{"id":"https://openalex.org/W3179997351","doi":"https://doi.org/10.1109/tkde.2021.3094908","title":"Time2Graph+: Bridging Time Series and Graph Representation Learning via Multiple Attentions","display_name":"Time2Graph+: Bridging Time Series and Graph Representation Learning via Multiple Attentions","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3179997351","doi":"https://doi.org/10.1109/tkde.2021.3094908","mag":"3179997351"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2021.3094908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3094908","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data 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/A5049482514","display_name":"Ziqiang Cheng","orcid":"https://orcid.org/0000-0003-2592-8537"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]},{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqiang Cheng","raw_affiliation_strings":["Computer Science & Technology, Zhejiang University, 12377 Hangzhou, zhejiang, China, 310058 (e-mail: petecheng@zju.edu.cn)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science & Technology, Zhejiang University, 12377 Hangzhou, zhejiang, China, 310058 (e-mail: petecheng@zju.edu.cn)","institution_ids":["https://openalex.org/I168879160","https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100397616","display_name":"Yang Yang","orcid":"https://orcid.org/0000-0002-5070-4511"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]},{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Yang","raw_affiliation_strings":["College of Computer Science and Technology, Zhejiang University, Hangzhou, Zhejiang, China, 310000 (e-mail: yangya@zju.edu.cn)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University, Hangzhou, Zhejiang, China, 310000 (e-mail: yangya@zju.edu.cn)","institution_ids":["https://openalex.org/I168879160","https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037062152","display_name":"Shuo Jiang","orcid":"https://orcid.org/0000-0001-5970-7949"},"institutions":[{"id":"https://openalex.org/I4210126065","display_name":"Shanghai Electric (China)","ror":"https://ror.org/0314qy595","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210126065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuo Jiang","raw_affiliation_strings":["Jinhua power supply company, State Grid Zhejiang Electric Power Co, 306528 Jinhua, Zhejiang, China, 321000 (e-mail: 1189524@qq.com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jinhua power supply company, State Grid Zhejiang Electric Power Co, 306528 Jinhua, Zhejiang, China, 321000 (e-mail: 1189524@qq.com)","institution_ids":["https://openalex.org/I4210126065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101521916","display_name":"Wenjie Hu","orcid":"https://orcid.org/0000-0002-3688-3955"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]},{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjie Hu","raw_affiliation_strings":["Computer Science and Technology, Zhejiang University, 12377 Hangzhou, Zhejiang, China, 310058 (e-mail: aston2une@zju.edu.cn)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Technology, Zhejiang University, 12377 Hangzhou, Zhejiang, China, 310058 (e-mail: aston2une@zju.edu.cn)","institution_ids":["https://openalex.org/I168879160","https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071694539","display_name":"Zhangchi Ying","orcid":null},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]},{"id":"https://openalex.org/I4210126065","display_name":"Shanghai Electric (China)","ror":"https://ror.org/0314qy595","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210126065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhangchi Ying","raw_affiliation_strings":["Information & Telecommunication Branch, State Grid Zhejiang Electric Power Corporation, State Grid Zhejiang Electric Power Co, 306528 Hangzhou, Zhejiang, China, 310000 (e-mail: yingzhangchi@foxmail.com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information & Telecommunication Branch, State Grid Zhejiang Electric Power Corporation, State Grid Zhejiang Electric Power Co, 306528 Hangzhou, Zhejiang, China, 310000 (e-mail: yingzhangchi@foxmail.com)","institution_ids":["https://openalex.org/I17442442","https://openalex.org/I4210126065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056731969","display_name":"Ziwei Chai","orcid":"https://orcid.org/0000-0003-3532-7145"},"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":"Ziwei Chai","raw_affiliation_strings":["Computer Science, Zhejiang University, 12377 Hangzhou, Zhejiang, China, 310058 (e-mail: zwchai@zju.edu.cn)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Zhejiang University, 12377 Hangzhou, Zhejiang, China, 310058 (e-mail: zwchai@zju.edu.cn)","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038718363","display_name":"Chunping Wang","orcid":"https://orcid.org/0000-0002-3841-1919"},"institutions":[{"id":"https://openalex.org/I4210144436","display_name":"Shanghai Huayi Group (China)","ror":"https://ror.org/044f58834","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210144436"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunping Wang","raw_affiliation_strings":["0, PPDai Group Inc., Shanghai, Shanghai, China, (e-mail: wangchunping02@xinye.com)","[0, PPDai Group Inc., Shanghai, Shanghai, China, (e-mail: wangchunping02@xinye.com)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"0, PPDai Group Inc., Shanghai, Shanghai, China, (e-mail: wangchunping02@xinye.com)","institution_ids":["https://openalex.org/I4210144436"]},{"raw_affiliation_string":"[0, PPDai Group Inc., Shanghai, Shanghai, China, (e-mail: wangchunping02@xinye.com)]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.785,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.90971391,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.9851999878883362,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9661999940872192,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.814752459526062},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.7545170783996582},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5582025647163391},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5443754196166992},{"id":"https://openalex.org/keywords/bridging","display_name":"Bridging (networking)","score":0.5170819759368896},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.5010619163513184},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4681197702884674},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45845144987106323},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.42077693343162537},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3841210901737213},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.35402143001556396}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.814752459526062},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.7545170783996582},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5582025647163391},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5443754196166992},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.5170819759368896},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.5010619163513184},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4681197702884674},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45845144987106323},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.42077693343162537},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3841210901737213},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.35402143001556396},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2021.3094908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3094908","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":82,"referenced_works":["https://openalex.org/W113686067","https://openalex.org/W789250018","https://openalex.org/W1900747440","https://openalex.org/W1968354112","https://openalex.org/W1975257359","https://openalex.org/W1978371851","https://openalex.org/W1984674851","https://openalex.org/W1989037929","https://openalex.org/W1993332189","https://openalex.org/W1997102766","https://openalex.org/W2008348094","https://openalex.org/W2024300411","https://openalex.org/W2026909728","https://openalex.org/W2029438113","https://openalex.org/W2029767187","https://openalex.org/W2030863907","https://openalex.org/W2050493487","https://openalex.org/W2053186076","https://openalex.org/W2055538060","https://openalex.org/W2056724277","https://openalex.org/W2064675550","https://openalex.org/W2078765398","https://openalex.org/W2093606067","https://openalex.org/W2098216477","https://openalex.org/W2101491865","https://openalex.org/W2108482774","https://openalex.org/W2123502857","https://openalex.org/W2140143008","https://openalex.org/W2141536962","https://openalex.org/W2154851992","https://openalex.org/W2156718197","https://openalex.org/W2164274563","https://openalex.org/W2166547175","https://openalex.org/W2295598076","https://openalex.org/W2393319904","https://openalex.org/W2402972623","https://openalex.org/W2437679399","https://openalex.org/W2555077524","https://openalex.org/W2593875317","https://openalex.org/W2612872092","https://openalex.org/W2744652752","https://openalex.org/W2749874879","https://openalex.org/W2774942496","https://openalex.org/W2787927827","https://openalex.org/W2888477829","https://openalex.org/W2907492528","https://openalex.org/W2951736998","https://openalex.org/W2952254971","https://openalex.org/W2962695963","https://openalex.org/W2962756421","https://openalex.org/W2963434542","https://openalex.org/W2963460103","https://openalex.org/W2963599029","https://openalex.org/W2963858333","https://openalex.org/W2964015378","https://openalex.org/W2964308564","https://openalex.org/W2988873313","https://openalex.org/W2998010409","https://openalex.org/W2998109735","https://openalex.org/W3001025709","https://openalex.org/W3081830030","https://openalex.org/W3098588661","https://openalex.org/W3100650712","https://openalex.org/W3104097132","https://openalex.org/W3116132308","https://openalex.org/W4210257598","https://openalex.org/W4240592325","https://openalex.org/W4285719527","https://openalex.org/W4285723986","https://openalex.org/W4293651439","https://openalex.org/W4297814361","https://openalex.org/W6636350987","https://openalex.org/W6676342998","https://openalex.org/W6679434410","https://openalex.org/W6682691769","https://openalex.org/W6719357382","https://openalex.org/W6720514713","https://openalex.org/W6726873649","https://openalex.org/W6736685754","https://openalex.org/W6738964360","https://openalex.org/W6744557953","https://openalex.org/W6757925885"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W4390569940","https://openalex.org/W2888392564","https://openalex.org/W4361193272","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W2806259446","https://openalex.org/W2963326959","https://openalex.org/W4312407344","https://openalex.org/W2894289927"],"abstract_inverted_index":{"Time":[0],"series":[1,44,72,97,110,137],"modeling":[2,127],"has":[3],"attracted":[4],"great":[5],"research":[6],"interests":[7],"in":[8,185,194],"the":[9,13,31,57,66,80,108,124,152,159,169,177,191,195],"last":[10],"decades.":[11],"Among":[12],"literature,":[14],"shapelet-based":[15],"models":[16],"aim":[17],"to":[18,29,78,88,106,122,149],"extract":[19],"representative":[20],"subsequences,":[21],"and":[22,34,47,99,142,146,164,171],"could":[23],"offer":[24],"explanatory":[25],"insights.":[26],"In":[27],"order":[28],"capture":[30,151],"shapelet":[32,75,81,92,128,144],"dynamics":[33],"evolutions,":[35,129],"we":[36,133],"propose":[37],"a":[38,101,140],"novel":[39],"framework":[40,193],"of":[41,59,69,126,162,179,182,188],"bridging":[42],"time":[43,71,96,109,136],"representation":[45],"learning":[46],"graph":[48,103,119],"modeling,":[49],"with":[50],"two":[51],"different":[52],"implementations.":[53],"We":[54,113],"first":[55],"formulate":[56],"process":[58],"extracting":[60],"time-aware":[61],"shapelets,":[62],"then":[63],"briefly":[64],"introduce":[65],"key":[67],"idea":[68],"transforming":[70],"data":[73,138],"into":[74,139],"evolution":[76],"graphs,":[77],"model":[79,184],"evolutionary":[82],"patterns.":[83],"A":[84],"straightforward":[85],"solution":[86],"is":[87],"enumerate":[89],"all":[90],"possible":[91],"transitions":[93],"among":[94],"adjacent":[95],"segments,":[98],"apply":[100],"random-walk-based":[102],"embedding":[104],"algorithm":[105],"learn":[107],"representations":[111],"(Time2Graph).":[112],"further":[114],"extend":[115],"Time2Graph":[116],"by":[117,174],"adopting":[118],"attention":[120],"mechanism":[121],"refine":[123],"procedure":[125],"namely":[130],"Time2Graph+.":[131],"Specifically,":[132],"transform":[134],"each":[135],"unique":[141],"unweighted":[143],"graph,":[145],"use":[147],"GAT":[148],"automatically":[150],"correlations":[153],"between":[154],"shapelets.":[155],"Experimental":[156],"results":[157],"show":[158],"significant":[160],"improvements":[161],"Time2Graph+,":[163],"extensive":[165],"observational":[166],"analysis":[167],"demonstrate":[168],"effectiveness":[170],"interpretability":[172],"brought":[173],"attentions.":[175],"Furthermore,":[176],"success":[178],"online":[180],"deployment":[181],"Time2Graph+":[183],"State":[186],"Grid":[187],"China":[189],"validates":[190],"whole":[192],"real-world":[196],"application.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}