{"id":"https://openalex.org/W4385819932","doi":"https://doi.org/10.1109/tsp.2023.3304789","title":"Variable-Wise Diagonal Preconditioning for Primal-Dual Splitting: Design and Applications","display_name":"Variable-Wise Diagonal Preconditioning for Primal-Dual Splitting: Design and Applications","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385819932","doi":"https://doi.org/10.1109/tsp.2023.3304789"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3304789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3304789","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","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/A5086289349","display_name":"Kazuki Naganuma","orcid":"https://orcid.org/0000-0002-7180-3017"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kazuki Naganuma","raw_affiliation_strings":["Department of Computer Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-7180-3017","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040341698","display_name":"Shunsuke Ono","orcid":"https://orcid.org/0000-0001-7890-5131"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunsuke Ono","raw_affiliation_strings":["Department of Computer Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":"https://orcid.org/0000-0001-7890-5131","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086289349"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":3.5199,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.93491595,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"71","issue":null,"first_page":"3281","last_page":"3295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/diagonal","display_name":"Diagonal","score":0.714584469795227},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5667089819908142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5393452644348145},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5300887227058411},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5198248624801636},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.5107288360595703},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46932098269462585},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44979381561279297},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41752031445503235},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4100533723831177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3787972331047058},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.32496383786201477},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.21915191411972046}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.714584469795227},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5667089819908142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5393452644348145},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5300887227058411},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5198248624801636},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.5107288360595703},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46932098269462585},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44979381561279297},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41752031445503235},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4100533723831177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3787972331047058},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.32496383786201477},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.21915191411972046},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2023.3304789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3304789","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W1497214886","https://openalex.org/W1547941176","https://openalex.org/W1580449172","https://openalex.org/W1667895010","https://openalex.org/W1686180572","https://openalex.org/W1922442141","https://openalex.org/W1991252559","https://openalex.org/W1998991750","https://openalex.org/W1999829977","https://openalex.org/W2005089986","https://openalex.org/W2009745212","https://openalex.org/W2016673825","https://openalex.org/W2021721734","https://openalex.org/W2027878671","https://openalex.org/W2060945009","https://openalex.org/W2063790512","https://openalex.org/W2092663520","https://openalex.org/W2096971955","https://openalex.org/W2098921581","https://openalex.org/W2100556411","https://openalex.org/W2101491865","https://openalex.org/W2114423093","https://openalex.org/W2123031198","https://openalex.org/W2158449358","https://openalex.org/W2183572835","https://openalex.org/W2289756263","https://openalex.org/W2342750892","https://openalex.org/W2491337109","https://openalex.org/W2510358906","https://openalex.org/W2523352299","https://openalex.org/W2567630668","https://openalex.org/W2593801909","https://openalex.org/W2594827121","https://openalex.org/W2620976957","https://openalex.org/W2734839255","https://openalex.org/W2782517596","https://openalex.org/W2790528326","https://openalex.org/W2796431263","https://openalex.org/W2805465265","https://openalex.org/W2941677189","https://openalex.org/W2962770389","https://openalex.org/W2962863128","https://openalex.org/W2978118767","https://openalex.org/W2979001238","https://openalex.org/W2990495891","https://openalex.org/W2992599411","https://openalex.org/W3009028712","https://openalex.org/W3009562877","https://openalex.org/W3011687044","https://openalex.org/W3021083191","https://openalex.org/W3023841811","https://openalex.org/W3035497236","https://openalex.org/W3047002475","https://openalex.org/W3095079835","https://openalex.org/W3098388691","https://openalex.org/W3099748020","https://openalex.org/W3100820186","https://openalex.org/W3118876559","https://openalex.org/W3128266486","https://openalex.org/W3131515870","https://openalex.org/W3199351457","https://openalex.org/W3207822085","https://openalex.org/W4226369898","https://openalex.org/W4233760599","https://openalex.org/W4244393449","https://openalex.org/W4285119471","https://openalex.org/W4286377574","https://openalex.org/W4294106839","https://openalex.org/W4312342678","https://openalex.org/W4394007378","https://openalex.org/W6629852587","https://openalex.org/W6686068692","https://openalex.org/W6774483595"],"related_works":["https://openalex.org/W2756132392","https://openalex.org/W3035814349","https://openalex.org/W4285101096","https://openalex.org/W4320477335","https://openalex.org/W2518949622","https://openalex.org/W2084892497","https://openalex.org/W4382725876","https://openalex.org/W2115614142","https://openalex.org/W2275184629","https://openalex.org/W1561889708"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,10,32,69,151],"method":[4,14,34,50,116],"for":[5,9,75,142],"designing":[6],"diagonal":[7,125],"preconditioners":[8,42,126,167],"preconditioned":[11],"primal-dual":[12],"splitting":[13],"(P-PDS),":[15],"an":[16,91,112],"efficient":[17],"algorithm":[18],"that":[19,56,88,165],"solves":[20],"nonsmooth":[21],"convex":[22],"optimization":[23],"problems.":[24],"To":[25,106],"speed":[26],"up":[27],"the":[28,44,48,132,140,169,177],"convergence":[29,170],"of":[30,62,99,117,131,135,172,181,189],"P-PDS,":[31],"design":[33,115],"has":[35,51],"been":[36],"proposed":[37],"to":[38,185],"automatically":[39],"determine":[40],"appropriate":[41],"from":[43],"problem":[45],"structure.":[46],"However,":[47],"existing":[49],"two":[52],"limitations.":[53],"One":[54],"is":[55,73,87],"it":[57,89,155],"directly":[58],"accesses":[59],"all":[60],"elements":[61],"matrices":[63],"representing":[64],"linear":[65,77,136],"operators":[66,78,101],"involved":[67],"in":[68],"given":[70],"problem,":[71],"which":[72,95],"inconvenient":[74],"handling":[76],"implemented":[79],"as":[80],"procedures":[81],"rather":[82],"than":[83],"matrices.":[84],"The":[85],"other":[86],"takes":[90,150],"element-wise":[92],"preconditioning":[93,153],"approach,":[94,154],"turns":[96],"certain":[97],"types":[98],"proximity":[100,158],"into":[102],"analytically":[103,160],"intractable":[104],"forms.":[105],"overcome":[107],"these":[108],"limitations,":[109],"we":[110,175],"establish":[111],"Operator":[113],"norm-based":[114],"Variable-wise":[118],"Diagonal":[119],"Preconditioning":[120],"(OVDP).":[121],"First,":[122],"OVDP":[123,149,182],"constructs":[124],"using":[127],"only":[128],"(upper":[129],"bounds)":[130],"operator":[133,159],"norms":[134],"operators,":[137],"thus":[138],"eliminating":[139],"need":[141],"their":[143],"explicit":[144],"matrix":[145],"representations.":[146],"Furthermore,":[147],"since":[148],"variable-wise":[152],"keeps":[156],"any":[157],"computable.":[161],"We":[162],"also":[163],"prove":[164],"our":[166],"satisfy":[168],"condition":[171],"P-PDS.":[173],"Finally,":[174],"demonstrate":[176],"effectiveness":[178],"and":[179,194],"usefulness":[180],"through":[183],"applications":[184],"mixed":[186],"noise":[187],"removal":[188],"hyperspectral":[190,192],"images,":[191],"unmixing,":[193],"graph":[195],"signal":[196],"recovery.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}