{"id":"https://openalex.org/W4386322133","doi":"https://doi.org/10.1109/tsmc.2023.3304850","title":"Neurodynamic Algorithms With Finite/Fixed-Time Convergence for Sparse Optimization via \u2113<sub>1</sub> Regularization","display_name":"Neurodynamic Algorithms With Finite/Fixed-Time Convergence for Sparse Optimization via \u2113<sub>1</sub> Regularization","publication_year":2023,"publication_date":"2023-08-31","ids":{"openalex":"https://openalex.org/W4386322133","doi":"https://doi.org/10.1109/tsmc.2023.3304850"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2023.3304850","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3304850","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5081276827","display_name":"Hongsong Wen","orcid":"https://orcid.org/0009-0007-2599-5592"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongsong Wen","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0009-0007-2599-5592","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001504963","display_name":"Xing He","orcid":"https://orcid.org/0000-0001-8652-8479"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing He","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-8652-8479","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Department of Mathematics, Texas A&#x0026;M University at Qatar, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0001-9610-846X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&#x0026;M University at Qatar, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073958329","display_name":"Junzhi Yu","orcid":"https://orcid.org/0000-0002-6347-572X"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767778","display_name":"State Key Laboratory of Turbulence and Complex Systems","ror":"https://ror.org/04km98768","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junzhi Yu","raw_affiliation_strings":["Department of Advanced Manufacturing and Robotics, College of Engineering, State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, China","Nanchang Innovation Institute, Peking University, Nanchang, China"],"raw_orcid":"https://orcid.org/0000-0002-6347-572X","affiliations":[{"raw_affiliation_string":"Department of Advanced Manufacturing and Robotics, College of Engineering, State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]},{"raw_affiliation_string":"Nanchang Innovation Institute, Peking University, Nanchang, China","institution_ids":["https://openalex.org/I141649914","https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8361,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8345396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"54","issue":"1","first_page":"131","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9970999956130981,"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/convergence","display_name":"Convergence (economics)","score":0.6244474053382874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5897039175033569},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5603231191635132},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.4935115575790405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4924648702144623},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4751826822757721},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4284036457538605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37169551849365234},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16314169764518738},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.15341484546661377},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14365163445472717}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6244474053382874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5897039175033569},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5603231191635132},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.4935115575790405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4924648702144623},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4751826822757721},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4284036457538605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37169551849365234},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16314169764518738},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.15341484546661377},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14365163445472717},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2023.3304850","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3304850","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3361839962","display_name":null,"funder_award_id":"XDJK2020TY003","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6741639725","display_name":null,"funder_award_id":"62176218","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1988837728","https://openalex.org/W2015113370","https://openalex.org/W2015418199","https://openalex.org/W2028781966","https://openalex.org/W2034260606","https://openalex.org/W2050834445","https://openalex.org/W2074682976","https://openalex.org/W2093922090","https://openalex.org/W2098518655","https://openalex.org/W2105454037","https://openalex.org/W2109449402","https://openalex.org/W2109668884","https://openalex.org/W2123031198","https://openalex.org/W2127271355","https://openalex.org/W2145096794","https://openalex.org/W2200484514","https://openalex.org/W2284760372","https://openalex.org/W2488243001","https://openalex.org/W2536599074","https://openalex.org/W2559044135","https://openalex.org/W2752388197","https://openalex.org/W2895670123","https://openalex.org/W2934255510","https://openalex.org/W2936870882","https://openalex.org/W2962840228","https://openalex.org/W3022380717","https://openalex.org/W3032869534","https://openalex.org/W3035066789","https://openalex.org/W3043230038","https://openalex.org/W3133930664","https://openalex.org/W3155369100","https://openalex.org/W3173851218","https://openalex.org/W3174814448","https://openalex.org/W3191541698","https://openalex.org/W4285237054","https://openalex.org/W4285260440","https://openalex.org/W4285286114","https://openalex.org/W4285507549","https://openalex.org/W4293531176"],"related_works":["https://openalex.org/W1519056739","https://openalex.org/W2083587165","https://openalex.org/W4301946563","https://openalex.org/W2963956021","https://openalex.org/W2167630507","https://openalex.org/W2033753750","https://openalex.org/W2167853904","https://openalex.org/W2133984367","https://openalex.org/W1482616926","https://openalex.org/W3012358222"],"abstract_inverted_index":{"Sparse":[0],"optimization":[1],"problems":[2],"have":[3,29],"been":[4,30],"successfully":[5],"applied":[6],"to":[7,99,140,190,209],"a":[8],"wide":[9],"range":[10],"of":[11,26,61,116,154,168,193,200,214],"research":[12],"areas,":[13],"and":[14,17,24,73,88,105,122,158,175,183,203],"useful":[15],"insights":[16],"elegant":[18],"methods":[19],"for":[20,41,180],"proving":[21],"the":[22,47,59,62,81,114,117,126,141,152,165,169,176,181,194,211,215],"stability":[23,156,160],"convergence":[25,72,77,104,139,166,177,187],"neurodynamic":[27,39,119,171,217],"algorithms":[28,40,120,172],"yielded":[31],"in":[32,58],"previous":[33],"work.":[34],"This":[35],"article":[36],"develops":[37],"several":[38],"sparse":[42],"signal":[43,201],"recovery":[44,202,205],"by":[45],"solving":[46],"<inline-formula":[48],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[50],"<tex-math":[51],"notation=\"LaTeX\">$\\ell":[52],"_{1}$":[53],"</tex-math></inline-formula>":[54],"regularization":[55],"problem.":[56],"First,":[57],"framework":[60],"locally":[63],"competitive":[64],"algorithm":[65],"(LCA),":[66],"modified":[67,91],"LCA":[68,98],"(MLCA)":[69],"with":[70,75,97,102,107,185],"finite-time":[71,103,136,155],"MLCA":[74,182],"fixed-time":[76,108,138,159,186],"are":[78,123,173,188,206],"designed.":[79],"Then,":[80],"sliding-mode":[82],"control":[83],"(SMC)":[84],"technique":[85],"is":[86,95,111,144],"introduced":[87],"modified,":[89],"i.e.,":[90],"SMC":[92],"(MSMC),":[93],"which":[94],"combined":[96],"design":[100],"MSMC-LCA":[101,106,184],"convergence.":[109],"It":[110],"shown":[112,145,189],"that":[113],"solutions":[115],"proposed":[118,170,216],"exist":[121],"unique":[124],"under":[125],"observation":[127],"matrix":[128],"satisfying":[129],"restricted":[130],"isometry":[131],"property":[132],"(RIP)":[133],"condition,":[134],"while":[135],"or":[137],"optimal":[142],"points":[143],"via":[146],"Lyapunov-based":[147],"analysis.":[148],"In":[149],"addition,":[150],"combining":[151],"notions":[153],"(FTS)":[157],"(FxTS),":[161],"upper":[162],"bounds":[163],"on":[164],"time":[167],"given,":[174],"results":[178],"obtained":[179],"be":[191],"independent":[192],"initial":[195],"conditions.":[196],"Finally,":[197],"simulation":[198],"experiments":[199],"image":[204],"carried":[207],"out":[208],"demonstrate":[210],"superior":[212],"performance":[213],"algorithms.":[218]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}