Practical Bayesian Inference for Speech SNNs: Uncertainty and Loss-Landscape Smoothing

arXiv cs.AI / 4/13/2026

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Key Points

  • The paper studies how spiking neural networks (SNNs) for speech tasks produce an irregular, angular predictive loss landscape due to threshold-based spike generation.
  • It proposes Bayesian learning for SNN weights to smooth and regularize the predictive landscape, aiming to mitigate the deterministic irregularity.
  • For surrogate-gradient SNNs, the authors further evaluate IVON (Improved Variational Online Newton) as an efficient variational Bayesian training approach.
  • Experiments on Heidelberg Digits and Speech Commands show improved negative log-likelihood and Brier score, indicating better calibrated probabilistic predictions.
  • The authors verify that the Bayesian/IVON approach yields a smoother, more regular predictive landscape by analyzing one-dimensional slices of the weight space.

Abstract

Spiking Neural Networks (SNNs) are naturally suited for speech processing tasks due to their specific dynamics, which allows them to handle temporal data. However, the threshold-based generation of spikes in SNNs intuitively causes an angular or irregular predictive landscape. We explore the effect of using the Bayesian learning approach for the weights on the irregular predictive landscape. For the surrogate-gradient SNNs, we also explore the application of the Improved Variational Online Newton (IVON) approach, which is an efficient variational approach. The performance of the proposed approach is evaluated on the Heidelberg Digits and Speech Commands datasets. The hypothesis is that the Bayesian approach will result in a smoother and more regular predictive landscape, given the angular nature of the deterministic predictive landscape. The experimental evaluation of the proposed approach shows improved performance on the negative log-likelihood and Brier score. Furthermore, the proposed approach has resulted in a smoother and more regular predictive landscape compared to the deterministic approach, based on the one-dimensional slices of the weight space