{"id":"https://openalex.org/W4226124542","doi":"https://doi.org/10.1109/tsipn.2022.3156886","title":"Reconstruction of Time-Varying Graph Signals via Sobolev Smoothness","display_name":"Reconstruction of Time-Varying Graph Signals via Sobolev Smoothness","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226124542","doi":"https://doi.org/10.1109/tsipn.2022.3156886"},"language":"en","primary_location":{"id":"doi:10.1109/tsipn.2022.3156886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3156886","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"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 and Information Processing over Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2207.06439","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058395859","display_name":"Jhony H. Giraldo","orcid":"https://orcid.org/0000-0002-0039-1270"},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jhony H. Giraldo","raw_affiliation_strings":["Laboratoire Mathématiques, Image et Applications, La Rochelle Université, La Rochelle, France"],"raw_orcid":"https://orcid.org/0000-0002-0039-1270","affiliations":[{"raw_affiliation_string":"Laboratoire Mathématiques, Image et Applications, La Rochelle Université, La Rochelle, France","institution_ids":["https://openalex.org/I78744979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061017734","display_name":"Arif Mahmood","orcid":"https://orcid.org/0000-0001-5986-9876"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]},{"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","PK"],"is_corresponding":false,"raw_author_name":"Arif Mahmood","raw_affiliation_strings":["Department of Computer Science, Information Technology University, Lahore, Pakistan","Department of Computer Science, Information Technology University, 48730 Lahore, Pakistan","Center for Intelligent Systems, EPFL, 1015 Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-5986-9876","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Information Technology University, Lahore, Pakistan","institution_ids":["https://openalex.org/I1323252656"]},{"raw_affiliation_string":"Department of Computer Science, Information Technology University, 48730 Lahore, Pakistan","institution_ids":["https://openalex.org/I1323252656"]},{"raw_affiliation_string":"Center for Intelligent Systems, EPFL, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023398853","display_name":"Belmar Garc\u00eda-Garc\u00eda","orcid":null},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Belmar Garcia-Garcia","raw_affiliation_strings":["Laboratoire Mathématiques, Image et Applications, La Rochelle Université, La Rochelle, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Mathématiques, Image et Applications, La Rochelle Université, La Rochelle, France","institution_ids":["https://openalex.org/I78744979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072466998","display_name":"Dorina Thanou","orcid":"https://orcid.org/0000-0003-2319-4832"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]},{"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","PK"],"is_corresponding":false,"raw_author_name":"Dorina Thanou","raw_affiliation_strings":["Center for Intelligent Systems, EPFL, Lausanne, Switzerland","Center for Intelligent Systems, EPFL, 1015 Lausanne, Switzerland","Department of Computer Science, Information Technology University, 48730 Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-2319-4832","affiliations":[{"raw_affiliation_string":"Center for Intelligent Systems, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Center for Intelligent Systems, EPFL, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Department of Computer Science, Information Technology University, 48730 Lahore, Pakistan","institution_ids":["https://openalex.org/I1323252656"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046143134","display_name":"Thierry Bouwmans","orcid":"https://orcid.org/0000-0003-4018-8856"},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Bouwmans","raw_affiliation_strings":["Laboratoire Mathématiques, Image et Applications, La Rochelle Université, La Rochelle, France"],"raw_orcid":"https://orcid.org/0000-0003-4018-8856","affiliations":[{"raw_affiliation_string":"Laboratoire Mathématiques, Image et Applications, La Rochelle Université, La Rochelle, France","institution_ids":["https://openalex.org/I78744979"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058395859"],"corresponding_institution_ids":["https://openalex.org/I78744979"],"apc_list":null,"apc_paid":null,"fwci":7.214,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.97482171,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"8","issue":null,"first_page":"201","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9876999855041504,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.98089998960495,"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/hessian-matrix","display_name":"Hessian matrix","score":0.6439317464828491},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.6048915386199951},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5507645010948181},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.5112955570220947},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4986684322357178},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.494081050157547},{"id":"https://openalex.org/keywords/graph-traversal","display_name":"Graph traversal","score":0.457586407661438},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.43845081329345703},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.42579060792922974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3254240155220032},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32056450843811035},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.18981480598449707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.16951629519462585}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6439317464828491},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.6048915386199951},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5507645010948181},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.5112955570220947},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4986684322357178},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.494081050157547},{"id":"https://openalex.org/C96333769","wikidata":"https://www.wikidata.org/wiki/Q907955","display_name":"Graph traversal","level":3,"score":0.457586407661438},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.43845081329345703},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.42579060792922974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3254240155220032},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32056450843811035},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.18981480598449707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16951629519462585},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsipn.2022.3156886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3156886","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"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 and Information Processing over Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2207.06439","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.06439","pdf_url":"https://arxiv.org/pdf/2207.06439","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-03603599v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03603599","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 Transactions on Signal and Information Processing over Networks, 2022, 8, pp.201-214. ⟨10.1109/TSIPN.2022.3156886⟩","raw_type":"Journal articles"},{"id":"pmh:oai:infoscience.epfl.ch:293564","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/293564","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:arXiv.org:2207.06439","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.06439","pdf_url":"https://arxiv.org/pdf/2207.06439","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.8100000023841858,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W36820714","https://openalex.org/W1486991309","https://openalex.org/W1491300635","https://openalex.org/W1498318113","https://openalex.org/W1540550726","https://openalex.org/W1986678681","https://openalex.org/W1990488619","https://openalex.org/W1991252559","https://openalex.org/W2014368295","https://openalex.org/W2019669853","https://openalex.org/W2024457004","https://openalex.org/W2028479713","https://openalex.org/W2030319053","https://openalex.org/W2074128440","https://openalex.org/W2095414057","https://openalex.org/W2101491865","https://openalex.org/W2115789358","https://openalex.org/W2120092158","https://openalex.org/W2161728228","https://openalex.org/W2161763921","https://openalex.org/W2179147795","https://openalex.org/W2182708456","https://openalex.org/W2195972617","https://openalex.org/W2215668387","https://openalex.org/W2235146554","https://openalex.org/W2404087539","https://openalex.org/W2473995246","https://openalex.org/W2558748708","https://openalex.org/W2620264943","https://openalex.org/W2734408317","https://openalex.org/W2776807095","https://openalex.org/W2781888589","https://openalex.org/W2796431263","https://openalex.org/W2797386627","https://openalex.org/W2949991997","https://openalex.org/W2962752727","https://openalex.org/W2962817598","https://openalex.org/W2963238402","https://openalex.org/W2963384510","https://openalex.org/W2963482381","https://openalex.org/W2963521934","https://openalex.org/W2963728452","https://openalex.org/W2963871148","https://openalex.org/W2964105372","https://openalex.org/W2969273637","https://openalex.org/W2969543297","https://openalex.org/W3000377637","https://openalex.org/W3008443627","https://openalex.org/W3023414632","https://openalex.org/W3046435230","https://openalex.org/W3081079206","https://openalex.org/W3093755362","https://openalex.org/W3097176524","https://openalex.org/W3098927376","https://openalex.org/W3100282875","https://openalex.org/W3102208898","https://openalex.org/W3105775869","https://openalex.org/W3109710535","https://openalex.org/W3111983220","https://openalex.org/W3162834782","https://openalex.org/W3192317713","https://openalex.org/W4229706427","https://openalex.org/W6601505021","https://openalex.org/W6678383644","https://openalex.org/W6689213722","https://openalex.org/W6720006811","https://openalex.org/W6726873649"],"related_works":["https://openalex.org/W2963002212","https://openalex.org/W4205812024","https://openalex.org/W4293871700","https://openalex.org/W4295105863","https://openalex.org/W1533309322","https://openalex.org/W1828315746","https://openalex.org/W4300950998","https://openalex.org/W2030274157","https://openalex.org/W2557541666","https://openalex.org/W3105737664"],"abstract_inverted_index":{"Graph":[0,128],"Signal":[1],"Processing":[2],"(GSP)":[3],"is":[4,177],"an":[5],"emerging":[6],"research":[7],"field":[8],"that":[9,82,160],"extends":[10],"the":[11,59,62,77,83,99,107,122,138,142,152,210],"concepts":[12],"of":[13,39,61,65,86,101,109,121,125,141,154,212],"digital":[14],"signal":[15,129,197],"processing":[16],"to":[17],"graphs.":[18],"GSP":[19],"has":[20,151,188,200],"numerous":[21],"applications":[22],"in":[23,48],"different":[24],"areas":[25],"such":[26,66],"as":[27,72],"sensor":[28],"networks,":[29],"machine":[30],"learning,":[31],"and":[32,37,58,91,186,215],"image":[33],"processing.":[34],"The":[35,174],"sampling":[36],"reconstruction":[38,108],"static":[40],"graph":[41,53,67,87,111,196],"signals":[42,54,68,88,112],"have":[43],"played":[44],"a":[45,73,94,102],"central":[46],"role":[47],"GSP.":[49],"However,":[50],"many":[51,190],"real-world":[52],"are":[55,89,161],"inherently":[56],"time-varying":[57,110,195],"smoothness":[60,104],"temporal":[63,84],"differences":[64,85],"may":[69],"be":[70],"used":[71],"prior":[74],"assumption.":[75],"In":[76],"current":[78],"work,":[79],"we":[80,92],"assume":[81],"smooth,":[90],"introduce":[93],"novel":[95],"algorithm":[96,135,150],"based":[97,162],"on":[98,163,179,205],"extension":[100],"Sobolev":[103,132],"function":[105],"for":[106,194,209],"from":[113],"discrete":[114],"samples.":[115],"We":[116],"explore":[117],"some":[118],"theoretical":[119],"aspects":[120],"convergence":[123],"rate":[124],"our":[126,146],"Time-varying":[127],"Reconstruction":[130],"via":[131],"Smoothness":[133],"(GraphTRSS)":[134],"by":[136],"studying":[137],"condition":[139],"number":[140],"Hessian":[143],"associated":[144],"with":[145],"optimization":[147],"problem.":[148],"Our":[149],"advantage":[153],"converging":[155],"faster":[156],"than":[157],"other":[158],"methods":[159,193],"Laplacian":[164],"operators":[165],"without":[166],"requiring":[167],"expensive":[168],"eigenvalue":[169],"decomposition":[170],"or":[171],"matrix":[172],"inversions.":[173],"proposed":[175],"GraphTRSS":[176,199],"evaluated":[178],"several":[180],"datasets":[181,185,208],"including":[182],"two":[183,206],"COVID-19":[184],"it":[187],"outperformed":[189],"existing":[191],"state-of-the-art":[192],"reconstruction.":[198],"also":[201],"shown":[202],"excellent":[203],"performance":[204],"environmental":[207],"recovery":[211],"particulate":[213],"matter":[214],"sea":[216],"surface":[217],"temperature":[218],"signals.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}