Incorporating Expert Rules into Neural Networks in the Framework of Concept-Based Learning
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Abstract (arXiv)
A problem of incorporating the expert rules into machine learning models for extending the concept-based learning is formulated in the paper. It is proposed how to combine logical rules and neural networks predicting the concept probabilities. The first idea behind the combination is to form constraints for a joint probability distribution over all combinations of concept values to satisfy the expert rules. The second idea is to represent a feasible set of probability distributions in the form of a convex polytope and to use its vertices or faces. We provide several approaches for solving the stated problem and for training neural networks which guarantee that the output probabilities of concepts would not violate the expert rules. The solution of the problem can be viewed as a way for combining the inductive and deductive learning. Expert rules are used in a broader sense when any logical function that connects concepts and class labels or just concepts with each other can be regarded as a rule. This feature significantly expands the class of the proposed results. Numerical examples illustrate the approaches. The code of proposed algorithms is publicly available.
Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 32 of its 42 references that are in the map. First posted on arXiv 22 Feb 2024.
Builds on
32 of 42 references.
References · 32
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- 2020Concept Bottleneck Modelscited by 1,022
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- 2023Probabilistic Concept Bottleneck Modelscited by 101
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20 more
- 2023Robust and Interpretable Medical Image Classifiers via Concept Bottleneck Modelscited by 40
- 2023Human Uncertainty in Concept-Based AI Systemscited by 39
- 2023Auxiliary Losses for Learning Generalizable Concept-based Modelscited by 35
- 2024Beyond Concept Bottleneck Models: How to Make Black Boxes Intervenable?cited by 28
- 2023Coherent Concept-based Explanations in Medical Image and Its Application to Skin Lesion Diagnosiscited by 26
- 2023Understanding the (Extra-)Ordinary: Validating Deep Model Decisions with Prototypical Concept-based Explanationscited by 21
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- 2024Eliminating Information Leakage in Hard Concept Bottleneck Models with Supervised, Hierarchical Concept Learningcited by 17
- 2022Concept-based Explanations for Out-Of-Distribution Detectorscited by 16
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- 2020Interpretable Time-series Classification on Few-shot Samplescited by 11
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- 2024Do Concept Bottleneck Models Respect Localities?cited by 10
- 2023Towards Concept-based Interpretability of Skin Lesion Diagnosis using Vision-Language Modelscited by 9
- 2023Transparent Anomaly Detection via Concept-based Explanationscited by 5
- 2023CEIR: Concept-based Explainable Image Representation Learningcited by 5
- 2022Concept-Based Explanations for Tabular Datacited by 4
- 2023Statistically Significant Concept-based Explanation of Image Classifiers via Model Knockoffscited by 4
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Citing papers per year: 2024: 1; 2025: 2.
3 papers.
- 2025Discovering Fine-Grained Visual-Concept Relations by Disentangled Optimal Transport Concept Bottleneck Modelscited by 12
- 2024FI-CBL: A Probabilistic Method for Concept-Based Learning with Expert Rulescited by 1
- 2025Automated Video-EEG Analysis in Epilepsy Studies: Advances and Challengescited by 0
- 2025Discovering Fine-Grained Visual-Concept Relations by Disentangled Optimal Transport Concept Bottleneck Models12 May 2025
- 2025Automated Video-EEG Analysis in Epilepsy Studies: Advances and Challenges25 Mar 2025
- 2024FI-CBL: A Probabilistic Method for Concept-Based Learning with Expert Rules28 Jun 2024