Extrapolation to infinite model space of no-core shell model calculations using machine learning
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Abstract (arXiv)
An ensemble of neural networks is employed to extrapolate no-core shell model (NCSM) results to infinite model space for light nuclei. We present a review of our neural network extrapolations of the NCSM results obtained with the Daejeon16 NN interaction in different model spaces and with different values of the NCSM basis parameter hbarOmega for energies of nuclear states and root-mean-square (rms) radii of proton, neutron and matter distributions in light nuclei. The method yields convergent predictions with quantifiable uncertainties. Ground-state energies for 6Li, 6He, and the unbound 6Be, as well as the excited (3+,0) and (0+,1) states of 6Li, are obtained within a few hundred keV of experiment. The extrapolated radii of bound states converge well. In contrast, radii of unbound states in 6Be and 6Li do not stabilize.
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References · 5
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2015Cyclical Learning Rates for Training Neural Networkscited by 627
- 2018Deep learning: Extrapolation tool for ab initio nuclear theorycited by 2
- 2021Accelerating an Iterative Eigensolver for Nuclear Structure Configuration Interaction Calculations on GPUs using OpenACCcited by 1
- 2021Accelerating quantum many-body configuration interaction with directivescited by 1
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