140 citations · 245 across the 7 of their papers we have counts for
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physics.flu-dyn2021★ 29 cited
DeepONet prediction of linear instability waves in high-speed boundary layers
P. Clark Di Leoni, L. Lu, C. Meneveau +2
Deep operator networks (DeepONets) are trained to predict the linear amplification of instability waves in high-speed boundary layers and to perform data assimilation. In contrast…
math.AP2021★ 13 cited
Convergence rate of DeepONets for learning operators arising from advection-diffusion equations
Beichuan Deng, Yeonjong Shin, Lu Lu +2
We present convergence analysis of operator learning in [Chen and Chen 1995] and [Lu et al. 2020], where continuous operators are approximated by a sum of products of branch and tr…