mlsanityData to 7 Oct 2026

Binary Spiking Neural Networks as Causal Models

arXiv 2604.27007 ↗First posted 29 Apr 2026cs.AIcited by 1

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Abstract (arXiv)

We provide a causal analysis of Binary Spiking Neural Networks (BSNNs) to explain their behavior. We formally define a BSNN and represent its spiking activity as a binary causal model. Thanks to this causal representation, we are able to explain the output of the network by leveraging logic-based methods. In particular, we show that we can successfully use a SAT as well as a SMT solver to compute abductive explanations from this binary causal model. To illustrate our approach, we trained the BSNN on the standard MNIST dataset and applied our SAT-based and SMT-based methods to finding abductive explanations of the network's classifications based on pixel-level features. We also compared the found explanations against SHAP, a popular method used in the area of explainable AI. We show that, unlike SHAP, our approach guarantees that a found explanation does not contain completely irrelevant features.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 26 of its 44 references that are in the map. First posted on arXiv 29 Apr 2026.

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26 of 44 references.

References · 26

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  3. 2016XNOR-Net: ImageNet Classification Using Binary Convolutional Neural Networkscited by 829
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  11. 2020Explaining Naive Bayes and Other Linear Classifiers with Polynomial Time and Delaycited by 56
  12. 2023SpikingBERT: Distilling BERT to Train Spiking Language Models Using Implicit Differentiationcited by 47
14 more
  1. 2020Interpreting Neural Networks as Gradual Argumentation Frameworks (Including Proof Appendix)cited by 38
  2. 2020On Tractable Representations of Binary Neural Networkscited by 34
  3. 2020Exploring the Connection Between Binary and Spiking Neural Networkscited by 33
  4. 2020BS4NN: Binarized Spiking Neural Networks with Temporal Coding and Learningcited by 20
  5. 2023SpArX: Sparse Argumentative Explanations for Neural Networks [Technical Report]cited by 18
  6. 2021A unified logical framework for explanations in classifier systemscited by 15
  7. 2014The Computational Complexity of Structure-Based Causalitycited by 12
  8. 2019ReStoCNet: Residual Stochastic Binary Convolutional Spiking Neural Network for Memory-Efficient Neuromorphic Computingcited by 12
  9. 2020The Counterfactual NESS Definition of Causationcited by 8
  10. 2024From SHAP Scores to Feature Importance Scorescited by 8
  11. 2020BiSNN: Training Spiking Neural Networks with Binary Weights via Bayesian Learningcited by 6
  12. 2023A Refutation of Shapley Values for Explainabilitycited by 4
  13. 2023Refutation of Shapley Values for XAI -- Additional Evidencecited by 4
  14. 2024Relevant Irrelevance: Generating Alterfactual Explanations for Image Classifierscited by 3

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