{"id":"https://openalex.org/W4392909398","doi":"https://doi.org/10.1109/icassp48485.2024.10446368","title":"External Division of Two Proximity Operators: An Application to Signal Recovery with Structured Sparsity","display_name":"External Division of Two Proximity Operators: An Application to Signal Recovery with Structured Sparsity","publication_year":2024,"publication_date":"2024-03-18","ids":{"openalex":"https://openalex.org/W4392909398","doi":"https://doi.org/10.1109/icassp48485.2024.10446368"},"language":"en","primary_location":{"id":"doi:10.1109/icassp48485.2024.10446368","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp48485.2024.10446368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5016949495","display_name":"Kyohei Suzuki","orcid":"https://orcid.org/0000-0001-7189-8645"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kyohei Suzuki","raw_affiliation_strings":["Keio University,Department of Electronics and Electrical Engineering,Japan","Department of Electronics and Electrical Engineering, Keio University, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Keio University,Department of Electronics and Electrical Engineering,Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Department of Electronics and Electrical Engineering, Keio University, Japan","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029561892","display_name":"Masahiro Yukawa","orcid":"https://orcid.org/0000-0002-3709-275X"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahiro Yukawa","raw_affiliation_strings":["Keio University,Department of Electronics and Electrical Engineering,Japan","Department of Electronics and Electrical Engineering, Keio University, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Keio University,Department of Electronics and Electrical Engineering,Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Department of Electronics and Electrical Engineering, Keio University, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":null,"apc_paid":null,"fwci":4.1776,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.95120839,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"9471","last_page":"9475"},"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":0.9972000122070312,"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":0.9962999820709229,"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/operator","display_name":"Operator (biology)","score":0.7871512174606323},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.6823856830596924},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.6514447331428528},{"id":"https://openalex.org/keywords/overdetermined-system","display_name":"Overdetermined system","score":0.6188865900039673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5871552228927612},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5162646770477295},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4820786118507385},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48064982891082764},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45988357067108154},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4310644268989563},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41403627395629883},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3969278037548065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3232002556324005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31556499004364014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08822885155677795},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0853177011013031}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7871512174606323},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6823856830596924},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.6514447331428528},{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.6188865900039673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5871552228927612},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5162646770477295},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4820786118507385},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48064982891082764},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45988357067108154},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4310644268989563},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41403627395629883},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3969278037548065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3232002556324005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31556499004364014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08822885155677795},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0853177011013031},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp48485.2024.10446368","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp48485.2024.10446368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1820680895","https://openalex.org/W1965125844","https://openalex.org/W1975505516","https://openalex.org/W2012653948","https://openalex.org/W2082074261","https://openalex.org/W2168580857","https://openalex.org/W2315925303","https://openalex.org/W2620850570","https://openalex.org/W2938476239","https://openalex.org/W2952588853","https://openalex.org/W2982087216","https://openalex.org/W3011826053","https://openalex.org/W3016039678","https://openalex.org/W3098306969","https://openalex.org/W3100170543","https://openalex.org/W3102889930","https://openalex.org/W4387870371"],"related_works":["https://openalex.org/W2041382836","https://openalex.org/W4382519919","https://openalex.org/W138713320","https://openalex.org/W3012385847","https://openalex.org/W2537671543","https://openalex.org/W67695323","https://openalex.org/W4362680359","https://openalex.org/W2381883028","https://openalex.org/W206356891","https://openalex.org/W2766318924"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,25,40,53,61,65,77,82,92,95,108,117],"external":[4,8,26,54,118],"division":[5,9,27,55,119],"operator,":[6,120],"an":[7,58],"(an":[10],"affine":[11],"combination":[12],"with":[13,132],"positive":[14],"and":[15,34,111,121,138],"negative":[16],"weights)":[17],"of":[18,43,76],"two":[19],"proximity":[20,41,62],"operators.":[21],"We":[22,49],"show":[23,71,123],"that":[24,124],"operator":[28,42,56,63],"is":[29,98],"cocoercive":[30],"under":[31,86],"some":[32,87],"condition,":[33],"it":[35],"can":[36],"be":[37],"expressed":[38],"as":[39,57],"a":[44,74],"certain":[45],"weakly":[46,83],"convex":[47,84,99],"function.":[48],"then":[50],"consider":[51],"using":[52],"alternative":[59],"to":[60,73],"in":[64,116,129,135],"proximal":[66],"gradient":[67],"algorithm,":[68],"which":[69],"we":[70,106,122],"converges":[72],"minimizer":[75],"cost":[78],"function":[79,85,97],"penalized":[80],"by":[81],"conditions.":[88],"Our":[89],"analysis":[90],"covers":[91],"case":[93],"when":[94],"fidelity":[96],"but":[100],"not":[101],"strongly":[102],"convex.":[103],"In":[104],"simulations,":[105],"employ":[107],"octagonal":[109],"shrinkage":[110],"clustering":[112],"algorithm":[113],"for":[114],"regression":[115],"significant":[125],"improvements":[126],"are":[127],"attained":[128],"signal":[130],"recovery":[131],"structured":[133],"sparsity":[134],"both":[136],"overdetermined":[137],"underdetermined":[139],"cases.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}