arXiv:2603.24254cs.LGcs.AI2026-03

提出动态波动建模方法,让预测不确定性随时间演变更真实。

Beyond Static Uncertainty: Modeling Temporal Uncertainty Dynamics for Probabilistic Time Series Forecasting

  • 用递归尺度路径捕捉波动率的时序演化,生成连贯的预测方差。
  • 在9个基准上同时提升预测精度与不确定性校准效果,推理速度快。
  • 适合需要精准风险评估的时间序列任务,如金融或能源预测。

现实世界的时间序列具有结构化的时序不确定性:波动率在动荡期聚集,在稳定期消散,并在结构突变处急剧变化。然而,多数概率预测方法将预测不确定性视为独立的每步量,忽略了波动率状态的演化与持续性。本文将这一缺失维度形式化为时序不确定性动态,并提出非自回归生成预测器VolDy-VAE,其采用位置-尺度解码器结构。该模型通过位置路径预测均值,同时用递归尺度路径将回顾窗口中的波动率隐状态传递并演化至预测范围,实现时序一致的预测方差。该设计带来自适应衰减机制:高方差观测对位置估计影响减弱,但其不确定性通过显式尺度预测得以保留。进一步的简化分段分析表明,当方差已知或一致估计时,该波动率感知目标等价于逆方差加权;而基于MSE的估计器虽无偏,但统计效率较低。在9个基准上的实验显示,VolDy-VAE在竞争性概率与点预测基线上均提升准确性与不确定性校准,且保持低推理延迟;插件研究还表明,该原理可增强GAN、Koopman VAE和Transformer骨干网络的表现。源代码公开于 https://github.com/wangyijunlyy/VolDy-VAE。

原文摘要 · Abstract (English)

Real-world time series exhibit temporally structured uncertainty: volatility clusters in turbulent regimes, dissipates in stable periods, and shifts abruptly around structural breaks. Yet many probabilistic forecasting methods estimate predictive uncertainty as an independent per-step quantity, leaving the evolution and persistence of volatility regimes under-modeled. We formalize this missing dimension as temporal uncertainty dynamics and instantiate it in the Volatility Dynamics Variational Autoencoder (VolDy-VAE), a non-autoregressive generative forecaster with a location-scale decoder. VolDy-VAE combines a location path for mean prediction with a recurrent scale path that transfers and evolves a volatility hidden state from the look-back window to the forecasting horizon, enabling temporally coherent predictive variances. This design yields an adaptive attenuation mechanism: high-variance observations receive lower influence on the location estimate while their uncertainty is preserved through explicit scale predictions. We further provide a simplified regime-switching analysis showing that, when variances are known or consistently estimated, the volatility-aware objective reduces to inverse-variance weighting, whereas MSE-based estimators remain unbiased but statistically inefficient. Experiments on nine benchmarks show that VolDy-VAE improves forecasting accuracy and uncertainty calibration over competitive probabilistic and point-forecasting baselines while maintaining low inference latency; plug-in studies further indicate that the VolDy principle can benefit GAN, Koopman VAE, and Transformer backbones. The source code is publicly available at https://github.com/wangyijunlyy/VolDy-VAE.

时间序列不确定性建模生成模型波动率

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。