arxivcs.LGphysics.comp-ph2026-07-24
Latent PDE mapping for efficient physics-informed learning across geometries with limited data
Ingvild Askim Adde, Mary M. Maleckar, Gabriel Balaban
In this study, we introduce latent PDE mapping, a broadly applicable physics-informed learning technique designed to enable efficient geometric generalization with sparse training data. Latent PDE mapping pulls back geometry-specific PDE residuals and boundary conditions to a pre…