While deep learning has shown tremendous success in many scientific domains, it remains a grand challenge to incorporate physical principles into such models. In physics, Noether’s Law gives a correspondence between conserved quantities and groups of symmetries. By building a neural network that inherently respects a given symmetry, we thus make conservation of the associated quantity more likely and consequently the model’s prediction more physically accurate. In this talk, I will demonstrate how to incorporate symmetries into deep neural networks and significantly improve physical consistency, sample efficiency, and generalization in learning spatiotemporal dynamics.
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