DeepONet based online climate bias correction

DeepONet

Alternative text

Consider an operator \(\mathcal{G}\), that maps from the input function \(v\) to the output function \(u\), i.e., \(\mathcal{G}: v \rightarrow u\). DeepONet tries to learn the operator \(\mathcal{G}\) by approximating the basis function for expressing the output functional space. The physics of the problem is enforced using the labelled input-output dataset pairs for the conventional architecture of the proposed operators.