{"id":"https://openalex.org/W2009887837","doi":"https://doi.org/10.1109/icassp.2013.6638267","title":"Smoothed SimCO for dictionary learning: Handling the singularity issue","display_name":"Smoothed SimCO for dictionary learning: Handling the singularity issue","publication_year":2013,"publication_date":"2013-05-01","ids":{"openalex":"https://openalex.org/W2009887837","doi":"https://doi.org/10.1109/icassp.2013.6638267","mag":"2009887837"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2013.6638267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2013.6638267","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5070505636","display_name":"Xiaochen Zhao","orcid":"https://orcid.org/0000-0001-8976-7723"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xiaochen Zhao","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079740632","display_name":"Guangyu Zhou","orcid":"https://orcid.org/0000-0003-0897-6465"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Guangyu Zhou","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100752236","display_name":"Wei Dai","orcid":"https://orcid.org/0000-0002-4781-3485"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Wei Dai","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":1.6944,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8285784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"54","issue":null,"first_page":"3292","last_page":"3296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.995199978351593,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9925000071525574,"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/maxima-and-minima","display_name":"Maxima and minima","score":0.805372953414917},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7259299159049988},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.7199779152870178},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6032294631004333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5952984094619751},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5313012599945068},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5123844742774963},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5115476846694946},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.43596673011779785},{"id":"https://openalex.org/keywords/dictionary-learning","display_name":"Dictionary learning","score":0.4115648865699768},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3571638762950897},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3271905183792114},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.18596839904785156},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05991807579994202}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.805372953414917},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7259299159049988},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7199779152870178},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6032294631004333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5952984094619751},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5313012599945068},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5123844742774963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5115476846694946},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.43596673011779785},{"id":"https://openalex.org/C2988886741","wikidata":"https://www.wikidata.org/wiki/Q25304494","display_name":"Dictionary learning","level":3,"score":0.4115648865699768},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3571638762950897},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3271905183792114},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.18596839904785156},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05991807579994202},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2013.6638267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2013.6638267","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W67201968","https://openalex.org/W2045328647","https://openalex.org/W2045512849","https://openalex.org/W2115429828","https://openalex.org/W2126534699","https://openalex.org/W2128659236","https://openalex.org/W2129131372","https://openalex.org/W2160547390","https://openalex.org/W2160979406","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W131971937","https://openalex.org/W1557737441","https://openalex.org/W1996762907","https://openalex.org/W2095858157","https://openalex.org/W2752635268","https://openalex.org/W2324860879","https://openalex.org/W2021599769","https://openalex.org/W3114201969","https://openalex.org/W4236459141","https://openalex.org/W2056823902"],"abstract_inverted_index":{"Typical":[0],"algorithms":[1,22],"for":[2,26,40],"dictionary":[3,12,27],"learning":[4],"iteratively":[5],"perform":[6],"two":[7],"steps:":[8],"sparse":[9],"approximation":[10,109],"and":[11],"update.":[13],"This":[14],"paper":[15],"focuses":[16],"on":[17],"the":[18,29,37,61,69,74,80,96,99,104,111,122,128,133],"latter.":[19],"While":[20],"various":[21],"have":[23],"been":[24],"proposed":[25,129],"update,":[28],"global":[30,48],"optimality":[31],"is":[32,50,64,84,103,118],"generally":[33],"not":[34,44,51,65],"guaranteed.":[35],"Interestingly,":[36],"main":[38],"reason":[39],"an":[41],"optimization":[42,124],"procedure":[43],"converging":[45],"to":[46,120],"a":[47,87],"optimum":[49],"local":[52],"minima":[53],"or":[54],"saddle":[55],"points":[56,59],"but":[57],"singular":[58],"where":[60,79],"objective":[62,82,101],"function":[63,83,102],"continuous.":[66],"To":[67],"address":[68],"singularity":[70],"issue,":[71],"we":[72],"propose":[73],"so":[75],"called":[76],"smoothed":[77],"SimCO,":[78],"original":[81,112],"replaced":[85],"with":[86],"continuous":[88],"counterpart.":[89],"It":[90],"can":[91],"be":[92],"proved":[93],"that":[94],"in":[95],"limit":[97],"case,":[98],"new":[100],"best":[105],"possible":[106],"lower":[107],"semi-continuous":[108],"of":[110],"one.":[113],"A":[114],"Newton":[115],"CG":[116],"method":[117,130],"implemented":[119],"solve":[121],"corresponding":[123],"problem.":[125],"Simulations":[126],"demonstrate":[127],"significantly":[131],"improves":[132],"performance.":[134]},"counts_by_year":[{"year":2014,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
