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Eigenvector continu...
Eigenvector continuation as an efficient and accurate emulator for uncertainty quantification
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- Koenig, S. (författare)
- Technische Universität Darmstadt,North Carolina State University,Helmholtz Zentrum,Helmholtz Center
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- Ekström, Andreas, 1980 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Hebeler, K. (författare)
- Helmholtz Zentrum,Helmholtz Center,Technische Universität Darmstadt
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- Lee, D. (författare)
- Michigan State University
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- Schwenk, A. (författare)
- Helmholtz Zentrum,Helmholtz Center,Technische Universität Darmstadt,Max Planck Gesellschaft zur Förderung der Wissenschaften e.V. (MPG),Max Planck Society for the Advancement of Science (MPG)
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(creator_code:org_t)
- Elsevier BV, 2020
- 2020
- Engelska.
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Ingår i: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. - : Elsevier BV. - 0370-2693. ; 810
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https://research.cha... (primary) (free)
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https://doi.org/10.1...
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https://doi.org/10.1...
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https://research.cha...
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Abstract
Ämnesord
Stäng
- 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 4 He, we demonstrate that EC is more accurate and efficient compared to established methods like Gaussian processes.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Kemi -- Teoretisk kemi (hsv//swe)
- NATURAL SCIENCES -- Chemical Sciences -- Theoretical Chemistry (hsv//eng)
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