{"id":"https://openalex.org/W4403390100","doi":"https://doi.org/10.1109/lsp.2024.3479918","title":"A New Family of Graph Representation Matrices: Application to Graph and Signal Classification","display_name":"A New Family of Graph Representation Matrices: Application to Graph and Signal Classification","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403390100","doi":"https://doi.org/10.1109/lsp.2024.3479918"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2024.3479918","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3479918","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","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/A5058928881","display_name":"Tristan Averty","orcid":null},"institutions":[{"id":"https://openalex.org/I183158303","display_name":"\u00c9cole Navale","ror":"https://ror.org/030txnd05","country_code":"FR","type":"education","lineage":["https://openalex.org/I183158303"]},{"id":"https://openalex.org/I2801296886","display_name":"Institut de Recherche de l\u2019\u00c9cole Navale","ror":"https://ror.org/01v6shv96","country_code":"FR","type":"facility","lineage":["https://openalex.org/I183158303","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I2801296886","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Averty","raw_affiliation_strings":["Arts et M&#x00E9;tiers Institute of Technology, &#x00C9;cole navale, IRENav, Brest Cedex 9, France"],"raw_orcid":"https://orcid.org/0009-0009-4297-865X","affiliations":[{"raw_affiliation_string":"Arts et M&#x00E9;tiers Institute of Technology, &#x00C9;cole navale, IRENav, Brest Cedex 9, France","institution_ids":["https://openalex.org/I183158303","https://openalex.org/I2801296886"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102735803","display_name":"Abdel-Ouahab Boudraa","orcid":"https://orcid.org/0000-0001-6717-6965"},"institutions":[{"id":"https://openalex.org/I183158303","display_name":"\u00c9cole Navale","ror":"https://ror.org/030txnd05","country_code":"FR","type":"education","lineage":["https://openalex.org/I183158303"]},{"id":"https://openalex.org/I2801296886","display_name":"Institut de Recherche de l\u2019\u00c9cole Navale","ror":"https://ror.org/01v6shv96","country_code":"FR","type":"facility","lineage":["https://openalex.org/I183158303","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I2801296886","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. O. Boudraa","raw_affiliation_strings":["Arts et M&#x00E9;tiers Institute of Technology, &#x00C9;cole navale, IRENav, Brest Cedex 9, France"],"raw_orcid":"https://orcid.org/0000-0001-6717-6965","affiliations":[{"raw_affiliation_string":"Arts et M&#x00E9;tiers Institute of Technology, &#x00C9;cole navale, IRENav, Brest Cedex 9, France","institution_ids":["https://openalex.org/I183158303","https://openalex.org/I2801296886"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054879969","display_name":"Delphine Dar\u00e9-Emzivat","orcid":null},"institutions":[{"id":"https://openalex.org/I183158303","display_name":"\u00c9cole Navale","ror":"https://ror.org/030txnd05","country_code":"FR","type":"education","lineage":["https://openalex.org/I183158303"]},{"id":"https://openalex.org/I2801296886","display_name":"Institut de Recherche de l\u2019\u00c9cole Navale","ror":"https://ror.org/01v6shv96","country_code":"FR","type":"facility","lineage":["https://openalex.org/I183158303","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I2801296886","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Dar\u00e9-Emzivat","raw_affiliation_strings":["Arts et M&#x00E9;tiers Institute of Technology, &#x00C9;cole navale, IRENav, Brest Cedex 9, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arts et M&#x00E9;tiers Institute of Technology, &#x00C9;cole navale, IRENav, Brest Cedex 9, France","institution_ids":["https://openalex.org/I183158303","https://openalex.org/I2801296886"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3055,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6559519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"31","issue":null,"first_page":"2935","last_page":"2939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9090999960899353,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5693967342376709},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49536168575286865},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4156070053577423}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5693967342376709},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49536168575286865},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4156070053577423}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2024.3479918","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3479918","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1561605110","https://openalex.org/W1698699930","https://openalex.org/W1962523215","https://openalex.org/W1966432171","https://openalex.org/W1979908024","https://openalex.org/W2008857988","https://openalex.org/W2025167103","https://openalex.org/W2056562706","https://openalex.org/W2070431877","https://openalex.org/W2082119873","https://openalex.org/W2101491865","https://openalex.org/W2104550457","https://openalex.org/W2142441937","https://openalex.org/W2482093979","https://openalex.org/W2494834885","https://openalex.org/W2514637695","https://openalex.org/W2571154939","https://openalex.org/W2774112363","https://openalex.org/W2786298991","https://openalex.org/W2796431263","https://openalex.org/W2904592790","https://openalex.org/W2963258333","https://openalex.org/W2963768879","https://openalex.org/W2998217045","https://openalex.org/W3041880577","https://openalex.org/W3095213891","https://openalex.org/W3111706701","https://openalex.org/W3121128031","https://openalex.org/W3124501589","https://openalex.org/W3167915546","https://openalex.org/W4230962939","https://openalex.org/W4238452917","https://openalex.org/W4388686932","https://openalex.org/W6746598394"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032"],"abstract_inverted_index":{"Most":[0],"natural":[1],"matrices":[2,101],"that":[3,80,151],"incorporate":[4],"information":[5,33,83,106],"about":[6,84],"a":[7,75],"graph":[8,26,43,67,105,134],"are":[9,117],"the":[10,13,20,39,45,61,65,91,104,109,113,124,137,140,152,157,160],"adjacency":[11],"and":[12,23,51,86,107,123,139,149],"Laplacian":[14],"matrices.":[15,59],"These":[16],"algebraic":[17],"representations":[18,79],"govern":[19],"fundamental":[21],"concepts":[22],"tools":[24],"in":[25,34,38],"signal":[27],"processing":[28],"even":[29],"though":[30],"they":[31],"reveal":[32],"different":[35],"ways.":[36],"Furthermore,":[37],"context":[40],"of":[41,47,63,78,99,112,126,132,143,147,159],"spectral":[42,133],"classification,":[44],"problem":[46],"cospectrality":[48],"may":[49],"arise":[50],"it":[52],"is":[53,95],"not":[54],"well":[55,81,102],"handled":[56],"by":[57],"these":[58],"Thus,":[60],"question":[62],"finding":[64],"best":[66,153],"representation":[68,93,154],"matrix":[69],"still":[70],"stands.":[71],"In":[72],"this":[73,144],"letter,":[74],"new":[76,145],"family":[77,98,146],"captures":[82,103],"graphs":[85],"also":[87],"allows":[88],"to":[89],"find":[90],"standard":[92],"matrices,":[94,148],"introduced.":[96],"This":[97],"unified":[100],"extends":[108],"recent":[110],"works":[111],"literature.":[114],"Two":[115],"properties":[116],"proven,":[118],"namely":[119],"its":[120],"positive":[121],"semidefiniteness":[122],"monotonicity":[125],"their":[127],"eigenvalues.":[128],"Reported":[129],"experimental":[130],"results":[131],"classification":[135],"highlight":[136],"potential":[138],"added":[141],"value":[142],"evidence":[150],"depends":[155],"upon":[156],"structure":[158],"underlying":[161],"graph.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
