{"id":"https://openalex.org/W4414300980","doi":"https://doi.org/10.3389/fams.2025.1594873","title":"Plug-and-play low-rank tensor completion and reconstruction algorithms with improved applicability of tensor decompositions","display_name":"Plug-and-play low-rank tensor completion and reconstruction algorithms with improved applicability of tensor decompositions","publication_year":2025,"publication_date":"2025-09-17","ids":{"openalex":"https://openalex.org/W4414300980","doi":"https://doi.org/10.3389/fams.2025.1594873"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2025.1594873","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2025.1594873","pdf_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2025.1594873/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2025.1594873/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110488049","display_name":"M. Mukai","orcid":null},"institutions":[{"id":"https://openalex.org/I197274945","display_name":"Nagoya Institute of Technology","ror":"https://ror.org/055yf1005","country_code":"JP","type":"education","lineage":["https://openalex.org/I197274945"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Manabu Mukai","raw_affiliation_strings":["Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan","institution_ids":["https://openalex.org/I197274945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031879419","display_name":"Hidekata Hontani","orcid":"https://orcid.org/0000-0001-9081-7740"},"institutions":[{"id":"https://openalex.org/I197274945","display_name":"Nagoya Institute of Technology","ror":"https://ror.org/055yf1005","country_code":"JP","type":"education","lineage":["https://openalex.org/I197274945"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hidekata Hontani","raw_affiliation_strings":["Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan","institution_ids":["https://openalex.org/I197274945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086158953","display_name":"Tatsuya Yokota","orcid":null},"institutions":[{"id":"https://openalex.org/I197274945","display_name":"Nagoya Institute of Technology","ror":"https://ror.org/055yf1005","country_code":"JP","type":"education","lineage":["https://openalex.org/I197274945"]},{"id":"https://openalex.org/I4210126580","display_name":"RIKEN Center for Advanced Intelligence Project","ror":"https://ror.org/03ckxwf91","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652","https://openalex.org/I4210126580"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tatsuya Yokota","raw_affiliation_strings":["Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan","RIKEN Center for Advanced Intelligence Project, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan","institution_ids":["https://openalex.org/I197274945"]},{"raw_affiliation_string":"RIKEN Center for Advanced Intelligence Project, Tokyo, Japan","institution_ids":["https://openalex.org/I4210126580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086158953"],"corresponding_institution_ids":["https://openalex.org/I197274945","https://openalex.org/I4210126580"],"apc_list":{"value":1285,"currency":"USD","value_usd":1285},"apc_paid":{"value":1285,"currency":"USD","value_usd":1285},"fwci":1.5775,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.84954751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"11","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9990000128746033,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5982999801635742},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5055000185966492},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4700999855995178},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.43790000677108765},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.37130001187324524},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.36629998683929443},{"id":"https://openalex.org/keywords/optimization-algorithm","display_name":"Optimization algorithm","score":0.33219999074935913}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6708999872207642},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5982999801635742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5552999973297119},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5055000185966492},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4700999855995178},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.43790000677108765},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3855000138282776},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.36629998683929443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3495999872684479},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.2906000018119812},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C90952326","wikidata":"https://www.wikidata.org/wiki/Q3650511","display_name":"Tensor calculus","level":4,"score":0.26089999079704285},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2025.1594873","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2025.1594873","pdf_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2025.1594873/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:19a9f6a9ce0e457c97ac7e29d0d51f4a","is_oa":true,"landing_page_url":"https://doaj.org/article/19a9f6a9ce0e457c97ac7e29d0d51f4a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Applied Mathematics and Statistics, Vol 11 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2025.1594873","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2025.1594873","pdf_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2025.1594873/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1079151630","display_name":"Optimization Theories, Algorithms, and Interfeces for General Tensor Decompositions","funder_award_id":"23K28109","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414300980.pdf","grobid_xml":"https://content.openalex.org/works/W4414300980.grobid-xml"},"referenced_works_count":96,"referenced_works":["https://openalex.org/W792141054","https://openalex.org/W1539811621","https://openalex.org/W1568416770","https://openalex.org/W1594523130","https://openalex.org/W1814521481","https://openalex.org/W1846534543","https://openalex.org/W1850275953","https://openalex.org/W1878057855","https://openalex.org/W1946620893","https://openalex.org/W1963826206","https://openalex.org/W1968154520","https://openalex.org/W1986326495","https://openalex.org/W1989881099","https://openalex.org/W1990231296","https://openalex.org/W1991042426","https://openalex.org/W1993482030","https://openalex.org/W2000045479","https://openalex.org/W2000215628","https://openalex.org/W2014466433","https://openalex.org/W2014617517","https://openalex.org/W2018282388","https://openalex.org/W2020641160","https://openalex.org/W2024165284","https://openalex.org/W2030927653","https://openalex.org/W2030928609","https://openalex.org/W2031216664","https://openalex.org/W2033560557","https://openalex.org/W2038198231","https://openalex.org/W2038891887","https://openalex.org/W2039284087","https://openalex.org/W2049633694","https://openalex.org/W2050968963","https://openalex.org/W2053742104","https://openalex.org/W2058532290","https://openalex.org/W2066792693","https://openalex.org/W2069214509","https://openalex.org/W2075427932","https://openalex.org/W2078677240","https://openalex.org/W2081962379","https://openalex.org/W2091449379","https://openalex.org/W2103972604","https://openalex.org/W2105345414","https://openalex.org/W2108119513","https://openalex.org/W2108837778","https://openalex.org/W2108840817","https://openalex.org/W2119412403","https://openalex.org/W2135029798","https://openalex.org/W2141280932","https://openalex.org/W2149414429","https://openalex.org/W2157120783","https://openalex.org/W2162171343","https://openalex.org/W2165395308","https://openalex.org/W2166800808","https://openalex.org/W2210084516","https://openalex.org/W2258054274","https://openalex.org/W2262946425","https://openalex.org/W2297975612","https://openalex.org/W2342432191","https://openalex.org/W2404400936","https://openalex.org/W2412278696","https://openalex.org/W2431890537","https://openalex.org/W2508393166","https://openalex.org/W2611328865","https://openalex.org/W2884037738","https://openalex.org/W2951085447","https://openalex.org/W2962853966","https://openalex.org/W2962915592","https://openalex.org/W2963634612","https://openalex.org/W2963885538","https://openalex.org/W2987283719","https://openalex.org/W2998656915","https://openalex.org/W3005990752","https://openalex.org/W3020111007","https://openalex.org/W3040978858","https://openalex.org/W3098683815","https://openalex.org/W3099910538","https://openalex.org/W3101457173","https://openalex.org/W3103400026","https://openalex.org/W3105062367","https://openalex.org/W3105774572","https://openalex.org/W3114089334","https://openalex.org/W3130401643","https://openalex.org/W3171243408","https://openalex.org/W3173891418","https://openalex.org/W3195150889","https://openalex.org/W4206114047","https://openalex.org/W4214526161","https://openalex.org/W4221156003","https://openalex.org/W4244393449","https://openalex.org/W4285799148","https://openalex.org/W4292363360","https://openalex.org/W4312641777","https://openalex.org/W4383000071","https://openalex.org/W4391406967","https://openalex.org/W4391798166","https://openalex.org/W4404987128"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,76,98,114],"new":[6],"unified":[7],"optimization":[8,72],"algorithm":[9,34,73,95],"for":[10,24],"general":[11,28],"tensor":[12],"completion":[13],"and":[14,48,52,64,87,103],"reconstruction":[15],"problems,":[16],"which":[17],"is":[18],"formulated":[19],"as":[20],"an":[21],"inverse":[22],"problem":[23],"low-rank":[25],"tensors":[26],"in":[27,113],"linear":[29],"observation":[30],"models.":[31],"The":[32],"proposed":[33,94],"supports":[35],"at":[36],"least":[37],"three":[38],"basic":[39],"loss":[40],"functions":[41],"(\u2113":[42],"2":[43],"loss,":[44,47],"\u2113":[45],"1":[46],"generalized":[49],"KL":[50],"divergence)":[51],"various":[53],"TD":[54,67,111],"models":[55],"(CP,":[56],"Tucker,":[57],"TT,":[58],"TR":[59],"decompositions,":[60],"non-negative":[61],"matrix/tensor":[62],"factorizations,":[63],"other":[65],"constrained":[66],"models).":[68],"We":[69,90],"derive":[70],"the":[71,80,93],"based":[74],"on":[75],"hierarchical":[77],"combination":[78],"of":[79,84,101],"alternating":[81],"direction":[82],"method":[83],"multipliers":[85],"(ADMM)":[86],"majorization-minimization":[88],"(MM).":[89],"show":[91],"that":[92],"can":[96,104],"solve":[97],"wide":[99],"range":[100],"applications":[102],"be":[105],"easily":[106],"extended":[107],"to":[108],"any":[109],"established":[110],"model":[112],"plug-and-play":[115],"manner.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
