DeepONet: Can Deep Learning finally tame Nonlinear Operators?

Different approaches to model an arbitrary operator using universal approximation. Source: ArXiV, License: CC BY SA 4.0

Since its publication in Nature Machine Intelligence in 2021, “DeepONet: Learning Nonlinear Operators for Identifying Differential Equations Based on the Universal Approximation Theorem of Operators” has already gathered more than 700 c…