arXiv:2511.04244cs.LG2025-11

让时间序列分类结果可解释,用逻辑公式给出理由

Guided by Stars: Interpretable Concept Learning Over Time Series via Temporal Logic Semantics

  • 将时间序列直接映射到时序逻辑概念空间,实现分类与解释统一
  • 在真实数据集上达到媲美黑箱模型的准确率,且解释符合逻辑
  • 适合需要可信决策依据的安全关键场景,如医疗或工业监控

时间序列分类在安全关键应用中至关重要,但传统深度学习方法多为黑箱,难以理解预测依据。为此,我们提出 STELLE(信号时序逻辑嵌入用于逻辑驱动的学习与解释)框架,通过引入类时序逻辑(STL)的核函数,将原始时间序列映射到预定义 STL 公式的匹配程度,实现分类与解释的联合优化。每个预测均伴随最相关的逻辑概念作为解释,提供(i)个体预测的局部可读逻辑条件,和(ii)类别特征的全局逻辑公式。实验表明,STELLE 在多个真实世界基准上实现了具有竞争力的准确率,同时生成逻辑上忠实的解释。

原文摘要 · Abstract (English)

Time series classification is a task of paramount importance, as this kind of data often arises in safety-critical applications. However, it is typically tackled with black-box deep learning methods, making it hard for humans to understand the rationale behind their output. To take on this challenge, we propose a novel approach, STELLE (Signal Temporal logic Embedding for Logically-grounded Learning and Explanation), a neuro-symbolic framework that unifies classification and explanation through direct embedding of trajectories into a space of temporal logic concepts. By introducing a novel STL-inspired kernel that maps raw time series to their alignment with predefined STL formulae, our model jointly optimises accuracy and interpretability, as each prediction is accompanied by the most relevant logical concepts that characterise it. This yields (i) local explanations as human-readable STL conditions justifying individual predictions, and (ii) global explanations as class-characterising formulae. Experiments demonstrate that STELLE achieves competitive accuracy while providing logically faithful explanations, validated on diverse real-world benchmarks.

时间序列可解释性时序逻辑神经符号

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