7.8. Extra: Reduced Basis Method Emulators#

Based on a talk by Dick Furnstahl. See the end for references.

Motivation for RBM emulators#

../../_images/timeline_landscape_nuclei_2023.png

Screenshot from the end of a YouTube video called Timeline of the Discovery of Nuclides.#

../../_images/Hergert_nuclide_chart_2024.png

Table of Nuclides showing progress in ab initio calculations (2024 version).#

../../_images/many_body_HO_basis.png
../../_images/challenges_many-body_theory.png
../../_images/emulator_def.png
../../_images/BAND_overview.png
../../_images/universe_of_ROMs.png
../../_images/snapshot_RBM_emulators_1.png
../../_images/snapshot_RBM_emulators_2.png
../../_images/fast_and_accurate_RBM_emulators.png

Simple model for eigenvalue RBM#

../../_images/AHO_example_1.png
../../_images/AHO_example_2.png
../../_images/AHO_example_3.png
../../_images/AHO_example_4.png
../../_images/AHO_example_5.png
../../_images/AHO_example_6.png
../../_images/RBM_workflow_1.png
../../_images/RBM_workflow_2.png
../../_images/schematic_RBM.png
../../_images/observables_RBM.png

Extensions#

../../_images/RBM_scattering_1.png
../../_images/RBM_scattering_2.png
../../_images/RBM_scattering_3.png
../../_images/RBM_nonaffine_1.png
../../_images/RBM_nonaffine_2.png
../../_images/RBM_nonaffine_3.png
../../_images/extrapolation_hubbard.png
../../_images/improved_MBPT.png

Improved many-body perturbation theory (MBPT).#

../../_images/emulating_pairing.png

Emulating pairing.#

../../_images/emulating_phase_structure.png

Greedy algorithm for emulation.#

../../_images/cartoon_greedy_algorithm.png

Cartoon summary of greedy algorithm.#

../../_images/summary_RBM.png

References#

References with nuclear applications#

All of these have pointers to the broad RBM literature.

Jupyter and Quarto books for nuclear applications#

Websites#

  • BAND (Bayesian Analysis of Nuclear Dynamics)

  • BUQEYE (Bayesian Uncertainity Quantification: Errors for Your EFT)