{"id":"https://openalex.org/W2651502460","doi":"https://doi.org/10.1109/icassp.2017.7952904","title":"Multivariate scale-free dynamics: Testing fractal connectivity","display_name":"Multivariate scale-free dynamics: Testing fractal connectivity","publication_year":2017,"publication_date":"2017-03-01","ids":{"openalex":"https://openalex.org/W2651502460","doi":"https://doi.org/10.1109/icassp.2017.7952904","mag":"2651502460"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2017.7952904","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2017.7952904","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048199195","display_name":"S\u00e9bastien Combrexelle","orcid":null},"institutions":[{"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/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"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/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"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"]},{"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"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Combrexelle","raw_affiliation_strings":["IRIT-ENSEEIHT, Universit\u00e9 de Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT-ENSEEIHT, Universit\u00e9 de Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I205747304","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189","https://openalex.org/I4387153255"]}]},{"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/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/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"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/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"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"]},{"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"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. Wendt","raw_affiliation_strings":["IRIT-ENSEEIHT, Universit\u00e9 de Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT-ENSEEIHT, Universit\u00e9 de Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I205747304","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189","https://openalex.org/I4387153255"]}]},{"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":"G. Didier","raw_affiliation_strings":["Math. Dept., Tulane University, New Orleans, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math. Dept., Tulane University, New Orleans, USA","institution_ids":["https://openalex.org/I114832834"]}]},{"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/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Abry","raw_affiliation_strings":["Physics Dept., Universit\u00e9 de Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Dept., Universit\u00e9 de Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":10,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3984","last_page":"3988"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.8395818471908569},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6251100897789001},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6092871427536011},{"id":"https://openalex.org/keywords/hurst-exponent","display_name":"Hurst exponent","score":0.49271753430366516},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46908608078956604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46895521879196167},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4284769892692566},{"id":"https://openalex.org/keywords/fractal-analysis","display_name":"Fractal analysis","score":0.4246799349784851},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4217706620693207},{"id":"https://openalex.org/keywords/multivariate-t-distribution","display_name":"Multivariate t-distribution","score":0.41974204778671265},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4114643931388855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4046887159347534},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.3394638001918793},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32903286814689636},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.270441472530365},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.25869160890579224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08224475383758545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0772811770439148}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.8395818471908569},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6251100897789001},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6092871427536011},{"id":"https://openalex.org/C96835011","wikidata":"https://www.wikidata.org/wiki/Q1638718","display_name":"Hurst exponent","level":2,"score":0.49271753430366516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46908608078956604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46895521879196167},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4284769892692566},{"id":"https://openalex.org/C162494671","wikidata":"https://www.wikidata.org/wiki/Q2845227","display_name":"Fractal analysis","level":4,"score":0.4246799349784851},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4217706620693207},{"id":"https://openalex.org/C172713675","wikidata":"https://www.wikidata.org/wiki/Q6935144","display_name":"Multivariate t-distribution","level":4,"score":0.41974204778671265},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4114643931388855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4046887159347534},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.3394638001918793},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32903286814689636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.270441472530365},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.25869160890579224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08224475383758545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0772811770439148},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2017.7952904","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2017.7952904","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1607632979","https://openalex.org/W1968485253","https://openalex.org/W1974673435","https://openalex.org/W1986818175","https://openalex.org/W2004913766","https://openalex.org/W2022894179","https://openalex.org/W2031753087","https://openalex.org/W2042129823","https://openalex.org/W2043711675","https://openalex.org/W2062962812","https://openalex.org/W2070775244","https://openalex.org/W2074223538","https://openalex.org/W2102616700","https://openalex.org/W2115755118","https://openalex.org/W2146776035","https://openalex.org/W2161798353","https://openalex.org/W2164214015","https://openalex.org/W2166500681","https://openalex.org/W2962892738","https://openalex.org/W2964208788","https://openalex.org/W3100678894","https://openalex.org/W3102362558","https://openalex.org/W4292963524","https://openalex.org/W6639044769","https://openalex.org/W6766376111"],"related_works":["https://openalex.org/W2241220011","https://openalex.org/W2901062017","https://openalex.org/W2056477020","https://openalex.org/W3008367781","https://openalex.org/W4244902284","https://openalex.org/W4245300359","https://openalex.org/W2566522989","https://openalex.org/W2009797792","https://openalex.org/W2591940067","https://openalex.org/W2151685848"],"abstract_inverted_index":{"Scale-free":[0],"dynamics":[1],"commonly":[2],"appear":[3],"in":[4,18],"individual":[5],"components":[6],"of":[7,14,67,79,82,92,125,134],"multivariate":[8,21,30,41],"data.":[9],"Yet,":[10],"while":[11],"the":[12,77,83,90,97,123,126,132,135],"behavior":[13],"cross-components":[15],"is":[16],"crucial":[17],"modeling":[19],"real-world":[20],"data,":[22],"their":[23],"examination":[24],"often":[25],"suggests":[26],"departures":[27,61],"from":[28,62],"exact":[29],"self-similarity":[31],"(also":[32],"termed":[33],"fractal":[34,63,84,114,136],"connectivity).":[35],"The":[36,65],"present":[37],"paper":[38],"introduces":[39],"a":[40,54,111],"Gaussian":[42],"stochastic":[43],"process":[44],"with":[45],"Hadamard":[46],"(i.e.,":[47],"entry-wise)":[48],"self-similar":[49],"scale-free":[50],"dynamics,":[51],"controlled":[52],"by":[53],"matrix":[55],"Hurst":[56],"parameter":[57],"H,":[58],"that":[59],"allows":[60],"connectivity.":[64,115],"properties":[66],"its":[68],"wavelet":[69,72],"coefficients":[70],"and":[71,81,131],"spectrum":[73],"are":[74,119],"studied,":[75],"enabling":[76],"estimation":[78],"H":[80],"connectivity":[85,137],"parameter.":[86],"Furthermore,":[87],"it":[88],"permits":[89],"computation":[91],"closed-form":[93],"confidence":[94,129],"intervals":[95,130],"for":[96,113],"estimates":[98],"based":[99],"on":[100],"approximate":[101,128],"(wavelet)":[102],"covariances.":[103],"Finally,":[104],"these":[105],"developments":[106],"enable":[107],"us":[108],"to":[109,121],"devise":[110],"test":[112],"Monte":[116],"Carlo":[117],"simulations":[118],"used":[120],"assess":[122],"accuracy":[124],"proposed":[127],"performance":[133],"test.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}