Fig. 4
From: Solving multiphysics-based inverse problems with learned surrogates and constraints
Latent space projection experiments. a Relative \(\ell _2\) reconstruction error and FNO prediction error for in-distribution sample. b The same but for out-of-distribution sample. The blue curve shows the relative \(\ell _2\) misfit between the permeability models before and after latent space shrinkage. The orange curve shows the FNO prediction error on the permeability model after shrinking the \(\ell _2\)-norm ball. The red dashed line denotes the amplitude of standard Gaussian noise