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Diffusion Convolutional Recurrent Neural Network: Data-Driven Traffic Forecasting

Diffusion Convolutional Recurrent Neural Network

This is a TensorFlow implementation of Diffusion Convolutional Recurrent Neural Network in the following paper:
Yaguang Li, Rose Yu, Cyrus Shahabi, Yan Liu, Diffusion Convolutional Recurrent Neural Network: Data-Driven Traffic Forecasting, ICLR 2018.


  • scipy>=0.19.0
  • numpy>=1.12.1
  • pandas>=0.19.2
  • pyaml
  • statsmodels
  • tensorflow>=1.3.0

Dependency can be installed using the following command:

pip install -r requirements.txt

Data Preparation

The traffic data files for Los Angeles (METR-LA) and the Bay Area (PEMS-BAY), i.e., metr-la.h5 and pems-bay.h5, are available at Google Drive or Baidu Yun, and should be put into the data/ folder. The *.h5 files store the data in panads.DataFrame using the HDF5 file format. Here is an example:

sensor_0 sensor_1 sensor_2 sensor_n
2018/01/01 00:00:00 60.0 65.0 70.0 ...
2018/01/01 00:05:00 61.0 64.0 65.0 ...
2018/01/01 00:10:00 63.0 65.0 60.0 ...
... ... ... ... ...

Here is an article about Using HDF5 with Python.

Run the following commands to generate train/test/val dataset at data/{METR-LA,PEMS-BAY}/{train,val,test}.npz.

# Create data directories
mkdir -p data/{METR-LA,PEMS-BAY}

python -m scripts.generate_training_data --output_dir=data/METR-LA --traffic_df_filename=data/metr-la.h5

python -m scripts.generate_training_data --output_dir=data/PEMS-BAY --traffic_df_filename=data/pems-bay.h5

Graph Construction

As the currently implementation is based on pre-calculated road network distances between sensors, it currently only supports sensor ids in Los Angeles (see data/sensor_graph/sensor_info_201206.csv).

python -m scripts.gen_adj_mx  --sensor_ids_filename=data/sensor_graph/graph_sensor_ids.txt --normalized_k=0.1\

Besides, the locations of sensors in Los Angeles, i.e., METR-LA, are available at data/sensor_graph/graph_sensor_locations.csv, and the locations of sensors in PEMS-BAY are available at data/sensor_graph/graph_sensor_locations_bay.csv.

Run the Pre-trained Model on METR-LA

python --config_filename=data/model/pretrained/METR-LA/config.yaml

python --config_filename=data/model/pretrained/PEMS-BAY/config.yaml

The generated prediction of DCRNN is in data/results/dcrnn_predictions.

Model Training

Here are commands for training the model on METR-LA and PEMS-BAY respectively.

python --config_filename=data/model/dcrnn_la.yaml

python --config_filename=data/model/dcrnn_bay.yaml

Training details and tensorboard links

With a single GTX 1080 Ti, each epoch takes around 5min for METR-LA, and 13 min for PEMS-BAY respectively. Here are example tensorboard links for DCRNN on METR-LA, DCRNN on PEMS-BAY, including training details and metrics over time.

Note that, there is a chance of training loss explosion, one temporary workaround is to restart from the last saved model before the explosion, or to decrease the learning rate earlier in the learning rate schedule.

Metric for different horizons and datasets

The following table summarizes the performance of DCRNN on two dataset with regards to different metrics and horizons (numbers are better than those reported in the paper due to bug fix in commit 2e4b8c8 on Oct 1, 2018).

Dataset Metric 5min 15min 30min 60min
METR-LA MAE 2.18 2.67 3.08 3.56
MAPE 5.17% 6.84% 8.38% 10.30%
RMSE 3.77 5.17 6.3 7.52
PEMS-BAY MAE 0.85 1.31 1.66 1.98
MAPE 1.63% 2.74% 3.76% 4.74%
RMSE 1.54 2.76 3.78 4.62

Eval baseline methods

python -m scripts.eval_baseline_methods --traffic_reading_filename=data/metr-la.h5

More details are being added ...

Deploying DCRNN on Large Graphs with graph partitioning

With graph partitioning, DCRNN has been successfully deployed to forecast the traffic of the entire California highway network with 11,160 traffic sensor locations simultaneously. The general idea is to partition the large highway network into a number of small networks, and trained them with a share-weight DCRNN simultaneously. The training process takes around 3 hours in a moderately sized GPU cluster, and the real-time inference can be run on traditional hardware such as CPUs.

See the paper, slides, and video by Tanwi Mallick et al. from Argonne National Laboratory for more information.

Third-party re-implementations

The Pytorch implementaion by chnsh@ is available at DCRNN-Pytorch.


If you find this repository, e.g., the code and the datasets, useful in your research, please cite the following paper:

  title={Diffusion Convolutional Recurrent Neural Network: Data-Driven Traffic Forecasting},
  author={Li, Yaguang and Yu, Rose and Shahabi, Cyrus and Liu, Yan},
  booktitle={International Conference on Learning Representations (ICLR '18)},


Implementation of Diffusion Convolutional Recurrent Neural Network in Tensorflow





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