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Deutsch Intern
    Data Science Chair

    DynaBench: A Benchmark Dataset for Learning Dynamical Systems from Low-Resolution Data

    We published a benchmark dataset to evaluate different models on the task of predicting the evolution of physical systems from data. Our key assumption is that the observations are only available in low resolution and at locations that are scattered (non-grid). This page provides a short description, as well as the links to the data repository, documentation and code.

    Abstract

    Previous work on learning physical systems from data has focused on high-resolution grid-structured measurements. However, real-world knowledge of such systems (e.g. weather data) relies on sparsely scattered measuring stations. In this paper, we introduce a novel simulated benchmark dataset, DynaBench, for learning dynamical systems directly from sparsely scattered data without prior knowledge of the equations. The dataset focuses on predicting the evolution of a dynamical system from low-resolution, unstructured measurements. We simulate six different partial differential equations covering a variety of physical systems commonly used in the literature and evaluate several machine learning models, including traditional graph neural networks and point cloud processing models, with the task of predicting the evolution of the system. The proposed benchmark dataset is expected to advance the state of art as an out-of-the-box easy-to-use tool for evaluating models in a setting where only unstructured low-resolution observations are available. The benchmark is available at https://professor-x.de/dynabench.

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