{"id":"https://openalex.org/W2565703388","doi":"https://doi.org/10.1109/tnnls.2016.2636130","title":"Robust DLPP With Nongreedy $\\ell _1$ -Norm Minimization and Maximization","display_name":"Robust DLPP With Nongreedy $\\ell _1$ -Norm Minimization and Maximization","publication_year":2016,"publication_date":"2016-12-29","ids":{"openalex":"https://openalex.org/W2565703388","doi":"https://doi.org/10.1109/tnnls.2016.2636130","mag":"2565703388","pmid":"https://pubmed.ncbi.nlm.nih.gov/28055920"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2016.2636130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2016.2636130","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100417694","display_name":"Qianqian Wang","orcid":"https://orcid.org/0000-0001-8217-5952"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianqian Wang","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, China","State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103009579","display_name":"Quanxue Gao","orcid":"https://orcid.org/0000-0002-8509-4549"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quanxue Gao","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, China","State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-8509-4549","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027795436","display_name":"Deyan Xie","orcid":"https://orcid.org/0000-0003-3517-9007"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deyan Xie","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, China","State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101785348","display_name":"Xinbo Gao","orcid":"https://orcid.org/0000-0002-7985-0037"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinbo Gao","raw_affiliation_strings":["School of Electronic Engineering, Xidian University, Xi\u2019an, China","School of Electronic Engineering, Xidian University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100424530","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0003-2006-5410"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["School of Electronic Engineering, Xidian University, Xi\u2019an, China","School of Electronic Engineering, Xidian University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.9288,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.92235717,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"29","issue":"3","first_page":"738","last_page":"743"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9987999796867371,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.991100013256073,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/subspace-topology","display_name":"Subspace topology","score":0.6597897410392761},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5993713140487671},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5585492253303528},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5245873332023621},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5048783421516418},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4619465470314026},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.4437289535999298},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.44164690375328064},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4302878677845001},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.391304612159729},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38921958208084106},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38892513513565063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3478710949420929}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6597897410392761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5993713140487671},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5585492253303528},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5245873332023621},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5048783421516418},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4619465470314026},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4437289535999298},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.44164690375328064},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4302878677845001},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.391304612159729},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38921958208084106},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38892513513565063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3478710949420929},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2016.2636130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2016.2636130","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:28055920","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28055920","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G24204412","display_name":null,"funder_award_id":"61271296","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G439084409","display_name":null,"funder_award_id":"2012M521747","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G6259314126","display_name":null,"funder_award_id":"BDY21","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"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/W147992333","https://openalex.org/W1551921296","https://openalex.org/W1592941960","https://openalex.org/W1904464160","https://openalex.org/W1915802403","https://openalex.org/W1992633833","https://openalex.org/W1995302825","https://openalex.org/W2001619934","https://openalex.org/W2049633694","https://openalex.org/W2076019763","https://openalex.org/W2090101874","https://openalex.org/W2090579338","https://openalex.org/W2101117936","https://openalex.org/W2103250033","https://openalex.org/W2123921160","https://openalex.org/W2134935984","https://openalex.org/W2143115034","https://openalex.org/W2151416140","https://openalex.org/W2153051254","https://openalex.org/W2155759509","https://openalex.org/W2158281641","https://openalex.org/W2166693468","https://openalex.org/W2243467829","https://openalex.org/W2279365017","https://openalex.org/W2427656690","https://openalex.org/W2471988522","https://openalex.org/W2497667527","https://openalex.org/W2994340921","https://openalex.org/W3129711340","https://openalex.org/W3148981562","https://openalex.org/W4292023222","https://openalex.org/W6605914596","https://openalex.org/W6633118537","https://openalex.org/W6635516332","https://openalex.org/W6635552349","https://openalex.org/W6675479683","https://openalex.org/W6675955514","https://openalex.org/W6680150360","https://openalex.org/W6682602143"],"related_works":["https://openalex.org/W2900864464","https://openalex.org/W2475480881","https://openalex.org/W1637798125","https://openalex.org/W2367926634","https://openalex.org/W2121723556","https://openalex.org/W54727051","https://openalex.org/W2783639087","https://openalex.org/W2155956102","https://openalex.org/W2390244926","https://openalex.org/W2112820851"],"abstract_inverted_index":{"Recently,":[0],"discriminant":[1],"locality":[2],"preserving":[3],"projection":[4,20,27],"based":[5],"on":[6,91],"L1-norm":[7],"(DLPP-L1)":[8],"was":[9],"developed":[10],"for":[11,58],"robust":[12],"subspace":[13],"learning":[14],"and":[15,85],"image":[16],"classification.":[17],"It":[18,62],"obtains":[19],"vectors":[21,28],"by":[22],"greedy":[23],"strategy,":[24],"i.e.,":[25],"all":[26],"are":[29],"optimized":[30],"individually":[31],"through":[32],"maximizing":[33],"the":[34,38,46,54,79,95],"objective":[35,56],"function.":[36],"Thus,":[37],"obtained":[39],"solution":[40],"does":[41],"not":[42],"necessarily":[43],"best":[44],"optimize":[45],"corresponding":[47],"trace":[48,80],"ratio":[49,81],"optimization":[50],"algorithm,":[51],"which":[52],"is":[53],"essential":[55],"function":[57],"general":[59],"dimensionality":[60],"reduction.":[61],"results":[63,90],"in":[64],"insufficient":[65],"recognition":[66],"accuracy.":[67],"To":[68],"tackle":[69],"this":[70],"problem,":[71],"we":[72],"propose":[73],"a":[74],"nongreedy":[75],"algorithm":[76],"to":[77],"solve":[78],"formula":[82],"of":[83,97],"DLPP-L1,":[84],"analyze":[86],"its":[87],"convergence.":[88],"Experimental":[89],"three":[92],"databases":[93],"illustrate":[94],"effectiveness":[96],"our":[98],"proposed":[99],"algorithm.":[100]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}