Overview This dataset contains input-output data of a coupled mass-spring-damper system with a nonlinear force profile. The data was generated with statesim [1], a python package for simulating linear and nonlinear ODEs, for the system coupled-msd. The configuration .json files for the corresponding datasets (in-distribution and out-of-distribution) can be found in the respective folders. After creating the dataset, the files are stored in the raw folder. Then, they are split into subsets for training, testing, and validation and can be found in the processed folder; details about the splitting are found in the config.json file.

The dataset can be used to test system identification algorithms and methods that aim to identify nonlinear dynamics from input-output measurements. The training dataset is used to optimize the model parameters, the validation set for hyperparameter optimization, and the test set only for the final evaluation.

In [2], the authors use the same underlying dynamics to create their dataset.

Input generation Input trajectories are piecewise constant trajectories.

Noise Gaussian white noise of approximately 30dB is added at the output.

Statistics The input and output size is one.

In-distribution data: 1,500,000 data points

        Training: 120 trajectories of length 7500
        Validation: 20 trajectories of length 7500
        Test: 60 trajectories of length 7500


Out-of-distribution data: 10 times 3000 data points
    10 different datasets were only used for testing. Each dataset contains 50 trajectories of length 6000.



References

    Frank, D. statesim [Computer software]. https://github.com/Dany-L/statesim
    Revay, M., Wang, R., & Manchester, I. R. (2020). A convex parameterization of robust recurrent neural networks. IEEE Control Systems Letters, 5(4), 1363-1368.

statesim, 0d819c7