用脉冲神经网络建模多变量时间序列的相互依赖关系,节能又准确。
SpikF-GO: Spiking Fourier Graph Operators for Multivariate Time Series Forecasting
- 将多变量时间序列构造成图结构,通过脉冲驱动的傅里叶谱处理跨变量关系。
- 在8个基准上优于所有现有脉冲神经网络方法,能耗更低且嵌入维度更小。
- 首次在脉冲域实现图式多变量建模,适合低功耗时序预测场景。
脉冲神经网络(SNN)作为传统神经网络的节能替代方案,在计算机视觉和机器人领域表现出色。近年来,其被用于时间序列预测(TSF),研究涉及脉冲时间骨干、兼容脉冲的位置编码、傅里叶域处理及重构神经元动态。然而,现有SNN方法独立处理各变量,缺乏显式建模变量间依赖性的机制。这在多变量场景中尤为关键,因变量间相关性蕴含大量预测信息。本文提出脉冲傅里叶图算子(SpikF-GO),通过将每个标量观测视为图节点,结合脉冲驱动的谱处理,构建超变量图模型。SpikF-GO引入硬广义频率门实现可学习的稀疏频段选择,并设计复数LIF门,对傅里叶实部与虚部分别采用独立脉冲神经元,保持谱域二值事件驱动计算。进一步提出基于中央模式发生器的位置编码变体,增强长程时序建模能力。在统一实验协议下于8个基准测试,SpikF-GO在所有SNN方法中取得最优平均排名,性能超越其对应人工神经网络模型FourierGNN,同时能耗显著降低。即使在极小嵌入维度下仍保持竞争力,实现大幅能效提升。据我们所知,这是首个将图式多变量建模引入脉冲域进行时间序列预测的工作,也是首个在统一协议下对比多种SNN架构的系统性研究。
原文摘要 · Abstract (English)
Spiking Neural Networks (SNNs) have emerged as an energy-efficient alternative to conventional neural networks, demonstrating strong performance in computer vision and robotics. More recently, SNNs have been applied to time series forecasting (TSF), with methods exploring spiking temporal backbones, spike-compatible positional encodings, Fourier-domain processing, and redesigned neuron dynamics. However, existing SNN forecasting approaches process variables independently, lacking explicit mechanisms for modeling inter-variable dependencies. This is a critical limitation in multivariate settings, where cross-variable correlations carry substantial predictive information. We propose Spiking Fourier Graph Operators (SpikF-GO), which addresses this gap by combining a hypervariate graph formulation in which every scalar observation becomes a graph node with spike-driven spectral processing. SpikF-GO introduces a Hard Concrete frequency gate for learnable sparse frequency selection and a Complex LIF gate that applies independent spiking neurons to real and imaginary Fourier components, preserving binary, event-driven computation throughout the spectral domain. We further present a variant incorporating Central Pattern Generator-based positional encodings for stronger long-range temporal modeling. Evaluated on eight benchmarks under a unified experimental protocol, SpikF-GO achieves the best average rank among all SNN methods and outperforms its ANN counterpart, FourierGNN, at reduced energy cost. SpikF-GO maintains competitive accuracy even at substantially smaller embedding dimensions, thereby achieving significant energy reductions. To our knowledge, this is among the first works to bring graph-based multivariate modeling into the spiking domain for TSF and the first to provide a unified comparison across SNN forecasting architectures under a common experimental protocol.
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