{"id":"https://openalex.org/W2688953010","doi":"https://doi.org/10.1109/icassp.2017.7952886","title":"Graph Fourier Transform for directed graphs based on Lov\u00e1sz extension of min-cut","display_name":"Graph Fourier Transform for directed graphs based on Lov\u00e1sz extension of min-cut","publication_year":2017,"publication_date":"2017-03-01","ids":{"openalex":"https://openalex.org/W2688953010","doi":"https://doi.org/10.1109/icassp.2017.7952886","mag":"2688953010"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2017.7952886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2017.7952886","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":"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/A5043691564","display_name":"Stefania Sardellitti","orcid":"https://orcid.org/0000-0002-4749-2933"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefania Sardellitti","raw_affiliation_strings":["Sapienza University of Rome, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Sapienza University of Rome, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084159640","display_name":"Sergio Barbarossa","orcid":"https://orcid.org/0000-0001-9846-8741"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sergio Barbarossa","raw_affiliation_strings":["Sapienza University of Rome, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Sapienza University of Rome, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000852147","display_name":"Paolo Di Lorenzo","orcid":"https://orcid.org/0000-0002-4130-3177"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Di Lorenzo","raw_affiliation_strings":["Dept. of Engineering, University of Perugia, Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Engineering, University of Perugia, Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043691564"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.07000195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3894","last_page":"3898"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9997000098228455,"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":0.9997000098228455,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6188398003578186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5606929063796997},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4570505917072296},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3617136776447296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.316006600856781},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10004076361656189}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6188398003578186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5606929063796997},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4570505917072296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3617136776447296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.316006600856781},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10004076361656189},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2017.7952886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2017.7952886","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"},{"id":"pmh:oai:iris.uniroma1.it:11573/1064874","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/1064874","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1498671329","https://openalex.org/W1698699930","https://openalex.org/W1817816559","https://openalex.org/W1967138577","https://openalex.org/W1987995897","https://openalex.org/W1991252559","https://openalex.org/W1995465677","https://openalex.org/W1998849268","https://openalex.org/W2024457004","https://openalex.org/W2027982384","https://openalex.org/W2047701894","https://openalex.org/W2101491865","https://openalex.org/W2103351706","https://openalex.org/W2118193919","https://openalex.org/W2215668387","https://openalex.org/W2259160646","https://openalex.org/W2305029917","https://openalex.org/W2480121964","https://openalex.org/W2617854063","https://openalex.org/W2952019053","https://openalex.org/W4238452917","https://openalex.org/W6638427845","https://openalex.org/W6657500373","https://openalex.org/W6692401441"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"A":[0],"key":[1],"tool":[2],"to":[3],"analyze":[4],"signals":[5],"defined":[6],"over":[7],"a":[8,67,90],"graph":[9,32,56,73],"is":[10],"the":[11,27,31,47,55,60,72,83,86],"so":[12],"called":[13],"Graph":[14],"Fourier":[15,57],"Transform":[16],"(GFT).":[17],"Alternative":[18],"definitions":[19],"of":[20,29,50,62,71,85],"GFT":[21],"have":[22],"been":[23],"proposed,":[24],"based":[25],"on":[26],"eigen-decomposition":[28],"either":[30],"Laplacian":[33],"or":[34],"adjacency":[35],"matrix.":[36],"In":[37],"this":[38],"paper,":[39],"we":[40,88],"introduce":[41],"an":[42],"alternative":[43],"approach,":[44],"valid":[45],"for":[46,95],"general":[48],"case":[49],"directed":[51],"graphs,":[52],"that":[53,65],"builds":[54],"basis":[58],"as":[59,77],"set":[61],"orthonormal":[63],"vectors":[64],"minimize":[66],"well-defined":[68],"continuous":[69],"extension":[70],"cut":[74],"size,":[75],"known":[76],"Lov\u00e1sz":[78],"extension.":[79],"To":[80],"cope":[81],"with":[82,99],"non-convexity":[84],"problem,":[87],"exploit":[89],"recently":[91],"developed":[92],"method":[93],"devised":[94],"handling":[96],"orthogonality":[97],"constraints,":[98],"provable":[100],"convergence":[101],"properties.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}