@misc{indiciae561066c5382b,
  title = {A variational framework for residual-based adaptivity in neural PDE solvers and operator learning},
  author = {Toscano, Juan Diego [Brown Univ., Providence, RI (United States)] and Chen, Daniel T. [Brown Univ., Providence, RI (United States)] and Ooomen, Vivek [Brown Univ., Providence, RI (United States)] and Darbon, Jérôme [Brown Univ., Providence, RI (United States)] and Karniadakis, George Em [Brown Univ., Providence, RI (United States); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)]},
  year = {2026},
  doi = {10.1038/s44387-026-00084-4},
  url = {https://www.osti.gov/biblio/3366359},
  note = {Source identifier: 3366359}
}