Binary Spiking Neural Networks as causal models

28 Sept 2024 (modified: 05 Feb 2025)Submitted to ICLR 2025EveryoneRevisionsBibTeXCC BY 4.0
Keywords: Explainability, Causal reasoning, Spiking Neural Networks, White-box
Abstract: In this paper, we provide a causal analysis of binary spiking neural networks (BSNNs) aimed at explaining their behaviors. 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 (Boolean satisfiability) 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 method 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 to explain ``black box'' classifiers. We show that, unlike SHAP, our method guarantees that a found explanation does not contain completely irrelevant features.
Supplementary Material: zip
Primary Area: causal reasoning
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Submission Number: 14144
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