arXiv:2510.04667cs.LGcs.AI2025-10被引 1

揭示时间序列归一化中简单方法的惊人效果与盲目改进的隐患

Noise or Signal? Deconstructing Contradictions and An Adaptive Remedy for Reversible Normalization in Time Series Forecasting

  • 通过诊断分析发现归一化策略存在四大理论矛盾
  • 标准RevIN在极端异常值下误差飙升683%,而R²-IN反而表现最佳
  • 自适应模型因启发式设计失败,警示盲目优化的风险

Reversible Instance Normalization (RevIN) 是使简单线性模型在时间序列预测中达到顶尖性能的关键技术。尽管用稳健统计量替代其非鲁棒统计量(称为 R²-IN)看似合理,但我们的研究揭示了更复杂的现实。本文通过剖析多种归一化策略的表现,识别出四个深层理论矛盾。实验表明:第一,标准 RevIN 在含有极端异常值的数据集上表现灾难性崩溃,均方误差(MSE)激增683%;第二,虽然简单的 R²-IN 避免了这一问题,并意外成为整体最优方案,但我们设计的诊断驱动启发式自适应模型(A-IN)却出现系统性彻底失败。这一反常结果揭示了一个被忽视的关键陷阱:简单或反直觉的启发式方法引入的不稳定性,可能比其所试图解决的统计问题更具破坏性。本工作的核心贡献是提出一种新的、具有警示意义的时间序列归一化范式:从盲目追求复杂性转向基于诊断的分析,以揭示简单基线的惊人威力以及朴素适配的潜在危险。

原文摘要 · Abstract (English)

Reversible Instance Normalization (RevIN) is a key technique enabling simple linear models to achieve state-of-the-art performance in time series forecasting. While replacing its non-robust statistics with robust counterparts (termed R$^2$-IN) seems like a straightforward improvement, our findings reveal a far more complex reality. This paper deconstructs the perplexing performance of various normalization strategies by identifying four underlying theoretical contradictions. Our experiments provide two crucial findings: first, the standard RevIN catastrophically fails on datasets with extreme outliers, where its MSE surges by a staggering 683\%. Second, while the simple R$^2$-IN prevents this failure and unexpectedly emerges as the best overall performer, our adaptive model (A-IN), designed to test a diagnostics-driven heuristic, unexpectedly suffers a complete and systemic failure. This surprising outcome uncovers a critical, overlooked pitfall in time series analysis: the instability introduced by a simple or counter-intuitive heuristic can be more damaging than the statistical issues it aims to solve. The core contribution of this work is thus a new, cautionary paradigm for time series normalization: a shift from a blind search for complexity to a diagnostics-driven analysis that reveals not only the surprising power of simple baselines but also the perilous nature of naive adaptation.

时间序列归一化异常检测模型诊断

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