{"id":"https://openalex.org/W2519075107","doi":"https://doi.org/10.3390/e18090327","title":"Sparse Trajectory Prediction Based on Multiple Entropy Measures","display_name":"Sparse Trajectory Prediction Based on Multiple Entropy Measures","publication_year":2016,"publication_date":"2016-09-14","ids":{"openalex":"https://openalex.org/W2519075107","doi":"https://doi.org/10.3390/e18090327","mag":"2519075107"},"language":"en","primary_location":{"id":"doi:10.3390/e18090327","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18090327","pdf_url":"https://www.mdpi.com/1099-4300/18/9/327/pdf?version=1473816869","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/18/9/327/pdf?version=1473816869","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100782513","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0003-2067-8719"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":"https://orcid.org/0000-0003-2067-8719","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028829826","display_name":"Leijun Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leijun Liu","raw_affiliation_strings":["School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091210392","display_name":"Zhanguo Xia","orcid":"https://orcid.org/0009-0005-0587-9071"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhanguo Xia","raw_affiliation_strings":["School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043891966","display_name":"Wen Li","orcid":"https://orcid.org/0000-0002-5543-4899"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen Li","raw_affiliation_strings":["School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014541942","display_name":"Qingfu Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingfu Fan","raw_affiliation_strings":["School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091210392"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":2.5879,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92357764,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"18","issue":"9","first_page":"327","last_page":"327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11980","display_name":"Human Mobility and Location-Based Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11980","display_name":"Human Mobility and Location-Based Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9904000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.7204328179359436},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6139519214630127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5622396469116211},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5459044575691223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5117185115814209},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.49445056915283203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4568832516670227},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3208150863647461},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14853742718696594},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13335910439491272}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.7204328179359436},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6139519214630127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5622396469116211},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5459044575691223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5117185115814209},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.49445056915283203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4568832516670227},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3208150863647461},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14853742718696594},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13335910439491272},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e18090327","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18090327","pdf_url":"https://www.mdpi.com/1099-4300/18/9/327/pdf?version=1473816869","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5d03f2234ee0486ca6d62315c90849e4","is_oa":true,"landing_page_url":"https://doaj.org/article/5d03f2234ee0486ca6d62315c90849e4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 18, Iss 9, p 327 (2016)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/18/9/327/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e18090327","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 18; Issue 9; Pages: 327","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e18090327","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18090327","pdf_url":"https://www.mdpi.com/1099-4300/18/9/327/pdf?version=1473816869","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2519075107.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1964461063","https://openalex.org/W1982300822","https://openalex.org/W1987228002","https://openalex.org/W1997458143","https://openalex.org/W2069040327","https://openalex.org/W2074020083","https://openalex.org/W2080206036","https://openalex.org/W2082490796","https://openalex.org/W2115450697","https://openalex.org/W2134211228","https://openalex.org/W2136175220","https://openalex.org/W2136690787","https://openalex.org/W2205011536","https://openalex.org/W2296034657","https://openalex.org/W2404616212","https://openalex.org/W2424778531","https://openalex.org/W2464624156","https://openalex.org/W3037256966","https://openalex.org/W3102114848"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W4366700029","https://openalex.org/W1941703695","https://openalex.org/W4285230481","https://openalex.org/W4248382324","https://openalex.org/W3131574667","https://openalex.org/W4323768008","https://openalex.org/W4385769873","https://openalex.org/W4281634296","https://openalex.org/W4319161863"],"abstract_inverted_index":{"Trajectory":[0],"prediction":[1,18,52,209,241],"is":[2,19,70,82,94,104,115,146,201,246],"an":[3,186],"important":[4],"problem":[5],"that":[6,141,156,203],"has":[7],"a":[8,74,85,111,137,143],"large":[9],"number":[10],"of":[11,131,166,197,243],"applications.":[12],"A":[13],"common":[14],"approach":[15],"to":[16,41,60,96,106,127,148,171,221],"trajectory":[17,51,81,92,108,113,118,151],"based":[20,54],"on":[21,55],"historical":[22,35],"trajectories.":[23,46,199],"However,":[24],"existing":[25],"techniques":[26],"suffer":[27],"from":[28,39],"the":[29,49,62,67,100,129,164,167,175,204,208,222,225,237,240,254],"\u201cdata":[30],"sparsity":[31,50,64],"problem\u201d.":[32],"The":[33,153],"available":[34],"trajectories":[36],"are":[37],"far":[38],"enough":[40],"cover":[42],"all":[43],"possible":[44],"query":[45,198],"We":[47,120],"propose":[48],"algorithm":[53,169,177,206,245,256],"multiple":[56],"entropy":[57,93,102,123,126],"measures":[58],"(STP-ME)":[59],"address":[61],"data":[63],"problem.":[65],"Firstly,":[66],"moving":[68],"region":[69],"iteratively":[71],"divided":[72],"into":[73],"two-dimensional":[75],"plane":[76],"grid":[77,86],"graph,":[78],"and":[79,110,124,133,191,218,230],"each":[80],"represented":[83],"as":[84,182,213,215],"sequence":[87],"with":[88,180,184],"temporal":[89,144],"information.":[90],"Secondly,":[91],"used":[95],"evaluate":[97],"trajectory\u2019s":[98],"regularity,":[99],"L-Z":[101],"estimator":[103],"implemented":[105],"calculate":[107],"entropy,":[109],"new":[112],"space":[114],"generated":[116],"through":[117],"synthesis.":[119],"define":[121],"location":[122],"time":[125,242],"measure":[128],"popularity":[130],"locations":[132],"timeslots":[134],"respectively.":[135,235],"Finally,":[136],"second-order":[138,226],"Markov":[139,227],"model":[140,228],"contains":[142],"dimension":[145],"adopted":[147],"perform":[149],"sparse":[150],"prediction.":[152],"experiments":[154],"show":[155],"when":[157],"trip":[158],"completed":[159],"percentage":[160],"increases":[161],"towards":[162],"90%,":[163],"coverage":[165],"baseline":[168,223,255],"decreases":[170],"almost":[172,195],"25%,":[173],"while":[174],"STP-ME":[176,205,244],"successfully":[178],"copes":[179],"it":[181],"expected":[183],"only":[185],"unnoticeable":[187],"drop":[188],"in":[189],"coverage,":[190],"can":[192],"constantly":[193],"answer":[194],"100%":[196],"It":[200],"found":[202],"improves":[207],"accuracy":[210],"generally":[211],"by":[212],"much":[214],"8%,":[216],"3%,":[217],"4%,":[219],"compared":[220],"algorithm,":[224,234],"(2-MM),":[229],"sub-trajectory":[231],"synthesis":[232],"(SubSyn)":[233],"At":[236],"same":[238],"time,":[239],"negligible":[247],"(10":[248],"\u03bc":[249],"s":[250],"),":[251],"greatly":[252],"outperforming":[253],"(100":[257],"ms":[258],").":[259]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
