{"id":"https://openalex.org/W2905915262","doi":"https://doi.org/10.1109/lsp.2018.2889267","title":"A Regularization Framework for Learning Over Multitask Graphs","display_name":"A Regularization Framework for Learning Over Multitask Graphs","publication_year":2018,"publication_date":"2018-12-24","ids":{"openalex":"https://openalex.org/W2905915262","doi":"https://doi.org/10.1109/lsp.2018.2889267","mag":"2905915262"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2018.2889267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2018.2889267","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":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-03634069","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015999129","display_name":"Roula Nassif","orcid":"https://orcid.org/0000-0001-9663-8559"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Roula Nassif","raw_affiliation_strings":["Institute of Electrical Engineering, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland  - Switzerland)"],"raw_orcid":"https://orcid.org/0000-0001-9663-8559","affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland  - Switzerland)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083805703","display_name":"Stefan Vlaski","orcid":"https://orcid.org/0000-0002-0616-3076"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Stefan Vlaski","raw_affiliation_strings":["Institute of Electrical Engineering, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland  - Switzerland)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland  - Switzerland)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009808175","display_name":"C\u00e9dric Richard","orcid":"https://orcid.org/0000-0003-2890-141X"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210113427","display_name":"Lagrange Laboratory","ror":"https://ror.org/02fdv8735","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I201841394","https://openalex.org/I4210113427","https://openalex.org/I4210126779","https://openalex.org/I4210148025"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cedric Richard","raw_affiliation_strings":["Universit\u00e9 de Nice Sophia-Antipolis, Nice, France","LAGRANGE - Joseph Louis LAGRANGE (Boulevard de l'Observatoire B.P. 4229 06304 Nice Cedex 04 - France - France)"],"raw_orcid":"https://orcid.org/0000-0003-2890-141X","affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Nice Sophia-Antipolis, Nice, France","institution_ids":["https://openalex.org/I201841394"]},{"raw_affiliation_string":"LAGRANGE - Joseph Louis LAGRANGE (Boulevard de l'Observatoire B.P. 4229 06304 Nice Cedex 04 - France - France)","institution_ids":["https://openalex.org/I4210113427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091103447","display_name":"Ali H. Sayed","orcid":"https://orcid.org/0000-0002-5125-5519"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ali H. Sayed","raw_affiliation_strings":["Institute of Electrical Engineering, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland  - Switzerland)"],"raw_orcid":"https://orcid.org/0000-0002-5125-5519","affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland  - Switzerland)","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9863,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.92941516,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"2","first_page":"297","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9926000237464905,"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":0.9926000237464905,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.978600025177002,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7308179140090942},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6706975698471069},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6609426140785217},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5352782607078552},{"id":"https://openalex.org/keywords/proximal-gradient-methods-for-learning","display_name":"Proximal gradient methods for learning","score":0.48540744185447693},{"id":"https://openalex.org/keywords/multi-task-learning","display_name":"Multi-task learning","score":0.47694411873817444},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45628106594085693},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41862356662750244},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40000665187835693},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3696752190589905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22163847088813782},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.17513883113861084},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.13612708449363708},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.09865391254425049}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7308179140090942},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6706975698471069},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6609426140785217},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5352782607078552},{"id":"https://openalex.org/C79248915","wikidata":"https://www.wikidata.org/wiki/Q17086776","display_name":"Proximal gradient methods for learning","level":5,"score":0.48540744185447693},{"id":"https://openalex.org/C28006648","wikidata":"https://www.wikidata.org/wiki/Q6934509","display_name":"Multi-task learning","level":3,"score":0.47694411873817444},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45628106594085693},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41862356662750244},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40000665187835693},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3696752190589905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22163847088813782},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.17513883113861084},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.13612708449363708},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.09865391254425049},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/lsp.2018.2889267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2018.2889267","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"},{"id":"pmh:oai:HAL:hal-03634069v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03634069","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":"ISSN: 1070-9908","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03634201v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03634201","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":"IEEE Signal Processing Letters, 2019, 26 (2), pp.297-301. &#x27E8;10.1109/LSP.2018.2889267&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03634452v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03634452","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1070-9908","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:263690","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/263690","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03634069v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03634069","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":"ISSN: 1070-9908","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2113015678","display_name":"3IA C\u00f4te d'Azur","funder_award_id":"ANR-19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G629012746","display_name":null,"funder_award_id":"CCF-1524250","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7302324134","display_name":"Distributed adaptation and learning over graph signals","funder_award_id":"ANR-19-CE48-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W14071851","https://openalex.org/W1483804921","https://openalex.org/W1486280163","https://openalex.org/W1698699930","https://openalex.org/W1774304772","https://openalex.org/W1937201840","https://openalex.org/W1968191600","https://openalex.org/W2012445782","https://openalex.org/W2018095698","https://openalex.org/W2042664989","https://openalex.org/W2044212084","https://openalex.org/W2059998776","https://openalex.org/W2086502731","https://openalex.org/W2093737596","https://openalex.org/W2095414057","https://openalex.org/W2101491865","https://openalex.org/W2108728313","https://openalex.org/W2120286056","https://openalex.org/W2126574516","https://openalex.org/W2129906637","https://openalex.org/W2140408177","https://openalex.org/W2144616873","https://openalex.org/W2166935429","https://openalex.org/W2169818402","https://openalex.org/W2295500362","https://openalex.org/W2343790552","https://openalex.org/W2404087539","https://openalex.org/W2592211823","https://openalex.org/W2808733326","https://openalex.org/W2962907301","https://openalex.org/W2963738599","https://openalex.org/W2964067433","https://openalex.org/W3103253084","https://openalex.org/W3104550706","https://openalex.org/W3105622694","https://openalex.org/W4205987271","https://openalex.org/W4238850922","https://openalex.org/W6600552058","https://openalex.org/W6680914561"],"related_works":["https://openalex.org/W2081588180","https://openalex.org/W2080188834","https://openalex.org/W1943431218","https://openalex.org/W1481686068","https://openalex.org/W2155823647","https://openalex.org/W2258635466","https://openalex.org/W51219890","https://openalex.org/W825274868","https://openalex.org/W2143277858","https://openalex.org/W4291237592"],"abstract_inverted_index":{"This":[0,89],"letter":[1,90],"proposes":[2],"a":[3,18,31,101,108],"general":[4],"regularization":[5,84,103],"framework":[6,104],"for":[7,112],"inference":[8,53],"over":[9,115],"multitask":[10,116],"networks.":[11,117],"The":[12],"optimization":[13],"approach":[14],"relies":[15],"on":[16],"minimizing":[17],"global":[19,37],"cost":[20],"consisting":[21],"of":[22,26,51,69,82],"the":[23,40,44,49,52,79,83],"aggregate":[24],"sum":[25],"individual":[27,45],"costs":[28],"regularized":[29],"by":[30],"term":[32],"that":[33],"allows":[34],"to":[35,60,93,105],"incorporate":[36],"information":[38],"about":[39],"graph":[41,98,109],"structure":[42],"and":[43,63,75,100],"parameter":[46],"vectors":[47],"into":[48],"solution":[50],"problem.":[54],"An":[55],"adaptive":[56],"strategy,":[57],"which":[58],"responds":[59],"streaming":[61],"data":[62],"employs":[64],"stochastic":[65],"approximations":[66],"in":[67,107],"place":[68],"actual":[70],"gradient":[71],"vectors,":[72],"is":[73],"devised":[74],"studied.":[76],"Methods":[77],"allowing":[78],"distributed":[80,113],"implementation":[81],"step":[85],"are":[86],"also":[87],"discussed.":[88],"shows":[91],"how":[92],"blend":[94],"real-time":[95],"adaptation":[96],"with":[97],"filtering":[99],"generalized":[102],"result":[106],"diffusion":[110],"strategy":[111],"learning":[114]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
