PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning. (arXiv:2111.00998v5 [cs.LG] UPDATED)

Web: http://arxiv.org/abs/2111.00998

PDE discovery shows promise for uncovering predictive models of complex
physical systems but has difficulty when measurements are sparse and noisy. We
introduce a new approach for PDE discovery that uses two Rational Neural
Networks and a principled sparse regression algorithm to identify the hidden
dynamics that govern a system's response. The first network learns the system
response function, while the second learns a hidden PDE describing the system's
evolution. We then use a parameter-free sparse regression algorithm to extract …

arxiv deep deep learning discovery equation human learning lg