{"id":"https://openalex.org/W4361981150","doi":"https://doi.org/10.1109/tsp.2023.3263675","title":"Graph Signal Processing Over a Probability Space of Shift Operators","display_name":"Graph Signal Processing Over a Probability Space of Shift Operators","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4361981150","doi":"https://doi.org/10.1109/tsp.2023.3263675"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3263675","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3263675","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://dr.ntu.edu.sg/bitstream/10356/166581/2/Signal_processing_with_a_distribution_of_graphs.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028258863","display_name":"Feng Ji","orcid":"https://orcid.org/0000-0003-3442-1471"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Feng Ji","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0003-3442-1471","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046850399","display_name":"Wee Peng Tay","orcid":"https://orcid.org/0000-0002-1543-195X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Wee Peng Tay","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-1543-195X","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040001106","display_name":"Antonio Ortega","orcid":"https://orcid.org/0000-0001-5403-0940"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antonio Ortega","raw_affiliation_strings":["Viterbi School of Engineering, University of Southern California, Los Angeles, CA, USA","Viterbi School of Engineering, University of Southern California, Los Angeles, CA, California"],"raw_orcid":"https://orcid.org/0000-0001-5403-0940","affiliations":[{"raw_affiliation_string":"Viterbi School of Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Viterbi School of Engineering, University of Southern California, Los Angeles, CA, California","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8553,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.9190524,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"71","issue":null,"first_page":"1159","last_page":"1174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.991100013256073,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9846000075340271,"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/algorithm","display_name":"Algorithm","score":0.4996790885925293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49695447087287903},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4674568772315979},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4607784152030945},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4486086368560791},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4453938603401184},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4301169514656067},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.42238014936447144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4132336378097534},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29779908061027527},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.17037087678909302},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11322793364524841},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09928828477859497}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4996790885925293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49695447087287903},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4674568772315979},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4607784152030945},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4486086368560791},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4453938603401184},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4301169514656067},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.42238014936447144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4132336378097534},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29779908061027527},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.17037087678909302},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11322793364524841},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09928828477859497},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2023.3263675","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3263675","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:dr.ntu.edu.sg:10356/166581","is_oa":true,"landing_page_url":"https://hdl.handle.net/10356/166581","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/166581/2/Signal_processing_with_a_distribution_of_graphs.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:dr.ntu.edu.sg:10356/166581","is_oa":true,"landing_page_url":"https://hdl.handle.net/10356/166581","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/166581/2/Signal_processing_with_a_distribution_of_graphs.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2019786296","display_name":null,"funder_award_id":"NSF CCF-2009032","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320325256","display_name":"Info-communications Media Development Authority","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4361981150.pdf"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W228380312","https://openalex.org/W649348608","https://openalex.org/W1581692152","https://openalex.org/W1594563152","https://openalex.org/W1690143098","https://openalex.org/W1966006953","https://openalex.org/W1985258161","https://openalex.org/W1988856158","https://openalex.org/W1990488619","https://openalex.org/W1991252559","https://openalex.org/W1998419211","https://openalex.org/W2023223364","https://openalex.org/W2100395640","https://openalex.org/W2101491865","https://openalex.org/W2111160863","https://openalex.org/W2111772797","https://openalex.org/W2115789358","https://openalex.org/W2118193919","https://openalex.org/W2127888717","https://openalex.org/W2134086356","https://openalex.org/W2161763921","https://openalex.org/W2164780392","https://openalex.org/W2195972617","https://openalex.org/W2215668387","https://openalex.org/W2307487336","https://openalex.org/W2537105955","https://openalex.org/W2595897327","https://openalex.org/W2615556757","https://openalex.org/W2743104969","https://openalex.org/W2781888589","https://openalex.org/W2794319422","https://openalex.org/W2796431263","https://openalex.org/W2895830204","https://openalex.org/W2949118732","https://openalex.org/W2963384510","https://openalex.org/W2963579559","https://openalex.org/W2964012239","https://openalex.org/W2964321699","https://openalex.org/W2966090590","https://openalex.org/W2970066309","https://openalex.org/W2991366507","https://openalex.org/W2994097903","https://openalex.org/W3004217407","https://openalex.org/W3035497236","https://openalex.org/W3095079835","https://openalex.org/W3100282875","https://openalex.org/W3142000089","https://openalex.org/W3195138969","https://openalex.org/W3195962189","https://openalex.org/W4226156682","https://openalex.org/W4233762729","https://openalex.org/W4246464108","https://openalex.org/W4285605745","https://openalex.org/W4288358578","https://openalex.org/W4384080282","https://openalex.org/W6720006811","https://openalex.org/W6758359583","https://openalex.org/W6767098714","https://openalex.org/W6840780610"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W62490179","https://openalex.org/W2954004777","https://openalex.org/W2951102138","https://openalex.org/W1568403290"],"abstract_inverted_index":{"Graph":[0],"signal":[1],"processing":[2],"(GSP)":[3],"uses":[4],"a":[5,10,52,64,73,77,111,146,150,155,176],"shift":[6,20,66,81,113,164],"operator":[7,21],"to":[8,25,63,166,172,175],"define":[9],"Fourier":[11,89],"basis":[12],"for":[13,55],"the":[14,27,34,85,102,106,125,135,184],"set":[15,54,178],"of":[16,80,88,110,127,137,149,163,179],"graph":[17,28,35,59],"signals.":[18],"The":[19],"is":[22,124],"often":[23],"chosen":[24],"capture":[26],"topology.":[29],"However,":[30],"in":[31,131],"many":[32],"applications,":[33],"topology":[36,60],"may":[37],"be":[38,173,187],"unknown":[39],"<italic":[40],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">a":[42],"priori</i>":[43],",":[44],"its":[45],"structure":[46],"uncertain,":[47],"or":[48],"generated":[49],"randomly":[50],"from":[51,143,160],"predefined":[53],"each":[56],"observation.":[57],"Each":[58],"gives":[61],"rise":[62],"different":[65],"operator.":[67,114],"In":[68],"this":[69,122],"paper,":[70],"we":[71],"develop":[72,84,154],"GSP":[74,99],"framework":[75,123,171],"over":[76],"probability":[78,107],"space":[79,108,162],"operators.":[82],"We":[83,115,153,181],"corresponding":[86],"notions":[87],"transform,":[90],"MFC":[91,119],"filters,":[92,95],"and":[93,193],"band-pass":[94,151],"which":[96,168],"subsumes":[97],"classical":[98,132],"theory":[100,185],"as":[101],"special":[103],"case":[104],"where":[105],"consists":[109],"single":[112],"show":[116],"that":[117,157],"an":[118],"filter":[120],"under":[121],"expectation":[126],"random":[128],"convolution":[129],"filters":[130],"GSP,":[133],"while":[134],"notion":[136],"bandlimitedness":[138],"requires":[139],"additional":[140],"wiggle":[141],"room":[142],"being":[144],"simply":[145],"fixed":[147],"point":[148],"filter.":[152],"mechanism":[156],"facilitates":[158],"mapping":[159],"one":[161],"operators":[165],"another,":[167],"allows":[169],"our":[170],"applied":[174,188],"rich":[177],"scenarios.":[180],"demonstrate":[182],"how":[183],"can":[186],"by":[189],"using":[190],"both":[191],"synthetic":[192],"real":[194],"datasets.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
