{"id":"https://openalex.org/W2112225422","doi":"https://doi.org/10.1109/tnnls.2013.2245914","title":"Sparse Coding From a Bayesian Perspective","display_name":"Sparse Coding From a Bayesian Perspective","publication_year":2013,"publication_date":"2013-03-21","ids":{"openalex":"https://openalex.org/W2112225422","doi":"https://doi.org/10.1109/tnnls.2013.2245914","mag":"2112225422","pmid":"https://pubmed.ncbi.nlm.nih.gov/24808474"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2013.2245914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2245914","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":true,"oa_status":"green","oa_url":"http://ir.opt.ac.cn/handle/181661/23436","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051108735","display_name":"Xiaoqiang Lu","orcid":"https://orcid.org/0000-0003-0338-7645"},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoqiang Lu","raw_affiliation_strings":["Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xian, China"],"affiliations":[{"raw_affiliation_string":"Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xian, China","institution_ids":["https://openalex.org/I4210144662"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100449199","display_name":"Yulong Wang","orcid":"https://orcid.org/0000-0002-1033-9281"},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yulong Wang","raw_affiliation_strings":["Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xian, China","Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xian, China","institution_ids":["https://openalex.org/I4210144662"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100334760","display_name":"Yuan Yuan","orcid":"https://orcid.org/0000-0002-4041-8765"},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Yuan","raw_affiliation_strings":["Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xian, China"],"affiliations":[{"raw_affiliation_string":"Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xian, China","institution_ids":["https://openalex.org/I4210144662"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051108735"],"corresponding_institution_ids":["https://openalex.org/I4210144662"],"apc_list":null,"apc_paid":null,"fwci":7.9469,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.98085943,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"24","issue":"6","first_page":"929","last_page":"939"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computer-science","display_name":"Computer science","score":0.46968773007392883},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.41364577412605286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3661593794822693},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3255142867565155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28535526990890503},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14750057458877563}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46968773007392883},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.41364577412605286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3661593794822693},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3255142867565155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28535526990890503},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14750057458877563}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2013.2245914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2245914","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:24808474","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24808474","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":null},{"id":"pmh:oai:ir.opt.ac.cn:181661/23436","is_oa":true,"landing_page_url":"http://ir.opt.ac.cn/handle/181661/23436","pdf_url":null,"source":{"id":"https://openalex.org/S4377196962","display_name":"Institutional Repository of Xi'an Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Xian Institute of Optics and Precision Mechanics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210144662","host_organization_name":"Xi'an Institute of Optics and Precision Mechanics","host_organization_lineage":["https://openalex.org/I4210144662"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:ir.opt.ac.cn:181661/23436","is_oa":true,"landing_page_url":"http://ir.opt.ac.cn/handle/181661/23436","pdf_url":null,"source":{"id":"https://openalex.org/S4377196962","display_name":"Institutional Repository of Xi'an Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Xian Institute of Optics and Precision Mechanics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210144662","host_organization_name":"Xi'an Institute of Optics and Precision Mechanics","host_organization_lineage":["https://openalex.org/I4210144662"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W3219084","https://openalex.org/W171292237","https://openalex.org/W1648445109","https://openalex.org/W1965125844","https://openalex.org/W1982652137","https://openalex.org/W1985808834","https://openalex.org/W1996352909","https://openalex.org/W2005876975","https://openalex.org/W2038964396","https://openalex.org/W2043478128","https://openalex.org/W2056201402","https://openalex.org/W2062097275","https://openalex.org/W2063978378","https://openalex.org/W2066513304","https://openalex.org/W2080248829","https://openalex.org/W2090774745","https://openalex.org/W2101212989","https://openalex.org/W2105464873","https://openalex.org/W2113577207","https://openalex.org/W2114122776","https://openalex.org/W2114475956","https://openalex.org/W2116148865","https://openalex.org/W2121058967","https://openalex.org/W2124696819","https://openalex.org/W2129812935","https://openalex.org/W2135046866","https://openalex.org/W2139047213","https://openalex.org/W2140245639","https://openalex.org/W2140499889","https://openalex.org/W2143644377","https://openalex.org/W2145889472","https://openalex.org/W2149270675","https://openalex.org/W2153663612","https://openalex.org/W2160547390","https://openalex.org/W2166183437","https://openalex.org/W2166471851","https://openalex.org/W2597289420","https://openalex.org/W3098306969","https://openalex.org/W3104712019","https://openalex.org/W3105543546","https://openalex.org/W4285719527","https://openalex.org/W6606997615","https://openalex.org/W6684880301"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"Sparse":[0],"coding":[1,14,61,116],"is":[2,34,62,117,136],"a":[3,65,72,78],"promising":[4],"theme":[5],"in":[6,71,124],"computer":[7],"vision.":[8],"Most":[9],"of":[10,36,41,53,84,110],"the":[11,37,42,46,49,54,85,94,102,107,111,133],"existing":[12],"sparse":[13,60,115],"methods":[15],"are":[16],"based":[17],"on":[18,48,122],"either":[19],"l0":[20,43,95],"or":[21,30],"l1":[22,55,103],"penalty,":[23],"which":[24,69],"often":[25],"leads":[26],"to":[27],"unstable":[28],"solution":[29,83],"biased":[31],"estimation.":[32,80],"This":[33],"because":[35],"nonconvexity":[38],"and":[39,45,97,128],"discontinuity":[40],"penalty":[44,96],"over-penalization":[47],"true":[50],"large":[51],"coefficients":[52],"penalty.":[56,104],"In":[57,105],"this":[58],"paper,":[59],"interpreted":[63],"from":[64],"novel":[66],"Bayesian":[67],"perspective,":[68],"results":[70,92],"new":[73],"objective":[74,86],"function":[75,87],"through":[76],"maximum":[77],"posteriori":[79],"The":[81,120],"obtained":[82],"can":[88],"generate":[89],"more":[90,137],"stable":[91],"than":[93,101,139],"smaller":[98],"reconstruction":[99],"errors":[100],"addition,":[106],"convergence":[108],"property":[109],"proposed":[112,134],"algorithm":[113],"for":[114],"also":[118],"established.":[119],"experiments":[121],"applications":[123],"single":[125],"image":[126],"super-resolution":[127],"visual":[129],"tracking":[130],"demonstrate":[131],"that":[132],"method":[135],"effective":[138],"other":[140],"state-of-the-art":[141],"methods.":[142]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
