Linearized Bregman Iterations for Sparse Spiking Neural Networks

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Hauptverfasser: Windhager, Daniel, Moser, Bernhard A., Lunglmayr, Michael
Format: Preprint
Veröffentlicht: 2026
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author Windhager, Daniel
Moser, Bernhard A.
Lunglmayr, Michael
author_facet Windhager, Daniel
Moser, Bernhard A.
Lunglmayr, Michael
contents Spiking Neural Networks (SNNs) offer an energy efficient alternative to conventional Artificial Neural Networks (ANNs) but typically still require a large number of parameters. This work introduces Linearized Bregman Iterations (LBI) as an optimizer for training SNNs, enforcing sparsity through iterative minimization of the Bregman distance and proximal soft thresholding updates. To improve convergence and generalization, we employ the AdaBreg optimizer, a momentum and bias corrected Bregman variant of Adam. Experiments on three established neuromorphic benchmarks, i.e. the Spiking Heidelberg Digits (SHD), the Spiking Speech Commands (SSC), and the Permuted Sequential MNIST (PSMNIST) datasets, show that LBI based optimization reduces the number of active parameters by about 50% while maintaining accuracy comparable to models trained with the Adam optimizer, demonstrating the potential of convex sparsity inducing methods for efficient neuromorphic learning.
format Preprint
id arxiv_https___arxiv_org_abs_2603_16462
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Linearized Bregman Iterations for Sparse Spiking Neural Networks
Windhager, Daniel
Moser, Bernhard A.
Lunglmayr, Michael
Signal Processing
Neural and Evolutionary Computing
Spiking Neural Networks (SNNs) offer an energy efficient alternative to conventional Artificial Neural Networks (ANNs) but typically still require a large number of parameters. This work introduces Linearized Bregman Iterations (LBI) as an optimizer for training SNNs, enforcing sparsity through iterative minimization of the Bregman distance and proximal soft thresholding updates. To improve convergence and generalization, we employ the AdaBreg optimizer, a momentum and bias corrected Bregman variant of Adam. Experiments on three established neuromorphic benchmarks, i.e. the Spiking Heidelberg Digits (SHD), the Spiking Speech Commands (SSC), and the Permuted Sequential MNIST (PSMNIST) datasets, show that LBI based optimization reduces the number of active parameters by about 50% while maintaining accuracy comparable to models trained with the Adam optimizer, demonstrating the potential of convex sparsity inducing methods for efficient neuromorphic learning.
title Linearized Bregman Iterations for Sparse Spiking Neural Networks
topic Signal Processing
Neural and Evolutionary Computing
url https://arxiv.org/abs/2603.16462