{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T09:42:47Z","timestamp":1775641367010,"version":"3.50.1"},"reference-count":50,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100002341","name":"Academy of Finland","doi-asserted-by":"publisher","award":["326961"],"award-info":[{"award-number":["326961"]}],"id":[{"id":"10.13039\/501100002341","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2024,8,31]]},"DOI":"10.1137\/22m1538600","type":"journal-article","created":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T08:41:26Z","timestamp":1724316086000},"page":"2025-2047","source":"Crossref","is-referenced-by-count":2,"title":["Least Squares Approximations in Linear Statistical Inverse Learning Problems"],"prefix":"10.1137","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5788-0008","authenticated-orcid":true,"given":"Tapio","family":"Helin","sequence":"first","affiliation":[{"name":"School of Engineering Science, LUT University, P.O. Box 20, FI-53851 Lappeenranta, Finland."}]}],"member":"351","published-online":{"date-parts":[[2024,8,22]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/abb61b"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2006.07.001"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0653-8"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/20\/6\/005"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-017-9359-7"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/19\/1\/308"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.3934\/ipi.2023013"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-006-0196-8"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/24\/3\/034004"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s004400100169"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s004400050212"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-013-9142-3"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s102080010030"},{"key":"ref14","first-page":"67","volume":"25","author":"Dahmen W.","year":"2006","journal-title":"Electron. Trans. Numer. Anal."},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1142\/S0219530506000711"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1995.1008"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-1740-8"},{"key":"ref18","first-page":"201","volume":"14","author":"Groetsch and A. Neubauer C.","year":"1988","journal-title":"Houston J. Math."},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aa72b2"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.3846\/13926292.2002.9637196"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1515\/jiip.2007.029"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/0885-064X(91)90042-V"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/16\/5\/322"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/17\/4\/313"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-03-01533-3"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2012-02596-8"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1515\/cmam-2015-0036"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2008.05-07-517"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2018.03.001"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/14\/1\/014"},{"key":"ref32","doi-asserted-by":"crossref","unstructured":"P. Maa\u00df, S. V. Pereverzev, R. Ramlau, and S. G. Solodky, An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection, 871 (2001), pp. 485\u2013502.","DOI":"10.1007\/PL00005421"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139994264476"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1137\/S003614299936175X"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1080\/00036810701858185"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOS728"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389972"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347125"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1137\/0727096"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/1130013"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/BF01386397"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1214\/20-EJS1735"},{"key":"ref44","volume-title":"Introduction to the Finite Element Method","author":"Reddy J. N.","year":"2019"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1515\/jip-2012-0089"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/BF01686719"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2005.03.001"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-006-0659-y"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1017\/9781108231596"},{"key":"ref52","first-page":"883","volume":"6","author":"Vito E. D.","year":"2005","journal-title":"J. Mach. Learn. Res."},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/0714044"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-006-0663-2"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T08:41:47Z","timestamp":1724316107000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1538600"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8,22]]},"references-count":50,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,8,31]]}},"alternative-id":["10.1137\/22M1538600"],"URL":"https:\/\/doi.org\/10.1137\/22m1538600","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,8,22]]}}}