{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T11:28:20Z","timestamp":1776338900950,"version":"3.51.2"},"reference-count":35,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Journal on Mathematics of Data Science"],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/23m1627985","type":"journal-article","created":{"date-parts":[[2025,4,28]],"date-time":"2025-04-28T08:47:44Z","timestamp":1745830064000},"page":"542-571","source":"Crossref","is-referenced-by-count":1,"title":["Spectral Properties of Elementwise-Transformed Spiked Matrices"],"prefix":"10.1137","volume":"7","author":[{"given":"Michael J.","family":"Feldman","sequence":"first","affiliation":[{"name":"Department of Statistics, Stanford University, Stanford, CA 94305 USA."}]}],"member":"351","published-online":{"date-parts":[[2025,4,28]]},"reference":[{"key":"ref1","first-page":"1532","volume":"35","author":"Bai Z.","year":"2007","journal-title":"Ann. Probab."},{"key":"ref2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-0661-8","volume-title":"Spectral Analysis of Large Dimensional Random Matrices","author":"Bai Z.","year":"2010","edition":"2"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"1643","DOI":"10.1214\/009117905000000233","volume":"33","author":"Baik J.","year":"2005","journal-title":"Ann. Probab."},{"key":"ref4","unstructured":"D. Barash and M. Gavish, Optimal shrinkage of singular values under random data contamination, in NIPS\u201917: Proceedings of the 31st International Conference on Neural Information Processing Systems, 2017, pp. 6160\u20136170, https:\/\/papers.nips.cc\/paper_files\/paper\/2017\/hash\/f231f2107df69eab0a3862d50018a9b2-Abstract.html."},{"key":"ref5","doi-asserted-by":"crossref","first-page":"5753","DOI":"10.1214\/23-AAP1958","volume":"33","author":"Ben Arous G.","year":"2023","journal-title":"Ann. Appl. Probab."},{"key":"ref6","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1016\/j.aim.2011.02.007","volume":"227","author":"Benaych-Georges F.","year":"2011","journal-title":"Adv. Math."},{"key":"ref7","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.jmva.2012.04.019","volume":"111","author":"Benaych-Georges F.","year":"2012","journal-title":"J. Multivariate Anal."},{"key":"ref8","first-page":"1","volume":"19","author":"Bloemendal A.","year":"2014","journal-title":"Electron. J. Probab."},{"key":"ref9","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/0021-9045(84)90023-6","volume":"40","author":"Bonan S.","year":"1984","journal-title":"I, J. Approx. Theory"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"1350010","DOI":"10.1142\/S201032631350010X","volume":"2","author":"Cheng X.","year":"2013","journal-title":"Random Matrices Theory Appl."},{"key":"ref11","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1111\/rssb.12301","volume":"81","author":"Dobriban E.","year":"2019","journal-title":"J. R. Stat. Soc. Ser. B Stat. Methodol."},{"key":"ref13","doi-asserted-by":"crossref","first-page":"1742","DOI":"10.1214\/17-AOS1601","volume":"46","author":"Donoho D. L.","year":"2018","journal-title":"Ann. Statist."},{"key":"ref14","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1214\/22-AOS2232","volume":"51","author":"Donoho D. L.","year":"2023","journal-title":"Ann. Statist."},{"key":"ref15","first-page":"1","volume":"38","author":"Karoui N. El","year":"2010","journal-title":"Ann. Statist."},{"key":"ref16","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1051\/m2an\/2011045","volume":"46","author":"Ernst O. G.","year":"2011","journal-title":"ESAIM Math. Model. Numer. Anal."},{"key":"ref17","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s00440-018-0830-4","volume":"173","author":"Fan Z.","year":"2019","journal-title":"Probab. Theory Related Fields"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"105187","DOI":"10.1016\/j.jmva.2023.105187","volume":"196","author":"Feldman M. J.","year":"2023","journal-title":"J. Multivariate Anal."},{"key":"ref19","doi-asserted-by":"crossref","first-page":"5040","DOI":"10.1109\/TIT.2014.2323359","volume":"60","author":"Gavish M.","year":"2014","journal-title":"IEEE Trans. Inform. Theory"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"2137","DOI":"10.1109\/TIT.2017.2653801","volume":"63","author":"Gavish M.","year":"2017","journal-title":"IEEE Trans. Inform. Theory"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"1231","DOI":"10.1214\/18-AOS1697","volume":"48","author":"Johnstone I. M.","year":"2020","journal-title":"Ann. Statist."},{"key":"ref23","doi-asserted-by":"crossref","first-page":"1277","DOI":"10.1109\/JPROC.2018.2846730","volume":"106","author":"Johnstone I. M.","year":"2018","journal-title":"Proc. IEEE"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/21M1456807"},{"key":"ref25","first-page":"1579","volume":"4","author":"Lee S.","year":"2010","journal-title":"Ann. Appl. Stat."},{"key":"ref26","doi-asserted-by":"crossref","first-page":"109472","DOI":"10.1016\/j.spl.2022.109472","volume":"186","author":"Leeb W.","year":"2022","journal-title":"Statist. Probab. Lett."},{"key":"ref27","unstructured":"Z. Liao, R. Couillet, and M. W. Mahoney, Sparse quantized spectral clustering, in Proceedings of the International Conference on Learning Representations, 2020."},{"key":"ref31","first-page":"571","volume":"31","author":"Morales-Jimenez D.","year":"2021","journal-title":"Statist. Sinica"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0021-9045(86)90016-X","volume":"48","author":"Nevai P.","year":"1986","journal-title":"J. Approx. Theory"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1038\/nature07331","volume":"456","author":"Novembre J.","year":"2008","journal-title":"Nature"},{"key":"ref34","first-page":"1617","volume":"17","author":"Paul D.","year":"2007","journal-title":"Statist. Sinica"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jspi.2013.09.005","volume":"150","author":"Paul D.","year":"2014","journal-title":"J. Statist. Plann. Inference"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/s00440-005-0466-z","volume":"134","author":"P\u00e9ch\u00e9 S.","year":"2006","journal-title":"Probab. Theory Related Fields"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"2416","DOI":"10.1214\/17-AOS1625","volume":"46","author":"Perry A.","year":"2018","journal-title":"Ann. Statist."},{"key":"ref39","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1093\/bib\/bbx119","volume":"20","author":"Song Y.","year":"2019","journal-title":"Brief. Bioinform."},{"key":"ref40","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/BF00353874","volume":"78","author":"Yin Y. Q.","year":"1988","journal-title":"Probab. Theory Related Fields"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1093\/biomet\/asv008","volume":"102","author":"Yu Y.","year":"2015","journal-title":"Biometrika"}],"container-title":["SIAM Journal on Mathematics of Data Science"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,4,28]],"date-time":"2025-04-28T08:47:55Z","timestamp":1745830075000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1627985"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,28]]},"references-count":35,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/23M1627985"],"URL":"https:\/\/doi.org\/10.1137\/23m1627985","relation":{},"ISSN":["2577-0187"],"issn-type":[{"value":"2577-0187","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4,28]]}}}