{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T17:15:33Z","timestamp":1775236533596,"version":"3.50.1"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2021R1C1C1007875"],"award-info":[{"award-number":["2021R1C1C1007875"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2024,2,29]]},"DOI":"10.1137\/23m1560574","type":"journal-article","created":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T09:01:49Z","timestamp":1706605309000},"page":"C57-C76","source":"Crossref","is-referenced-by-count":10,"title":["Bayesian Deep Learning Framework for Uncertainty Quantification in Stochastic Partial Differential Equations"],"prefix":"10.1137","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6430-4087","authenticated-orcid":true,"given":"Jeahan","family":"Jung","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pohang University of Science and Technology (POSTECH), Pohang, 37673, Republic of Korea."}]},{"given":"Hyomin","family":"Shin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pohang University of Science and Technology (POSTECH), Pohang, 37673, Republic of Korea."}]},{"given":"Minseok","family":"Choi","sequence":"additional","affiliation":[{"name":"Corresponding author. Department of Mathematics, Pohang University of Science and Technology (POSTECH), Pohang, 37673, Republic of Korea."}]}],"member":"351","published-online":{"date-parts":[[2024,1,30]]},"reference":[{"key":"ref1","first-page":"9","volume":"3","author":"Aln\u00e6s M.","year":"2015","journal-title":"Arch. Numer. Softw."},{"key":"ref2","first-page":"153","volume":"18","author":"Baydin A. G.","year":"2017","journal-title":"J. March. Learn. Res."},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1408184111"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2022.3229696"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.03.050"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/0370-2693(87)91197-X"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2010.00765.x"},{"key":"ref12","volume-title":"Advances in Neural Information Processing Systems","volume":"24","author":"Graves A.","year":"2011"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111202"},{"key":"ref14","first-page":"1593","volume":"15","author":"Hoffman and M. D.","year":"2014","journal-title":"J. Mach. Learn. Res."},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.109120"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.4236\/jamp.2018.61002"},{"key":"ref18","volume-title":"Probability Theory","author":"Lo\u00e8ve M.","year":"2017"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23099-8"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1029\/2018WR024638"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1029\/2018WR023528"},{"key":"ref24","series-title":"Lect. Notes Stat. 118","volume-title":"Bayesian Learning for Neural Networks","author":"Neal R. M.","year":"2012"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/b98874"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2006.01.005"},{"key":"ref27","first-page":"2825","volume":"12","author":"Pedregosa F.","year":"2011","journal-title":"J. Mach. Learn. Res."},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.10.045"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2023.112183"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.taml.2020.01.031"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.08.036"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.113938"},{"key":"ref35","first-page":"242","volume":"5","author":"Xiu D.","year":"2009","journal-title":"Commun. Comput. Phys."},{"key":"ref36","volume-title":"Numerical Methods for Stochastic Computations: A Spectral Method Approach","author":"Xiu D.","year":"2010"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827501387826"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109913"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/18M1225409"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.05.027"},{"key":"ref41","first-page":"2481","volume":"21","author":"Yu G.","year":"2011","journal-title":"IEEE Trans. Image Process."},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/19M1260141"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.07.048"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2022.115664"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.04.018"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.05.024"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T09:01:59Z","timestamp":1706605319000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1560574"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,30]]},"references-count":37,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2,29]]}},"alternative-id":["10.1137\/23M1560574"],"URL":"https:\/\/doi.org\/10.1137\/23m1560574","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,30]]}}}