{"id":"https://openalex.org/W2743219967","doi":"https://doi.org/10.1109/tip.2017.2738560","title":"Low-Rank Latent Pattern Approximation with Applications to Robust Image Classification","display_name":"Low-Rank Latent Pattern Approximation with Applications to Robust Image Classification","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2743219967","doi":"https://doi.org/10.1109/tip.2017.2738560","mag":"2743219967","pmid":"https://pubmed.ncbi.nlm.nih.gov/28809683"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2017.2738560","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2017.2738560","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","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/A5100366889","display_name":"Shuo Chen","orcid":"https://orcid.org/0000-0003-3848-3397"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuo Chen","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100726984","display_name":"Jian Yang","orcid":"https://orcid.org/0000-0003-4800-832X"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Yang","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101672910","display_name":"Lei Luo","orcid":"https://orcid.org/0000-0002-9976-0442"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Luo","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089954729","display_name":"Wei Yang","orcid":"https://orcid.org/0000-0002-9209-6825"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Wei","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075412755","display_name":"Kaihua Zhang","orcid":"https://orcid.org/0000-0002-1613-3401"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaihua Zhang","raw_affiliation_strings":["Jiangsu Key Laboratory of Big Data Analysis Technology, Nanjing University of Information Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory of Big Data Analysis Technology, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029021362","display_name":"Ying Tai","orcid":"https://orcid.org/0000-0002-4665-6852"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Tai","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Computer Sci. & Eng., Nanjing University of Sci. & Tech., Nanjing, China]","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100366889"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":1.4564,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.89438241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"11","first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9993000030517578,"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":0.9991000294685364,"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/overfitting","display_name":"Overfitting","score":0.6735086441040039},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.583759605884552},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5662738680839539},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5068319439888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48873353004455566},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.4784127175807953},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.4674217402935028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43612807989120483},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.4280344843864441},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.42523831129074097},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4114648699760437},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33912450075149536},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.32534196972846985},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.27300864458084106}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.6735086441040039},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.583759605884552},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5662738680839539},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5068319439888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48873353004455566},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.4784127175807953},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.4674217402935028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43612807989120483},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.4280344843864441},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.42523831129074097},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4114648699760437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33912450075149536},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.32534196972846985},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.27300864458084106},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2017.2738560","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2017.2738560","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:28809683","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28809683","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 image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310153","display_name":"Ryerson University","ror":"https://ror.org/05g13zd79"},{"id":"https://openalex.org/F4320322170","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W4952878","https://openalex.org/W147992333","https://openalex.org/W580109248","https://openalex.org/W1491541693","https://openalex.org/W1510982829","https://openalex.org/W1572394887","https://openalex.org/W1576445103","https://openalex.org/W1600550542","https://openalex.org/W1616262590","https://openalex.org/W1677182931","https://openalex.org/W1782590233","https://openalex.org/W1921852354","https://openalex.org/W1966759576","https://openalex.org/W1987486886","https://openalex.org/W1992841740","https://openalex.org/W1997201895","https://openalex.org/W1998808035","https://openalex.org/W2007822845","https://openalex.org/W2014697905","https://openalex.org/W2015625307","https://openalex.org/W2021770241","https://openalex.org/W2025530562","https://openalex.org/W2050551672","https://openalex.org/W2082487847","https://openalex.org/W2085400714","https://openalex.org/W2097486709","https://openalex.org/W2099474347","https://openalex.org/W2101149304","https://openalex.org/W2103972604","https://openalex.org/W2107369107","https://openalex.org/W2108840547","https://openalex.org/W2110410904","https://openalex.org/W2114214092","https://openalex.org/W2118781693","https://openalex.org/W2124608575","https://openalex.org/W2125874614","https://openalex.org/W2127786001","https://openalex.org/W2129812935","https://openalex.org/W2131178608","https://openalex.org/W2132467081","https://openalex.org/W2137823674","https://openalex.org/W2145152441","https://openalex.org/W2145287260","https://openalex.org/W2145962650","https://openalex.org/W2150193645","https://openalex.org/W2152516042","https://openalex.org/W2164278908","https://openalex.org/W2313529869","https://openalex.org/W2536626143","https://openalex.org/W2588939073","https://openalex.org/W2994340921","https://openalex.org/W3102431071","https://openalex.org/W3112293456","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W4301621763","https://openalex.org/W6630659446","https://openalex.org/W6634343353","https://openalex.org/W6640009317"],"related_works":["https://openalex.org/W4366831400","https://openalex.org/W2158044763","https://openalex.org/W4298234822","https://openalex.org/W2782047334","https://openalex.org/W3206304544","https://openalex.org/W3017414697","https://openalex.org/W2006601391","https://openalex.org/W2962791795","https://openalex.org/W2409839127","https://openalex.org/W1554365047"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,76,136,143],"novel":[4],"method":[5,184],"to":[6,40,54,65,86,99,131,168,192,212,222],"address":[7],"the":[8,26,36,56,66,88,101,104,111,116,119,123,140,157,169,194,206],"structural":[9,37,92,158],"noise":[10,38,47,159],"in":[11,33],"samples":[12],"for":[13,59],"image":[14,90,109,125,213],"classification.":[15],"Recently,":[16],"regression-related":[17],"classification":[18,161,214],"methods":[19,208,227],"have":[20],"shown":[21],"promising":[22],"results":[23,198],"when":[24],"facing":[25],"pixelwise":[27],"noise.":[28,93],"However,":[29],"they":[30],"become":[31],"weak":[32],"coping":[34],"with":[35,185,215],"due":[39],"ignoring":[41],"of":[42,46,51,103,142,171,182],"relationships":[43],"between":[44,107,118],"pixels":[45],"image.":[48],"Meanwhile,":[49],"most":[50],"them":[52],"need":[53],"implement":[55],"iterative":[57],"process":[58],"computing":[60],"representation":[61],"coefficients,":[62],"which":[63],"leads":[64],"high":[67],"time":[68],"consumption.":[69],"To":[70],"overcome":[71],"these":[72],"problems,":[73],"we":[74],"exploit":[75],"latent":[77,82,113,120],"pattern":[78,83,121],"model":[79],"called":[80],"low-rank":[81],"approximation":[84],"(LLPA)":[85],"reconstruct":[87],"test":[89,108],"having":[91],"The":[94,148],"rank":[95],"function":[96],"is":[97,126,165,190],"applied":[98],"characterize":[100],"structure":[102],"reconstruction":[105],"residual":[106],"and":[110,122,179,217,228],"corresponding":[112],"pattern.":[114],"Simultaneously,":[115],"error":[117],"reference":[124],"constrained":[127],"by":[128,139,174],"Frobenius":[129],"norm":[130],"prevent":[132],"overfitting.":[133],"LLPA":[134,154,164],"involves":[135],"closed-form":[137],"solution":[138],"virtue":[141],"singular":[144],"value":[145],"thresholding":[146],"operator.":[147],"provided":[149],"theoretic":[150],"analysis":[151],"demonstrates":[152],"that":[153,205],"indeed":[155],"removes":[156],"during":[160],"task.":[162],"Additionally,":[163],"further":[166],"extended":[167,195],"form":[170],"matrix":[172],"regression":[173],"connecting":[175],"multiple":[176],"training":[177],"samples,":[178],"alternating":[180],"direction":[181],"multipliers":[183],"Gaussian":[186],"back":[187],"substitution":[188],"algorithm":[189],"used":[191],"solve":[193],"LLPA.":[196],"Experimental":[197],"on":[199],"several":[200],"popular":[201],"data":[202],"sets":[203],"validate":[204],"proposed":[207],"are":[209],"more":[210],"robust":[211],"occlusion":[216],"illumination":[218],"changes,":[219],"as":[220],"compared":[221],"some":[223],"existing":[224],"state-of-the-art":[225],"reconstruction-based":[226],"one":[229],"deep":[230],"neural":[231],"network-based":[232],"method.":[233]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
