{"id":"https://openalex.org/W4321482210","doi":"https://doi.org/10.1109/tcsvt.2023.3247944","title":"An Iterative Threshold Algorithm of Log-Sum Regularization for Sparse Problem","display_name":"An Iterative Threshold Algorithm of Log-Sum Regularization for Sparse Problem","publication_year":2023,"publication_date":"2023-02-22","ids":{"openalex":"https://openalex.org/W4321482210","doi":"https://doi.org/10.1109/tcsvt.2023.3247944"},"language":"en","primary_location":{"id":"doi:10.1109/tcsvt.2023.3247944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2023.3247944","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","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/A5070179332","display_name":"Xin Zhou","orcid":"https://orcid.org/0000-0002-5675-4798"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xin Zhou","raw_affiliation_strings":["College of Information and Communication, National University of Defense Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"College of Information and Communication, National University of Defense Technology, Wuhan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100437896","display_name":"Xiaowen Liu","orcid":"https://orcid.org/0000-0002-4870-1522"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaowen Liu","raw_affiliation_strings":["College of Information and Communication, National University of Defense Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"College of Information and Communication, National University of Defense Technology, Wuhan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100368300","display_name":"Gong Zhang","orcid":"https://orcid.org/0000-0001-8348-8993"},"institutions":[{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gong Zhang","raw_affiliation_strings":["School of Computer Science, Hubei University of Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Hubei University of Technology, Wuhan, China","institution_ids":["https://openalex.org/I74525822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079687459","display_name":"Luliang Jia","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148107","display_name":"Space Engineering University","ror":"https://ror.org/04rj1td02","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210148107"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luliang Jia","raw_affiliation_strings":["School of Space Information, Space Engineering University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Space Information, Space Engineering University, Beijing, China","institution_ids":["https://openalex.org/I4210148107"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100407792","display_name":"Xu Wang","orcid":"https://orcid.org/0000-0001-5775-0847"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Wang","raw_affiliation_strings":["College of Information and Communication, National University of Defense Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"College of Information and Communication, National University of Defense Technology, Wuhan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009302687","display_name":"Zhiyuan Zhao","orcid":"https://orcid.org/0000-0003-1465-0269"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiyuan Zhao","raw_affiliation_strings":["College of Information and Communication, National University of Defense Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"College of Information and Communication, National University of Defense Technology, Wuhan, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5070179332"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":null,"apc_paid":null,"fwci":14.8194,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.9971031,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"33","issue":"9","first_page":"4728","last_page":"4740"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9927999973297119,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.6164087653160095},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6048120260238647},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.588071346282959},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5409972667694092},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.49455639719963074},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4623810648918152},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4321242570877075},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4311666488647461},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4045531749725342},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39852532744407654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29535815119743347},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10321134328842163}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6164087653160095},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6048120260238647},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.588071346282959},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5409972667694092},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.49455639719963074},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4623810648918152},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4321242570877075},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4311666488647461},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4045531749725342},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39852532744407654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29535815119743347},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10321134328842163},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsvt.2023.3247944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2023.3247944","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1711588302","display_name":null,"funder_award_id":"ZK21-37","funder_id":"https://openalex.org/F4320324150","funder_display_name":"National University of Defense Technology"},{"id":"https://openalex.org/G2570225071","display_name":null,"funder_award_id":"62102423","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8115122862","display_name":null,"funder_award_id":"62101559","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/F4320324150","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1975490585","https://openalex.org/W1980454827","https://openalex.org/W1986931325","https://openalex.org/W2004544971","https://openalex.org/W2025666718","https://openalex.org/W2028781966","https://openalex.org/W2037964547","https://openalex.org/W2053808172","https://openalex.org/W2056201402","https://openalex.org/W2107861471","https://openalex.org/W2108982210","https://openalex.org/W2115706991","https://openalex.org/W2124940450","https://openalex.org/W2128659236","https://openalex.org/W2135046866","https://openalex.org/W2143163931","https://openalex.org/W2145096794","https://openalex.org/W2146842127","https://openalex.org/W2147298660","https://openalex.org/W2149414429","https://openalex.org/W2154881938","https://openalex.org/W2156447271","https://openalex.org/W2166956514","https://openalex.org/W2168175751","https://openalex.org/W2168745297","https://openalex.org/W2289917018","https://openalex.org/W2342838199","https://openalex.org/W2400598469","https://openalex.org/W2579902272","https://openalex.org/W2619760493","https://openalex.org/W2798514732","https://openalex.org/W2807616901","https://openalex.org/W2910655660","https://openalex.org/W2941993324","https://openalex.org/W2963322354","https://openalex.org/W2963688947","https://openalex.org/W2967012692","https://openalex.org/W2978969444","https://openalex.org/W2998656915","https://openalex.org/W3004188328","https://openalex.org/W3011573842","https://openalex.org/W3088577911","https://openalex.org/W3108751478","https://openalex.org/W3153782301","https://openalex.org/W3171243408","https://openalex.org/W3202355140","https://openalex.org/W3211682134","https://openalex.org/W4250955649","https://openalex.org/W4252386822","https://openalex.org/W4280585858","https://openalex.org/W6665272994","https://openalex.org/W6681807782","https://openalex.org/W6684416548"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2318923278","https://openalex.org/W2417585376","https://openalex.org/W1994157709","https://openalex.org/W2576451984"],"abstract_inverted_index":{"The":[0],"log-sum":[1,47,61,65,84,107,121,140],"function":[2,48,62,72],"as":[3],"a":[4,21,78,136,143],"penalty":[5],"has":[6],"always":[7],"been":[8],"drawing":[9],"widespread":[10],"attention":[11],"in":[12,51],"the":[13,35,42,56,91,94,99,114,117,131,153,157,161,165],"field":[14],"of":[15,98,120,139,145,152],"sparse":[16,43,57],"problems.":[17],"However,":[18],"it":[19,126],"brings":[20],"non-convex,":[22],"non-smooth":[23],"and":[24,104,156],"non-Lipschitz":[25],"optimization":[26,44,58],"problem":[27],"that":[28,116,130,160],"is":[29,49,86,110],"difficult":[30],"to":[31,73,135,149],"tackle.":[32],"To":[33],"overcome":[34],"problem,":[36],"an":[37,70,105],"iterative":[38,106],"threshold":[39,108],"algorithm":[40,109,133,163],"for":[41,83],"problems":[45,59],"with":[46,60],"proposed":[50,132,154,162],"this":[52],"paper.":[53],"For":[54],"brevity,":[55],"are":[63,102,123,147],"named":[64],"regularization.":[66,141],"Firstly,":[67],"by":[68],"introducing":[69],"intermediate":[71],"construct":[74],"another":[75],"new":[76],"function,":[77],"property":[79],"theorem":[80],"about":[81],"solution":[82],"regularization":[85,122],"established.":[87],"Secondly,":[88],"based":[89],"on":[90],"above":[92],"theorem,":[93],"optimal":[95],"setting":[96],"rules":[97],"compromising":[100,118],"parameters":[101,119],"elaborated,":[103],"proposed.":[111],"Thirdly,":[112],"under":[113],"situation":[115],"relatively":[124],"small,":[125],"can":[127],"be":[128],"proven":[129],"converges":[134],"local":[137],"minimizer":[138],"Finally,":[142],"series":[144],"simulations":[146],"implemented":[148],"examine":[150],"performance":[151],"algorithm,":[155],"results":[158],"exhibit":[159],"outperforms":[164],"state-of-the-art":[166],"algorithms.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":50},{"year":2023,"cited_by_count":4}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}