{"id":"https://openalex.org/W3184747521","doi":"https://doi.org/10.1109/tase.2021.3096964","title":"Additive Tensor Decomposition Considering Structural Data Information","display_name":"Additive Tensor Decomposition Considering Structural Data Information","publication_year":2021,"publication_date":"2021-07-26","ids":{"openalex":"https://openalex.org/W3184747521","doi":"https://doi.org/10.1109/tase.2021.3096964","mag":"3184747521"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2021.3096964","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2021.3096964","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5067794264","display_name":"Shancong Mou","orcid":"https://orcid.org/0000-0003-2481-3308"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shancong Mou","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100665239","display_name":"Andi Wang","orcid":"https://orcid.org/0000-0003-4925-1962"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andi Wang","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067712887","display_name":"Chuck Zhang","orcid":"https://orcid.org/0000-0001-7681-5538"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I4210104624","display_name":"Manufacturing Institute","ror":"https://ror.org/027wewa02","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210104624"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chuck Zhang","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","Georgia Tech Manufacturing Institute, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Georgia Tech Manufacturing Institute, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444","https://openalex.org/I4210104624"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022416209","display_name":"Jianjun Shi","orcid":"https://orcid.org/0000-0002-3774-9176"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianjun Shi","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067794264"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":2.1461,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.8814994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"4","first_page":"2904","last_page":"2917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9965999722480774,"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":0.9965999722480774,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9872999787330627,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9836999773979187,"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/tensor","display_name":"Tensor (intrinsic definition)","score":0.6091956496238708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5817519426345825},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.48390325903892517},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4615737199783325},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41565147042274475},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3266954720020294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3264656066894531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2896510362625122}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6091956496238708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5817519426345825},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.48390325903892517},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4615737199783325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41565147042274475},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3266954720020294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3264656066894531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2896510362625122},{"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2021.3096964","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2021.3096964","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W151895561","https://openalex.org/W1480376833","https://openalex.org/W1827806256","https://openalex.org/W1988514683","https://openalex.org/W2003099669","https://openalex.org/W2003370853","https://openalex.org/W2007916462","https://openalex.org/W2017404123","https://openalex.org/W2024165284","https://openalex.org/W2067191022","https://openalex.org/W2088886701","https://openalex.org/W2091741383","https://openalex.org/W2095303958","https://openalex.org/W2096579040","https://openalex.org/W2113076747","https://openalex.org/W2133059825","https://openalex.org/W2140514146","https://openalex.org/W2145962650","https://openalex.org/W2167834874","https://openalex.org/W2169360298","https://openalex.org/W2342910067","https://openalex.org/W2434624005","https://openalex.org/W2588612844","https://openalex.org/W2732344316","https://openalex.org/W2734129016","https://openalex.org/W2768299341","https://openalex.org/W2795794298","https://openalex.org/W2895548892","https://openalex.org/W2906621894","https://openalex.org/W3037547291","https://openalex.org/W4244393449","https://openalex.org/W6717564037"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2053286651","https://openalex.org/W2385263368","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2347422947"],"abstract_inverted_index":{"Tensor":[0],"data":[1,179],"with":[2,107],"rich":[3],"structural":[4,22,63,74,109],"information":[5,23,28,43,75,91],"become":[6],"increasingly":[7],"important":[8],"in":[9,15,76,144,167,213,255],"process":[10],"modeling,":[11,224],"monitoring,":[12,225],"and":[13,18,37,128,139,151,207,226,231,259,276,290,295],"diagnosis":[14,227],"manufacturing":[16],"medical":[17,145,168,215],"other":[19,214],"applications.":[20],"Here":[21],"is":[24,119,125,194,285],"referred":[25],"to":[26,49,88,103,121,158,195,203,236,279,287],"the":[27,51,54,105,132,149,154,177,188,222,242,249,253,257,271],"of":[29,56,73,115,153,187,228,241,244,252,270,273],"tensor":[30,45,52,77,84,93,178],"components":[31,58,106,201],"such":[32],"as":[33,219,221],"sparsity,":[34],"smoothness,":[35],"low-rank,":[36],"piecewise":[38],"constancy.":[39],"To":[40],"reveal":[41],"useful":[42,90],"from":[44,92,176,181],"data,":[46],"we":[47,68,265],"propose":[48,81],"decompose":[50,196],"into":[53,199],"summation":[55],"multiple":[57,200],"based":[59],"on":[60],"their":[61],"different":[62],"information.":[64,110],"In":[65,262],"this":[66,263],"article,":[67,264],"provide":[69,266],"a":[70,98,140,164,238,267,281],"new":[71],"definition":[72],"data.":[78,94],"We":[79],"then":[80],"an":[82],"additive":[83],"decomposition":[85,282],"(ATD)":[86],"framework":[87,96],"extract":[89],"This":[95],"specifies":[97],"high":[99],"dimensional":[100],"optimization":[101,134],"problem":[102],"obtain":[104],"distinct":[108],"An":[111],"alternating":[112],"direction":[113],"method":[114],"multipliers":[116],"(ADMM)":[117],"algorithm":[118],"proposed":[120,133],"solve":[122],"it,":[123],"which":[124],"highly":[126],"parallelable":[127],"thus":[129],"suitable":[130],"for":[131],"problem.":[135],"Two":[136],"simulation":[137],"examples":[138],"real":[141,165],"case":[142,166],"study":[143],"image":[146,185,197,216,245,274],"analysis":[147,217],"illustrate":[148],"versatility":[150],"effectiveness":[152],"ATD":[155],"framework.":[156,283],"Note":[157],"Practitioners\u2014This":[159],"article":[160],"was":[161],"motivated":[162],"by":[163],"imaging:":[169],"extracting":[170],"aortic":[171,189],"valve":[172],"calcification":[173],"(AVC)":[174],"regions":[175],"obtained":[180],"computed":[182],"tomography":[183],"(CT)":[184],"series":[186,198,246,275],"region.":[190],"The":[191],"main":[192],"objective":[193],"corresponding":[202],"tissues,":[204],"calcium":[205],"deposition,":[206],"error.":[208],"Similar":[209],"needs":[210],"are":[211],"pervasive":[212],"applications":[218,289],"well":[220],"image-based":[223],"industrial":[229],"processes":[230],"systems.":[232],"Existing":[233],"methods":[234],"fail":[235],"incorporate":[237],"detailed":[239],"description":[240,269],"properties":[243,272],"that":[247],"reflect":[248],"physical":[250],"understanding":[251],"system":[254],"both":[256],"spatial":[258],"temporal":[260],"domains.":[261],"systematic":[268],"use":[277],"them":[278],"develop":[280],"It":[284],"applicable":[286],"various":[288],"can":[291],"generate":[292],"more":[293],"accurate":[294],"interpretable":[296],"results.":[297]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}