{"id":"https://openalex.org/W1675061566","doi":"https://doi.org/10.1109/tsp.2016.2595499","title":"Sparse Regularization: Convergence Of Iterative Jumping Thresholding Algorithm","display_name":"Sparse Regularization: Convergence Of Iterative Jumping Thresholding Algorithm","publication_year":2016,"publication_date":"2016-07-28","ids":{"openalex":"https://openalex.org/W1675061566","doi":"https://doi.org/10.1109/tsp.2016.2595499","mag":"1675061566"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2595499","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2595499","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5100440528","display_name":"Jinshan Zeng","orcid":"https://orcid.org/0000-0003-1719-3358"},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinshan Zeng","raw_affiliation_strings":["College of Computer Information Engineering, Jiangxi Normal University, Nanchang, China","College of Computer Information Engineering, Jiangxi Normal University,Nanchang,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Information Engineering, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"College of Computer Information Engineering, Jiangxi Normal University,Nanchang,China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022287632","display_name":"Shao-Bo Lin","orcid":"https://orcid.org/0000-0001-5122-9153"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaobo Lin","raw_affiliation_strings":["College of Mathematics and Information Science, Wenzhou University, Wenzhou, China","College of Mathematics and Information Science, Wenzhou University, Wenzhou, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Wenzhou University, Wenzhou, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Wenzhou University, Wenzhou, China#TAB#","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109280540","display_name":"Zongben Xu","orcid":"https://orcid.org/0000-0002-4066-2338"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongben Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China","(School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"(School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China)","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8678,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.97240241,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"64","issue":"19","first_page":"5106","last_page":"5118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.989799976348877,"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/algorithm","display_name":"Algorithm","score":0.5823583602905273},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5652621984481812},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.5631464123725891},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5496689081192017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4859415292739868},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.45848768949508667},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.44669976830482483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43647825717926025},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2547498941421509},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11378756165504456}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5823583602905273},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5652621984481812},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.5631464123725891},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5496689081192017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4859415292739868},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.45848768949508667},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.44669976830482483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43647825717926025},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2547498941421509},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11378756165504456},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2016.2595499","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2595499","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G3236742908","display_name":null,"funder_award_id":"11501440","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6387110224","display_name":null,"funder_award_id":"11401462","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6581059019","display_name":null,"funder_award_id":"61502342","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W119997944","https://openalex.org/W357677209","https://openalex.org/W1943431218","https://openalex.org/W1965125844","https://openalex.org/W1967138577","https://openalex.org/W1968154520","https://openalex.org/W1969387119","https://openalex.org/W1973397215","https://openalex.org/W1980454827","https://openalex.org/W1986737463","https://openalex.org/W1996726072","https://openalex.org/W2004544971","https://openalex.org/W2006262045","https://openalex.org/W2021361347","https://openalex.org/W2022164193","https://openalex.org/W2025666718","https://openalex.org/W2027982384","https://openalex.org/W2029816571","https://openalex.org/W2032944446","https://openalex.org/W2037843111","https://openalex.org/W2037964547","https://openalex.org/W2044762091","https://openalex.org/W2046186129","https://openalex.org/W2055064119","https://openalex.org/W2056201402","https://openalex.org/W2063761188","https://openalex.org/W2074682976","https://openalex.org/W2080744942","https://openalex.org/W2090963365","https://openalex.org/W2101432546","https://openalex.org/W2103215959","https://openalex.org/W2107861471","https://openalex.org/W2115706991","https://openalex.org/W2119883478","https://openalex.org/W2120032870","https://openalex.org/W2122315118","https://openalex.org/W2129131372","https://openalex.org/W2130698119","https://openalex.org/W2135046866","https://openalex.org/W2141538908","https://openalex.org/W2145096794","https://openalex.org/W2145889472","https://openalex.org/W2153562582","https://openalex.org/W2154231875","https://openalex.org/W2166956514","https://openalex.org/W2168745297","https://openalex.org/W2296616510","https://openalex.org/W2963292690","https://openalex.org/W3101710822","https://openalex.org/W3140448292","https://openalex.org/W3157341860","https://openalex.org/W4249513058","https://openalex.org/W4250955649","https://openalex.org/W6604869959"],"related_works":["https://openalex.org/W2003482227","https://openalex.org/W4246215430","https://openalex.org/W2092652850","https://openalex.org/W2125162313","https://openalex.org/W1996070960","https://openalex.org/W2582835249","https://openalex.org/W2065955295","https://openalex.org/W2324649150","https://openalex.org/W426863927","https://openalex.org/W2889124425"],"abstract_inverted_index":{"In":[0,22,182],"recent":[1],"studies":[2],"on":[3,16],"sparse":[4,40,217],"modeling,":[5],"nonconvex":[6,31,176],"penalties":[7,51,177],"have":[8],"received":[9],"considerable":[10],"attentions":[11],"due":[12],"to":[13,118,147,186,197,216],"their":[14],"superiorities":[15],"sparsity-inducing":[17],"over":[18],"the":[19,27,45,50,60,62,89,95,102,114,159,175,187,213,230,233],"convex":[20],"counterparts.":[21],"this":[23,180],"paper,":[24],"we":[25,58,110,136],"study":[26],"convergence":[28,73,97],"of":[29,39,49,74,83,101,174,232],"a":[30,37,119,138,198],"iterative":[32,63],"thresholding":[33,47,65],"algorithm":[34,61,76,116,194,215],"for":[35],"solving":[36],"class":[38],"regularized":[41],"optimization":[42],"problems,":[43],"where":[44],"corresponding":[46],"functions":[48],"are":[52],"discontinuous":[53],"with":[54,88,201],"jump":[55,85],"discontinuities.":[56],"Therefore,":[57],"call":[59],"jumping":[64],"(IJT)":[66],"algorithm.":[67,235],"The":[68,226],"finite":[69],"support":[70],"and":[71,220],"sign":[72],"IJT":[75,115,193],"is":[77,170],"first":[78],"verified":[79],"via":[80],"taking":[81],"advantage":[82],"such":[84],"discontinuity.":[86],"Together":[87],"introduced":[90],"restricted":[91],"Kurdyka-\u0141ojasiewicz":[92],"property,":[93],"then":[94],"global":[96],"<sup":[98,128],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[99,129,162,190],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[100],"entire":[103],"sequence":[104],"can":[105,111,144,195],"be":[106,145,155],"further":[107],"proved.":[108],"Furthermore,":[109],"show":[112,229],"that":[113,158],"converges":[117],"strictly":[120],"local":[121,199],"minimizer":[122,200],"at":[123],"an":[124,149,171,202],"eventual":[125,203],"linear":[126,204],"rate":[127,205],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[130],"under":[131,206],"some":[132],"additional":[133],"conditions.":[134,209],"Moreover,":[135],"derive":[137],"posteriori":[139],"computable":[140],"error":[141],"estimate,":[142],"which":[143],"used":[146],"design":[148],"efficient":[150],"terminate":[151],"rule.":[152],"It":[153],"should":[154],"pointed":[156],"out":[157],"\u2113":[160,188],"<sub":[161,189],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[163,191],"quasinorm":[164],"(0":[165],"<;":[166,168],"q":[167],"1)":[169],"important":[172],"subclass":[173],"studied":[178],"in":[179],"paper.":[181],"particular,":[183],"when":[184],"applied":[185],"regularization,":[192],"converge":[196],"certain":[207],"concentration":[208],"We":[210],"also":[211],"apply":[212],"proposed":[214,234],"signal":[218],"recovery":[219],"synthetic":[221],"aperture":[222],"radar":[223],"imaging":[224],"problems.":[225],"experiment":[227],"results":[228],"effectiveness":[231]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}