arXiv:2603.02906cs.LGstat.ME2026-03

用多项式建模时间序列,兼顾预测精度与可解释性。

Towards Accurate and Interpretable Time-series Forecasting: A Polynomial Learning Approach

  • 通过多项式表示显式建模特征及其高阶交互
  • 在比特币和天线数据上实现高精度且可解释的预测
  • 适合需要早期预警与模型可解释性的工业场景

时间序列预测能实现早期预警,推动资产管理从计划维护转向预测维护。然而,现有方法缺乏可解释性,削弱用户信任并增加开发者调试难度。为此,本文提出可解释多项式学习(IPL)方法,通过多项式表达显式建模原始特征及其任意阶交互,将可解释性嵌入模型结构。该设计保留时序依赖关系,提供特征级可解释性,并可通过调节多项式阶数灵活权衡预测精度与可解释性。在模拟数据和比特币价格数据上的实验表明,IPL在保持高预测精度的同时,显著优于主流可解释性方法。在实测天线数据上的进一步验证显示,IPL能生成更简洁高效的早期预警机制。

原文摘要 · Abstract (English)

Time series forecasting enables early warning and has driven asset performance management from traditional planned maintenance to predictive maintenance. However, the lack of interpretability in forecasting methods undermines users' trust and complicates debugging for developers. Consequently, interpretable time-series forecasting has attracted increasing research attention. Nevertheless, existing methods suffer from several limitations, including insufficient modeling of temporal dependencies, lack of feature-level interpretability to support early warning, and difficulty in simultaneously achieving the accuracy and interpretability. This paper proposes the interpretable polynomial learning (IPL) method, which integrates interpretability into the model structure by explicitly modeling original features and their interactions of arbitrary order through polynomial representations. This design preserves temporal dependencies, provides feature-level interpretability, and offers a flexible trade-off between prediction accuracy and interpretability by adjusting the polynomial degree. We evaluate IPL on simulated and Bitcoin price data, showing that it achieves high prediction accuracy with superior interpretability compared with widely used explainability methods. Experiments on field-collected antenna data further demonstrate that IPL yields simpler and more efficient early warning mechanisms.

时间序列可解释性多项式

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