{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,5]],"date-time":"2026-04-05T04:23:51Z","timestamp":1775363031313,"version":"3.50.1"},"reference-count":38,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/501100012652","name":"ETH Z\u00fcrich Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012652","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1846854"],"award-info":[{"award-number":["DMS-1846854"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1750488"],"award-info":[{"award-number":["DMS-1750488"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100001395","name":"Wisconsin Alumni Research Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100001395","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008950","name":"Walter Haefner Stiftung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100008950","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2023,12,31]]},"DOI":"10.1137\/22m1524515","type":"journal-article","created":{"date-parts":[[2023,11,17]],"date-time":"2023-11-17T17:46:12Z","timestamp":1700243172000},"page":"2744-2774","source":"Crossref","is-referenced-by-count":3,"title":["Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation"],"prefix":"10.1137","volume":"61","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9210-8948","authenticated-orcid":true,"given":"Qin","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53705 USA."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0593-8175","authenticated-orcid":true,"given":"Li","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Minnesota Twin Cities, Minneapolis, MN 55455 USA."}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7238-7978","authenticated-orcid":true,"given":"Yunan","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Cornell University, Ithaca, NY 14853 USA."}]}],"member":"351","published-online":{"date-parts":[[2023,11,17]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/11084772X"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/0726004"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1063\/1.1899210"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.23.001639"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/25\/5\/053001"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(88)90096-1"},{"key":"ref7","first-page":"140","volume-title":"Mathematics for Industry: Challenges and Frontiers","author":"Betts J. T.","year":"2005"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1063\/1.1692849"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.4576"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1080\/10618560290034663"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110404"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002804"},{"key":"ref14","volume-title":"Radiative Transfer","author":"Chandrasekhar S.","year":"2013"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aac220"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aa990c"},{"key":"ref17","volume-title":"Mathematical Analysis and Numerical Methods for Science and Technology","volume":"6","author":"Dautray R.","year":"1993"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/17M1140741"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s002110000178"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/10556780701405783"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1063\/1.4820951"},{"key":"ref22","first-page":"245","volume-title":"Photons Plus Ultrasound: Imaging and Sensing 2015","volume":"9323","author":"Hochuli R.","year":"2015"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-020-02648-3"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4073(01)00151-0"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4073(01)00150-9"},{"key":"ref26","first-page":"51","volume-title":"Multiscale Simulation Methods in Molecular Sciences Lecture Notes","volume":"42","author":"Kratzer P.","year":"2009"},{"key":"ref27","volume-title":"Computational Methods of Neutron Transport","author":"Lewis E. E.","year":"1984"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.OA-2016-0105"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1364\/AO.55.002537"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.13182\/NSE112-185"},{"key":"ref31","first-page":"1","volume":"21","author":"Mohamed S.","year":"2020","journal-title":"J. Mach. Learn. Res."},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.49.2042"},{"key":"ref35","volume-title":"Interacting Multiagent Systems: Kinetic Equations and Monte Carlo Methods","author":"Pareschi L.","year":"2013"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1561\/2200000073"},{"key":"ref37","first-page":"84","volume-title":"Optical Tomography and Spectroscopy of Tissue XII","volume":"10059","author":"Powell S.","year":"2017"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0074532"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/040619193"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6587\/59\/2\/024002"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2023.112247"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T21:47:57Z","timestamp":1703195277000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1524515"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,17]]},"references-count":38,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/22M1524515"],"URL":"https:\/\/doi.org\/10.1137\/22m1524515","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,17]]}}}