ST-UNet: A Spatio-Temporal U-Network for Graph-structured Time Series Modeling
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Abstract (arXiv)
The spatio-temporal graph learning is becoming an increasingly important object of graph study. Many application domains involve highly dynamic graphs where temporal information is crucial, e.g. traffic networks and financial transaction graphs. Despite the constant progress made on learning structured data, there is still a lack of effective means to extract dynamic complex features from spatio-temporal structures. Particularly, conventional models such as convolutional networks or recurrent neural networks are incapable of revealing the temporal patterns in short or long terms and exploring the spatial properties in local or global scope from spatio-temporal graphs simultaneously. To tackle this problem, we design a novel multi-scale architecture, Spatio-Temporal U-Net (ST-UNet), for graph-structured time series modeling. In this U-shaped network, a paired sampling operation is proposed in spacetime domain accordingly: the pooling (ST-Pool) coarsens the input graph in spatial from its deterministic partition while abstracts multi-resolution temporal dependencies through dilated recurrent skip connections; based on previous settings in the downsampling, the unpooling (ST-Unpool) restores the original structure of spatio-temporal graphs and resumes regular intervals within graph sequences. Experiments on spatio-temporal prediction tasks demonstrate that our model effectively captures comprehensive features in multiple scales and achieves substantial improvements over mainstream methods on several real-world datasets.
Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 Mar 2019.
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Citing papers per year: 2021: 7; 2022: 2; 2023: 4; 2024: 3; 2025: 3.
19 papers.
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- 2021Graph Neural Network for Traffic Forecasting: A Surveycited by 261
- 2023A Survey on Graph Neural Networks for Time Series: Forecasting, Classification, Imputation, and Anomaly Detectioncited by 145
- 2022Thermodynamics-informed graph neural networkscited by 33
- 2021Group-Aware Graph Neural Network for Nationwide City Air Quality Forecastingcited by 32
- 2021Learning dynamic and hierarchical traffic spatiotemporal features with Transformercited by 26
- 2023Graph Deep Learning for Time Series Forecastingcited by 26
- 2024E(n) Equivariant Topological Neural Networkscited by 22
- 2023Graph-based Time Series Clustering for End-to-End Hierarchical Forecastingcited by 17
- 2024Graph-based Forecasting with Missing Data through Spatiotemporal Downsamplingcited by 17
- 2021HighAir: A Hierarchical Graph Neural Network-Based Air Quality Forecasting Methodcited by 12
- 2021Graph Neural Networks for Traffic Forecastingcited by 7
- 2021An Empirical Experiment on Deep Learning Models for Predicting Traffic Datacited by 4
7 more
- 2024LatticeGraphNet: A two-scale graph neural operator for simulating lattice structurescited by 2
- 2025Spatio-Temporal Graph Neural Network for Urban Spaces: Interpolating Citywide Traffic Volumecited by 2
- 2023An Efficient Two-stage Gradient Boosting Framework for Short-term Traffic State Estimationcited by 1
- 2025Recurrent U-Net-Based Graph Neural Network (RUGNN) for Accurate Deformation Predictions in Sheet Material Formingcited by 1
- 2021Incorporating Reachability Knowledge into a Multi-Spatial Graph Convolution Based Seq2Seq Model for Traffic Forecastingcited by 0
- 2022Spatial-Temporal Adaptive Graph Convolution with Attention Network for Traffic Forecastingcited by 0
- 2025MSA2-Net: Utilizing Self-Adaptive Convolution Module to Extract Multi-Scale Information in Medical Image Segmentationcited by 0
- 2025MSA2-Net: Utilizing Self-Adaptive Convolution Module to Extract Multi-Scale Information in Medical Image Segmentation1 Sep 2025
- 2025Recurrent U-Net-Based Graph Neural Network (RUGNN) for Accurate Deformation Predictions in Sheet Material Forming10 Jul 2025
- 2025Spatio-Temporal Graph Neural Network for Urban Spaces: Interpolating Citywide Traffic Volume7 May 2025
- 2024E(n) Equivariant Topological Neural Networks24 May 2024
- 2024Graph-based Forecasting with Missing Data through Spatiotemporal Downsampling16 Feb 2024
- 2024LatticeGraphNet: A two-scale graph neural operator for simulating lattice structures1 Feb 2024
- 2023Graph Deep Learning for Time Series Forecasting24 Oct 2023
- 2023A Survey on Graph Neural Networks for Time Series: Forecasting, Classification, Imputation, and Anomaly Detection7 Jul 2023
- 2023Graph-based Time Series Clustering for End-to-End Hierarchical Forecasting30 May 2023
- 2023An Efficient Two-stage Gradient Boosting Framework for Short-term Traffic State Estimation21 Feb 2023
- 2022Spatial-Temporal Adaptive Graph Convolution with Attention Network for Traffic Forecasting7 Jun 2022
- 2022Thermodynamics-informed graph neural networks3 Mar 2022
7 more
- 2021Group-Aware Graph Neural Network for Nationwide City Air Quality Forecasting27 Aug 2021
- 2021Incorporating Reachability Knowledge into a Multi-Spatial Graph Convolution Based Seq2Seq Model for Traffic Forecasting4 Jul 2021
- 2021An Empirical Experiment on Deep Learning Models for Predicting Traffic Data12 May 2021
- 2021Graph Neural Networks for Traffic Forecasting27 Apr 2021
- 2021Learning dynamic and hierarchical traffic spatiotemporal features with Transformer12 Apr 2021
- 2021Graph Neural Network for Traffic Forecasting: A Survey27 Jan 2021
- 2021HighAir: A Hierarchical Graph Neural Network-Based Air Quality Forecasting Method12 Jan 2021
- 2021Graph Neural Network for Traffic Forecasting: A Surveycited by 261
- 2023A Survey on Graph Neural Networks for Time Series: Forecasting, Classification, Imputation, and Anomaly Detectioncited by 145
- 2022Thermodynamics-informed graph neural networkscited by 33
- 2021Group-Aware Graph Neural Network for Nationwide City Air Quality Forecastingcited by 32
- 2021Learning dynamic and hierarchical traffic spatiotemporal features with Transformercited by 26
- 2023Graph Deep Learning for Time Series Forecastingcited by 26
- 2024E(n) Equivariant Topological Neural Networkscited by 22
- 2023Graph-based Time Series Clustering for End-to-End Hierarchical Forecastingcited by 17
- 2024Graph-based Forecasting with Missing Data through Spatiotemporal Downsamplingcited by 17
- 2021HighAir: A Hierarchical Graph Neural Network-Based Air Quality Forecasting Methodcited by 12
- 2021Graph Neural Networks for Traffic Forecastingcited by 7
- 2021An Empirical Experiment on Deep Learning Models for Predicting Traffic Datacited by 4
12 most cited of 19 All 19 (JSON)
- 2025MSA2-Net: Utilizing Self-Adaptive Convolution Module to Extract Multi-Scale Information in Medical Image Segmentation1 Sep 2025
- 2025Recurrent U-Net-Based Graph Neural Network (RUGNN) for Accurate Deformation Predictions in Sheet Material Forming10 Jul 2025
- 2025Spatio-Temporal Graph Neural Network for Urban Spaces: Interpolating Citywide Traffic Volume7 May 2025
- 2024E(n) Equivariant Topological Neural Networks24 May 2024
- 2024Graph-based Forecasting with Missing Data through Spatiotemporal Downsampling16 Feb 2024
- 2024LatticeGraphNet: A two-scale graph neural operator for simulating lattice structures1 Feb 2024
- 2023Graph Deep Learning for Time Series Forecasting24 Oct 2023
- 2023A Survey on Graph Neural Networks for Time Series: Forecasting, Classification, Imputation, and Anomaly Detection7 Jul 2023
- 2023Graph-based Time Series Clustering for End-to-End Hierarchical Forecasting30 May 2023
- 2023An Efficient Two-stage Gradient Boosting Framework for Short-term Traffic State Estimation21 Feb 2023
- 2022Spatial-Temporal Adaptive Graph Convolution with Attention Network for Traffic Forecasting7 Jun 2022
- 2022Thermodynamics-informed graph neural networks3 Mar 2022
12 newest of 19 All 19 (JSON)