HyperIMTS: Hypergraph Neural Network for Irregular Multivariate Time Series Forecasting

Fuente: arXiv
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Auteurs principaux: Li, Boyuan, Luo, Yicheng, Liu, Zhen, Zheng, Junhao, Lv, Jianming, Ma, Qianli
Format: Preprint
Publié: 2025
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author Li, Boyuan
Luo, Yicheng
Liu, Zhen
Zheng, Junhao
Lv, Jianming
Ma, Qianli
author_facet Li, Boyuan
Luo, Yicheng
Liu, Zhen
Zheng, Junhao
Lv, Jianming
Ma, Qianli
contents Irregular multivariate time series (IMTS) are characterized by irregular time intervals within variables and unaligned observations across variables, posing challenges in learning temporal and variable dependencies. Many existing IMTS models either require padded samples to learn separately from temporal and variable dimensions, or represent original samples via bipartite graphs or sets. However, the former approaches often need to handle extra padding values affecting efficiency and disrupting original sampling patterns, while the latter ones have limitations in capturing dependencies among unaligned observations. To represent and learn both dependencies from original observations in a unified form, we propose HyperIMTS, a Hypergraph neural network for Irregular Multivariate Time Series forecasting. Observed values are converted as nodes in the hypergraph, interconnected by temporal and variable hyperedges to enable message passing among all observations. Through irregularity-aware message passing, HyperIMTS captures variable dependencies in a time-adaptive way to achieve accurate forecasting. Experiments demonstrate HyperIMTS's competitive performance among state-of-the-art models in IMTS forecasting with low computational cost.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17431
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle HyperIMTS: Hypergraph Neural Network for Irregular Multivariate Time Series Forecasting
Li, Boyuan
Luo, Yicheng
Liu, Zhen
Zheng, Junhao
Lv, Jianming
Ma, Qianli
Machine Learning
Irregular multivariate time series (IMTS) are characterized by irregular time intervals within variables and unaligned observations across variables, posing challenges in learning temporal and variable dependencies. Many existing IMTS models either require padded samples to learn separately from temporal and variable dimensions, or represent original samples via bipartite graphs or sets. However, the former approaches often need to handle extra padding values affecting efficiency and disrupting original sampling patterns, while the latter ones have limitations in capturing dependencies among unaligned observations. To represent and learn both dependencies from original observations in a unified form, we propose HyperIMTS, a Hypergraph neural network for Irregular Multivariate Time Series forecasting. Observed values are converted as nodes in the hypergraph, interconnected by temporal and variable hyperedges to enable message passing among all observations. Through irregularity-aware message passing, HyperIMTS captures variable dependencies in a time-adaptive way to achieve accurate forecasting. Experiments demonstrate HyperIMTS's competitive performance among state-of-the-art models in IMTS forecasting with low computational cost.
title HyperIMTS: Hypergraph Neural Network for Irregular Multivariate Time Series Forecasting
topic Machine Learning
url https://arxiv.org/abs/2505.17431