{"id":"https://openalex.org/W1983008863","doi":"https://doi.org/10.1109/icip.2010.5651522","title":"Fast &amp;#x2113;&lt;inf&gt;1&lt;/inf&gt;-minimization algorithms and an application in robust face recognition: A review","display_name":"Fast &amp;#x2113;&lt;inf&gt;1&lt;/inf&gt;-minimization algorithms and an application in robust face recognition: A review","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W1983008863","doi":"https://doi.org/10.1109/icip.2010.5651522","mag":"1983008863"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2010.5651522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2010.5651522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"review","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/A5107790029","display_name":"Allen Y. Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Allen Y. Yang","raw_affiliation_strings":["Department of EECS, University of California Berkeley, Berkeley, CA, USA","Department of EECS, UC Berkeley, CA 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of EECS, University of California Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of EECS, UC Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103101043","display_name":"S. Shankar Sastry","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Shankar Sastry","raw_affiliation_strings":["Department of EECS, University of California Berkeley, Berkeley, CA, USA","Department of EECS, UC Berkeley, CA 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of EECS, University of California Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of EECS, UC Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069750391","display_name":"Arvind Ganesh","orcid":null},"institutions":[{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arvind Ganesh","raw_affiliation_strings":["Coordinated Science Laboratory, UIUC, Urbana, IL, USA","Coordinated Science Lab, UIUC, Urbana, IL 61801, USA"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, UIUC, Urbana, IL, USA","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Coordinated Science Lab, UIUC, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I183874917"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062841020","display_name":"Yi Ma","orcid":"https://orcid.org/0000-0001-5485-419X"},"institutions":[{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yi Ma","raw_affiliation_strings":["Coordinated Science Laboratory, UIUC, Urbana, IL, USA","Coordinated Science Lab, UIUC, Urbana, IL 61801, USA"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, UIUC, Urbana, IL, USA","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Coordinated Science Lab, UIUC, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I183874917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107790029"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":37.945,"has_fulltext":false,"cited_by_count":418,"citation_normalized_percentile":{"value":0.99886082,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1849","last_page":"1852"},"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":0.9980000257492065,"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/T11448","display_name":"Face recognition and analysis","score":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/facial-recognition-system","display_name":"Facial recognition system","score":0.5973739624023438},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5973454713821411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5923269391059875},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5821437835693359},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5489318370819092},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5407095551490784},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5373349189758301},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.5184575915336609},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.48342931270599365},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.47779354453086853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45700159668922424},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.41925036907196045},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2991412281990051},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.24154654145240784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23945510387420654},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14254525303840637}],"concepts":[{"id":"https://openalex.org/C31510193","wikidata":"https://www.wikidata.org/wiki/Q1192553","display_name":"Facial recognition system","level":3,"score":0.5973739624023438},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5973454713821411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5923269391059875},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5821437835693359},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5489318370819092},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5407095551490784},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5373349189758301},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.5184575915336609},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.48342931270599365},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.47779354453086853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45700159668922424},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.41925036907196045},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2991412281990051},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.24154654145240784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23945510387420654},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14254525303840637},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2010.5651522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2010.5651522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Image Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W47264501","https://openalex.org/W1976709621","https://openalex.org/W1992241390","https://openalex.org/W2006262045","https://openalex.org/W2039957107","https://openalex.org/W2062102668","https://openalex.org/W2063978378","https://openalex.org/W2074316151","https://openalex.org/W2078204800","https://openalex.org/W2096586829","https://openalex.org/W2098012923","https://openalex.org/W2100556411","https://openalex.org/W2109449402","https://openalex.org/W2129812935","https://openalex.org/W2164452299","https://openalex.org/W2171534739","https://openalex.org/W2798766386","https://openalex.org/W2936995161","https://openalex.org/W2949483514","https://openalex.org/W3022380717","https://openalex.org/W3124114587","https://openalex.org/W4250344912","https://openalex.org/W6697219101","https://openalex.org/W6761030284"],"related_works":["https://openalex.org/W1542224353","https://openalex.org/W1661087619","https://openalex.org/W2116854923","https://openalex.org/W2750730210","https://openalex.org/W2236974868","https://openalex.org/W4312766348","https://openalex.org/W4233939244","https://openalex.org/W2730764323","https://openalex.org/W3123806511","https://openalex.org/W1976727107"],"abstract_inverted_index":{"We":[0],"provide":[1],"a":[2,33,48,64],"comprehensive":[3],"review":[4],"of":[5,44,60],"five":[6],"representative":[7],"\u2113":[8],"<sub":[9],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[11],"-minimization":[12],"methods,":[13],"i.e.,":[14],"gradient":[15],"projection,":[16],"homotopy,":[17],"iterative":[18],"shrinkage-thresholding,":[19],"proximal":[20],"gradient,":[21],"and":[22,87],"augmented":[23],"Lagrange":[24],"multiplier.":[25],"The":[26,52,90],"repository":[27],"is":[28],"intended":[29],"to":[30,39,72,96],"fill":[31],"in":[32,35,99],"gap":[34],"the":[36,42,58],"existing":[37],"literature":[38],"systematically":[40],"benchmark":[41],"performance":[43],"these":[45],"algorithms":[46],"using":[47],"consistent":[49],"experimental":[50],"setting.":[51],"experiment":[53],"will":[54],"be":[55,81],"focused":[56],"on":[57],"application":[59],"face":[61],"recognition,":[62],"where":[63],"sparse":[65],"representation":[66],"framework":[67],"has":[68],"recently":[69],"been":[70],"developed":[71],"recover":[73],"human":[74],"identities":[75],"from":[76],"facial":[77,88],"images":[78],"that":[79],"may":[80],"affected":[82],"by":[83],"illumination":[84],"change,":[85],"occlusion,":[86],"disguise.":[89],"paper":[91],"also":[92],"provides":[93],"useful":[94],"guidelines":[95],"practitioners":[97],"working":[98],"similar":[100],"fields.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":27},{"year":2018,"cited_by_count":38},{"year":2017,"cited_by_count":42},{"year":2016,"cited_by_count":49},{"year":2015,"cited_by_count":49},{"year":2014,"cited_by_count":56},{"year":2013,"cited_by_count":57},{"year":2012,"cited_by_count":34}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
