{"id":"https://openalex.org/W4409796428","doi":"https://doi.org/10.1109/jiot.2025.3560654","title":"Fractional Position With Predictive Attention for Multivariate Time Series Forecasting","display_name":"Fractional Position With Predictive Attention for Multivariate Time Series Forecasting","publication_year":2025,"publication_date":"2025-04-25","ids":{"openalex":"https://openalex.org/W4409796428","doi":"https://doi.org/10.1109/jiot.2025.3560654"},"language":"en","primary_location":{"id":"doi:10.1109/jiot.2025.3560654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jiot.2025.3560654","pdf_url":null,"source":{"id":"https://openalex.org/S2480266640","display_name":"IEEE Internet of Things Journal","issn_l":"2327-4662","issn":["2327-4662","2372-2541"],"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 Internet of Things Journal","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/A5110945747","display_name":"Chengli Zhou","orcid":"https://orcid.org/0000-0002-2852-7096"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengli Zhou","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":"https://orcid.org/0000-0002-2852-7096","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100420247","display_name":"Yanhong Li","orcid":"https://orcid.org/0000-0002-0961-7870"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhong Li","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089505818","display_name":"Junjie Ye","orcid":"https://orcid.org/0000-0002-3391-7582"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjie Ye","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":"https://orcid.org/0000-0002-3391-7582","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062891953","display_name":"Yanli Zhou","orcid":"https://orcid.org/0000-0002-7582-5846"},"institutions":[{"id":"https://openalex.org/I13850615","display_name":"Kunming Institute of Botany","ror":"https://ror.org/02e5hx313","country_code":"CN","type":"facility","lineage":["https://openalex.org/I13850615","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanli Zhou","raw_affiliation_strings":["Germplasm Bank of Wild Species, Kunming Institute of Botany, Chinese Academy of Sciences, Kunming, Yunnan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Germplasm Bank of Wild Species, Kunming Institute of Botany, Chinese Academy of Sciences, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I13850615","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101777434","display_name":"Xiaojun Zhou","orcid":"https://orcid.org/0000-0002-4509-3525"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojun Zhou","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036052364","display_name":"Yaqun Huang","orcid":"https://orcid.org/0000-0002-5854-5033"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqun Huang","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067600725","display_name":"Dapeng Tao","orcid":"https://orcid.org/0000-0003-0783-5273"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dapeng Tao","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":"https://orcid.org/0000-0003-0783-5273","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064228651","display_name":"Chunna Zhao","orcid":"https://orcid.org/0000-0002-0019-1041"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunna Zhao","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China"],"raw_orcid":"https://orcid.org/0000-0002-0019-1041","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming, Yunnan, China","institution_ids":["https://openalex.org/I189210763"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6264,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94061386,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"12","issue":"14","first_page":"26430","last_page":"26443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11918","display_name":"Forecasting Techniques and Applications","score":0.9524999856948853,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11918","display_name":"Forecasting Techniques and Applications","score":0.9524999856948853,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7051652073860168},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6842186450958252},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6493239402770996},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.6376197934150696},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5322936177253723},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41627028584480286},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.34570449590682983},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3288726806640625}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7051652073860168},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6842186450958252},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6493239402770996},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.6376197934150696},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5322936177253723},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41627028584480286},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34570449590682983},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3288726806640625},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jiot.2025.3560654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jiot.2025.3560654","pdf_url":null,"source":{"id":"https://openalex.org/S2480266640","display_name":"IEEE Internet of Things Journal","issn_l":"2327-4662","issn":["2327-4662","2372-2541"],"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 Internet of Things Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G1826007062","display_name":null,"funder_award_id":"61862062","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1885123895","display_name":"\u57fa\u4e8e\u9ad8\u9636\u903b\u8f91\u7684\u5206\u6570\u9636\u5efa\u6a21\u4e0e\u9a8c\u8bc1\u7406\u8bba\u7814\u7a76","funder_award_id":"61104035","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6160568475","display_name":null,"funder_award_id":"202401AT070471","funder_id":"https://openalex.org/F4320330387","funder_display_name":"Foundation for Fundamental Research of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320330387","display_name":"Foundation for Fundamental Research of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W2522323034","https://openalex.org/W2790602452","https://openalex.org/W2909345454","https://openalex.org/W2963925437","https://openalex.org/W3177318507","https://openalex.org/W3186681406","https://openalex.org/W4234724504","https://openalex.org/W4361020001","https://openalex.org/W4367047139","https://openalex.org/W4372342073","https://openalex.org/W4382203079","https://openalex.org/W4385245566","https://openalex.org/W4386091161","https://openalex.org/W4387937917","https://openalex.org/W4388340421","https://openalex.org/W4388979610","https://openalex.org/W4390146364","https://openalex.org/W4391227277","https://openalex.org/W4391691641","https://openalex.org/W4391924825","https://openalex.org/W4392516232","https://openalex.org/W4392908080","https://openalex.org/W4393147362","https://openalex.org/W4393159606","https://openalex.org/W4396599589","https://openalex.org/W4398174014","https://openalex.org/W4399994983","https://openalex.org/W4400072019","https://openalex.org/W4400267966","https://openalex.org/W4400373628","https://openalex.org/W4401449568","https://openalex.org/W6735826779","https://openalex.org/W6749825310","https://openalex.org/W6764679822","https://openalex.org/W6797155008","https://openalex.org/W6804575898","https://openalex.org/W6810637551","https://openalex.org/W6846825190","https://openalex.org/W6857279128","https://openalex.org/W6857887525","https://openalex.org/W6868789466","https://openalex.org/W6912148201"],"related_works":["https://openalex.org/W2406638334","https://openalex.org/W1991765889","https://openalex.org/W1990068454","https://openalex.org/W2472172556","https://openalex.org/W1919101720","https://openalex.org/W2118640767","https://openalex.org/W2119012848","https://openalex.org/W2622688551","https://openalex.org/W1550175370","https://openalex.org/W1990205660"],"abstract_inverted_index":{"With":[0],"the":[1,4,32,52,66,125,142,148,160,168],"proliferation":[2],"of":[3,6,11,34,68,138,144],"Internet":[5],"Things":[7],"(IoT),":[8],"a":[9,89,99,117,209],"wealth":[10],"multivariate":[12],"time":[13,41,205],"series":[14,206],"data":[15],"is":[16,225],"being":[17],"generated":[18],"across":[19,175],"various":[20],"domains,":[21],"creating":[22],"new":[23,210],"demands":[24],"for":[25,222],"accurate":[26],"and":[27,57,64,76,111,115,130,167,184,193,216],"efficient":[28],"forecasting":[29,91,157],"models.":[30],"Despite":[31],"success":[33],"attention-based":[35],"models":[36,124],"in":[37,204],"capturing":[38],"dependencies":[39],"within":[40],"series,":[42],"they":[43],"often":[44],"fail":[45],"to":[46,78,108,200],"address":[47,83,201],"two":[48,95],"critical":[49],"challenges:":[50],"(1)":[51],"lag":[53,126],"effect":[54],"between":[55],"output":[56,129],"input,":[58],"which":[59,73,104,122],"can":[60],"significantly":[61,155],"distort":[62],"predictions,":[63],"(2)":[65],"limitations":[67],"classic":[69],"trigonometric":[70],"positional":[71,113,214],"embeddings,":[72],"lack":[74],"scalability":[75],"adaptability":[77],"diverse":[79],"temporal":[80],"patterns.":[81],"To":[82],"these":[84],"challenges,":[85],"we":[86],"propose":[87],"FPPformer,":[88],"novel":[90],"model":[92],"that":[93,153],"introduces":[94],"key":[96],"innovations:":[97],"(i)":[98],"Fractional":[100],"Positional":[101],"Embedding":[102],"(FPE),":[103],"leverages":[105],"fractional":[106],"calculus":[107],"enable":[109],"scalable":[110],"adaptive":[112],"representations,":[114],"(ii)":[116],"Predictive":[118],"Attention":[119],"Mechanism":[120],"(PAM),":[121],"explicitly":[123],"effect,":[127],"aligning":[128],"input":[131],"more":[132],"effectively.":[133],"The":[134,220],"FPPformer":[135,154],"architecture":[136],"consists":[137],"encoder-only":[139],"structure,":[140],"with":[141],"core":[143],"encoder":[145],"module":[146],"utilizing":[147],"PAM.":[149],"Experimental":[150],"results":[151,196],"demonstrate":[152],"improves":[156],"perfromance,":[158],"reducing":[159],"mean":[161,169],"squared":[162],"error":[163,171],"(MSE)":[164],"by":[165,173],"28%":[166],"absolute":[170],"(MAE)":[172],"17%":[174],"six":[176],"datasets":[177,189],"spanning":[178],"four":[179],"domains":[180],"-electricity,":[181],"weather,":[182],"economy,":[183],"transportation":[185],"-especially":[186],"on":[187,212],"large-scale":[188],"such":[190],"as":[191],"Traffic":[192],"Electricity.":[194],"These":[195],"highlight":[197],"FPPformer\u2019s":[198],"ability":[199],"fundamental":[202],"challenges":[203],"forecasting,":[207],"providing":[208],"perspective":[211],"leveraging":[213],"representations":[215],"lag-aware":[217],"attention":[218],"mechanisms.":[219],"code":[221],"this":[223],"project":[224],"available":[226],"at":[227],"https://github.com/jancely/FPPformer.":[228]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}