Hierarchical Joint Graph Learning and Multivariate Time Series Forecasting

Published: 20 Oct 2023, Last Modified: 21 Nov 2023TGL Workshop 2023 LongPaperEveryoneRevisionsBibTeX
Keywords: Multivariate Time Series Forecasting, Graph Neural Network, Structure Learning, Self-Attention
TL;DR: The study proposes a method to model multivariate time series as a graph, using graph neural networks and attention mechanisms to capture complex temporal dependencies.
Abstract: Multivariate time series is prevalent in many scientific and industrial domains. Modeling multivariate signals is challenging due to their long-range temporal dependencies and intricate interactions--both direct and indirect. To confront these complexities, we introduce a method of representing multivariate signals as nodes in a graph with edges indicating interdependency between them. Specifically, we leverage graph neural networks (GNN) and attention mechanisms to efficiently learn the underlying relationships within the time series data. Moreover, we suggest employing hierarchical signal decompositions running over the graphs to capture multiple spatial dependencies. The effectiveness of our proposed model is evaluated across various real-world benchmark datasets designed for long-term forecasting tasks. The results consistently showcase the superiority of our model, achieving an average 23\% reduction in mean squared error (MSE) compared to existing models.
Format: Long paper, up to 8 pages. If the reviewers recommend it to be changed to a short paper, I would be willing to revise my paper to fit within 4 pages.
Submission Number: 12
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