arXiv:2608.29012cs.AI2026-08

提出可解释的时序模型,直接识别物理频段,兼顾精度与可读性。

Frequency Selective Neural Networks as a Foundation Architecture for Time Series Learning

论文配图:Frequency Selective Neural Networks as a Foundation Architecture for Time Series Learning
图 1 · 摘自论文原文
  • 构建频带选择神经网络,用可微分滤波器自动提取物理频段
  • 在10个标准数据集上平均准确率达77.0%,PTB-XL上全面领先
  • 结果可解释为真实生理频带,适合医疗等高可信场景

跨物理与生物领域的时序数据本质上由复杂非平稳振荡模式驱动。尽管卷积网络、循环网络和Transformer等深度学习模型主导序列分析,但它们本质上“频谱盲视”——将连续物理波映射到无约束空间或离散标记空间,导致严重频谱纠缠,成为解耦预测精度与物理现实的黑箱。本文提出频带选择神经网络(FSNN),开创一种保证物理可解释性又不失深度学习表达能力的基础架构。通过将先进信号处理的严格数学嵌入神经拓扑,并利用复数域反向传播优化全可微维纳类滤波器组,FSNN能自主发现并分离特定任务的精确物理模式。大量评估表明,FSNN在标准10个多元UEA数据集上达到77.0%平均准确率,在高度不平衡的PTB-XL临床心电图基准上各项指标均领先。关键在于,不同于生成抽象特征图,FSNN直接收敛至具有物理意义的频率带,如分离出心脏QRS波群,为复杂时间域提供可扩展、可解释的鲁棒模式识别范式。代码已开源:https://github.com/ad6174hhhh/FSNN。

原文摘要 · Abstract (English)

Time-series data across physical and biological domains are fundamentally driven by complex, non-stationary oscillatory modes. While deep learning models, such as Convolutional Neural Networks (CNNs), Recurrent Neural Networks, and Transformers, have dominated sequential analysis, they remain fundamentally "spectral-blind". By mapping continuous physical waves into unconstrained spatial or discrete token spaces, these architectures suffer from severe spectral entanglement, acting as opaque black boxes that decouple predictive accuracy from physical reality. In this paper, we introduce the Frequency Selective Neural Network (FSNN), pioneering a foundation architecture guaranteeing physical interpretability without sacrificing expressive power of deep learning. FSNN addresses spectral entanglement by explicitly embedding the rigorous mathematics of advanced signal processing into its neural topology. Through a fully differentiable Wiener-like filter bank optimized via complex-domain backpropagation, FSNN autonomously discovers and isolates the precise physical modes of a given task. Extensive evaluations demonstrate that FSNN establishes state-of-the-art predictive performance, achieving $77.0\%$ average accuracy on the standard 10 multivariate UEA datasets and leading across all major metrics on the highly imbalanced PTB-XL clinical ECG benchmark. Crucially, in contrast to yielding abstract feature maps, FSNN converges directly on physically meaningful frequency bands, such as isolating the cardiac QRS complex, providing a highly scalable, interpretable paradigm for robust pattern recognition in complex temporal domains. Our code is available at: https://github.com/ad6174hhhh/FSNN.

时序建模可解释性频域分析

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