{"id":"https://openalex.org/W2788668988","doi":"https://doi.org/10.1145/3177148.3180095","title":"A variational method to determine the most representative shape of a set of curves and its application to knee kinematic data for pathology classification","display_name":"A variational method to determine the most representative shape of a set of curves and its application to knee kinematic data for pathology classification","publication_year":2018,"publication_date":"2018-03-27","ids":{"openalex":"https://openalex.org/W2788668988","doi":"https://doi.org/10.1145/3177148.3180095","mag":"2788668988"},"language":"en","primary_location":{"id":"doi:10.1145/3177148.3180095","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3177148.3180095","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2nd Mediterranean Conference on Pattern Recognition and Artificial Intelligence","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/A5035478848","display_name":"Badreddine Ben Nouma","orcid":null},"institutions":[{"id":"https://openalex.org/I39481719","display_name":"Institut National de la Recherche Scientifique","ror":"https://ror.org/04td37d32","country_code":"CA","type":"education","lineage":["https://openalex.org/I39481719","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Badreddine Ben Nouma","raw_affiliation_strings":["INRS - \u00c9nergie, mat\u00e9riaux et t\u00e9l\u00e9communications, Montreal, Quebec, Laboratoire de recherche en imagerie et orthop\u00e9die, CRCHUM, Montreal, Quebec"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRS - \u00c9nergie, mat\u00e9riaux et t\u00e9l\u00e9communications, Montreal, Quebec, Laboratoire de recherche en imagerie et orthop\u00e9die, CRCHUM, Montreal, Quebec","institution_ids":["https://openalex.org/I39481719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035371944","display_name":"Neila Mezghani","orcid":"https://orcid.org/0000-0002-5935-4570"},"institutions":[{"id":"https://openalex.org/I200745827","display_name":"Universit\u00e9 T\u00c9LUQ","ror":"https://ror.org/007y6q934","country_code":"CA","type":"education","lineage":["https://openalex.org/I200745827","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Neila Mezghani","raw_affiliation_strings":["LICEF Research Center, TELUQ university, Montreal, Quebec. Laboratoire de recherche en imagerie et orthop\u00e9die, CRCHUM, Montreal, Quebec"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LICEF Research Center, TELUQ university, Montreal, Quebec. Laboratoire de recherche en imagerie et orthop\u00e9die, CRCHUM, Montreal, Quebec","institution_ids":["https://openalex.org/I200745827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008125047","display_name":"Amar Mitiche","orcid":"https://orcid.org/0000-0002-3097-0337"},"institutions":[{"id":"https://openalex.org/I39481719","display_name":"Institut National de la Recherche Scientifique","ror":"https://ror.org/04td37d32","country_code":"CA","type":"education","lineage":["https://openalex.org/I39481719","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amar Mitiche","raw_affiliation_strings":["INRS - \u00c9nergie, mat\u00e9riaux et t\u00e9l\u00e9communications, Montreal, Quebec"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRS - \u00c9nergie, mat\u00e9riaux et t\u00e9l\u00e9communications, Montreal, Quebec","institution_ids":["https://openalex.org/I39481719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013490424","display_name":"Youssef Ouakrim","orcid":"https://orcid.org/0000-0002-4117-052X"},"institutions":[{"id":"https://openalex.org/I200745827","display_name":"Universit\u00e9 T\u00c9LUQ","ror":"https://ror.org/007y6q934","country_code":"CA","type":"education","lineage":["https://openalex.org/I200745827","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Youssef Ouakrim","raw_affiliation_strings":["LICEF Research Center, TELUQ university, Montreal, Quebec"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LICEF Research Center, TELUQ university, Montreal, Quebec","institution_ids":["https://openalex.org/I200745827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":17.2706,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.9893617,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"22","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10105","display_name":"Osteoarthritis Treatment and Mechanisms","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2745","display_name":"Rheumatology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10105","display_name":"Osteoarthritis Treatment and Mechanisms","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2745","display_name":"Rheumatology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.7518163919448853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5948569774627686},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.5552694201469421},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.5466575622558594},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.5320711135864258},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.5220741629600525},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.47640788555145264},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.41478726267814636},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4140038788318634},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40996086597442627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38942432403564453},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.34848490357398987},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31827986240386963},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30359992384910583},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2608286738395691},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.11969420313835144}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7518163919448853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5948569774627686},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.5552694201469421},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.5466575622558594},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.5320711135864258},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.5220741629600525},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.47640788555145264},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.41478726267814636},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4140038788318634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40996086597442627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38942432403564453},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34848490357398987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31827986240386963},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30359992384910583},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2608286738395691},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.11969420313835144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3177148.3180095","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3177148.3180095","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2nd Mediterranean Conference on Pattern Recognition and Artificial Intelligence","raw_type":"proceedings-article"},{"id":"pmh:oai:r-libre.teluq.ca:1381","is_oa":false,"landing_page_url":"https://r-libre.teluq.ca/1381/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401909","display_name":"R-libre (Universit\u00e9 T\u00e9luq)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200745827","host_organization_name":"Universit\u00e9 T\u00c9LUQ","host_organization_lineage":["https://openalex.org/I200745827"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1894638867","https://openalex.org/W1987184743","https://openalex.org/W1993462595","https://openalex.org/W2009782751","https://openalex.org/W2053082706","https://openalex.org/W2057004506","https://openalex.org/W2078722969","https://openalex.org/W2106934154","https://openalex.org/W2114033153","https://openalex.org/W2124348440","https://openalex.org/W2152175008","https://openalex.org/W2152195021","https://openalex.org/W2162012556","https://openalex.org/W2534305702","https://openalex.org/W6682825348"],"related_works":["https://openalex.org/W3006513224","https://openalex.org/W2046456988","https://openalex.org/W2357409937","https://openalex.org/W2510582230","https://openalex.org/W2978674666","https://openalex.org/W2074430941","https://openalex.org/W2113096305","https://openalex.org/W1977636359","https://openalex.org/W3153284170","https://openalex.org/W4297883503"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,17,20,39,43,80,83,92,98,100,113,115,122,130,157,174],"this":[3,47,71],"study":[4],"is":[5,75,136,152],"to":[6,11,25,62,104,119,126,149,154,178,182],"investigate":[7],"a":[8,18,81,95,110,144],"variational":[9],"method":[10,50,145],"determine":[12,183],"the":[13,37,44,52,58,73,101,105,116,120,123,128,133,155,170,175,184],"most":[14,53,185],"representative":[15,54,186],"shape":[16,55,187],"family":[19,59,68,89,107],"curves":[21,60,125],"and":[22,36,67,109,172],"its":[23],"application":[24],"three-dimensional":[26],"knee":[27,31,165],"kinematic":[28],"data":[29,45,96,163],"for":[30,64,87],"pathology":[32],"classification.":[33],"High":[34],"variability":[35],"presence":[38,156],"outliers":[40,65,131],"are":[41,188],"characteristic":[42],"in":[46,132,147,164],"application.":[48],"This":[49],"determines":[51],"by":[56,77,140],"averaging":[57],"corrected":[61,102,117,124],"account":[63],"occurrence":[66],"variability.":[69],"To":[70],"effect,":[72],"correction":[74],"performed":[76],"simultaneous":[78],"minimization":[79],"set":[82],"objective":[84],"functions,":[85],"one":[86],"each":[88],"curve":[90,103,118],"consisting":[91],"two":[93],"terms:":[94],"term":[97,112],"conformity":[99],"given":[106],"curve,":[108],"regularization":[111],"proximity":[114],"mean":[121],"inhibit":[127],"influence":[129],"family.":[134],"Minimization":[135],"carried":[137],"out":[138],"efficiently":[139],"particle":[141],"swarm":[142],"optimization,":[143],"which,":[146],"contrast":[148],"gradient":[150],"descent,":[151],"robust":[153],"outliers.":[158],"Experimental":[159],"results":[160],"using":[161],"real-world":[162],"osteoarthritis":[166],"pattern":[167],"classification":[168],"demonstrate":[169],"validity":[171],"efficiency":[173],"method.":[176],"Comparisons":[177],"conventional":[179],"methods":[180],"used":[181],"given.":[189]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2018-03-06T00:00:00"}