{"id":"https://openalex.org/W3161082783","doi":"https://doi.org/10.1109/icassp39728.2021.9414693","title":"Learning Sparse Graph Laplacian with K Eigenvector Prior via Iterative Glasso and Projection","display_name":"Learning Sparse Graph Laplacian with K Eigenvector Prior via Iterative Glasso and Projection","publication_year":2021,"publication_date":"2021-05-13","ids":{"openalex":"https://openalex.org/W3161082783","doi":"https://doi.org/10.1109/icassp39728.2021.9414693","mag":"3161082783"},"language":"en","primary_location":{"id":"doi:10.1109/icassp39728.2021.9414693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp39728.2021.9414693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5063893941","display_name":"Saghar Bagheri","orcid":"https://orcid.org/0009-0006-4619-7365"},"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":"Saghar Bagheri","raw_affiliation_strings":["York University, Toronto, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"York University, Toronto, Canada","institution_ids":["https://openalex.org/I192455969"]}]},{"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":["York University, Toronto, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"York University, Toronto, Canada","institution_ids":["https://openalex.org/I192455969"]}]},{"author_position":"middle","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":["University of Southern California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101848669","display_name":"Fen Wang","orcid":"https://orcid.org/0000-0002-9109-4086"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fen Wang","raw_affiliation_strings":["Xidian University, Xi\u2019an","Xidian University, Xi'an"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xidian University, Xi\u2019an","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Xidian University, Xi'an","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4396,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59780242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":null,"first_page":"5365","last_page":"5369"},"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":0.9948999881744385,"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":0.9758999943733215,"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/laplacian-matrix","display_name":"Laplacian matrix","score":0.6996437311172485},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6016674041748047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5735827684402466},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5733427405357361},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.5135014653205872},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4976551830768585},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.49605831503868103},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4599896967411041},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.45386648178100586},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.44377368688583374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3815494179725647},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09666910767555237}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.6996437311172485},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6016674041748047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5735827684402466},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5733427405357361},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.5135014653205872},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4976551830768585},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.49605831503868103},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4599896967411041},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.45386648178100586},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.44377368688583374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3815494179725647},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09666910767555237},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp39728.2021.9414693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp39728.2021.9414693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W371407676","https://openalex.org/W658512522","https://openalex.org/W1486991309","https://openalex.org/W1980811840","https://openalex.org/W1989727964","https://openalex.org/W2000769684","https://openalex.org/W2051142108","https://openalex.org/W2082119873","https://openalex.org/W2105760337","https://openalex.org/W2126841255","https://openalex.org/W2132555912","https://openalex.org/W2296319761","https://openalex.org/W2615556757","https://openalex.org/W2788790154","https://openalex.org/W2796431263","https://openalex.org/W2963557697","https://openalex.org/W2964012239","https://openalex.org/W2964228184","https://openalex.org/W2964292630","https://openalex.org/W2991388718","https://openalex.org/W3003775208","https://openalex.org/W3018660603","https://openalex.org/W3106135392","https://openalex.org/W4214926737","https://openalex.org/W4230938240","https://openalex.org/W4244393449","https://openalex.org/W4250589301","https://openalex.org/W4312512934","https://openalex.org/W6629191999"],"related_works":["https://openalex.org/W2597594164","https://openalex.org/W4205812024","https://openalex.org/W3046200067","https://openalex.org/W80320255","https://openalex.org/W2475700395","https://openalex.org/W3011949883","https://openalex.org/W2030274157","https://openalex.org/W4206635743","https://openalex.org/W2402951419","https://openalex.org/W2051180862"],"abstract_inverted_index":{"Learning":[0],"a":[1,139,144,154,209,219],"suitable":[2,185],"graph":[3,10,17,23,31,34,69,186,215,222],"is":[4,99,106,143],"an":[5,51,64,150,173],"important":[6],"precursor":[7],"to":[8,108,152,161,181],"many":[9],"signal":[11,18],"processing":[12],"(GSP)":[13],"pipelines,":[14],"such":[15,42],"as":[16,43,60,208],"compression":[19],"and":[20,86],"denoising.":[21],"Previous":[22],"learning":[24,216],"algorithms":[25],"either":[26],"i)":[27],"make":[28,38],"assumptions":[29,41],"on":[30,67,83],"connectivity":[32],"(e.g.,":[33],"sparsity),":[35],"or":[36],"ii)":[37],"edge":[39],"weight":[40],"positive":[44,127,156],"edges":[45],"only.":[46],"In":[47],"this":[48],"paper,":[49],"given":[50,155,196,203],"empirical":[52],"covariance":[53],"matrix":[54,71,159,188],"${\\mathbf{\\bar":[55,197],"C}}$":[56],"computed":[57],"from":[58,93],"data":[59],"input,":[61],"we":[62,171],"consider":[63],"eigen-structural":[65],"assumption":[66],"the":[68,73,87,103,120,132,167,183,204],"Laplacian":[70,187],"L:":[72],"first":[74,104,117,133,205],"K":[75,134,206],"eigenvectors":[76,89,135,207],"of":[77,112,125,221],"L":[78,160],"are":[79,90],"pre-selected,":[80],"e.g.,":[81],"based":[82],"domain-specific":[84],"criteria,":[85],"remaining":[88],"then":[91,148],"learned":[92],"data.":[94,115],"One":[95],"example":[96],"use":[97],"case":[98],"image":[100],"coding,":[101],"where":[102],"eigenvector":[105],"pre-chosen":[107],"be":[109],"constant,":[110],"regardless":[111],"available":[113],"observed":[114],"We":[116,147],"prove":[118],"that":[119,202],"subspace":[121],"$\\mathcal{H}_{\\mathbf{u}}^":[122,162],"+":[123,163,194],"$":[124,195],"symmetric":[126],"semi-definite":[128],"(PSD)":[129],"matrices":[130],"with":[131],"being":[136],"{uk}":[137],"in":[138],"defined":[140],"Hilbert":[141],"space":[142],"convex":[145],"cone.":[146],"construct":[149],"operator":[151],"project":[153],"definite":[157],"(PD)":[158],"$,":[164],"inspired":[165],"by":[166],"Gram-Schmidt":[168],"procedure.":[169],"Finally,":[170],"design":[172],"efficient":[174],"hybrid":[175],"graphical":[176],"lasso":[177],"/":[178],"projection":[179],"algorithm":[180,212],"compute":[182],"most":[184],"${{\\mathbf{L}}^":[189],"*":[190],"}":[191],"\\in":[192],"\\mathcal{H}_{\\mathbf{u}}^":[193],"C}}$.":[198],"Experimental":[199],"results":[200],"show":[201],"prior,":[210],"our":[211],"outperforms":[213],"competing":[214],"schemes":[217],"using":[218],"variety":[220],"comparison":[223],"metrics.":[224]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}