{"id":"https://openalex.org/W4390576518","doi":"https://doi.org/10.1109/tsp.2023.3343560","title":"Manifold Graph Signal Restoration Using Gradient Graph Laplacian Regularizer","display_name":"Manifold Graph Signal Restoration Using Gradient Graph Laplacian Regularizer","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4390576518","doi":"https://doi.org/10.1109/tsp.2023.3343560"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3343560","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3343560","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100405386","display_name":"Fei Chen","orcid":"https://orcid.org/0000-0002-3676-6011"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fei Chen","raw_affiliation_strings":["College of Computer and Data Science, Fuzhou University, Fuzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computer and Data Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038897476","display_name":"Gene Cheung","orcid":"https://orcid.org/0000-0002-5571-4137"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Gene Cheung","raw_affiliation_strings":["Department of EECS, York University, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of EECS, York University, Toronto, ON, Canada","institution_ids":["https://openalex.org/I192455969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100445851","display_name":"Xue Zhang","orcid":"https://orcid.org/0000-0002-6579-7845"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Zhang","raw_affiliation_strings":["College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100405386"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":null,"apc_paid":null,"fwci":7.254,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.9740815,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"72","issue":null,"first_page":"744","last_page":"761"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9975000023841858,"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/T10241","display_name":"Functional Brain Connectivity Studies","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5885866284370422},{"id":"https://openalex.org/keywords/graph-bandwidth","display_name":"Graph bandwidth","score":0.5006880760192871},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.47109824419021606},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.4531860053539276},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.4476185142993927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4471304416656494},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.4336385428905487},{"id":"https://openalex.org/keywords/graph-energy","display_name":"Graph energy","score":0.4116392433643341},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40891513228416443},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.37560561299324036},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34794875979423523},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.29481518268585205}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5885866284370422},{"id":"https://openalex.org/C134727501","wikidata":"https://www.wikidata.org/wiki/Q5597073","display_name":"Graph bandwidth","level":5,"score":0.5006880760192871},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.47109824419021606},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.4531860053539276},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.4476185142993927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4471304416656494},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.4336385428905487},{"id":"https://openalex.org/C78913703","wikidata":"https://www.wikidata.org/wiki/Q5597087","display_name":"Graph energy","level":5,"score":0.4116392433643341},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40891513228416443},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.37560561299324036},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34794875979423523},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.29481518268585205}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2023.3343560","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3343560","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6100000143051147}],"awards":[{"id":"https://openalex.org/G2340449443","display_name":null,"funder_award_id":"61771141","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3062734792","display_name":null,"funder_award_id":"RGPIN-2019-06271","funder_id":"https://openalex.org/F4320321487","funder_display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3574434620","display_name":null,"funder_award_id":"RGPAS-2019-00110","funder_id":"https://openalex.org/F4320321487","funder_display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5181191199","display_name":null,"funder_award_id":"ZR2023QF014","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6435020827","display_name":null,"funder_award_id":"23-2-1-112-zyyd-jch","funder_id":"https://openalex.org/F4320328636","funder_display_name":"Natural Science Foundation of Qingdao"},{"id":"https://openalex.org/G758783085","display_name":null,"funder_award_id":"62302278","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8898314252","display_name":null,"funder_award_id":"2021J01620","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321487","display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320328636","display_name":"Natural Science Foundation of Qingdao","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W117710940","https://openalex.org/W162679562","https://openalex.org/W591087215","https://openalex.org/W1511572470","https://openalex.org/W1540550726","https://openalex.org/W1563644419","https://openalex.org/W1998419211","https://openalex.org/W1998991750","https://openalex.org/W2000594266","https://openalex.org/W2030161963","https://openalex.org/W2039939700","https://openalex.org/W2051142108","https://openalex.org/W2053186076","https://openalex.org/W2057317424","https://openalex.org/W2057652230","https://openalex.org/W2064616889","https://openalex.org/W2070433376","https://openalex.org/W2099244020","https://openalex.org/W2107940287","https://openalex.org/W2115613674","https://openalex.org/W2126922884","https://openalex.org/W2133665775","https://openalex.org/W2153663612","https://openalex.org/W2154851992","https://openalex.org/W2156718197","https://openalex.org/W2163097311","https://openalex.org/W2172275395","https://openalex.org/W2187517509","https://openalex.org/W2508691887","https://openalex.org/W2571662414","https://openalex.org/W2613155248","https://openalex.org/W2621679680","https://openalex.org/W2735867447","https://openalex.org/W2767843626","https://openalex.org/W2788790154","https://openalex.org/W2796431263","https://openalex.org/W2808771744","https://openalex.org/W2894310056","https://openalex.org/W2962756421","https://openalex.org/W2962978500","https://openalex.org/W2963299521","https://openalex.org/W2963518130","https://openalex.org/W2964228184","https://openalex.org/W2964292630","https://openalex.org/W2988447441","https://openalex.org/W2998313947","https://openalex.org/W2998456637","https://openalex.org/W3003775208","https://openalex.org/W3012002796","https://openalex.org/W3015632718","https://openalex.org/W3035130434","https://openalex.org/W3100267724","https://openalex.org/W3104097132","https://openalex.org/W3106135392","https://openalex.org/W3174966384","https://openalex.org/W3193381300","https://openalex.org/W3210619801","https://openalex.org/W4210727445","https://openalex.org/W4213367101","https://openalex.org/W4226317287","https://openalex.org/W4230938240","https://openalex.org/W4241652050","https://openalex.org/W4293795333","https://openalex.org/W4300793121","https://openalex.org/W4312258136","https://openalex.org/W4390576518","https://openalex.org/W6741103414","https://openalex.org/W6745687646"],"related_works":["https://openalex.org/W2165755074","https://openalex.org/W1547104907","https://openalex.org/W2782821035","https://openalex.org/W2389330739","https://openalex.org/W2276438615","https://openalex.org/W2608378520","https://openalex.org/W2549624392","https://openalex.org/W4254484011","https://openalex.org/W4318995835","https://openalex.org/W4293849741"],"abstract_inverted_index":{"In":[0,44],"the":[1,107,130,159,173],"graph":[2,7,35,63,79,102,117,146,183,189,197],"signal":[3,14,74,174,184,198],"processing":[4],"(GSP)":[5],"literature,":[6],"Laplacian":[8,64,124],"regularizer":[9,65],"(GLR)":[10],"was":[11],"used":[12],"for":[13,30,77,103,164],"restoration":[15,199],"to":[16,25,61,113,149],"promote":[17],"piecewise":[18,71],"smooth":[19],"/":[20,70],"constant":[21],"reconstruction":[22],"with":[23,81,126],"respect":[24],"an":[26,40],"underlying":[27],"graph.":[28],"However,":[29],"signals":[31,128],"slowly":[32],"varying":[33],"across":[34],"kernels,":[36],"GLR":[37,60,187],"suffers":[38],"from":[39],"undesirable":[41],"\u201cstaircase\u201d":[42],"effect.":[43],"this":[45],"paper,":[46],"focusing":[47],"on":[48,55],"manifold":[49,109,137],"graphs\u2014collections":[50],"of":[51,172,196],"uniform":[52],"discrete":[53],"samples":[54],"low-dimensional":[56],"continuous":[57],"manifolds\u2014we":[58],"generalize":[59],"gradient":[62,94,101],"(GGLR)":[66],"that":[67,179],"promotes":[68],"planar":[69,72,127],"(PWP)":[73],"reconstruction.":[75],"Specifically,":[76],"a":[78,93,100,114,120,145,194],"endowed":[80],"sampling":[82,108,141],"coordinates":[83,152],"(e.g.,":[84],"2D":[85],"images,":[86],"3D":[87],"point":[88],"clouds),":[89],"we":[90,98,143],"first":[91],"define":[92],"operator,":[95],"using":[96],"which":[97],"construct":[99],"nodes\u2019":[104],"gradients":[105],"in":[106,193],"space.":[110],"This":[111],"maps":[112],"gradient-induced":[115],"nodal":[116],"(GNG)":[118],"and":[119,170,188],"positive":[121],"semi-definite":[122],"(PSD)":[123],"matrix":[125],"as":[129],"<inline-formula":[131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[133],"notation=\"LaTeX\">$0$</tex-math></inline-formula>":[134],"frequencies.":[135],"For":[136],"graphs":[138],"without":[139],"explicit":[140],"coordinates,":[142],"propose":[144],"embedding":[147],"method":[148],"obtain":[150],"node":[151],"via":[153],"fast":[154],"eigenvector":[155],"computation.":[156],"We":[157],"derive":[158],"means-square-error":[160],"minimizing":[161],"weight":[162],"parameter":[163],"GGLR":[165,180],"efficiently,":[166],"trading":[167],"off":[168],"bias":[169],"variance":[171],"estimate.":[175],"Experimental":[176],"results":[177],"show":[178],"outperformed":[181],"previous":[182],"priors":[185],"like":[186],"total":[190],"variation":[191],"(GTV)":[192],"range":[195],"tasks.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}