{"id":"https://openalex.org/W4388500938","doi":"https://doi.org/10.1109/tsp.2024.3380899","title":"Multivariate Selfsimilarity: Multiscale Eigen-Structures for Selfsimilarity Parameter Estimation","display_name":"Multivariate Selfsimilarity: Multiscale Eigen-Structures for Selfsimilarity Parameter Estimation","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4388500938","doi":"https://doi.org/10.1109/tsp.2024.3380899"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3380899","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3380899","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04273362v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073471334","display_name":"Charles-G\u00e9rard Lucas","orcid":"https://orcid.org/0000-0002-1517-9862"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210096929"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Charles-G\u00e9rard Lucas","raw_affiliation_strings":["ENSL, CNRS, Laboratoire de physique, Lyon, France"],"affiliations":[{"raw_affiliation_string":"ENSL, CNRS, Laboratoire de physique, Lyon, France","institution_ids":["https://openalex.org/I4210096929","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081762841","display_name":"Gustavo Didier","orcid":"https://orcid.org/0000-0003-1363-5868"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gustavo Didier","raw_affiliation_strings":["Mathematics Department, Tulane University, New Orleans, LA, USA","Tulane University (6823 St Charles Ave, New Orleans, LA 70118 - United States)"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Tulane University, New Orleans, LA, USA","institution_ids":["https://openalex.org/I114832834"]},{"raw_affiliation_string":"Tulane University (6823 St Charles Ave, New Orleans, LA 70118 - United States)","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008685312","display_name":"Herwig Wendt","orcid":"https://orcid.org/0000-0001-6930-3083"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Herwig Wendt","raw_affiliation_strings":["IRIT, University of Toulouse, CNRS, Toulouse, France","CNRS - Centre National de la Recherche Scientifique (France)","IRIT-MINDS - CoMputational imagINg anD viSion (IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9 - France)"],"affiliations":[{"raw_affiliation_string":"IRIT, University of Toulouse, CNRS, Toulouse, France","institution_ids":["https://openalex.org/I4210119061","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210160189","https://openalex.org/I4210152422","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRIT-MINDS - CoMputational imagINg anD viSion (IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9 - France)","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050643672","display_name":"Patrice Abry","orcid":"https://orcid.org/0000-0002-7096-8290"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210096929"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrice Abry","raw_affiliation_strings":["ENSL, CNRS, Laboratoire de physique, Lyon, France"],"affiliations":[{"raw_affiliation_string":"ENSL, CNRS, Laboratoire de physique, Lyon, France","institution_ids":["https://openalex.org/I4210096929","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073471334"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210096929"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00148592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":null,"first_page":"1739","last_page":"1749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.840664267539978},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.8210471868515015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7039166688919067},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.46152132749557495},{"id":"https://openalex.org/keywords/toolbox","display_name":"Toolbox","score":0.4594150483608246},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.4530850648880005},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4496878683567047},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4193260669708252},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3600613474845886},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3290596008300781},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.280938982963562}],"concepts":[{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.840664267539978},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.8210471868515015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7039166688919067},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.46152132749557495},{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.4594150483608246},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.4530850648880005},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4496878683567047},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4193260669708252},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3600613474845886},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3290596008300781},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.280938982963562},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2024.3380899","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3380899","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04273362v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04273362","pdf_url":"https://hal.science/hal-04273362v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1053-587X","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04273362v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04273362","pdf_url":"https://hal.science/hal-04273362v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1053-587X","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3247146357","display_name":null,"funder_award_id":"ANR-18-CE45-0007 MUTATION","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5384144838","display_name":null,"funder_award_id":"#714014","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388500938.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W595580781","https://openalex.org/W602904462","https://openalex.org/W1885000897","https://openalex.org/W1965262908","https://openalex.org/W1965601051","https://openalex.org/W1969575420","https://openalex.org/W1974673435","https://openalex.org/W1998396746","https://openalex.org/W2004913766","https://openalex.org/W2030233683","https://openalex.org/W2034769681","https://openalex.org/W2042129823","https://openalex.org/W2050546963","https://openalex.org/W2074223538","https://openalex.org/W2110065044","https://openalex.org/W2128144507","https://openalex.org/W2153681350","https://openalex.org/W2154993037","https://openalex.org/W2166500681","https://openalex.org/W2244068718","https://openalex.org/W2340213520","https://openalex.org/W2597331672","https://openalex.org/W2612022290","https://openalex.org/W2949151678","https://openalex.org/W2958056374","https://openalex.org/W2962892738","https://openalex.org/W2963256090","https://openalex.org/W2964208788","https://openalex.org/W3100678894","https://openalex.org/W3102362558","https://openalex.org/W4206400311","https://openalex.org/W4225321828","https://openalex.org/W4241961651","https://openalex.org/W4243066586","https://openalex.org/W4246756383","https://openalex.org/W4287329790","https://openalex.org/W4293565924","https://openalex.org/W4301621763","https://openalex.org/W4302067267","https://openalex.org/W4388118225","https://openalex.org/W6703706071","https://openalex.org/W6739308045","https://openalex.org/W6790575403"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2049578243","https://openalex.org/W2000145235","https://openalex.org/W2122079181","https://openalex.org/W1985848810","https://openalex.org/W2889939530","https://openalex.org/W3121881699","https://openalex.org/W2748838164","https://openalex.org/W2066015000","https://openalex.org/W2912721996"],"abstract_inverted_index":{"Scale-free":[0],"dynamics,":[1],"formalized":[2],"by":[3],"selfsimilarity,":[4],"provides":[5],"a":[6,57,123,126],"versatile":[7],"paradigm":[8],"massively":[9],"and":[10,114,117,129,140],"ubiquitously":[11],"used":[12,52],"to":[13],"model":[14],"temporal":[15],"dynamics":[16],"in":[17,53,107,154],"real-world":[18,147],"data.":[19,148,161],"However,":[20],"its":[21],"practical":[22,124,144],"use":[23,145],"has":[24],"mostly":[25],"remained":[26,50],"univariate":[27],"so":[28],"far.":[29],"By":[30],"contrast,":[31],"modern":[32],"applications":[33],"often":[34],"demand":[35],"multivariate":[36,42,98,131],"data":[37],"analysis.":[38],"Accordingly,":[39],"models":[40],"for":[41,64,119,143],"selfsimilarity":[43,68],"were":[44],"recently":[45],"proposed.":[46],"Nevertheless,":[47],"they":[48],"have":[49],"rarely":[51],"practice":[54],"because":[55],"of":[56,59,67,89,93,97,111],"lack":[58],"available":[60,139],"reliable":[61],"estimation":[62,82,102,134],"procedures":[63],"the":[65,75,86,90,94,108],"vector":[66],"parameters.":[69],"Building":[70],"upon":[71],"recent":[72],"mathematical":[73],"developments,":[74],"present":[76],"work":[77],"puts":[78],"forth":[79],"an":[80],"efficient":[81],"procedure":[83],"based":[84],"on":[85,146],"theoretical":[87],"study":[88],"multiscale":[91],"eigenstructure":[92],"wavelet":[95],"spectrum":[96],"selfsimilar":[99],"processes.":[100],"The":[101],"performance":[103],"is":[104,136,141],"studied":[105],"theoretically":[106],"asymptotic":[109],"limits":[110],"large":[112],"scale":[113],"sample":[115],"sizes,":[116],"computationally":[118],"finite-size":[120],"samples.":[121],"As":[122],"outcome,":[125],"fully":[127],"operational":[128],"documented":[130],"signal":[132],"processing":[133],"toolbox":[135],"made":[137],"freely":[138],"ready":[142],"Its":[149],"potential":[150],"benefits":[151],"are":[152],"illustrated":[153],"epileptic":[155],"seizure":[156],"prediction":[157],"from":[158],"multi-channel":[159],"EEG":[160]},"counts_by_year":[],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}