{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T20:58:34Z","timestamp":1771621114269,"version":"3.50.1"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["ERC-2015-AdG 695561"],"award-info":[{"award-number":["ERC-2015-AdG 695561"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Comunidad de Madrid and the Complutense University of Madrid","award":["2019-T1\/TIC-13298"],"award-info":[{"award-number":["2019-T1\/TIC-13298"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Pattern Anal. Mach. Intell."],"published-print":{"date-parts":[[2022,12,1]]},"DOI":"10.1109\/tpami.2021.3124973","type":"journal-article","created":{"date-parts":[[2021,11,10]],"date-time":"2021-11-10T22:41:56Z","timestamp":1636584116000},"page":"9119-9130","source":"Crossref","is-referenced-by-count":8,"title":["Regularization of Mixture Models for Robust Principal Graph Learning"],"prefix":"10.1109","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2149-8795","authenticated-orcid":false,"given":"Tony","family":"Bonnaire","sequence":"first","affiliation":[{"name":"CNRS, Laboratoire de recherche en informatique, Gif-sur-Yvette, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3017-0858","authenticated-orcid":false,"given":"Aurelien","family":"Decelle","sequence":"additional","affiliation":[{"name":"Université Paris-Saclay, Gif-sur-Yvette, France"}]},{"given":"Nabila","family":"Aghanim","sequence":"additional","affiliation":[{"name":"Université Paris-Saclay, Gif-sur-Yvette, France"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2882581"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1093\/mnras\/216.1.17","article-title":"Minimal spanning trees, fílaments and galaxy clustering","volume":"216","author":"barrow","year":"1985","journal-title":"Monthly Notices of the Royal Astronomical Society"},{"key":"ref33","first-page":"1285","article-title":"Regularization-free principal curve estimation","volume":"14","author":"gerber","year":"2013","journal-title":"J Mach Learn Res"},{"key":"ref32","author":"mclachlan","year":"1997","journal-title":"The EM Algorithm and Extensions"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-011-9098-0"},{"key":"ref30","first-page":"5845","article-title":"Robust topological inference: Distance to a measure and kernel distance","volume":"18","author":"chazal","year":"2017","journal-title":"J Mach Learn Res"},{"key":"ref37","doi-asserted-by":"crossref","DOI":"10.1186\/s40668-019-0028-x","article-title":"The IllustrisTNG simulations : Public data release","volume":"6","author":"nelson","year":"2019","journal-title":"Comput Astrophys Cosmol"},{"key":"ref36","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.103.012105","article-title":"Cascade of phase transitions for multi-scale clustering","volume":"103","author":"bonnaire","year":"2021","journal-title":"Phys Rev E"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/S0893-6080(97)00133-0","article-title":"Deterministic annealing EM algorithm","volume":"11","author":"ueda","year":"1998","journal-title":"Neural Netw"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s10182-013-0216-y"},{"key":"ref10","first-page":"1249","article-title":"Locally defined principal curves and surfaces","volume":"12","author":"ozertem","year":"2011","journal-title":"J Mach Learn Res"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-005-0122-6"},{"key":"ref12","first-page":"28","article-title":"Principal graphs and manifolds","author":"gorban","year":"2009","journal-title":"Proc Handb Res Mach Learn Appl Trends Algorithms Methods Tech"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974010.89"},{"key":"ref14","article-title":"Robust principal graphs for data approximation","author":"gorban","year":"2016"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.3390\/e22030296"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1214\/14-AOS1218"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055330"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/34.400568"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/34.862198"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1093\/mnras\/stx1976"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1051\/0004-6361\/201936859"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s10707-014-0222-6"},{"key":"ref27","first-page":"585","article-title":"Laplacian eigenmaps and spectral techniques for embedding and clustering","author":"belkin","year":"2001","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref6","first-page":"66","article-title":"Dimensionality reduction: A comparative review","volume":"10","author":"van der maaten","year":"2009","journal-title":"J Mach Learn Res"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cmpb.2018.02.001"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-002-2885-2"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/34.841759"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1989.10478797"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1162\/089976603321780317"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01889678"},{"key":"ref1","doi-asserted-by":"crossref","first-page":"2323","DOI":"10.1126\/science.290.5500.2323","article-title":"Nonlinear dimensionality reduction by locally linear embedding","volume":"290","author":"roweis","year":"2000","journal-title":"Science"},{"key":"ref20","article-title":"Generalized mode and ridge estimation","author":"chen","year":"2014"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2016.2635657"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","article-title":"Maximum likelihood from incomplete data via the EM algorithm","volume":"39","author":"dempster","year":"1977","journal-title":"J Roy Stat Soc"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-45167-9_12"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12713"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1990.2.1.1"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.2307\/2033241"}],"container-title":["IEEE Transactions on Pattern Analysis and Machine Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/34\/9940447\/09610018.pdf?arnumber=9610018","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T22:26:30Z","timestamp":1726093590000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9610018\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,1]]},"references-count":39,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tpami.2021.3124973","relation":{},"ISSN":["0162-8828","2160-9292","1939-3539"],"issn-type":[{"value":"0162-8828","type":"print"},{"value":"2160-9292","type":"electronic"},{"value":"1939-3539","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,1]]}}}