{"id":"https://openalex.org/W2765803749","doi":"https://doi.org/10.23919/eusipco.2017.8081585","title":"A two-term penalty function for inverse problems with sparsity constrains","display_name":"A two-term penalty function for inverse problems with sparsity constrains","publication_year":2017,"publication_date":"2017-08-01","ids":{"openalex":"https://openalex.org/W2765803749","doi":"https://doi.org/10.23919/eusipco.2017.8081585","mag":"2765803749"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco.2017.8081585","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco.2017.8081585","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th European Signal Processing Conference (EUSIPCO)","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/A5077092609","display_name":"Paul Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-8501-0907"},"institutions":[{"id":"https://openalex.org/I65285256","display_name":"Pontificia Universidad Cat\u00f3lica del Per\u00fa","ror":"https://ror.org/00013q465","country_code":"PE","type":"education","lineage":["https://openalex.org/I65285256"]}],"countries":["PE"],"is_corresponding":true,"raw_author_name":"Paul Rodriguez","raw_affiliation_strings":["Department of Electrical Engineering, Pontificia Universidad Cat\u00f3lica del Per\u00fa, Lima, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Pontificia Universidad Cat\u00f3lica del Per\u00fa, Lima, Peru","institution_ids":["https://openalex.org/I65285256"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077092609"],"corresponding_institution_ids":["https://openalex.org/I65285256"],"apc_list":null,"apc_paid":null,"fwci":0.876,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7776542,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"2126","last_page":"2130"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/penalty-method","display_name":"Penalty method","score":0.7340932488441467},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6139241456985474},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.5928208231925964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5212493538856506},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5202961564064026},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4930731952190399},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49277833104133606},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4917600452899933},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48458611965179443},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4335727393627167},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.41074544191360474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4000052809715271},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3711239695549011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3607276380062103},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2425684928894043}],"concepts":[{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.7340932488441467},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6139241456985474},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.5928208231925964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5212493538856506},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5202961564064026},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4930731952190399},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49277833104133606},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4917600452899933},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48458611965179443},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4335727393627167},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.41074544191360474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4000052809715271},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3711239695549011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3607276380062103},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2425684928894043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/eusipco.2017.8081585","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco.2017.8081585","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320315473","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1820680895","https://openalex.org/W1946953458","https://openalex.org/W1972715665","https://openalex.org/W1973376681","https://openalex.org/W1977546873","https://openalex.org/W2013288428","https://openalex.org/W2029507661","https://openalex.org/W2033894760","https://openalex.org/W2045782147","https://openalex.org/W2048878808","https://openalex.org/W2070094080","https://openalex.org/W2078204800","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2117259536","https://openalex.org/W2122315118","https://openalex.org/W2122950831","https://openalex.org/W2133665775","https://openalex.org/W2135367316","https://openalex.org/W2141200610","https://openalex.org/W2163761533","https://openalex.org/W2164278908","https://openalex.org/W2172275395","https://openalex.org/W2190662802","https://openalex.org/W2216139520","https://openalex.org/W2293078015","https://openalex.org/W2516327642","https://openalex.org/W2561734958","https://openalex.org/W2713753330","https://openalex.org/W3104020249","https://openalex.org/W4250297470","https://openalex.org/W4292363360","https://openalex.org/W6684111346","https://openalex.org/W6688447623","https://openalex.org/W6730253028"],"related_works":["https://openalex.org/W2562325497","https://openalex.org/W1965977581","https://openalex.org/W2061980133","https://openalex.org/W2050855072","https://openalex.org/W2077506191","https://openalex.org/W2387685679","https://openalex.org/W4298004047","https://openalex.org/W3134728064","https://openalex.org/W2115238236","https://openalex.org/W2374214022"],"abstract_inverted_index":{"Inverse":[0],"problems":[1,118,145],"with":[2,94,132,167],"sparsity":[3,67],"constrains,":[4],"such":[5,23],"Basis":[6],"Pursuit":[7],"denoising":[8,180],"(BPDN)":[9],"and":[10,39,58,89,140,181],"Convolutional":[11],"BPDN":[12,115,148],"(CBPDN),":[13],"usually":[14],"use":[15],"the":[16,19,41,54,60,71,87,90,95,102,109,114,125,147,157,171,179],"\u21131-norm":[17,88],"as":[18],"penalty":[20,46,80,91,105,128,160],"function;":[21],"however":[22],"choice":[24],"leads":[25],"to":[26,65],"a":[27,78,84],"solution":[28],"that":[29,156],"is":[30,107,119,130,162],"biased":[31],"towards":[32],"zero.":[33],"Recently,":[34],"several":[35],"works":[36],"have":[37],"proposed":[38,103,126,158],"assessed":[40],"properties":[42],"of":[43,49,83,124],"other":[44,133],"non-standard":[45],"functions":[47],"(most":[48],"them":[50],"non-convex),":[51],"which":[52],"avoid":[53],"above":[55],"mentioned":[56],"drawback":[57],"at":[59],"same":[61],"time":[62],"are":[63],"intended":[64],"induce":[66],"more":[68],"strongly":[69],"than":[70],"\u21131-norm.":[72],"In":[73],"this":[74],"paper":[75],"we":[76],"propose":[77],"two-term":[79,104,127,159],"function":[81,92,106,112,129,161],"consisting":[82],"synthesis":[85],"between":[86],"associated":[93],"Non-Negative":[96],"Garrote":[97],"(NNG)":[98],"thresholding":[99],"rule.":[100],"Although":[101],"non-convex,":[108],"total":[110],"cost":[111],"for":[113,136,170,178],"/":[116,149],"CBPDN":[117,150],"still":[120],"convex.":[121],"The":[122],"performance":[123,177],"compared":[131],"reported":[134],"choices":[135],"practical":[137],"denoising,":[138],"deconvolution":[139,182],"convolutional":[141],"sparse":[142],"coding":[143],"(CSC)":[144],"within":[146],"frameworks.":[151],"Our":[152],"experimental":[153],"results":[154],"show":[155],"particularly":[163],"effective":[164],"(better":[165],"reconstruction":[166],"sparser":[168],"solutions)":[169],"CSC":[172],"problem":[173],"while":[174],"attaining":[175],"competitive":[176],"problems.":[183]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
