NeuroRule: Making Black-Box Neural Networks Explainable through Rule-set Evolution
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Abstract (arXiv)
High-capacity neural network models have achieved state-of-the-art performance across diverse classification tasks, yet they frequently operate as black-box models, lacking the transparency necessary for critical decision-making. Such opacity creates a persistent trade-off between performance and explainability. This paper proposes a solution to address this gap: the NeuroRule knowledge distillation framework that results in explainable rule-sets from neural network models. NeuroRule adapts the EVOTER rule-set evolution infrastructure to treat neural networks as targets for the evolution process, distilling their performance into concise sets of propositional logic expressions. There are three primary contributions: (1) an evolutionary method for distilling black-box neural network models into explicit rule-set models; (2) a method for making rule sets more explainable by including a conciseness objective to evolution; and (3) a demonstration that the distillation is viable even without access to the original neural network training data. The paper thus establishes that black-box neural network models can be made explainable and therefore useful in real-world applications where trustworthiness is paramount.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 14 of its 28 references that are in the map. First posted on arXiv 22 Sep 2026.
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References · 14
- 2015Distilling the Knowledge in a Neural Networkcited by 10,324
- 2016Grad-CAM: Visual Explanations from Deep Networks via Gradient-based Localizationcited by 6,733
- 2017A Unified Approach to Interpreting Model Predictionscited by 6,555
- 2016"Why Should I Trust You?": Explaining the Predictions of Any Classifiercited by 5,070
- 2013Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Mapscited by 2,371
- 2019Explainable Artificial Intelligence (XAI): Concepts, Taxonomies, Opportunities and Challenges toward Responsible AIcited by 1,552
- 2018On the Spectral Bias of Neural Networkscited by 1,341
- 2017Distilling a Neural Network Into a Soft Decision Treecited by 236
- 2019An Evaluation of the Human-Interpretability of Explanationcited by 71
- 2021Noisy Recurrent Neural Networkscited by 42
- 2017An Empirical Evaluation of Rule Extraction from Recurrent Neural Networkscited by 21
- 2023Random Smoothing Regularization in Kernel Gradient Descent Learningcited by 6
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- 2022Towards Benchmarking Explainable Artificial Intelligence Methods
- 2025Unboxing the Black Box: Mechanistic Interpretability for Algorithmic Understanding of Neural Networks
- 2026Neuron-Anchored Rule Extraction for Large Language Models via Contrastive Hierarchical Ablation
- 2026Mechanistic Interpretability for Neural Networks: Circuits, Sparse Features and Symbolic Reasoning
- 2025A Functional Perspective on Knowledge Distillation in Neural Networks
- 2024Gnothi Seauton: Empowering Faithful Self-Interpretability in Black-Box Transformers
- 2025Neural Probabilistic Circuits: Enabling Compositional and Interpretable Predictions through Logical Reasoning
- 2025Disentangling Neural Disjunctive Normal Form Models