Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory
We review an established Bayesian sampling method called sampling/importance resampling and highlight situations in nuclear theory when it can be particularly useful. To this end we both analyse a toy problem and demonstrate realistic applications of importance resampling to infer the posterior dist...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2022-11-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.1058809/full |
| _version_ | 1811331981327204352 |
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| author | Weiguang Jiang Christian Forssén |
| author_facet | Weiguang Jiang Christian Forssén |
| author_sort | Weiguang Jiang |
| collection | DOAJ |
| description | We review an established Bayesian sampling method called sampling/importance resampling and highlight situations in nuclear theory when it can be particularly useful. To this end we both analyse a toy problem and demonstrate realistic applications of importance resampling to infer the posterior distribution for parameters of ΔNNLO interaction model based on chiral effective field theory and to estimate the posterior probability distribution of target observables. The limitation of the method is also showcased in extreme situations where importance resampling breaks. |
| first_indexed | 2024-04-13T16:30:02Z |
| format | Article |
| id | doaj.art-d697a32e63fd49f6a524d874d482aa62 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-13T16:30:02Z |
| publishDate | 2022-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-d697a32e63fd49f6a524d874d482aa622022-12-22T02:39:37ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-11-011010.3389/fphy.2022.10588091058809Bayesian probability updates using sampling/importance resampling: Applications in nuclear theoryWeiguang JiangChristian ForssénWe review an established Bayesian sampling method called sampling/importance resampling and highlight situations in nuclear theory when it can be particularly useful. To this end we both analyse a toy problem and demonstrate realistic applications of importance resampling to infer the posterior distribution for parameters of ΔNNLO interaction model based on chiral effective field theory and to estimate the posterior probability distribution of target observables. The limitation of the method is also showcased in extreme situations where importance resampling breaks.https://www.frontiersin.org/articles/10.3389/fphy.2022.1058809/fullbayesian inferenceprobability updatesimportance resamplinguncertainty quantificationab initio nuclear theorylow-energy constants |
| spellingShingle | Weiguang Jiang Christian Forssén Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory Frontiers in Physics bayesian inference probability updates importance resampling uncertainty quantification ab initio nuclear theory low-energy constants |
| title | Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory |
| title_full | Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory |
| title_fullStr | Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory |
| title_full_unstemmed | Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory |
| title_short | Bayesian probability updates using sampling/importance resampling: Applications in nuclear theory |
| title_sort | bayesian probability updates using sampling importance resampling applications in nuclear theory |
| topic | bayesian inference probability updates importance resampling uncertainty quantification ab initio nuclear theory low-energy constants |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.1058809/full |
| work_keys_str_mv | AT weiguangjiang bayesianprobabilityupdatesusingsamplingimportanceresamplingapplicationsinnucleartheory AT christianforssen bayesianprobabilityupdatesusingsamplingimportanceresamplingapplicationsinnucleartheory |