Explicit Future Pattern-Enhanced Multivariate Time Series Forecasting.

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Entropy Pub Date : 2026-09-19 DOI:10.3390/e28091031
Yaokang Li, Yunan Wei, Jing Cai, Wenbin Cheng, Yiting Lin
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引用次数: 0

Abstract

Multivariate time series forecasting requires models to infer future values and how the temporal structure evolves beyond the observation boundary. A central challenge is to define this evolution as an intermediate prediction and connect it to value forecasting. We propose explicit future pattern (EFP)-enhanced forecasting, which represents evolution as a multiscale change from the last observed pattern. A separately supervised predictor estimates this change from history, and a decoder combines the predicted pattern with historical behavior and variable relations. A mixed training strategy exposes the decoder to supervised, predicted, and perturbed patterns; inference requires only historical input. Experiments on nine public datasets and four forecasting horizons evaluate the forecasting accuracy and the contribution of explicit future patterns. Predicted patterns outperform shuffled patterns on all nine datasets, and the error increases in aggregate as sample alignment is weakened. Ablations support the roles of dynamic multiscale evolution, frequency information, and mixed training. These results indicate that explicit future patterns can provide useful, inspectable guidance for multivariate forecasting when their estimates remain aligned with the current sample.

显式未来模式增强多元时间序列预测。
多变量时间序列预测需要模型推断未来值以及时间结构如何在观测边界之外演变。一个核心挑战是将这种演变定义为一种中间预测,并将其与价值预测联系起来。我们提出了明确的未来模式(EFP)增强预测,它代表了从上一次观测模式到多尺度变化的进化。一个单独监督的预测器从历史中估计这种变化,而一个解码器将预测的模式与历史行为和变量关系结合起来。混合训练策略将解码器暴露在监督、预测和扰动模式中;推理只需要历史输入。在9个公共数据集和4个预测层面上进行了实验,评估了明确未来模式的预测精度和贡献。预测模式在所有9个数据集上都优于洗牌模式,并且随着样本一致性的减弱,误差总体上增加。消融支持动态多尺度演化、频率信息和混合训练的作用。这些结果表明,明确的未来模式可以为多元预测提供有用的、可检验的指导,当它们的估计与当前样本保持一致时。
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来源期刊
Entropy
Entropy PHYSICS, MULTIDISCIPLINARY-
CiteScore
4.90
自引率
11.10%
发文量
1580
审稿时长
21.05 days
期刊介绍: Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.
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