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MLGO: Multi-Layer graph neural ODEs for traffic forecasting.

Mengzhou Gao1, Huangqian Yu1, Pengfei Jiao1

  • 1School of Cyberspace, Hangzhou Dianzi University, Hangzhou, 310018, China.

Neural Networks : the Official Journal of the International Neural Network Society
|January 20, 2026
PubMed
Summary
This summary is machine-generated.

Multi-Layer Graph neural Ordinary differential equations (MLGO) enhance traffic forecasting by integrating diverse spatial structures. This approach captures complex spatial correlations better than single-structure methods.

Keywords:
Multi-layer graphsNeural ODEsSpatial-Temporal graphsTime seriesTraffic forecasting

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Traffic Engineering

Background:

  • Spatial-temporal graph neural networks are key for traffic forecasting due to network structure.
  • Existing models underutilize spatial correlations, often using single, fixed, or adaptive graph structures.
  • This limitation hinders comprehensive modeling of diverse spatial dependencies in traffic networks.

Purpose of the Study:

  • To propose a novel framework, Multi-Layer Graph neural Ordinary differential equations (MLGO), for enhanced spatial representation in traffic forecasting.
  • To integrate multiple complementary graph structures for a more robust spatial modeling approach.
  • To improve the accuracy and interpretability of traffic forecasting models.

Main Methods:

  • Developed a multi-layer graph architecture integrating time-varying, predefined road network, and adaptive graphs.
  • Employed neural ordinary differential equations for inter-layer and intra-layer spatial aggregation.
  • Ensured temporal continuity within the spatial modeling framework.

Main Results:

  • MLGO demonstrated superior performance compared to state-of-the-art baselines across five real-world traffic datasets.
  • The integrated multi-layer graph approach effectively captures complex spatial correlations.
  • The framework offers improved interpretability through explicit and complementary graph structures.

Conclusions:

  • MLGO provides a general and extensible solution for leveraging diverse spatial information in traffic forecasting.
  • The integration of multiple graph structures significantly enhances spatial-temporal modeling capabilities.
  • The proposed method represents a significant advancement in accurate and interpretable traffic prediction.