TY  - RPRT
TI  - A variational framework for residual-based adaptivity in neural PDE solvers and operator learning
AU  - Toscano, Juan Diego [Brown Univ., Providence, RI (United States)]
AU  - Chen, Daniel T. [Brown Univ., Providence, RI (United States)]
AU  - Ooomen, Vivek [Brown Univ., Providence, RI (United States)]
AU  - Darbon, Jérôme [Brown Univ., Providence, RI (United States)]
AU  - Karniadakis, George Em [Brown Univ., Providence, RI (United States); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)]
PY  - 2026
DO  - 10.1038/s44387-026-00084-4
UR  - https://www.osti.gov/biblio/3366359
ID  - 3366359
ER  -