ASecond-Order SpikingSSM for Wearables

Fuente: arXiv
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Autores principales: Agrawal, Kartikay, Vikram, Abhijeet, Sharma, Vedant, Nagabhushana, Vaishnavi, Borthakur, Ayon
Formato: Preprint
Publicado: 2025
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author Agrawal, Kartikay
Vikram, Abhijeet
Sharma, Vedant
Nagabhushana, Vaishnavi
Borthakur, Ayon
author_facet Agrawal, Kartikay
Vikram, Abhijeet
Sharma, Vedant
Nagabhushana, Vaishnavi
Borthakur, Ayon
contents Spiking neural networks have garnered increasing attention due to their energy efficiency, multiplication-free computation, and sparse event-based processing. In parallel, state space models have emerged as scalable alternatives to transformers for long-range sequence modelling by avoiding quadratic dependence on sequence length. We propose SHaRe-SSM (Spiking Harmonic Resonate-and-Fire State Space Model), a second-order spiking SSM for classification and regression on ultra-long sequences. SHaRe-SSM outperforms transformers and first-order SSMs on average while eliminating matrix multiplications, making it highly suitable for resource-constrained applications. To ensure fast computation over tens of thousands of time steps, we leverage a parallel scan formulation of the underlying dynamical system. Furthermore, we introduce a kernel-based spiking regressor, which enables the accurate modelling of dependencies in sequences of up to 50k steps. Our results demonstrate that SHaRe-SSM achieves superior long-range modelling capability with energy efficiency (52.1x less than ANN-based second order SSM), positioning it as a strong candidate for resource-constrained devices such as wearables
format Preprint
id arxiv_https___arxiv_org_abs_2510_14386
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ASecond-Order SpikingSSM for Wearables
Agrawal, Kartikay
Vikram, Abhijeet
Sharma, Vedant
Nagabhushana, Vaishnavi
Borthakur, Ayon
Machine Learning
Neural and Evolutionary Computing
Spiking neural networks have garnered increasing attention due to their energy efficiency, multiplication-free computation, and sparse event-based processing. In parallel, state space models have emerged as scalable alternatives to transformers for long-range sequence modelling by avoiding quadratic dependence on sequence length. We propose SHaRe-SSM (Spiking Harmonic Resonate-and-Fire State Space Model), a second-order spiking SSM for classification and regression on ultra-long sequences. SHaRe-SSM outperforms transformers and first-order SSMs on average while eliminating matrix multiplications, making it highly suitable for resource-constrained applications. To ensure fast computation over tens of thousands of time steps, we leverage a parallel scan formulation of the underlying dynamical system. Furthermore, we introduce a kernel-based spiking regressor, which enables the accurate modelling of dependencies in sequences of up to 50k steps. Our results demonstrate that SHaRe-SSM achieves superior long-range modelling capability with energy efficiency (52.1x less than ANN-based second order SSM), positioning it as a strong candidate for resource-constrained devices such as wearables
title ASecond-Order SpikingSSM for Wearables
topic Machine Learning
Neural and Evolutionary Computing
url https://arxiv.org/abs/2510.14386