{"id":"https://openalex.org/W2168553550","doi":"https://doi.org/10.1109/tsp.2008.2007605","title":"Improved FOCUSS Method With Conjugate Gradient Iterations","display_name":"Improved FOCUSS Method With Conjugate Gradient Iterations","publication_year":2008,"publication_date":"2008-11-06","ids":{"openalex":"https://openalex.org/W2168553550","doi":"https://doi.org/10.1109/tsp.2008.2007605","mag":"2168553550"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2008.2007605","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2008.2007605","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/A5073223793","display_name":"Zhaoshui He","orcid":"https://orcid.org/0000-0001-5198-7851"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhaoshui He","raw_affiliation_strings":["South China University of Technology, Guangzhou, Guangdong, CN"],"affiliations":[{"raw_affiliation_string":"South China University of Technology, Guangzhou, Guangdong, CN","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018676117","display_name":"Andrzej Cichocki","orcid":"https://orcid.org/0000-0002-8364-7226"},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"A. Cichocki","raw_affiliation_strings":["Lab. for Adv. Brain Signal Process., RIKEN Brain Sci. Inst., Wako"],"affiliations":[{"raw_affiliation_string":"Lab. for Adv. Brain Signal Process., RIKEN Brain Sci. Inst., Wako","institution_ids":["https://openalex.org/I2800939219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022656662","display_name":"Rafa\u0142 Zdunek","orcid":"https://orcid.org/0000-0003-3323-6717"},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"R. Zdunek","raw_affiliation_strings":["Lab. for Adv. Brain Signal Process., RIKEN Brain Sci. Inst., Wako"],"affiliations":[{"raw_affiliation_string":"Lab. for Adv. Brain Signal Process., RIKEN Brain Sci. Inst., Wako","institution_ids":["https://openalex.org/I2800939219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043262479","display_name":"Shengli Xie","orcid":"https://orcid.org/0000-0003-2041-5214"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengli Xie","raw_affiliation_strings":["Sch. of Electron. & Inf. Eng., South China Univ. of Technol., Guangzhou"],"affiliations":[{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., South China Univ. of Technol., Guangzhou","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073223793"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":1.91,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.86780622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"57","issue":"1","first_page":"399","last_page":"404"},"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/T11996","display_name":"Random lasers and scattering media","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9922999739646912,"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/underdetermined-system","display_name":"Underdetermined system","score":0.9373763799667358},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6109069585800171},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6077831983566284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.468680202960968},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.44928503036499023},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4491713047027588},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43410399556159973},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4177033305168152},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39782464504241943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39215362071990967},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3757525682449341},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2953813672065735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0957917869091034},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06408724188804626}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.9373763799667358},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6109069585800171},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6077831983566284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.468680202960968},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.44928503036499023},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4491713047027588},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43410399556159973},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4177033305168152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39782464504241943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39215362071990967},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3757525682449341},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2953813672065735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0957917869091034},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06408724188804626},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2008.2007605","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2008.2007605","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.169.2497","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.169.2497","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.open.brain.riken.go.jp/publications/2009/Improved%20FOCUSS%20Method%20With%20Conjugate%20Gradient%20Iterations.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W271314235","https://openalex.org/W1485391971","https://openalex.org/W1506690472","https://openalex.org/W1514159701","https://openalex.org/W1986931325","https://openalex.org/W2038237443","https://openalex.org/W2065919982","https://openalex.org/W2098012923","https://openalex.org/W2105454037","https://openalex.org/W2108296001","https://openalex.org/W2108833652","https://openalex.org/W2110458413","https://openalex.org/W2116148865","https://openalex.org/W2120954952","https://openalex.org/W2122315118","https://openalex.org/W2128917009","https://openalex.org/W2142940228","https://openalex.org/W2143163931","https://openalex.org/W2151693816","https://openalex.org/W2153909896","https://openalex.org/W2154332973","https://openalex.org/W2155665608","https://openalex.org/W2162409952","https://openalex.org/W2164026645","https://openalex.org/W2164696938","https://openalex.org/W2166221887","https://openalex.org/W2166879937","https://openalex.org/W2316564661","https://openalex.org/W3022380717","https://openalex.org/W3029645440","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W4380785434","https://openalex.org/W4319592072","https://openalex.org/W196613453","https://openalex.org/W4319592070","https://openalex.org/W2051997468","https://openalex.org/W2046055439","https://openalex.org/W4387314894","https://openalex.org/W2138863404","https://openalex.org/W2542120579","https://openalex.org/W2005493548"],"abstract_inverted_index":{"Focal":[0],"Underdetermined":[1],"System":[2],"Solver":[3],"(FOCUSS)":[4],"is":[5,104],"a":[6,32,49,71,94],"powerful":[7],"tool":[8],"for":[9,39,84],"sparse":[10],"representation":[11],"and":[12,52,80],"underdetermined":[13],"inverse":[14],"problems.":[15,87],"In":[16],"this":[17],"correspondence,":[18],"we":[19,30,54],"strengthen":[20],"the":[21,25,37,40,56,60,66,77,90,98,102],"FOCUSS":[22,38,79],"method":[23,64],"with":[24,74,106],"following":[26],"main":[27],"contributions:":[28],"1)":[29],"give":[31],"more":[33],"rigorous":[34],"derivation":[35],"of":[36,101],"sparsity":[41],"parameter":[42],"0":[43],"<":[44,46],"p":[45],"1":[47],"by":[48,58],"nonlinear":[50],"transform":[51],"2)":[53],"develop":[55],"CG-FOCUSS":[57,91,103],"incorporating":[59],"conjugate":[61],"gradient":[62],"(CG)":[63],"to":[65,76],"FOCUSS,":[67],"which":[68],"significantly":[69],"reduces":[70],"computational":[72],"cost":[73],"respect":[75],"standard":[78],"extends":[81],"its":[82],"availability":[83],"large":[85],"scale":[86],"We":[88],"justify":[89],"based":[92],"on":[93],"probability":[95],"theory.":[96],"Furthermore,":[97],"high":[99],"performance":[100],"demonstrated":[105],"experiments.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}