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Select, then Balance: Exploring Exogenous Variable Modeling of Spatio-Temporal Forecasting

arXiv 2509.05779 ↗First posted 6 Sep 2025cs.LGcited by 0

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Abstract (arXiv)

Spatio-temporal (ST) forecasting is critical for dynamic systems, yet existing methods predominantly rely on modeling a limited set of observed target variables. In this paper, we present the first systematic exploration of exogenous variable modeling for ST forecasting, a topic long overlooked in this field. We identify two core challenges in integrating exogenous variables: the inconsistent effects of distinct variables on the target system and the imbalance effects between historical and future data. To address these, we propose ExoST, a simple yet effective exogenous variable modeling general framework highly compatible with existing ST backbones that follows a "select, then balance" paradigm. Specifically, we design a latent space gated expert module to dynamically select and recompose salient signals from fused exogenous information. Furthermore, a siamese dual-branch backbone architecture captures dynamic patterns from the recomposed past and future representations, integrating them via a context-aware weighting mechanism to ensure dynamic balance. Extensive experiments on real-world datasets demonstrate the ExoST's effectiveness, universality, robustness, and efficiency.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 35 of its 65 references that are in the map. First posted on arXiv 6 Sep 2025.

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References · 35

  1. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,509
  2. 2022A Time Series is Worth 64 Words: Long-term Forecasting with Transformerscited by 2,039
  3. 2017Spatio-Temporal Graph Convolutional Networks: A Deep Learning Framework for Traffic Forecastingcited by 1,136
  4. 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,058
  5. 2019Graph WaveNet for Deep Spatial-Temporal Graph Modelingcited by 829
  6. 2024Chronos: Learning the Language of Time Seriescited by 759
  7. 2020Adaptive Graph Convolutional Recurrent Network for Traffic Forecastingcited by 530
  8. 2023Long-term Forecasting with TiDE: Time-series Dense Encodercited by 332
  9. 2024TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variablescited by 248
  10. 2024OpenMoE: An Early Effort on Open Mixture-of-Experts Language Modelscited by 187
  11. 2023TEST: Text Prototype Aligned Embedding to Activate LLM's Ability for Time Seriescited by 169
  12. 2024Are Language Models Actually Useful for Time Series Forecasting?cited by 168
23 more
  1. 2023A Survey on Graph Neural Networks for Time Series: Forecasting, Classification, Imputation, and Anomaly Detectioncited by 145
  2. 2023Spatio-Temporal Graph Neural Networks for Predictive Learning in Urban Computing: A Surveycited by 140
  3. 2023LLM4TS: Aligning Pre-Trained LLMs as Data-Efficient Time-Series Forecasterscited by 129
  4. 2023Exploring Progress in Multivariate Time Series Forecasting: Comprehensive Benchmarking and Heterogeneity Analysiscited by 117
  5. 2024DUET: Dual Clustering Enhanced Multivariate Time Series Forecastingcited by 107
  6. 2024TimeCMA: Towards LLM-Empowered Multivariate Time Series Forecasting via Cross-Modality Alignmentcited by 103
  7. 2024Spatial-Temporal Large Language Model for Traffic Predictioncited by 83
  8. 2024UrbanGPT: Spatio-Temporal Large Language Modelscited by 81
  9. 2022AirFormer: Predicting Nationwide Air Quality in China with Transformerscited by 73
  10. 2021Neural basis expansion analysis with exogenous variables: Forecasting electricity prices with NBEATSxcited by 64
  11. 2024Position: What Can Large Language Models Tell Us about Time Series Analysiscited by 47
  12. 2025ChronosX: Adapting Pretrained Time Series Models with Exogenous Variablescited by 23
  13. 2025CrossLinear: Plug-and-Play Cross-Correlation Embedding for Time Series Forecasting with Exogenous Variablescited by 22
  14. 2022Multivariate Time Series Forecasting with Latent Graph Inferencecited by 20
  15. 2025Spatiotemporal-aware Trend-Seasonality Decomposition Network for Traffic Flow Forecastingcited by 19
  16. 2024STBench: Assessing the Ability of Large Language Models in Spatio-Temporal Analysiscited by 11
  17. 2024ClimateIQA: A New Dataset and Benchmark to Advance Vision-Language Models in Meteorology Anomalies Analysiscited by 10
  18. 2024Expand and Compress: Exploring Tuning Principles for Continual Spatio-Temporal Graph Forecastingcited by 10
  19. 2025Learning with Calibration: Exploring Test-Time Computing of Spatio-Temporal Forecastingcited by 9
  20. 2024Towards Robust Trajectory Representations: Isolating Environmental Confounders with Causal Learningcited by 4
  21. 2025Spatiotemporal Causal Decoupling Model for Air Quality Forecastingcited by 4
  22. 2025Large Language Model Powered Intelligent Urban Agents: Concepts, Capabilities, and Applicationscited by 4
  23. 2025A Modular Multitask Reasoning Framework Integrating Spatio-temporal Models and LLMscited by 3

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