited by 5
- 2025An Analysis of Concept Bottleneck Models: Measuring, Understanding, and Mitigating the Impact of Noisy Annotationscited by 5
- 2023Distilling BlackBox to Interpretable models for Efficient Transfer Learningcited by 4
- 2024Visual Objectification in Films: Towards a New AI Task for Video Interpretationcited by 4
- 2024Improving deep learning with prior knowledge and cognitive models: A survey on enhancing explainability, adversarial robustness and zero-shot learningcited by 4
- 2025Zero-shot Concept Bottleneck Modelscited by 4
- 2025Concept-Based Unsupervised Domain Adaptationcited by 4
- 2025MVP-CBM:Multi-layer Visual Preference-enhanced Concept Bottleneck Model for Explainable Medical Image Classificationcited by 4
- 2022Explainable fetal ultrasound quality assessment with progressive concept bottleneck modelscited by 3
- 2025V-CEM: Bridging Performance and Intervenability in Concept-based Modelscited by 3
- 2023Tackling Shortcut Learning in Deep Neural Networks: An Iterative Approach with Interpretable Modelscited by 2
- 2024CoLiDR: Concept Learning using Aggregated Disentangled Representationscited by 2
- 2025QPM: Discrete Optimization for Globally Interpretable Image Classificationcited by 2
- 2025Towards Reasonable Concept Bottleneck Modelscited by 2
- 2026Mixture of Concept Bottleneck Expertscited by 2
- 2026Concepts' Information Bottleneck Modelscited by 2
- 2023Schema Inference for Interpretable Image Classificationcited by 1
- 2023Exploring the Lottery Ticket Hypothesis with Explainability Methods: Insights into Sparse Network Performancecited by 1
50 most cited of 61 All 61 (JSON)
- 2026Weakly supervised concept Bottleneck Learning for Robust Two stage Object centric visual reasoning23 Aug 2026
- 2026In Defense of Information Leakage in Concept-based Models9 Jun 2026
- 2026Measuring What Matters: Synthetic Benchmarks for Concept Bottleneck Models3 Jun 2026
- 2026Towards Faithful Multimodal Concept Bottleneck Models13 Mar 2026
- 2026Concepts' Information Bottleneck Models16 Feb 2026
- 2026Mixture of Concept Bottleneck Experts2 Feb 2026
- 2025CLMN: Concept based Language Models via Neural Symbolic Reasoning11 Oct 2025
- 2025Dissecting Generalized Category Discovery: Multiplex Consensus under Self-Deconstruction14 Aug 2025
- 2025SUB: Benchmarking CBM Generalization via Synthetic Attribute Substitutions31 Jul 2025
- 2025MVP-CBM:Multi-layer Visual Preference-enhanced Concept Bottleneck Model for Explainable Medical Image Classification14 Jun 2025
- 2025Towards Reasonable Concept Bottleneck Models5 Jun 2025
- 2025MObyGaze: a film dataset of multimodal objectification densely annotated by experts28 May 2025
38 more
- 2025An Analysis of Concept Bottleneck Models: Measuring, Understanding, and Mitigating the Impact of Noisy Annotations22 May 2025
- 2025Concept-Based Unsupervised Domain Adaptation8 May 2025
- 2025V-CEM: Bridging Performance and Intervenability in Concept-based Models4 Apr 2025
- 2025OCRT: Boosting Foundation Models in the Open World with Object-Concept-Relation Triad24 Mar 2025
- 2025Causally Reliable Concept Bottleneck Models6 Mar 2025
- 2025QPM: Discrete Optimization for Globally Interpretable Image Classification27 Feb 2025
- 2025Shortcuts and Identifiability in Concept-based Models from a Neuro-Symbolic Lens16 Feb 2025
- 2025Zero-shot Concept Bottleneck Models13 Feb 2025
- 2025Enhancing Performance of Explainable AI Models with Constrained Concept Refinement10 Feb 2025
- 2025Towards Robust and Reliable Concept Representations: Reliability-Enhanced Concept Embedding Model3 Feb 2025
- 2024MCCE: Missingness-aware Causal Concept Explainer14 Nov 2024
- 2024Towards Multi-dimensional Explanation Alignment for Medical Classification28 Oct 2024
- 2024CoLiDR: Concept Learning using Aggregated Disentangled Representations27 Jul 2024
- 2024CAT: Interpretable Concept-based Taylor Additive Models25 Jun 2024
- 2024A Neuro-Symbolic Benchmark Suite for Concept Quality and Reasoning Shortcuts14 Jun 2024
- 2024Learning Discrete Concepts in Latent Hierarchical Models1 Jun 2024
- 2024Understanding Inter-Concept Relationships in Concept-Based Models28 May 2024
- 2024AnyCBMs: How to Turn Any Black Box into a Concept Bottleneck Model26 May 2024
- 2024Causal Concept Graph Models: Beyond Causal Opacity in Deep Learning26 May 2024
- 2024Improving Intervention Efficacy via Concept Realignment in Concept Bottleneck Models2 May 2024
- 2024Learning Decomposable and Debiased Representations via Attribute-Centric Information Bottlenecks21 Mar 2024
- 2024Improving deep learning with prior knowledge and cognitive models: A survey on enhancing explainability, adversarial robustness and zero-shot learning11 Mar 2024
- 2024Tuning-Free Accountable Intervention for LLM Deployment -- A Metacognitive Approach8 Mar 2024
- 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcuts19 Feb 2024
- 2024Energy-Based Concept Bottleneck Models: Unifying Prediction, Concept Intervention, and Probabilistic Interpretations25 Jan 2024
- 2024Visual Objectification in Films: Towards a New AI Task for Video Interpretation24 Jan 2024
- 2023Auxiliary Losses for Learning Generalizable Concept-based Models18 Nov 2023
- 2023Explainable Artificial Intelligence (XAI) 2.0: A Manifesto of Open Challenges and Interdisciplinary Research Directions30 Oct 2023
- 2023Getting aligned on representational alignment18 Oct 2023
- 2023State2Explanation: Concept-Based Explanations to Benefit Agent Learning and User Understanding21 Sep 2023
- 2023How Faithful are Self-Explainable GNNs?29 Aug 2023
- 2023Exploring the Lottery Ticket Hypothesis with Explainability Methods: Insights into Sparse Network Performance7 Jul 2023
- 2023Dividing and Conquering a BlackBox to a Mixture of Interpretable Models: Route, Interpret, Repeat7 Jul 2023
- 2023SHARCS: Shared Concept Space for Explainable Multimodal Learning1 Jul 2023
- 2023Selective Concept Models: Permitting Stakeholder Customisation at Test-Time14 Jun 2023
- 2023Probabilistic Concept Bottleneck Models2 Jun 2023
- 2023Not All Neuro-Symbolic Concepts Are Created Equal: Analysis and Mitigation of Reasoning Shortcuts31 May 2023
- 2023Distilling BlackBox to Interpretable models for Efficient Transfer Learning26 May 2023
50 newest of 61 All 61 (JSON)
- 2023Label-Free Concept Bottleneck Modelscited by 282
- 2023Getting aligned on representational alignmentcited by 142
- 2023Explainable Artificial Intelligence (XAI) 2.0: A Manifesto of Open Challenges and Interdisciplinary Research Directionscited by 123
- 2023Probabilistic Concept Bottleneck Modelscited by 101
- 2023A Closer Look at the Intervention Procedure of Concept Bottleneck Modelscited by 63
- 2023Not All Neuro-Symbolic Concepts Are Created Equal: Analysis and Mitigation of Reasoning Shortcutscited by 63
- 2023Interpretable Neural-Symbolic Concept Reasoningcited by 56
- 2023Multi-dimensional concept discovery (MCD): A unifying framework with completeness guaranteescited by 48
- 2023Human Uncertainty in Concept-Based AI Systemscited by 39
- 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcutscited by 36
- 2023Auxiliary Losses for Learning Generalizable Concept-based Modelscited by 35
- 2024Energy-Based Concept Bottleneck Models: Unifying Prediction, Concept Intervention, and Probabilistic Interpretationscited by 33
12 most cited of 59 All 59 (JSON)
- 2026In Defense of Information Leakage in Concept-based Models9 Jun 2026
- 2026Measuring What Matters: Synthetic Benchmarks for Concept Bottleneck Models3 Jun 2026
- 2026Towards Faithful Multimodal Concept Bottleneck Models13 Mar 2026
- 2026Concepts' Information Bottleneck Models16 Feb 2026
- 2026Mixture of Concept Bottleneck Experts2 Feb 2026
- 2025Dissecting Generalized Category Discovery: Multiplex Consensus under Self-Deconstruction14 Aug 2025
- 2025SUB: Benchmarking CBM Generalization via Synthetic Attribute Substitutions31 Jul 2025
- 2025MVP-CBM:Multi-layer Visual Preference-enhanced Concept Bottleneck Model for Explainable Medical Image Classification14 Jun 2025
- 2025Towards Reasonable Concept Bottleneck Models5 Jun 2025
- 2025MObyGaze: a film dataset of multimodal objectification densely annotated by experts28 May 2025
- 2025An Analysis of Concept Bottleneck Models: Measuring, Understanding, and Mitigating the Impact of Noisy Annotations22 May 2025
- 2025Concept-Based Unsupervised Domain Adaptation8 May 2025
12 newest of 59 All 59 (JSON)