{"id":"https://openalex.org/W3080446659","doi":"https://doi.org/10.1109/access.2020.3018446","title":"Generalized Nesterov Accelerated Conjugate Gradient Algorithm for a Compressively Sampled MR Imaging Reconstruction","display_name":"Generalized Nesterov Accelerated Conjugate Gradient Algorithm for a Compressively Sampled MR Imaging Reconstruction","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3080446659","doi":"https://doi.org/10.1109/access.2020.3018446","mag":"3080446659"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3018446","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3018446","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09174631.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09174631.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101446773","display_name":"Xiuhan Li","orcid":"https://orcid.org/0000-0002-8471-1138"},"institutions":[{"id":"https://openalex.org/I83519826","display_name":"Nanjing Medical University","ror":"https://ror.org/059gcgy73","country_code":"CN","type":"education","lineage":["https://openalex.org/I83519826"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiuhan Li","raw_affiliation_strings":["Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-8471-1138","affiliations":[{"raw_affiliation_string":"Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China","institution_ids":["https://openalex.org/I83519826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100371293","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0002-9702-6316"},"institutions":[{"id":"https://openalex.org/I83519826","display_name":"Nanjing Medical University","ror":"https://ror.org/059gcgy73","country_code":"CN","type":"education","lineage":["https://openalex.org/I83519826"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-9702-6316","affiliations":[{"raw_affiliation_string":"Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China","institution_ids":["https://openalex.org/I83519826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035734106","display_name":"Songsheng Zhu","orcid":"https://orcid.org/0000-0002-9963-9589"},"institutions":[{"id":"https://openalex.org/I83519826","display_name":"Nanjing Medical University","ror":"https://ror.org/059gcgy73","country_code":"CN","type":"education","lineage":["https://openalex.org/I83519826"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Songsheng Zhu","raw_affiliation_strings":["Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China","institution_ids":["https://openalex.org/I83519826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057441439","display_name":"Wentao Xiang","orcid":"https://orcid.org/0000-0002-6891-6088"},"institutions":[{"id":"https://openalex.org/I83519826","display_name":"Nanjing Medical University","ror":"https://ror.org/059gcgy73","country_code":"CN","type":"education","lineage":["https://openalex.org/I83519826"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wentao Xiang","raw_affiliation_strings":["Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China","institution_ids":["https://openalex.org/I83519826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100655838","display_name":"Xiaoling Wu","orcid":"https://orcid.org/0000-0001-5283-5008"},"institutions":[{"id":"https://openalex.org/I83519826","display_name":"Nanjing Medical University","ror":"https://ror.org/059gcgy73","country_code":"CN","type":"education","lineage":["https://openalex.org/I83519826"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoling Wu","raw_affiliation_strings":["Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Clinical Engineering, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, China","institution_ids":["https://openalex.org/I83519826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101446773"],"corresponding_institution_ids":["https://openalex.org/I83519826"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.4698,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68429881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"157130","last_page":"157139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8589872121810913},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.730984091758728},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.6434667110443115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5827104449272156},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.5461505651473999},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.48240840435028076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46683943271636963},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4545551538467407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4369235038757324},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42802608013153076},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3405419588088989},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25795090198516846},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.10223579406738281}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8589872121810913},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.730984091758728},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.6434667110443115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5827104449272156},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.5461505651473999},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.48240840435028076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46683943271636963},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4545551538467407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4369235038757324},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42802608013153076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3405419588088989},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25795090198516846},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.10223579406738281},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3018446","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3018446","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09174631.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:200e2b454a7444d8ac55d154a1ae8c8c","is_oa":true,"landing_page_url":"https://doaj.org/article/200e2b454a7444d8ac55d154a1ae8c8c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 157130-157139 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3018446","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3018446","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09174631.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5965262737","display_name":null,"funder_award_id":"2017YFB1303200","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6421818045","display_name":null,"funder_award_id":"NMUB2019029","funder_id":"https://openalex.org/F4320324291","funder_display_name":"Nanjing Medical University"}],"funders":[{"id":"https://openalex.org/F4320324291","display_name":"Nanjing Medical University","ror":"https://ror.org/059gcgy73"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3080446659.pdf","grobid_xml":"https://content.openalex.org/works/W3080446659.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1978621794","https://openalex.org/W1980558917","https://openalex.org/W1983793191","https://openalex.org/W1985968347","https://openalex.org/W1987540493","https://openalex.org/W2020659205","https://openalex.org/W2040334475","https://openalex.org/W2100556411","https://openalex.org/W2101675075","https://openalex.org/W2104712006","https://openalex.org/W2138545762","https://openalex.org/W2142058898","https://openalex.org/W2160536217","https://openalex.org/W2343789953","https://openalex.org/W2556996564","https://openalex.org/W2739720758","https://openalex.org/W2742853784","https://openalex.org/W2770039921","https://openalex.org/W2773881746","https://openalex.org/W2963866949","https://openalex.org/W2965583974","https://openalex.org/W2999516274","https://openalex.org/W3005368325","https://openalex.org/W3008618604","https://openalex.org/W4250955649","https://openalex.org/W6631190155"],"related_works":["https://openalex.org/W2098528027","https://openalex.org/W3197592642","https://openalex.org/W2625259661","https://openalex.org/W2388344948","https://openalex.org/W2069731254","https://openalex.org/W2005717169","https://openalex.org/W2393037300","https://openalex.org/W2356977358","https://openalex.org/W2045319544","https://openalex.org/W3159907817"],"abstract_inverted_index":{"To":[0],"accelerate":[1],"the":[2,12,41,74,94,102,106,114,122,129,134,137,155,192,206,211,222,239],"scanning":[3],"speed":[4,241],"of":[5,14,49,105,124,136,213],"magnetic":[6,15],"resonance":[7,16],"imaging":[8],"(MRI)":[9],"and":[10,58,132,147,181,195,200,215,246],"improve":[11,238],"quality":[13],"(MR)":[17],"image":[18],"reconstruction,":[19],"a":[20,53,78,98,110],"fast":[21],"MRI":[22],"technology":[23],"based":[24,84,167,176,184,242],"on":[25,85,141,168,177,185,243],"compressed":[26],"sensing":[27],"is":[28,71,90,117],"proposed.":[29,72,91],"Nesterov's":[30],"accelerated":[31,81,173],"gradient":[32,42,83,163,166,175,183],"descent":[33,43],"(NAG)":[34],"algorithm":[35,89,158],"uses":[36,52],"Nesterov":[37,68,80,172,244],"acceleration":[38,50,69,95,115,245],"to":[39,62,121,128],"optimize":[40],"(GD)":[44],"method.":[45],"However,":[46],"this":[47],"form":[48],"factor":[51,96,116],"fixed":[54],"iteration":[55,64,130],"curve":[56],"update":[57],"can":[59,225,236],"not":[60,119],"adapt":[61],"different":[63,150],"processes.":[65],"A":[66],"generalized":[67,79,99],"concept":[70],"Combining":[73],"total":[75,86,169,178],"variation":[76,87,170,179],"model,":[77],"conjugate":[82,162,165,174,182],"(GNACG_TV)":[88],"It":[92],"extends":[93],"in":[97,191,202],"manner,":[100],"introducing":[101],"Frobenius":[103],"norm":[104],"objective":[107],"function":[108],"as":[109],"parameter,":[111],"so":[112],"that":[113,154,221],"related":[118],"only":[120],"number":[123],"iterations":[125],"but":[126],"also":[127],"process":[131],"guarantees":[133],"convergence":[135,240],"iterative":[138],"process.":[139],"Experiments":[140],"three":[142],"MR":[143,229],"images":[144,230],"(abdomen,":[145],"head,":[146],"ankles)":[148],"at":[149],"sampling":[151],"ratios":[152],"show":[153],"proposed":[156,207,223],"GNACG_TV":[157,235],"compares":[159],"favorably":[160],"with":[161,210],"(CG),":[164],"(CG_TV),":[171],"(NACG_TV),":[180],"adaptive":[186],"moment":[187],"estimation":[188],"(ADAMCG)":[189],"algorithms":[190],"MSE,":[193],"PSNR":[194],"SSIM":[196],"exhibit":[197],"better":[198,226,248],"performance":[199,204],"robustness":[201],"denoising":[203],"for":[205],"algorithm.":[208],"Comparing":[209],"result":[212],"qualitative":[214],"quantitative":[216],"analysis,":[217],"it":[218],"was":[219],"concluded":[220],"method":[224],"reconstruct":[227],"under-sampled":[228],"than":[231],"other":[232],"4":[233],"methods.":[234],"further":[237],"get":[247],"reconstruction":[249],"performance.":[250]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}