Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Lu, L; Jin, PZ; Pang, GF; Zhang, ZQ; Karniadakis, GE

Karniadakis, GE (corresponding author), Brown Univ, Div Appl Math, Providence, RI 02912 USA.

NATURE MACHINE INTELLIGENCE, 2021; 3 (3): 218

Abstract

It is widely known that neural networks (NNs) are universal approximators of continuous functions. However, a less known but powerful result is that a......

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