{"id":"https://openalex.org/W4393864479","doi":"https://doi.org/10.1109/tim.2024.3384567","title":"Graph Embedding-Based Multilinear Subspace Analysis of State Ensembles in Gas\u2013Liquid Flow","display_name":"Graph Embedding-Based Multilinear Subspace Analysis of State Ensembles in Gas\u2013Liquid Flow","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4393864479","doi":"https://doi.org/10.1109/tim.2024.3384567"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2024.3384567","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tim.2024.3384567","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","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/A5036014061","display_name":"Z. Y. Li","orcid":"https://orcid.org/0009-0003-2036-3503"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao Li","raw_affiliation_strings":["Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0009-0003-2036-3503","affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068911557","display_name":"Chao Tan","orcid":"https://orcid.org/0000-0001-5146-4807"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Tan","raw_affiliation_strings":["Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-5146-4807","affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087981683","display_name":"Shumei Zhang","orcid":"https://orcid.org/0000-0002-9829-0776"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shumei Zhang","raw_affiliation_strings":["Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-9829-0776","affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025279788","display_name":"Feng Dong","orcid":"https://orcid.org/0000-0002-8478-8928"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Dong","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-8478-8928","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":null,"apc_paid":null,"fwci":0.2778,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57678543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"73","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9700999855995178,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9700999855995178,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9571999907493591,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12603","display_name":"NMR spectroscopy and applications","score":0.9480999708175659,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.7128295302391052},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6720620393753052},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5555741786956787},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47797390818595886},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4276546239852905},{"id":"https://openalex.org/keywords/graph-embedding","display_name":"Graph embedding","score":0.42444950342178345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37519973516464233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3737432360649109},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33440539240837097},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.327436625957489},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3207656443119049},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27673062682151794},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23922574520111084},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15193942189216614},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14952009916305542}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.7128295302391052},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6720620393753052},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5555741786956787},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47797390818595886},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4276546239852905},{"id":"https://openalex.org/C75564084","wikidata":"https://www.wikidata.org/wiki/Q5597085","display_name":"Graph embedding","level":3,"score":0.42444950342178345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37519973516464233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3737432360649109},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33440539240837097},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.327436625957489},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3207656443119049},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27673062682151794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23922574520111084},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15193942189216614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14952009916305542}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2024.3384567","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tim.2024.3384567","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1864427146","display_name":null,"funder_award_id":"51976137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4303063934","display_name":null,"funder_award_id":"61903272","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":26,"referenced_works":["https://openalex.org/W2008114373","https://openalex.org/W2019316073","https://openalex.org/W2024165284","https://openalex.org/W2091328348","https://openalex.org/W2113055885","https://openalex.org/W2160551639","https://openalex.org/W2579271271","https://openalex.org/W2796410983","https://openalex.org/W2903576376","https://openalex.org/W2949917339","https://openalex.org/W3016075648","https://openalex.org/W3049349475","https://openalex.org/W3095189068","https://openalex.org/W3126611950","https://openalex.org/W3131633592","https://openalex.org/W3167293389","https://openalex.org/W3195520411","https://openalex.org/W3214753197","https://openalex.org/W4226018848","https://openalex.org/W4286444778","https://openalex.org/W4319993283","https://openalex.org/W4327808375","https://openalex.org/W4367663440","https://openalex.org/W4384158708","https://openalex.org/W6679591791","https://openalex.org/W6682644385"],"related_works":["https://openalex.org/W3036264823","https://openalex.org/W3206528106","https://openalex.org/W2912814903","https://openalex.org/W2123605750","https://openalex.org/W2088740331","https://openalex.org/W3038102983","https://openalex.org/W2950907416","https://openalex.org/W1559483280","https://openalex.org/W2082479932","https://openalex.org/W2932872266"],"abstract_inverted_index":{"The":[0,156],"process":[1],"states":[2,86,117],"in":[3,27,53,68,118,172],"gas\u2013liquid":[4,69,173],"flow":[5,18,41,70,85,89,116,140,154,174,177,191],"are":[6,196],"the":[7,37,47,92,111,122,159,184,200,203],"synthetical":[8],"consequence":[9],"of":[10,40,65,84,94,114,139,158,167,186,202],"multiple":[11],"apparent":[12,188],"factors":[13,49,189],"related":[14],"to":[15,35,80,108,162,198],"time,":[16,151],"space,":[17,127,152],"conditions,":[19],"and":[20,153,169],"so":[21],"on.":[22],"Higher":[23],"order":[24,129],"tensor":[25,97,137],"decomposition":[26,132],"multilinear":[28,61],"algebra":[29],"provides":[30],"a":[31,56,180],"powerful":[32],"framework":[33],"mathematically":[34],"analyze":[36],"multifactor":[38],"structure":[39],"state":[42,66,141,149,165,192],"ensembles.":[43],"Focusing":[44],"on":[45,183],"entangling":[46],"constitute":[48],"or":[50],"modes":[51],"embedded":[52],"various":[54,115],"states,":[55],"novel":[57],"strategy":[58,160],"about":[59],"graph-embedding-based":[60],"subspace":[62],"analysis":[63,138],"(MSA)":[64],"ensembles":[67,142],"is":[71,78,103,134,161],"proposed.":[72],"Pulse-wave":[73],"ultrasonic":[74],"Doppler":[75],"(PWUD)":[76],"sensor":[77],"adopted":[79],"acquire":[81],"spatiotemporal":[82],"information":[83],"under":[87,175],"varying":[88,176],"conditions.":[90,155],"Under":[91],"architecture":[93],"graph":[95,124],"embedding,":[96],"dynamic":[98],"local":[99],"preservation":[100],"projection":[101],"(TDLPP)":[102],"constructed":[104],"via":[105],"PWUD":[106],"signal":[107],"further":[109,163],"describe":[110],"latent":[112,126],"characteristics":[113],"time\u2013space":[119],"dimensions.":[120],"In":[121],"reconstructed":[123],"embedding":[125],"higher":[128],"singular":[130],"value":[131],"(HOSVD)":[133],"used":[135],"for":[136],"that":[143],"combine":[144],"several":[145],"modes,":[146],"including":[147],"different":[148],"categories,":[150],"purpose":[157],"achieve":[164],"monitoring":[166],"typical":[168],"transitional":[170],"processes":[171],"conditions":[178],"with":[179],"simple":[181],"sensor,":[182],"foundation":[185],"refining":[187],"underlying":[190],"formation.":[193],"Dynamic":[194],"experiments":[195],"designed":[197],"verify":[199],"effectiveness":[201],"proposed":[204],"scheme.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}