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  Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification

König, S., Ekström, A., Hebeler, K., Lee, D., & Schwenk, A. (2020). Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification. Physics Letters B, 810: 135814. doi:10.1016/j.physletb.2020.135814.

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https://doi.org/10.1016/j.physletb.2020.135814 (Verlagsversion)
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 Urheber:
König, S., Autor
Ekström, A., Autor
Hebeler, K., Autor
Lee, D., Autor
Schwenk, A.1, Autor           
Affiliations:
1Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society, ou_904548              

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Schlagwörter: Nuclear Theory, nucl-th
 MPINP: Starke Wechselwirkung und exotische Kerne – Abteilung Blaum
 Zusammenfassung: First principles calculations of atomic nuclei based on microscopic nuclear
forces derived from chiral effective field theory (EFT) have blossomed in the
past years. A key element of such ab initio studies is the understanding and
quantification of systematic and statistical errors arising from the omission
of higher-order terms in the chiral expansion as well as the model calibration.
While there has been significant progress in analyzing theoretical
uncertainties for nucleon-nucleon scattering observables, the generalization to
multi-nucleon systems has not been feasible yet due to the high computational
cost of evaluating observables for a large set of low-energy couplings. In this
Letter we show that a new method called eigenvector continuation (EC) can be
used for constructing an efficient and accurate emulator for nuclear many-body
observables, thereby enabling uncertainty quantification in multi-nucleon
systems. We demonstrate the power of EC emulation with a proof-of-principle
calculation that lays out all correlations between bulk ground-state
observables in the few-nucleon sector. On the basis of ab initio calculations
for the ground-state energy and radius in 4He, we demonstrate that EC is more
accurate and efficient compared to established methods like Gaussian processes.

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 Datum: 2020-11-10
 Publikationsstatus: Online veröffentlicht
 Seiten: 8 pages, 6 figures, Python code and input files provided as ancillary material, published version
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
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 Identifikatoren: arXiv: 1909.08446
DOI: 10.1016/j.physletb.2020.135814
 Art des Abschluß: -

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Titel: Physics Letters B
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: North-Holland
Seiten: - Band / Heft: 810 Artikelnummer: 135814 Start- / Endseite: - Identifikator: ISSN: 0370-2693
CoNE: https://pure.mpg.de/cone/journals/resource/954925524777