arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1710.00569stat.ML
收藏

具有未知预测任务簇的预测时间序列系统的学习预测领先指标

Learning Predictive Leading Indicators for Forecasting Time Series Systems with Unknown Clusters of Forecast Tasks

Magda Gregorova, Alexandros Kalousis, Stephane Marchand-Maillet

摘要:

提出了一种新的预测多个相关时间序列系统的方法。该方法学习预测模型,同时从系统内部发现领先指标,这些指标作为良好的预测器,提高了预测准确性和预测任务的聚类结构。该方法是基于经典的线性向量自回归模型(VAR)和链接的领先指标的发现,推断稀疏图的格兰杰因果关系。我们制定了一个新的约束优化问题,以促进所需的稀疏结构的模型和多任务的方式在学习任务之间的信息共享。我们提出了一种算法来解决这个问题,并在一系列合成和真实数据实验中证明了我们的新方法相对于基线VAR模型以及最先进的稀疏VAR学习方法的优势。

英文摘要:

We present a new method for forecasting systems of multiple interrelated time series. The method learns the forecast models together with discovering leading indicators from within the system that serve as good predictors improving the forecast accuracy and a cluster structure of the predictive tasks around these. The method is based on the classical linear vector autoregressive model (VAR) and links the discovery of the leading indicators to inferring sparse graphs of Granger causality. We formulate a new constrained optimisation problem to promote the desired sparse structures across the models and the sharing of information amongst the learning tasks in a multi-task manner. We propose an algorithm for solving the problem and document on a battery of synthetic and real-data experiments the advantages of our new method over baseline VAR models as well as the state-of-the-art sparse VAR learning methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑