{"id":"https://openalex.org/W2751584934","doi":"https://doi.org/10.1109/tie.2017.2745452","title":"Linearity Evaluation and Variable Subset Partition Based Hierarchical Process Modeling and Monitoring","display_name":"Linearity Evaluation and Variable Subset Partition Based Hierarchical Process Modeling and Monitoring","publication_year":2017,"publication_date":"2017-08-28","ids":{"openalex":"https://openalex.org/W2751584934","doi":"https://doi.org/10.1109/tie.2017.2745452","mag":"2751584934"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2017.2745452","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2745452","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5027023288","display_name":"Wenqing Li","orcid":"https://orcid.org/0000-0001-5612-9899"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqing Li","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038929132","display_name":"Chunhui Zhao","orcid":"https://orcid.org/0000-0002-0254-5763"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunhui Zhao","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0254-5763","affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":null,"display_name":"Furong Gao","orcid":"https://orcid.org/0000-0001-5612-9899"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Furong Gao","raw_affiliation_strings":["Department of Chemical and Biomolecular Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0001-5612-9899","affiliations":[{"raw_affiliation_string":"Department of Chemical and Biomolecular Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.6772,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.98530357,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"65","issue":"3","first_page":"2683","last_page":"2692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T12282","display_name":"Mineral Processing and Grinding","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/linearity","display_name":"Linearity","score":0.6674781441688538},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.663121223449707},{"id":"https://openalex.org/keywords/fault-detection-and-isolation","display_name":"Fault detection and isolation","score":0.6257789134979248},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6012135744094849},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5476821660995483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5244013071060181},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5146502256393433},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5124316811561584},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.4988279342651367},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.40605005621910095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36232423782348633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3358575701713562},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3027215301990509},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2917098104953766},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.153334379196167}],"concepts":[{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.6674781441688538},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.663121223449707},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.6257789134979248},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6012135744094849},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5476821660995483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5244013071060181},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5146502256393433},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5124316811561584},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.4988279342651367},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.40605005621910095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36232423782348633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3358575701713562},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3027215301990509},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2917098104953766},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.153334379196167},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tie.2017.2745452","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2745452","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-88326","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-88326","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G1712533027","display_name":"\u95f4\u6b47\u8fc7\u7a0b\u9ad8\u6548\u8fd0\u884c\u7684\u5efa\u6a21\u63a7\u5236\u65b9\u6cd5\u53ca\u5e94\u7528","funder_award_id":"61433005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7339505174","display_name":null,"funder_award_id":"61422306","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W390771207","https://openalex.org/W616009543","https://openalex.org/W1992707230","https://openalex.org/W1994505190","https://openalex.org/W2000858991","https://openalex.org/W2010627116","https://openalex.org/W2014507035","https://openalex.org/W2039243482","https://openalex.org/W2045925085","https://openalex.org/W2052184082","https://openalex.org/W2057283314","https://openalex.org/W2063823978","https://openalex.org/W2077791644","https://openalex.org/W2100495367","https://openalex.org/W2101528733","https://openalex.org/W2122538988","https://openalex.org/W2122825543","https://openalex.org/W2142704389","https://openalex.org/W2152820192","https://openalex.org/W2158958729","https://openalex.org/W2201427885","https://openalex.org/W2275317293","https://openalex.org/W2441266639","https://openalex.org/W2503993098","https://openalex.org/W2510295119","https://openalex.org/W2514088303","https://openalex.org/W2552112078","https://openalex.org/W2561662420","https://openalex.org/W2600318314","https://openalex.org/W2620876433","https://openalex.org/W2678047622","https://openalex.org/W2741373064","https://openalex.org/W2744481029","https://openalex.org/W2751258513","https://openalex.org/W4253930725"],"related_works":["https://openalex.org/W2023858428","https://openalex.org/W4247324130","https://openalex.org/W2538259895","https://openalex.org/W2126963364","https://openalex.org/W2051287254","https://openalex.org/W2370937376","https://openalex.org/W2218509615","https://openalex.org/W1489573155","https://openalex.org/W2348662850","https://openalex.org/W4293868490"],"abstract_inverted_index":{"Complex":[0],"industrial":[1,170],"processes":[2,76],"may":[3,65],"be":[4],"formulated":[5],"with":[6,77],"hybrid":[7,34,78],"correlations,":[8,79,150],"indicating":[9],"that":[10],"linear":[11,48,97,119,136],"and":[12,36,70,86,93,121,138,144,160,169],"nonlinear":[13,50,103,122,139],"relationships":[14],"simultaneously":[15],"exist":[16],"among":[17],"process":[18,25,58,158],"variables,":[19],"which":[20,46,64],"brings":[21],"great":[22],"challenges":[23],"for":[24,74],"monitoring.":[26],"However,":[27],"previous":[28],"work":[29],"did":[30],"not":[31],"consider":[32],"the":[33,39,67,151,163],"correlations":[35],"treated":[37],"all":[38],"variables":[40],"as":[41],"a":[42,83,128],"single":[43,47],"subject":[44],"in":[45,124],"or":[49,60],"analysis":[51],"method":[52,153],"was":[53],"employed":[54],"based":[55,90],"on":[56],"prior":[57],"knowledge":[59],"some":[61],"evaluation":[62,85,110],"results,":[63],"degrade":[66],"model":[68],"accuracy":[69],"monitoring":[71,94,130],"performance.":[72],"Therefore,":[73],"complex":[75],"this":[80],"paper":[81],"proposes":[82],"linearity":[84],"variable":[87,98,108,149],"subset":[88],"partition":[89],"hierarchical":[91,113,129],"modeling":[92,145],"method.":[95],"First,":[96],"subsets":[99,104],"are":[100,115,172],"separated":[101],"from":[102],"through":[105],"an":[106],"iterative":[107],"correlation":[109],"procedure.":[111],"Second,":[112],"models":[114],"developed":[116],"to":[117,134,174],"capture":[118],"patterns":[120,123],"different":[125,146],"levels.":[126],"Third,":[127],"strategy":[131],"is":[132],"proposed":[133,152],"monitor":[135],"feature":[137,140],"separately.":[141],"By":[142],"separating":[143],"types":[147],"of":[148],"can":[154],"explore":[155],"more":[156],"accurate":[157],"characteristics":[159],"thus":[161],"improve":[162],"fault":[164],"detection":[165],"ability.":[166],"Numerical":[167],"examples":[168],"applications":[171],"presented":[173],"illustrate":[175],"its":[176],"efficiency.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":4}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}
