{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:25:00Z","timestamp":1747189500053,"version":"3.40.5"},"reference-count":72,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1846690"],"award-info":[{"award-number":["1846690"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM\/ASA J. Uncertainty Quantification"],"published-print":{"date-parts":[[2022,12,31]]},"DOI":"10.1137\/21m1391602","type":"journal-article","created":{"date-parts":[[2022,10,26]],"date-time":"2022-10-26T17:32:21Z","timestamp":1666805541000},"page":"1410-1434","source":"Crossref","is-referenced-by-count":0,"title":["A General Framework of Rotational Sparse Approximation in Uncertainty Quantification"],"prefix":"10.1137","volume":"10","author":[{"given":"Mengqi","family":"Hu","sequence":"first","affiliation":[{"name":"Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, PA 18015 USA ()."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1973-5704","authenticated-orcid":true,"given":"Yifei","family":"Lou","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX 75080 USA ()."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0882-2650","authenticated-orcid":true,"given":"Xiu","family":"Yang","sequence":"additional","affiliation":[{"name":"Corresponding author. Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, PA 18015 USA ()."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2022,10,27]]},"reference":[{"key":"ref1","first-page":"1","volume":"18","author":"Adcock B.","year":"2017","journal-title":"Found. Comput. Math."},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-69802-1_3"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2017.01.039"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/100786356"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2248414"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2010.12.021"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/060657704"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.2307\/1969178"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2008.03.014"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20124"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914731"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9045-x"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2007.898300"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/130916138"},{"volume-title":"Tech. report","year":"2008","author":"Dai W.","key":"ref16"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0437847100"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.860430"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.01.002"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2011045"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4948-7"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3094-6"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.820031"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.4208\/eajam.060518.130618"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.09.019"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.03.035"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2015.02.025"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/16M1063885"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1023\/A:1015125304044"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/110840364"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2016.10.029"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1137\/140981587"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1991.10475035"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-017-0463-2"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-014-9930-1"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-016-0169-x"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0722-4"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOS683"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2010.01.033"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539792240406"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1972.1054856"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.02.024"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2015.12.049"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/18M123147X"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.jat.2012.01.008"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2015.02.003"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1615\/Int.J.UncertaintyQuantification.2013006821"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2011.645783"},{"key":"ref52","first-page":"240","volume":"4","author":"Smolyak S.","year":"1963","journal-title":"Soviet Math. Dokl."},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1029\/97JD01654"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2290112"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.12.009"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.12.010"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2020.2985298"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1137\/040615201"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827501387826"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2197412"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1137\/13094596X"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1615\/Int.J.UncertaintyQuantification.2012003925"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.10.028"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.04.004"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2015.11.038"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jctc.7b00905"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1137\/17M1148955"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1615\/Int.J.UncertaintyQuantification.2019027864"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.4310\/CIS.2014.v14.n2.a2"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1137\/140952363"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2017.v15.n2.a9"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1236-x"},{"key":"ref74","unstructured":"T. Zhang , Multi-stage convex relaxation for learning with sparse regularization, in Advances in Neural Information Processing Systems (NIPS), 2009, pp. 1929\u20131936."},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2014.2369505"}],"container-title":["SIAM\/ASA Journal on Uncertainty Quantification"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T18:59:54Z","timestamp":1692730794000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1391602"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,27]]},"references-count":72,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,12,31]]}},"alternative-id":["10.1137\/21M1391602"],"URL":"https:\/\/doi.org\/10.1137\/21m1391602","relation":{},"ISSN":["2166-2525"],"issn-type":[{"type":"electronic","value":"2166-2525"}],"subject":[],"published":{"date-parts":[[2022,10,27]]}}}