{"id":"https://openalex.org/W4407900275","doi":"https://doi.org/10.1109/tkde.2025.3544751","title":"An Amortized O(1) Lower Bound for Dynamic Time Warping in Motif Discovery","display_name":"An Amortized O(1) Lower Bound for Dynamic Time Warping in Motif Discovery","publication_year":2025,"publication_date":"2025-02-24","ids":{"openalex":"https://openalex.org/W4407900275","doi":"https://doi.org/10.1109/tkde.2025.3544751"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2025.3544751","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2025.3544751","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/A5075597781","display_name":"Zemin Chao","orcid":"https://orcid.org/0000-0003-0784-6650"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zemin Chao","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","School of Computer Science and Technology, Harbin Institute of Technology, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070851627","display_name":"Hong Gao","orcid":"https://orcid.org/0000-0002-2000-6683"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Gao","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","School of Computer Science and Technology, Harbin Institute of Technology, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089467202","display_name":"Dongjing Miao","orcid":"https://orcid.org/0000-0001-9370-7088"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongjing Miao","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","School of Computer Science and Technology, Harbin Institute of Technology, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100387065","display_name":"Jianzhong Li","orcid":"https://orcid.org/0000-0002-4119-0571"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianzhong Li","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","School of Computer Science and Technology, Harbin Institute of Technology, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100396652","display_name":"Hongzhi Wang","orcid":"https://orcid.org/0000-0002-7521-2871"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongzhi Wang","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","School of Computer Science and Technology, Harbin Institute of Technology, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5075597781"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":2.8257,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88100252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"37","issue":"5","first_page":"2239","last_page":"2252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9807000160217285,"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":0.9807000160217285,"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/T11439","display_name":"Video Analysis and Summarization","score":0.9801999926567078,"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/T11309","display_name":"Music and Audio Processing","score":0.965499997138977,"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/computer-science","display_name":"Computer science","score":0.6947469711303711},{"id":"https://openalex.org/keywords/motif","display_name":"Motif (music)","score":0.5989542603492737},{"id":"https://openalex.org/keywords/dynamic-time-warping","display_name":"Dynamic time warping","score":0.5059427618980408},{"id":"https://openalex.org/keywords/image-warping","display_name":"Image warping","score":0.4237824082374573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3218942880630493},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25438791513442993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07770532369613647}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6947469711303711},{"id":"https://openalex.org/C32276052","wikidata":"https://www.wikidata.org/wiki/Q908349","display_name":"Motif (music)","level":2,"score":0.5989542603492737},{"id":"https://openalex.org/C88516994","wikidata":"https://www.wikidata.org/wiki/Q1268863","display_name":"Dynamic time warping","level":2,"score":0.5059427618980408},{"id":"https://openalex.org/C157202957","wikidata":"https://www.wikidata.org/wiki/Q1659609","display_name":"Image warping","level":2,"score":0.4237824082374573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3218942880630493},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25438791513442993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07770532369613647},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2025.3544751","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2025.3544751","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":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G1747232362","display_name":null,"funder_award_id":"61972110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4080921903","display_name":null,"funder_award_id":"U22A2025","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4577689320","display_name":null,"funder_award_id":"62072136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4607400915","display_name":null,"funder_award_id":"HSF20230095","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G4870221138","display_name":null,"funder_award_id":"2024ZXJ01A04","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G4894050043","display_name":null,"funder_award_id":"61832003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7081544095","display_name":null,"funder_award_id":"U19A2059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8318974576","display_name":null,"funder_award_id":"62372138","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"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W67158865","https://openalex.org/W194722155","https://openalex.org/W757727815","https://openalex.org/W1513731586","https://openalex.org/W1973222433","https://openalex.org/W2006761268","https://openalex.org/W2012609801","https://openalex.org/W2066834853","https://openalex.org/W2091921805","https://openalex.org/W2098759488","https://openalex.org/W2099302229","https://openalex.org/W2128160875","https://openalex.org/W2128636568","https://openalex.org/W2155919101","https://openalex.org/W2162775914","https://openalex.org/W2163118894","https://openalex.org/W2549468845","https://openalex.org/W2559280146","https://openalex.org/W2583336059","https://openalex.org/W2584499795","https://openalex.org/W2742517588","https://openalex.org/W2772177579","https://openalex.org/W2790224997","https://openalex.org/W2907759361","https://openalex.org/W2909311313","https://openalex.org/W2970478682","https://openalex.org/W2981881106","https://openalex.org/W2982975975","https://openalex.org/W2997424509","https://openalex.org/W3128713513","https://openalex.org/W3131450786","https://openalex.org/W3165728814","https://openalex.org/W4240592325","https://openalex.org/W4386895135"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1670332068","https://openalex.org/W2095618524","https://openalex.org/W2347413598","https://openalex.org/W2330863229","https://openalex.org/W71572444","https://openalex.org/W1997383766","https://openalex.org/W2350336482"],"abstract_inverted_index":{"Motif":[0],"discovery":[1,122,140],"is":[2,56,67,160],"a":[3],"critical":[4],"operation":[5],"for":[6,51,59,96],"analyzing":[7],"series":[8],"data":[9],"in":[10,33,120],"many":[11],"applications.":[12],"Recent":[13],"works":[14],"demonstrate":[15],"the":[16,44,48,68,71,104,115,145,157,165],"importance":[17],"of":[18,30,37,62,70,88,99,147],"finding":[19],"motifs":[20],"with":[21],"Dynamic":[22,38],"Time":[23,39],"Warping.":[24],"However,":[25],"existing":[26],"algorithms":[27,167],"spend":[28],"most":[29],"their":[31],"time":[32,49,95],"computing":[34,52],"lower":[35,54,79,106,117,132,148],"bounds":[36,55,107,118],"Warping":[40],"to":[41],"filter":[42],"out":[43],"unpromising":[45],"candidates.":[46],"Specifically,":[47],"complexity":[50],"these":[53,130],"<inline-formula><tex-math":[57,65,82,85,93],"notation=\"LaTeX\">$O(L)$</tex-math></inline-formula>":[58],"each":[60,97],"pair":[61,98],"subsequences,":[63],"where":[64],"notation=\"LaTeX\">$L$</tex-math></inline-formula>":[66],"length":[69],"motif":[72,121,139],"(subsequences).":[73],"This":[74],"paper":[75,135],"proposes":[76],"two":[77],"new":[78],"bounds,":[80,133],"called":[81],"notation=\"LaTeX\">$LB_{f}$</tex-math></inline-formula>":[83],"and":[84],"notation=\"LaTeX\">$LB_{M}$</tex-math></inline-formula>,":[86],"both":[87],"them":[89],"only":[90],"cost":[91,146],"amortized":[92],"notation=\"LaTeX\">$O(1)$</tex-math></inline-formula>":[94],"subsequences.":[100],"On":[101],"real":[102,154],"datasets,":[103],"proposed":[105,158],"are":[108],"at":[109],"least":[110],"one":[111],"magnitude":[112],"faster":[113,131,163],"than":[114,164],"state-of-the-art":[116,166],"used":[119],"while":[123],"still":[124],"keeping":[125],"satisfying":[126],"effectiveness.":[127],"Based":[128],"on":[129,153,168],"this":[134],"designs":[136],"an":[137],"efficient":[138],"algorithm":[141,159],"that":[142],"significantly":[143],"reduces":[144],"bounds.":[149],"The":[150],"experiments":[151],"conducted":[152],"datasets":[155],"show":[156],"5.6":[161],"times":[162],"average.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}