{"id":"https://openalex.org/W4394862751","doi":"https://doi.org/10.1109/tnnls.2024.3382030","title":"DEs-Inspired Accelerated Unfolded Linearized ADMM Networks for Inverse Problems","display_name":"DEs-Inspired Accelerated Unfolded Linearized ADMM Networks for Inverse Problems","publication_year":2024,"publication_date":"2024-04-16","ids":{"openalex":"https://openalex.org/W4394862751","doi":"https://doi.org/10.1109/tnnls.2024.3382030","pmid":"https://pubmed.ncbi.nlm.nih.gov/38625778"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3382030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3382030","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5071704046","display_name":"Weixin An","orcid":"https://orcid.org/0000-0002-9466-2851"},"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":true,"raw_author_name":"Weixin An","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of the Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of the Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100405030","display_name":"Yuanyuan Liu","orcid":"https://orcid.org/0000-0001-8646-8533"},"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":"Yuanyuan Liu","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of the Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of the Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067858777","display_name":"Fanhua Shang","orcid":"https://orcid.org/0000-0002-1040-352X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanhua Shang","raw_affiliation_strings":["College of Intelligence and Computing, Tianjin University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"College of Intelligence and Computing, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100757725","display_name":"Hongying Liu","orcid":"https://orcid.org/0000-0002-8475-2749"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I5740404","display_name":"Tianjin Medical University","ror":"https://ror.org/02mh8wx89","country_code":"CN","type":"education","lineage":["https://openalex.org/I5740404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongying Liu","raw_affiliation_strings":["Medical College, Tianjin University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Medical College, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I5740404","https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050630882","display_name":"Licheng Jiao","orcid":"https://orcid.org/0000-0003-3354-9617"},"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":"Licheng Jiao","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of the Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of the Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071704046"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":0.2632,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47806482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"36","issue":"3","first_page":"5319","last_page":"5333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9984999895095825,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5928986072540283},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5911436676979065},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5675963163375854},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5351643562316895},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5020179748535156},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.45708322525024414},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4512849450111389},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4415864646434784},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4246056079864502},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.41625475883483887},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4160684645175934},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3974764943122864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38227295875549316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3713162839412689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3216395378112793},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23416218161582947},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08309638500213623}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5928986072540283},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5911436676979065},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5675963163375854},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5351643562316895},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5020179748535156},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.45708322525024414},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4512849450111389},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4415864646434784},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4246056079864502},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.41625475883483887},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4160684645175934},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3974764943122864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38227295875549316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3713162839412689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3216395378112793},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23416218161582947},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08309638500213623},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3382030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3382030","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:38625778","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38625778","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1741041753","display_name":null,"funder_award_id":"U22B2054","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6114599517","display_name":null,"funder_award_id":"62276182","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":96,"referenced_works":["https://openalex.org/W70394967","https://openalex.org/W613741184","https://openalex.org/W2006764749","https://openalex.org/W2062052599","https://openalex.org/W2073819585","https://openalex.org/W2076261573","https://openalex.org/W2092663520","https://openalex.org/W2104266187","https://openalex.org/W2108598243","https://openalex.org/W2109449402","https://openalex.org/W2114424556","https://openalex.org/W2121058967","https://openalex.org/W2121927366","https://openalex.org/W2133665775","https://openalex.org/W2144144709","https://openalex.org/W2164278908","https://openalex.org/W2194775991","https://openalex.org/W2273561594","https://openalex.org/W2277973662","https://openalex.org/W2339666411","https://openalex.org/W2739757502","https://openalex.org/W2751669091","https://openalex.org/W2784344583","https://openalex.org/W2793617906","https://openalex.org/W2797583228","https://openalex.org/W2798559986","https://openalex.org/W2902719825","https://openalex.org/W2951248065","https://openalex.org/W2951324584","https://openalex.org/W2962770929","https://openalex.org/W2963349467","https://openalex.org/W2963814976","https://openalex.org/W2980149757","https://openalex.org/W2981551308","https://openalex.org/W2998391154","https://openalex.org/W3009641018","https://openalex.org/W3034898276","https://openalex.org/W3035335410","https://openalex.org/W3087291587","https://openalex.org/W3098593035","https://openalex.org/W3103372211","https://openalex.org/W3108077252","https://openalex.org/W3117805820","https://openalex.org/W3127686677","https://openalex.org/W3131193104","https://openalex.org/W3133902371","https://openalex.org/W3134549723","https://openalex.org/W3137965023","https://openalex.org/W3165290021","https://openalex.org/W3170697543","https://openalex.org/W3175662981","https://openalex.org/W3188921881","https://openalex.org/W3190499751","https://openalex.org/W3200226038","https://openalex.org/W3204169305","https://openalex.org/W3207478510","https://openalex.org/W3210579285","https://openalex.org/W4210896693","https://openalex.org/W4210929197","https://openalex.org/W4213187536","https://openalex.org/W4220961705","https://openalex.org/W4224948589","https://openalex.org/W4287257988","https://openalex.org/W4287265721","https://openalex.org/W4304080401","https://openalex.org/W4323057797","https://openalex.org/W4324108770","https://openalex.org/W4364322808","https://openalex.org/W4379474367","https://openalex.org/W6675164516","https://openalex.org/W6703697878","https://openalex.org/W6714662255","https://openalex.org/W6726020465","https://openalex.org/W6727883105","https://openalex.org/W6729455701","https://openalex.org/W6739675538","https://openalex.org/W6750665317","https://openalex.org/W6752036517","https://openalex.org/W6754103055","https://openalex.org/W6757612955","https://openalex.org/W6760979436","https://openalex.org/W6762516089","https://openalex.org/W6762973898","https://openalex.org/W6771692809","https://openalex.org/W6774588626","https://openalex.org/W6784716185","https://openalex.org/W6791002663","https://openalex.org/W6792219651","https://openalex.org/W6809899171","https://openalex.org/W6811442617","https://openalex.org/W6839052650","https://openalex.org/W6840050919","https://openalex.org/W6844364769","https://openalex.org/W6847118160","https://openalex.org/W6850817948","https://openalex.org/W6852845811"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2793786119","https://openalex.org/W1507702947","https://openalex.org/W2022062253","https://openalex.org/W946352265"],"abstract_inverted_index":{"Many":[0],"research":[1],"works":[2],"have":[3],"shown":[4],"that":[5,218],"the":[6,23,31,68,74,95,108,124,165,172,201],"traditional":[7,32,50],"alternating":[8],"direction":[9],"multiplier":[10],"methods":[11],"(ADMMs)":[12],"can":[13,141],"be":[14,142],"better":[15,224],"understood":[16],"by":[17,85,94],"continuous-time":[18],"differential":[19],"equations":[20],"(DEs).":[21],"On":[22],"other":[24],"hand,":[25],"many":[26],"unfolded":[27,60,69,82,88,128,184],"algorithms":[28],"directly":[29],"inherit":[30],"iterations":[33],"to":[34,66,122,175],"build":[35],"deep":[36],"networks.":[37,83],"Although":[38],"they":[39],"achieve":[40],"superior":[41],"practical":[42],"performance":[43],"and":[44,78,92,186,198,204,206],"a":[45,54,100,118,177],"faster":[46],"convergence":[47],"rate":[48],"than":[49,225],"counterparts,":[51],"there":[52],"is":[53,171],"lack":[55],"of":[56,76,110,127,135,167],"clear":[57],"insight":[58],"into":[59],"network":[61],"structures.":[62],"Thus,":[63],"we":[64,98,112,130,157,192],"attempt":[65],"explore":[67,153,176],"linearized":[70],"ADMM":[71],"(LADMM)":[72],"from":[73],"perspective":[75],"DEs,":[77],"design":[79,99,131],"more":[80,102],"efficient":[81],"First,":[84],"proposing":[86],"an":[87,132,159],"Euler":[89,137],"LADMM":[90,105,138,162,221],"scheme":[91],"inspired":[93],"trapezoid":[96],"discretization,":[97],"new":[101],"accurate":[103],"Trapezoid":[104,161,220],"scheme.":[106,163],"For":[107],"convenience":[109],"implementation,":[111],"provide":[113],"its":[114],"explicit":[115],"version":[116],"via":[117],"prediction-correction":[119],"strategy.":[120],"Then,":[121],"expand":[123],"representation":[125,149,155],"space":[126],"networks,":[129],"accelerated":[133,160],"variant":[134],"our":[136,168,194,219],"scheme,":[139],"which":[140],"interpreted":[143],"as":[144,196],"second-order":[145],"DEs":[146],"with":[147,180,200,208],"stronger":[148],"capabilities.":[150],"To":[151,164],"fully":[152],"this":[154,170],"space,":[156],"designed":[158],"best":[166],"knowledge,":[169],"first":[173],"work":[174],"comprehensive":[178],"connection":[179],"theoretical":[181],"guarantees":[182],"between":[183],"ADMMs":[185],"first-":[187],"(second-)":[188],"order":[189],"DEs.":[190],"Finally,":[191],"instantiate":[193],"schemes":[195,222],"(A-)ELADMM":[197],"(A-)TLADMM":[199],"proximal":[202],"operators,":[203],"(A-)ELADMM-Net":[205],"(A-)TLADMM-Net":[207],"convolutional":[209],"neural":[210],"networks":[211],"(CNNs).":[212],"Extensive":[213],"inverse":[214],"problem":[215],"experiments":[216],"show":[217],"perform":[223],"well-known":[226],"methods.":[227]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}