{"id":"https://openalex.org/W1955810716","doi":"https://doi.org/10.1109/eusipco.2015.7362633","title":"Toward an uncertainty principle for weighted graphs","display_name":"Toward an uncertainty principle for weighted graphs","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1955810716","doi":"https://doi.org/10.1109/eusipco.2015.7362633","mag":"1955810716"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2015.7362633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01270655","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054014548","display_name":"Bastien Pasdeloup","orcid":"https://orcid.org/0000-0002-8417-7537"},"institutions":[{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bastien Pasdeloup","raw_affiliation_strings":["Telecom Bretagne UMR CNRS Lab-STICC","Lab-STICC_TB_CID_TOMS","D\u00e9partement Electronique","D\u00e9partement Signal et Communications","D\u00e9partement Image et Traitement Information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecom Bretagne UMR CNRS Lab-STICC","institution_ids":["https://openalex.org/I4210123702","https://openalex.org/I205703379"]},{"raw_affiliation_string":"Lab-STICC_TB_CID_TOMS","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Electronique","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Signal et Communications","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Image et Traitement Information","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061653818","display_name":"R\u00e9da Alami","orcid":null},"institutions":[{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Reda Alami","raw_affiliation_strings":["Telecom Bretagne UMR CNRS Lab-STICC","T\u00e9l\u00e9com Bretagne (Institut Mines-T\u00e9l\u00e9com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecom Bretagne UMR CNRS Lab-STICC","institution_ids":["https://openalex.org/I4210123702","https://openalex.org/I205703379"]},{"raw_affiliation_string":"T\u00e9l\u00e9com Bretagne (Institut Mines-T\u00e9l\u00e9com)","institution_ids":["https://openalex.org/I205703379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068330560","display_name":"Vincent Gripon","orcid":"https://orcid.org/0000-0002-4353-4542"},"institutions":[{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Gripon","raw_affiliation_strings":["Telecom Bretagne UMR CNRS Lab-STICC","Lab-STICC_TB_CACS_IAS","D\u00e9partement Electronique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecom Bretagne UMR CNRS Lab-STICC","institution_ids":["https://openalex.org/I4210123702","https://openalex.org/I205703379"]},{"raw_affiliation_string":"Lab-STICC_TB_CACS_IAS","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Electronique","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089819604","display_name":"Michael Rabbat","orcid":"https://orcid.org/0000-0003-0536-7904"},"institutions":[{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michael Rabbat","raw_affiliation_strings":["Telecom Bretagne UMR CNRS Lab-STICC","Department of Electrical and Computer Engineering [Montr\u00e9al]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecom Bretagne UMR CNRS Lab-STICC","institution_ids":["https://openalex.org/I4210123702","https://openalex.org/I205703379"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering [Montr\u00e9al]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0155,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91016493,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"abs 1411 7443","issue":null,"first_page":"1496","last_page":"1500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9891999959945679,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5167195200920105},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.47904956340789795},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46139761805534363},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41811931133270264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35419178009033203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32228952646255493}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5167195200920105},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.47904956340789795},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46139761805534363},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41811931133270264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35419178009033203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32228952646255493}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/eusipco.2015.7362633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01270655v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01270655","pdf_url":null,"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":"EUSIPCO 2015 : 23rd European Signal Processing Conference, Aug 2015, Nice, France. pp.1496 - 1500, ⟨10.1109/EUSIPCO.2015.7362633⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01270655v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01270655","pdf_url":null,"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":"EUSIPCO 2015 : 23rd European Signal Processing Conference, Aug 2015, Nice, France. pp.1496 - 1500, ⟨10.1109/EUSIPCO.2015.7362633⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1534215959","https://openalex.org/W1578099820","https://openalex.org/W1993963192","https://openalex.org/W2004559848","https://openalex.org/W2015064056","https://openalex.org/W2016423476","https://openalex.org/W2021351857","https://openalex.org/W2068057575","https://openalex.org/W2101491865","https://openalex.org/W2111160863","https://openalex.org/W2158787690","https://openalex.org/W4247782380","https://openalex.org/W4300699383","https://openalex.org/W6632104354","https://openalex.org/W6651697026","https://openalex.org/W6676632070"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0],"uncertainty":[1,41,144],"principle":[2,42,51],"states":[3,52],"that":[4,38,53,80,118,134],"a":[5,39,54,81,101],"signal":[6,55],"cannot":[7,56],"be":[8,57],"localized":[9,59],"both":[10,60],"in":[11,61,136],"time":[12],"and":[13,33,63,142],"frequency.":[14],"With":[15],"the":[16,95,104,128,131],"aim":[17,70],"of":[18,31,47,84,94,103,115,130,148],"extending":[19],"this":[20,67,109,137],"result":[21],"to":[22,71,75,88],"signals":[23],"on":[24,120],"graphs,":[25],"Agaskar":[26],"&":[27],"Lu":[28],"introduce":[29],"notions":[30],"graph":[32,40,62,96,105,116],"spectral":[34,64],"spreads.":[35],"They":[36],"show":[37,79],"holds":[43],"for":[44,146],"some":[45],"families":[46,147],"unweighted":[48],"graphs.":[49,77,150],"This":[50],"simultaneously":[58],"domains.":[65],"In":[66],"paper,":[68],"we":[69,111,140],"extend":[72],"their":[73,85],"work":[74],"weighted":[76,149],"We":[78,125],"naive":[82],"extension":[83],"definitions":[86],"leads":[87],"inconsistent":[89],"results":[90],"such":[91],"as":[92,100],"discontinuity":[93],"spread":[97,117],"when":[98],"regarded":[99],"function":[102,133],"structure.":[106],"To":[107],"circumvent":[108],"problem,":[110],"propose":[112],"another":[113],"definition":[114],"relies":[119],"an":[121],"inverse":[122],"similarity":[123],"matrix.":[124],"also":[126],"discuss":[127],"choice":[129],"distance":[132],"appears":[135],"definition.":[138],"Finally,":[139],"compute":[141],"plot":[143],"curves":[145]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}