Graph Neural Controlled Differential Equations for Traffic Forecasting
About
Traffic forecasting is one of the most popular spatio-temporal tasks in the field of machine learning. A prevalent approach in the field is to combine graph convolutional networks and recurrent neural networks for the spatio-temporal processing. There has been fierce competition and many novel methods have been proposed. In this paper, we present the method of spatio-temporal graph neural controlled differential equation (STG-NCDE). Neural controlled differential equations (NCDEs) are a breakthrough concept for processing sequential data. We extend the concept and design two NCDEs: one for the temporal processing and the other for the spatial processing. After that, we combine them into a single framework. We conduct experiments with 6 benchmark datasets and 20 baselines. STG-NCDE shows the best accuracy in all cases, outperforming all those 20 baselines by non-trivial margins.
Related benchmarks
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Traffic Forecasting | PeMSD7 (test) | MAE2.32 | 83 | |
| Traffic Flow Forecasting | PEMS08 (test) | MAE17.55 | 66 | |
| Traffic Flow Forecasting | PeMSD7 (L) | RMSE5.76 | 60 | |
| Traffic Flow Forecasting | PeMSD7 M | RMSE5.39 | 60 | |
| Traffic Forecasting | PeMSD3 (test) | MAE15.57 | 53 | |
| Traffic Forecasting | PeMSD8 (test) | MAE15.45 | 53 | |
| Traffic Forecasting | PeMSD4 (test) | MAE19.21 | 53 | |
| Multivariate Forecasting | PEMS03 (test) | -- | 43 | |
| Traffic Flow Prediction | PEMS07 (test) | MAE20.62 | 34 | |
| Traffic Flow Prediction | PEMS08 (test) | MAE15.455 | 34 |