Cannistraci-Hebb Training on Ultra-Sparse Spiking Neural Networks

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Hauptverfasser: Hua, Yuan, Zhang, Jilin, Zhang, Yingtao, Gu, Wenqi, You, Leyi, Xiong, Baobo, Cannistraci, Carlo Vittorio, Chen, Hong
Format: Preprint
Veröffentlicht: 2025
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author Hua, Yuan
Zhang, Jilin
Zhang, Yingtao
Gu, Wenqi
You, Leyi
Xiong, Baobo
Cannistraci, Carlo Vittorio
Chen, Hong
author_facet Hua, Yuan
Zhang, Jilin
Zhang, Yingtao
Gu, Wenqi
You, Leyi
Xiong, Baobo
Cannistraci, Carlo Vittorio
Chen, Hong
contents Inspired by the brain's spike-based computation, spiking neural networks (SNNs) inherently possess temporal activation sparsity. However, when it comes to the sparse training of SNNs in the structural connection domain, existing methods fail to achieve ultra-sparse network structures without significant performance loss, thereby hindering progress in energy-efficient neuromorphic computing. This limitation presents a critical challenge: how to achieve high levels of structural connection sparsity while maintaining performance comparable to fully connected networks. To address this challenge, we propose the Cannistraci-Hebb Spiking Neural Network (CH-SNN), a novel and generalizable dynamic sparse training framework for SNNs consisting of four stages. First, we propose a sparse spike correlated topological initialization (SSCTI) method to initialize a sparse network based on node correlations. Second, temporal activation sparsity and structural connection sparsity are integrated via a proposed sparse spike weight initialization (SSWI) method. Third, a hybrid link removal score (LRS) is applied to prune redundant weights and inactive neurons, improving information flow. Finally, the CH3-L3 network automaton framework inspired by Cannistraci-Hebb learning theory is incorporated to perform link prediction for potential synaptic regrowth. These mechanisms enable CH-SNN to achieve sparsification across all linear layers. We have conducted extensive experiments on six datasets including CIFAR-10 and CIFAR-100, evaluating various network architectures such as spiking convolutional neural networks and Spikformer.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05581
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cannistraci-Hebb Training on Ultra-Sparse Spiking Neural Networks
Hua, Yuan
Zhang, Jilin
Zhang, Yingtao
Gu, Wenqi
You, Leyi
Xiong, Baobo
Cannistraci, Carlo Vittorio
Chen, Hong
Neural and Evolutionary Computing
Inspired by the brain's spike-based computation, spiking neural networks (SNNs) inherently possess temporal activation sparsity. However, when it comes to the sparse training of SNNs in the structural connection domain, existing methods fail to achieve ultra-sparse network structures without significant performance loss, thereby hindering progress in energy-efficient neuromorphic computing. This limitation presents a critical challenge: how to achieve high levels of structural connection sparsity while maintaining performance comparable to fully connected networks. To address this challenge, we propose the Cannistraci-Hebb Spiking Neural Network (CH-SNN), a novel and generalizable dynamic sparse training framework for SNNs consisting of four stages. First, we propose a sparse spike correlated topological initialization (SSCTI) method to initialize a sparse network based on node correlations. Second, temporal activation sparsity and structural connection sparsity are integrated via a proposed sparse spike weight initialization (SSWI) method. Third, a hybrid link removal score (LRS) is applied to prune redundant weights and inactive neurons, improving information flow. Finally, the CH3-L3 network automaton framework inspired by Cannistraci-Hebb learning theory is incorporated to perform link prediction for potential synaptic regrowth. These mechanisms enable CH-SNN to achieve sparsification across all linear layers. We have conducted extensive experiments on six datasets including CIFAR-10 and CIFAR-100, evaluating various network architectures such as spiking convolutional neural networks and Spikformer.
title Cannistraci-Hebb Training on Ultra-Sparse Spiking Neural Networks
topic Neural and Evolutionary Computing
url https://arxiv.org/abs/2511.05581