mlsanityData to 7 Oct 2026

Pre-training Enhanced Spatial-temporal Graph Neural Network for Multivariate Time Series Forecasting

arXiv 2206.09113 ↗First posted 18 Jun 2022cs.LGcited by 117

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Abstract (arXiv)

Multivariate Time Series (MTS) forecasting plays a vital role in a wide range of applications. Recently, Spatial-Temporal Graph Neural Networks (STGNNs) have become increasingly popular MTS forecasting methods. STGNNs jointly model the spatial and temporal patterns of MTS through graph neural networks and sequential models, significantly improving the prediction accuracy. But limited by model complexity, most STGNNs only consider short-term historical MTS data, such as data over the past one hour. However, the patterns of time series and the dependencies between them (i.e., the temporal and spatial patterns) need to be analyzed based on long-term historical MTS data. To address this issue, we propose a novel framework, in which STGNN is Enhanced by a scalable time series Pre-training model (STEP). Specifically, we design a pre-training model to efficiently learn temporal patterns from very long-term history time series (e.g., the past two weeks) and generate segment-level representations. These representations provide contextual information for short-term time series input to STGNNs and facilitate modeling dependencies between time series. Experiments on three public real-world datasets demonstrate that our framework is capable of significantly enhancing downstream STGNNs, and our pre-training model aptly captures temporal patterns.

Key facts. Cited by 117 papers in the map (data through 7 Oct 2026). Builds on 27 of its 41 references that are in the map. First posted on arXiv 18 Jun 2022.

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27 of 41 references.

References · 27

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15 more
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  2. 2017Spatio-Temporal Graph Convolutional Networks: A Deep Learning Framework for Traffic Forecastingcited by 1,125
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  4. 2020Connecting the Dots: Multivariate Time Series Forecasting with Graph Neural Networkscited by 563
  5. 2020Adaptive Graph Convolutional Recurrent Network for Traffic Forecastingcited by 525
  6. 2020Pre-trained Models for Natural Language Processing: A Surveycited by 504
  7. 2020A Transformer-based Framework for Multivariate Time Series Representation Learningcited by 449
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Citing papers per year: 2022: 4; 2023: 31; 2024: 40; 2025: 25; 2026: 17.

117 papers.

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  1. 2024Foundation Models for Time Series Analysis: A Tutorial and Surveycited by 234
  2. 2023GraphGPT: Graph Instruction Tuning for Large Language Modelscited by 223
  3. 2022Spatial-Temporal Identity: A Simple yet Effective Baseline for Multivariate Time Series Forecastingcited by 149
  4. 2023A Survey on Graph Neural Networks for Time Series: Forecasting, Classification, Imputation, and Anomaly Detectioncited by 145
  5. 2023Spatio-Temporal Graph Neural Networks for Predictive Learning in Urban Computing: A Surveycited by 140
  6. 2023Exploring Progress in Multivariate Time Series Forecasting: Comprehensive Benchmarking and Heterogeneity Analysiscited by 113
  7. 2023Large Models for Time Series and Spatio-Temporal Data: A Survey and Outlookcited by 109
  8. 2023Self-Supervised Learning for Time Series Analysis: Taxonomy, Progress, and Prospectscited by 97
  9. 2022Spatio-Temporal Meta-Graph Learning for Traffic Forecastingcited by 88
  10. 2024UniST: A Prompt-Empowered Universal Model for Urban Spatio-Temporal Predictioncited by 86
  11. 2024UrbanGPT: Spatio-Temporal Large Language Modelscited by 81
  12. 2022AirFormer: Predicting Nationwide Air Quality in China with Transformerscited by 73
38 more
  1. 2023Ti-MAE: Self-Supervised Masked Time Series Autoencoderscited by 63
  2. 2023A Survey on Time-Series Pre-Trained Modelscited by 52
  3. 2023ImputeFormer: Low Rankness-Induced Transformers for Generalizable Spatiotemporal Imputationcited by 50
  4. 2023DSformer: A Double Sampling Transformer for Multivariate Time Series Long-term Predictioncited by 49
  5. 2023Causal Discovery from Temporal Data: An Overview and New Perspectivescited by 43
  6. 2023Spatial-Temporal-Decoupled Masked Pre-training for Spatiotemporal Forecastingcited by 27
  7. 2024OpenCity: Open Spatio-Temporal Foundation Models for Traffic Predictioncited by 27
  8. 2023Fully-Connected Spatial-Temporal Graph for Multivariate Time-Series Datacited by 23
  9. 2024Towards Urban General Intelligence: A Review and Outlook of Urban Foundation Modelscited by 23
  10. 2025Foundation Models for Spatio-Temporal Data Science: A Tutorial and Surveycited by 23
  11. 2023Cross-city Few-Shot Traffic Forecasting via Traffic Pattern Bankcited by 22
  12. 2023Large Pre-trained time series models for cross-domain Time series analysis taskscited by 22
  13. 2023PromptST: Prompt-Enhanced Spatio-Temporal Multi-Attribute Predictioncited by 20
  14. 2024GinAR: An End-To-End Multivariate Time Series Forecasting Model Suitable for Variable Missingcited by 20
  15. 2023Disentangling Structured Components: Towards Adaptive, Interpretable and Scalable Time Series Forecastingcited by 19
  16. 2023Irregular Traffic Time Series Forecasting Based on Asynchronous Spatio-Temporal Graph Convolutional Networkcited by 19
  17. 2025Merlin: Multi-View Representation Learning for Robust Multivariate Time Series Forecasting with Unfixed Missing Ratescited by 19
  18. 2024Parsimony or Capability? Decomposition Delivers Both in Long-term Time Series Forecastingcited by 18
  19. 2024FlashST: A Simple and Universal Prompt-Tuning Framework for Traffic Predictioncited by 18
  20. 2024RPMixer: Shaking Up Time Series Forecasting with Random Projections for Large Spatial-Temporal Datacited by 17
  21. 2024BIGCity: A Universal Spatiotemporal Model for Unified Trajectory and Traffic State Data Analysiscited by 16
  22. 2025PPGF: Probability Pattern-Guided Time Series Forecastingcited by 16
  23. 2024Generative Pretrained Hierarchical Transformer for Time Series Forecastingcited by 15
  24. 2023GPT-ST: Generative Pre-Training of Spatio-Temporal Graph Neural Networkscited by 14
  25. 2024Spatio-Temporal Few-Shot Learning via Diffusive Neural Network Generationcited by 14
  26. 2024A Survey of Generative Techniques for Spatial-Temporal Data Miningcited by 14
  27. 2024TimeDART: A Diffusion Autoregressive Transformer for Self-Supervised Time Series Representationcited by 14
  28. 2023HUTFormer: Hierarchical U-Net Transformer for Long-Term Traffic Forecastingcited by 12
  29. 2023STAEformer: Spatio-Temporal Adaptive Embedding Makes Vanilla Transformer SOTA for Traffic Forecastingcited by 12
  30. 2025Multi-period Learning for Financial Time Series Forecastingcited by 11
  31. 2024Diffusion Transformers as Open-World Spatiotemporal Foundation Modelscited by 10
  32. 2025Deep Learning for Time Series Forecasting: A Surveycited by 10
  33. 2025Unraveling Spatio-Temporal Foundation Models via the Pipeline Lens: A Comprehensive Reviewcited by 10
  34. 2024ST-LoRA: Low-rank Adaptation for Spatio-Temporal Forecastingcited by 9
  35. 2024Prompt-Based Spatio-Temporal Graph Transfer Learningcited by 9
  36. 2024A Systematic Literature Review of Spatio-Temporal Graph Neural Network Models for Time Series Forecasting and Classificationcited by 9
  37. 2025Message-Passing State-Space Models: Improving Graph Learning with Modern Sequence Modelingcited by 9
  38. 2023A Co-training Approach for Noisy Time Series Learningcited by 8

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