{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:39:50Z","timestamp":1763642390786,"version":"3.45.0"},"reference-count":39,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Journal on Mathematics of Data Science"],"published-print":{"date-parts":[[2025,12,31]]},"DOI":"10.1137\/24m1665763","type":"journal-article","created":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:27:42Z","timestamp":1763641662000},"page":"1882-1903","source":"Crossref","is-referenced-by-count":0,"title":["HADES: Fast Singularity Detection with Local Measure Comparison"],"prefix":"10.1137","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4563-4846","authenticated-orcid":true,"given":"Uzu","family":"Lim","sequence":"first","affiliation":[{"name":"Queen Mary University of London, Mile End Road, London E1 4NS, UK."}]},{"given":"Harald","family":"Oberhauser","sequence":"additional","affiliation":[{"name":"Mathematical Institute, University of Oxford, Radcliffe Observatory, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG, UK."}]},{"given":"Vidit","family":"Nanda","sequence":"additional","affiliation":[{"name":"Mathematical Institute, University of Oxford, Radcliffe Observatory, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG, UK."}]}],"member":"351","published-online":{"date-parts":[[2025,11,19]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2140\/pjm.2017.290.1","volume":"290","author":"Adamaszek M.","year":"2017","journal-title":"Pacific J. Math."},{"key":"ref2","doi-asserted-by":"crossref","first-page":"1692","DOI":"10.1109\/TIT.2011.2104630","volume":"57","author":"Arias-Castro E.","year":"2011","journal-title":"IEEE Trans. Inform. Theory"},{"key":"ref3","first-page":"253","volume":"18","author":"Arias-Castro E.","year":"2017","journal-title":"J. Mach. Learn. Res."},{"key":"ref4","doi-asserted-by":"crossref","first-page":"e0137986","DOI":"10.1371\/journal.pone.0137986","volume":"10","author":"Babaeian A.","year":"2015","journal-title":"PLOS One"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1007\/s41468-021-00071-5","volume":"5","author":"Bauer U.","year":"2021","journal-title":"J. Appl. Comput. Topol."},{"key":"ref7","doi-asserted-by":"crossref","first-page":"1373","DOI":"10.1162\/089976603321780317","volume":"15","author":"Belkin M.","year":"2003","journal-title":"Neural Comput."},{"key":"ref9","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s10208-010-9081-1","volume":"11","author":"Bendich P.","year":"2011","journal-title":"Found. Comput. Math."},{"key":"ref11","first-page":"6776","volume":"34","author":"Birdal T.","year":"2021","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref12","first-page":"539","volume-title":"Ann. Inst. Henri Poincar\u00e9 Probab. Stat.","volume":"50","author":"Boissard E.","year":"2014"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"537","DOI":"10.3934\/fods.2021026","volume":"4","author":"Bokor Y.","year":"2022","journal-title":"Found. Data Sci."},{"key":"ref16","volume-title":"NeurIPS Workshop on Symmetry and Geometry in Neural Representations","author":"Brown B. C.","year":"2022"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.ins.2015.08.029","volume":"328","author":"Camastra F.","year":"2016","journal-title":"Inform. Sci."},{"key":"ref19","doi-asserted-by":"crossref","first-page":"1404","DOI":"10.1109\/TPAMI.2002.1039212","volume":"24","author":"Camastra F.","year":"2002","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref20","doi-asserted-by":"crossref","first-page":"2569","DOI":"10.1016\/j.patcog.2014.02.013","volume":"47","author":"Ceruti C.","year":"2014","journal-title":"Pattern Recognit."},{"key":"ref21","volume":"26","author":"Cuturi M.","year":"2013","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/0707001"},{"key":"ref24","volume":"19","author":"Haro G.","year":"2006","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref25","doi-asserted-by":"crossref","first-page":"1745","DOI":"10.1007\/s10208-022-09574-8","volume":"23","author":"Helmer M.","year":"2023","journal-title":"Found. Comput. Math."},{"key":"ref26","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1142\/9789812796936_0011","volume-title":"Selected Papers of Alan J. Hoffman: With Commentary","author":"Hoffman A. J.","year":"2003"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1109\/TPAMI.2014.2343220","volume":"37","author":"Johnsson K.","year":"2014","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref29","volume":"17","author":"Levina E.","year":"2004","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/22M1522711"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1007\/s41468-024-00170-z","volume":"8","author":"M\u00e4der T.","year":"2024","journal-title":"J. Appl. Comput. Topol."},{"key":"ref34","doi-asserted-by":"crossref","first-page":"234115","DOI":"10.1063\/1.3445267","volume":"132","author":"Martin S.","year":"2010","journal-title":"J. Chem. Phys."},{"key":"ref35","doi-asserted-by":"crossref","DOI":"10.21105\/joss.00861","volume":"3","author":"McInnes L.","year":"2018","journal-title":"J. Open Source Softw."},{"key":"ref37","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/s10208-019-09424-0","volume":"20","author":"Nanda V.","year":"2020","journal-title":"Found. Comput. Math."},{"key":"ref38","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/s00454-008-9053-2","volume":"39","author":"Niyogi P.","year":"2008","journal-title":"Discrete Comput. Geom."},{"key":"ref39","first-page":"612","volume-title":"Ann. Probab.","volume":"14","author":"Rootzen H.","year":"1986"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"1443","DOI":"10.1162\/089976601750264965","volume":"13","author":"Sch\u00f6lkopf B.","year":"2001","journal-title":"Neural Comput."},{"key":"ref42","volume-title":"Approximation Theorems of Mathematical Statistics","author":"Serfling R. J.","year":"2009"},{"key":"ref43","series-title":"Proc. SPIE 10394","first-page":"9","volume-title":"Wavelets and Sparsity XVII","author":"Slavakis K.","year":"2017"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"2195","DOI":"10.1214\/12-AOS1034","volume":"40","author":"Soltanolkotabi M.","year":"2012","journal-title":"Ann. Statist."},{"key":"ref45","doi-asserted-by":"crossref","first-page":"19664","DOI":"10.1073\/pnas.2001741117","volume":"117","author":"Stolz B. J.","year":"2020","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"2319","DOI":"10.1126\/science.290.5500.2319","volume":"290","author":"Tenenbaum J. B.","year":"2000","journal-title":"Science"},{"key":"ref47","volume":"9","author":"Van der Maaten L.","year":"2008","journal-title":"J. Mach. Learn. Res."},{"key":"ref48","unstructured":"L. J. P. Van Der Maaten, E. O. Postma, and H. J. van den Herik, Dimensionality reduction: A comparative review, Tilburg University Technical Report, TiCC-TR 2009-005,\u00a02009, https:\/\/www.researchgate.net\/profile\/Eric-Postma\/publication\/228657549_Dimensionality_Reduction_A_Comparative_Review\/links\/0046353a3047fc2863000000\/Dimensionality-Reduction-A-Comparative-Review.pdf."},{"key":"ref51","first-page":"1023","volume-title":"Artificial Intelligence and Statistics","author":"Wang X.","year":"2015"},{"key":"ref52","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1093\/biomet\/asv008","volume":"102","author":"Yu Y.","year":"2015","journal-title":"Biometrika"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502419154"}],"container-title":["SIAM Journal on Mathematics of Data Science"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:27:49Z","timestamp":1763641669000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1665763"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,19]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,12,31]]}},"alternative-id":["10.1137\/24M1665763"],"URL":"https:\/\/doi.org\/10.1137\/24m1665763","relation":{},"ISSN":["2577-0187"],"issn-type":[{"value":"2577-0187","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,19]]}}}