{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T13:55:40Z","timestamp":1775483740027,"version":"3.50.1"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T00:00:00Z","timestamp":1581465600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T00:00:00Z","timestamp":1581465600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"CWD-VetLab","award":["ANR 16-LCV2-0002-01"],"award-info":[{"award-number":["ANR 16-LCV2-0002-01"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s00180-020-00958-4","type":"journal-article","created":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T20:03:48Z","timestamp":1581537828000},"page":"1101-1131","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":63,"title":["Clustering multivariate functional data in group-specific functional subspaces"],"prefix":"10.1007","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2523-0411","authenticated-orcid":false,"given":"Amandine","family":"Schmutz","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4808-2781","authenticated-orcid":false,"given":"Julien","family":"Jacques","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6956-4491","authenticated-orcid":false,"given":"Charles","family":"Bouveyron","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2265-9781","authenticated-orcid":false,"given":"Laurence","family":"Ch\u00e8ze","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3571-4244","authenticated-orcid":false,"given":"Pauline","family":"Martin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,2,12]]},"reference":[{"key":"958_CR1","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"9","author":"H Akaike","year":"1974","unstructured":"Akaike H (1974) A new look at the statistical model identification. IEEE Tran Autom Control 9:716\u2013723","journal-title":"IEEE Tran Autom Control"},{"issue":"12","key":"958_CR2","doi-asserted-by":"crossref","first-page":"2926","DOI":"10.1016\/j.csda.2009.09.031","volume":"54","author":"RM Basso","year":"2010","unstructured":"Basso RM, Lachos VH, Cabral CRB, Ghosh P (2010) Robust mixture modeling based on scale mixtures of skew-normal distributions. Comput Stat Data Anal 54(12):2926\u20132941","journal-title":"Comput Stat Data Anal"},{"key":"958_CR3","doi-asserted-by":"crossref","first-page":"2619","DOI":"10.1016\/j.csda.2011.03.011","volume":"55","author":"J Berrendero","year":"2011","unstructured":"Berrendero J, Justel A, Svarc M (2011) Principal components for multivariate functional data. Comput Stat Data Anal 55:2619\u2013263","journal-title":"Comput Stat Data Anal"},{"key":"958_CR4","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1109\/34.865189","volume":"22","author":"C Biernacki","year":"2000","unstructured":"Biernacki C, Celeux G, Govaert G (2000) Assessing a mixture model for clustering with the integrated completed likelihood. IEEE Trans PAMI 22:719\u2013725","journal-title":"IEEE Trans PAMI"},{"key":"958_CR5","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s00440-006-0011-8","volume":"138","author":"L Birge","year":"2007","unstructured":"Birge L, Massart P (2007) Minimal penalties for Gaussian model selection. Probab Theory Relat Fields 138:33\u201373","journal-title":"Probab Theory Relat Fields"},{"issue":"C","key":"958_CR6","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.csda.2016.01.019","volume":"99","author":"EG Bongiorno","year":"2016","unstructured":"Bongiorno EG, Goia A (2016) Classification methods for hilbert data based on surrogate density. Comput Stat Data Anal 99(C):204\u2013222","journal-title":"Comput Stat Data Anal"},{"issue":"4","key":"958_CR7","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1007\/s11634-011-0095-6","volume":"5","author":"C Bouveyron","year":"2011","unstructured":"Bouveyron C, Jacques J (2011) Model-based clustering of time series in group-specific functional subspaces. Adv Data Anal Classif 5(4):281\u2013300","journal-title":"Adv Data Anal Classif"},{"issue":"4","key":"958_CR8","doi-asserted-by":"crossref","first-page":"1726","DOI":"10.1214\/15-AOAS861","volume":"9","author":"C Bouveyron","year":"2015","unstructured":"Bouveyron C, Come E, Jacques J (2015) The discriminative functional mixture model for the analysis of bike sharing systems. Ann Appl Stat 9(4):1726\u20131760","journal-title":"Ann Appl Stat"},{"key":"958_CR9","series-title":"Statistical and probabilistic mathematics","doi-asserted-by":"crossref","DOI":"10.1017\/9781108644181","volume-title":"Model-based clustering and classification for data science: with applications in R","author":"C Bouveyron","year":"2019","unstructured":"Bouveyron C, Celeux G, Murphy T, Raftery A (2019) Model-based clustering and classification for data science: with applications in R. Statistical and probabilistic mathematics. Cambridge University Press, Cambridge"},{"issue":"442","key":"958_CR10","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1080\/01621459.1998.10473711","volume":"93","author":"S Byers","year":"1998","unstructured":"Byers S, Raftery AE (1998) Nearest-neighbor clutter removal for estimating features in spatial point processes. J Am Stat Assoc 93(442):577\u2013584","journal-title":"J Am Stat Assoc"},{"issue":"2","key":"958_CR11","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1207\/s15327906mbr0102_10","volume":"1","author":"R Cattell","year":"1966","unstructured":"Cattell R (1966) The scree test for the number of factors. Multivar Behav Res 1(2):245\u2013276","journal-title":"Multivar Behav Res"},{"key":"958_CR12","doi-asserted-by":"crossref","first-page":"1181","DOI":"10.1007\/s11222-016-9679-5","volume":"27","author":"L Chen","year":"2016","unstructured":"Chen L, Jiang C (2016) Multi-dimensional functional principal component analysis. Stat Comput 27:1181\u20131192","journal-title":"Stat Comput"},{"key":"958_CR13","first-page":"1571","volume":"24","author":"J Chiou","year":"2014","unstructured":"Chiou J, Chen Y, Yang Y (2014) Multivariate functional principal component analysis: a normalization approach. Stat Sin 24:1571\u20131596","journal-title":"Stat Sin"},{"issue":"4","key":"958_CR14","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1111\/j.1467-9868.2007.00605.x","volume":"69","author":"JM Chiou","year":"2007","unstructured":"Chiou JM, Li PL (2007) Functional clustering and identifying substructures of longitudinal data. J R Stat Soc Ser B Stat Methodol 69(4):679\u2013699","journal-title":"J R Stat Soc Ser B Stat Methodol"},{"issue":"1","key":"958_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","volume":"39","author":"A Dempster","year":"1977","unstructured":"Dempster A, Laird N, Rubin D (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc 39(1):1\u201338","journal-title":"J R Stat Soc"},{"key":"958_CR16","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/S0167-9473(03)00032-X","volume":"44","author":"F Ferraty","year":"2003","unstructured":"Ferraty F, Vieu P (2003) Curves discrimination: a nonparametric approach. Comput Stat Data Anal 44:161\u2013173","journal-title":"Comput Stat Data Anal"},{"issue":"1","key":"958_CR17","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1214\/009053604000000940","volume":"33","author":"MT Gallegos","year":"2005","unstructured":"Gallegos MT, Ritter G (2005) A robust method for cluster analysis. Ann Stat 33(1):347\u2013380","journal-title":"Ann Stat"},{"key":"958_CR18","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/s11634-009-0044-9","volume":"3","author":"MT Gallegos","year":"2009","unstructured":"Gallegos MT, Ritter G (2009) Trimming algorithms for clustering contaminated grouped data and their robustness. Adv Data Anal Classif 3:135\u2013167","journal-title":"Adv Data Anal Classif"},{"key":"958_CR19","first-page":"127","volume-title":"The noise component in model-based cluster analysis","author":"C Hennig","year":"2007","unstructured":"Hennig C, Coretto P (2007) The noise component in model-based cluster analysis. Springer, Berlin, pp 127\u2013138"},{"key":"958_CR20","doi-asserted-by":"crossref","first-page":"1648","DOI":"10.1177\/0962280213495988","volume":"25","author":"F Ieva","year":"2016","unstructured":"Ieva F, Paganoni AM (2016) Risk prediction for myocardial infarction via generalized functional regression models. Stat Methods Med Res 25:1648\u20131660","journal-title":"Stat Methods Med Res"},{"issue":"3","key":"958_CR21","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1111\/j.1467-9876.2012.01062.x","volume":"62","author":"F Ieva","year":"2013","unstructured":"Ieva F, Paganoni A, Pigoli D, Vitelli V (2013) Multivariate functional clustering for the morphological analysis of ECG curves. J R Stat Soc Series C (Appl Stat) 62(3):401\u2013418","journal-title":"J R Stat Soc Series C (Appl Stat)"},{"key":"958_CR22","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.neucom.2012.11.042","volume":"112","author":"J Jacques","year":"2013","unstructured":"Jacques J, Preda C (2013) Funclust: a curves clustering method using functional random variable density approximation. Neurocomputing 112:164\u2013171","journal-title":"Neurocomputing"},{"issue":"3","key":"958_CR23","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/s11634-013-0158-y","volume":"8","author":"J Jacques","year":"2014","unstructured":"Jacques J, Preda C (2014a) Functional data clustering: a survey. Adv Data Anal Classif 8(3):231\u2013255","journal-title":"Adv Data Anal Classif"},{"key":"958_CR24","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.csda.2012.12.004","volume":"71","author":"J Jacques","year":"2014","unstructured":"Jacques J, Preda C (2014b) Model based clustering for multivariate functional data. Comput Stat Data Anal 71:92\u2013106","journal-title":"Comput Stat Data Anal"},{"issue":"462","key":"958_CR25","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1198\/016214503000189","volume":"98","author":"G James","year":"2003","unstructured":"James G, Sugar C (2003) Clustering for sparsely sampled functional data. J Am Stat Assoc 98(462):397\u2013408","journal-title":"J Am Stat Assoc"},{"key":"958_CR26","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/s00357-010-9054-8","volume":"27","author":"M Kayano","year":"2010","unstructured":"Kayano M, Dozono K, Konishi S (2010) Functional cluster analysis via orthonormalized Gaussian basis expansions and its application. J Classif 27:211\u2013230","journal-title":"J Classif"},{"key":"958_CR27","unstructured":"Petersen KB, Pedersen MS (2012) The matrix cookbook. http:\/\/www2.imm.dtu.dk\/pubdb\/p.php?3274, version 20121115"},{"key":"958_CR28","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1016\/j.jspi.2006.06.011","volume":"137","author":"C Preda","year":"2007","unstructured":"Preda C (2007) Regression models for functional data by reproducing kernel hilbert spaces methods. J Stat Plan Inference 137:829\u2013840","journal-title":"J Stat Plan Inference"},{"key":"958_CR29","unstructured":"R Core Team (2017) R: a language and environment for statistical computing. R foundation for statistical computing, Vienna, Austria, https:\/\/www.R-project.org\/"},{"key":"958_CR30","series-title":"Springer series in statistics","doi-asserted-by":"crossref","DOI":"10.1007\/b98888","volume-title":"Functional data analysis","author":"JO Ramsay","year":"2005","unstructured":"Ramsay JO, Silverman BW (2005) Functional data analysis, 2nd edn. Springer series in statistics. Springer, New York","edition":"2"},{"issue":"336","key":"958_CR31","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1080\/01621459.1971.10482356","volume":"66","author":"WM Rand","year":"1971","unstructured":"Rand WM (1971) Objective criteria for the evaluation of clustering methods. J Am Stat Assoc 66(336):846\u2013850","journal-title":"J Am Stat Assoc"},{"key":"958_CR32","first-page":"7","volume":"37\u201338","author":"G Saporta","year":"1981","unstructured":"Saporta G (1981) M\u00e9thodes exploratoires d\u2019analyse de donn\u00e9es temporelles. Cahiers du Bureau universitaire de recherche op\u00e9rationnelle S\u00e9rie Recherche 37\u201338:7\u2013194","journal-title":"Cahiers du Bureau universitaire de recherche op\u00e9rationnelle S\u00e9rie Recherche"},{"issue":"2","key":"958_CR33","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1214\/aos\/1176344136","volume":"6","author":"G Schwarz","year":"1978","unstructured":"Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6(2):461\u2013464","journal-title":"Ann Stat"},{"key":"958_CR34","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1002\/cem.945","volume":"19","author":"A Singhal","year":"2005","unstructured":"Singhal A, Seborg D (2005) Clustering multivariate time-series data. J Chemom 19:427\u2013438","journal-title":"J Chemom"},{"issue":"1","key":"958_CR35","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s00357-003-0007-3","volume":"20","author":"T Tarpey","year":"2003","unstructured":"Tarpey T, Kinateder K (2003) Clustering functional data. J Classif 20(1):93\u2013114","journal-title":"J Classif"},{"key":"958_CR36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00180-006-0013-0","volume":"22","author":"S Tokushige","year":"2007","unstructured":"Tokushige S, Yadohisa H, Inada K (2007) Crisp and fuzzy k-means clustering algorithms for multivariate functional data. Comput Stat 22:1\u201316","journal-title":"Comput Stat"},{"issue":"2","key":"958_CR37","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1007\/s00180-018-00864-w","volume":"34","author":"OI Traore","year":"2019","unstructured":"Traore OI, Cristini P, Favretto-Cristini N, Pantera L, Vieu P, Viguier-Pla S (2019) Clustering acoustic emission signals by mixing two stages dimension reduction and nonparametric approaches. Comput Stat 34(2):631\u2013652","journal-title":"Comput Stat"},{"key":"958_CR38","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s11634-012-0113-3","volume":"6","author":"M Yamamoto","year":"2012","unstructured":"Yamamoto M (2012) Clustering of functional data in a low-dimensional subspace. Adv Data Anal Classif 6:219\u2013247","journal-title":"Adv Data Anal Classif"},{"key":"958_CR39","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.csda.2014.05.010","volume":"79","author":"M Yamamoto","year":"2014","unstructured":"Yamamoto M, Terada Y (2014) Functional factorial k-means analysis. Comput Stat Data Anal 79:133\u2013148","journal-title":"Comput Stat Data Anal"},{"key":"958_CR40","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1007\/s00357-017-9232-z","volume":"34","author":"M Yamamoto","year":"2017","unstructured":"Yamamoto M, Hwang H (2017) Dimension-reduced clustering of functional data via subspace separation. J Classif 34:294\u2013326","journal-title":"J Classif"},{"issue":"2","key":"958_CR41","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1007\/s00180-018-0808-9","volume":"34","author":"AZ Zambom","year":"2019","unstructured":"Zambom AZ, Collazos JA, Dias R (2019) Functional data clustering via hypothesis testing k-means. Comput Stat 34(2):527\u2013549","journal-title":"Comput Stat"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-020-00958-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-020-00958-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-020-00958-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,31]],"date-time":"2024-07-31T14:35:14Z","timestamp":1722436514000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-020-00958-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,12]]},"references-count":41,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["958"],"URL":"https:\/\/doi.org\/10.1007\/s00180-020-00958-4","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,12]]},"assertion":[{"value":"29 May 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 January 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 February 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}]}}