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most citedReliable extrapolation of deep neural operators informed by physics or sparse observations

125 citations · 142 across the 7 of their papers we have counts for

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math.NA2024★ 3 cited

Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators

Anran Jiao, Qile Yan, Jhn Harlim +1

In this paper, we evaluate the effectiveness of deep operator networks (DeepONets) in solving both forward and inverse problems of partial differential equations (PDEs) on unknown…