arXiv:2507.14516cs.LGcs.AI2025-07被引 1

提出结构感知度量SDSC,提升时序信号自监督学习的语义对齐能力。

SDSC:A Structure-Aware Metric for Semantic Signal Representation Learning

  • 基于符号幅值交集定义结构感知度量SDSC,捕捉波形结构一致性
  • 在预测与分类任务中,相比MSE性能相当或更优,低资源场景下优势显著
  • 适用于注重波形结构的信号表征学习,如生物信号、工业传感器数据

我们提出信号骰子相似度系数(SDSC),一种用于时序信号自监督表示学习的结构感知度量函数。现有信号自监督学习方法多采用均方误差(MSE)等基于距离的目标,这类方法对幅度敏感、对波形极性不变且无界,阻碍了语义对齐并降低可解释性。SDSC通过符号幅值交集量化时序信号间的结构一致性,源自骰子相似度系数(DSC)。尽管SDSC为结构感知度量,但可通过减1并使用可微分的Heaviside函数近似作为损失进行梯度优化。同时提出混合损失,结合SDSC与MSE,提升训练稳定性并保留必要幅度信息。在预测与分类基准上的实验表明,基于SDSC的预训练在域内及低资源场景下表现优于或相当於MSE,结果表明信号表示中的结构保真度能提升语义表示质量,支持结构感知度量作为传统距离方法的可行替代。

原文摘要 · Abstract (English)

We propose the Signal Dice Similarity Coefficient (SDSC), a structure-aware metric function for time series self-supervised representation learning. Most Self-Supervised Learning (SSL) methods for signals commonly adopt distance-based objectives such as mean squared error (MSE), which are sensitive to amplitude, invariant to waveform polarity, and unbounded in scale. These properties hinder semantic alignment and reduce interpretability. SDSC addresses this by quantifying structural agreement between temporal signals based on the intersection of signed amplitudes, derived from the Dice Similarity Coefficient (DSC).Although SDSC is defined as a structure-aware metric, it can be used as a loss by subtracting from 1 and applying a differentiable approximation of the Heaviside function for gradient-based optimization. A hybrid loss formulation is also proposed to combine SDSC with MSE, improving stability and preserving amplitude where necessary. Experiments on forecasting and classification benchmarks demonstrate that SDSC-based pre-training achieves comparable or improved performance over MSE, particularly in in-domain and low-resource scenarios. The results suggest that structural fidelity in signal representations enhances the semantic representation quality, supporting the consideration of structure-aware metrics as viable alternatives to conventional distance-based methods.

自监督学习时序信号结构感知

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