{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T21:03:54Z","timestamp":1765487034451,"version":"3.40.5"},"reference-count":58,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"crossref","award":["DP210103092"],"award-info":[{"award-number":["DP210103092"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003066","name":"Erwin Schr\u00f6dinger International Institute for Mathematics and Physics","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100003066","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC 2181\/1 - 390900948"],"award-info":[{"award-number":["EXC 2181\/1 - 390900948"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/T031255\/1"],"award-info":[{"award-number":["EP\/T031255\/1"]}],"id":[{"id":"10.13039\/501100000266","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\/23m1546981","type":"journal-article","created":{"date-parts":[[2024,1,24]],"date-time":"2024-01-24T09:03:08Z","timestamp":1706086988000},"page":"C1-C29","source":"Crossref","is-referenced-by-count":4,"title":["Deep Importance Sampling Using Tensor Trains with Application to a Priori and a Posteriori Rare Events"],"prefix":"10.1137","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4840-8545","authenticated-orcid":true,"given":"Tiangang","family":"Cui","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1647-4214","authenticated-orcid":true,"given":"Sergey","family":"Dolgov","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK."}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8493-4393","authenticated-orcid":true,"given":"Robert","family":"Scheichl","sequence":"additional","affiliation":[{"name":"Institute for Mathematics and Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany."}]}],"member":"351","published-online":{"date-parts":[[2024,1,24]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/050645142"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/15M1036919"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s11009-008-9073-7"},{"key":"ref5","first-page":"8330","volume":"33","author":"Brennan M.","year":"2020","journal-title":"Adv. Neural Inf. Process Syst."},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/070694855"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-008-9059-x"},{"key":"ref8","first-page":"470","volume":"316","author":"Chen P.","year":"2016","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2000.6593"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/20M1380818"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-010-9072-2"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/130916138"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-021-09537-5"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2023.112103"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/30\/11\/114015"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1002\/nme.4748"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2016.03.055"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.3150\/21-BEJ1437"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2006.00553.x"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.probengmech.2020.103116"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-019-09910-z"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/140953289"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1214\/009053606000001154"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1009236"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-022-10087-1"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aaa998"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/140984294"},{"key":"ref29","first-page":"254","author":"Evans M.","year":"1995","journal-title":"Statist. Sci."},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1002\/nme.2746"},{"key":"ref31","first-page":"163","author":"Gelman A.","year":"1998","journal-title":"Statist. Sci."},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2018.12.015"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-021-09544-6"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-28027-6"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1002\/9781118150740"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/090775622"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1038\/s42256-021-00302-5"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2008.11.024"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2012.07.022"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2009.07.024"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1137\/090752286"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.strusafe.2016.06.002"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/17M1134640"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2015.12.002"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1137\/17M1122992"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1137\/20M1314653"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729394"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1137\/16M1061692"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/28\/4\/045003"},{"key":"ref53","first-page":"2639","volume":"19","author":"Spantini A.","year":"2018","journal-title":"J. Mach. Learn. Res."},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.08.036"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1137\/20M1344585"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1137\/19M1289601"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1137\/20M1359808"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109281"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827501387826"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.12.025"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.OA-2020-0186"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3737"},{"key":"ref64","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":[[2024,1,24]],"date-time":"2024-01-24T09:03:13Z","timestamp":1706086993000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1546981"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,24]]},"references-count":58,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2,29]]}},"alternative-id":["10.1137\/23M1546981"],"URL":"https:\/\/doi.org\/10.1137\/23m1546981","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"type":"print","value":"1064-8275"},{"type":"electronic","value":"1095-7197"}],"subject":[],"published":{"date-parts":[[2024,1,24]]}}}