{"id":"https://openalex.org/W4388140199","doi":"https://doi.org/10.3390/e25111509","title":"Topological Data Analysis for Multivariate Time Series Data","display_name":"Topological Data Analysis for Multivariate Time Series Data","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388140199","doi":"https://doi.org/10.3390/e25111509","pmid":"https://pubmed.ncbi.nlm.nih.gov/37998201"},"language":"en","primary_location":{"id":"doi:10.3390/e25111509","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25111509","pdf_url":"https://www.mdpi.com/1099-4300/25/11/1509/pdf?version=1698835989","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/25/11/1509/pdf?version=1698835989","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092172043","display_name":"Anass B. El-Yaagoubi","orcid":"https://orcid.org/0000-0002-8886-0587"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Anass B. El-Yaagoubi","raw_affiliation_strings":["Statistics Program, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Statistics Program, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029674397","display_name":"Moo K. Chung","orcid":"https://orcid.org/0000-0003-2852-9670"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Moo K. Chung","raw_affiliation_strings":["Biostatistics and Medical Informatics, University of Wisconsin-Madison, Madison, WI 53706, USA"],"affiliations":[{"raw_affiliation_string":"Biostatistics and Medical Informatics, University of Wisconsin-Madison, Madison, WI 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022587472","display_name":"Hernando Ombao","orcid":"https://orcid.org/0000-0001-7020-8091"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hernando Ombao","raw_affiliation_strings":["Statistics Program, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Statistics Program, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5092172043"],"corresponding_institution_ids":["https://openalex.org/I71920554"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":5.3088,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96482145,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"25","issue":"11","first_page":"1509","last_page":"1509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/topological-data-analysis","display_name":"Topological data analysis","score":0.9294452667236328},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.7014171481132507},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.6332374811172485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5661890506744385},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5105960965156555},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4952308237552643},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.46742838621139526},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.4428376853466034},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.43551746010780334},{"id":"https://openalex.org/keywords/data-science","display_name":"Data science","score":0.3310031592845917},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2596151530742645},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2331140637397766},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.12680304050445557}],"concepts":[{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.9294452667236328},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7014171481132507},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.6332374811172485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5661890506744385},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5105960965156555},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4952308237552643},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.46742838621139526},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.4428376853466034},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.43551746010780334},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.3310031592845917},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2596151530742645},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2331140637397766},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.12680304050445557},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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":4,"locations":[{"id":"doi:10.3390/e25111509","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25111509","pdf_url":"https://www.mdpi.com/1099-4300/25/11/1509/pdf?version=1698835989","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":"pmid:37998201","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37998201","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10669999","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10669999","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10669999/pdf/entropy-25-01509.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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 (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:6d2573973e7143eba51d29649a3fc82a","is_oa":true,"landing_page_url":"https://doaj.org/article/6d2573973e7143eba51d29649a3fc82a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 25, Iss 11, p 1509 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e25111509","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25111509","pdf_url":"https://www.mdpi.com/1099-4300/25/11/1509/pdf?version=1698835989","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":[{"id":"https://openalex.org/G266842233","display_name":null,"funder_award_id":"EB02875","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G718618001","display_name":null,"funder_award_id":"2010778","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G757628968","display_name":null,"funder_award_id":"EB028753","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322320","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38"},{"id":"https://openalex.org/F4320324410","display_name":"University of the Philippines","ror":"https://ror.org/02hqkr514"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388140199.pdf"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W1487729220","https://openalex.org/W1549386224","https://openalex.org/W1555193064","https://openalex.org/W1680861744","https://openalex.org/W1753705553","https://openalex.org/W1967760180","https://openalex.org/W1967931162","https://openalex.org/W1973272857","https://openalex.org/W1991566301","https://openalex.org/W1999653836","https://openalex.org/W2008620264","https://openalex.org/W2026384313","https://openalex.org/W2037613900","https://openalex.org/W2060456018","https://openalex.org/W2068001535","https://openalex.org/W2071391326","https://openalex.org/W2083570561","https://openalex.org/W2088272457","https://openalex.org/W2092655084","https://openalex.org/W2112090702","https://openalex.org/W2112796928","https://openalex.org/W2115445832","https://openalex.org/W2116341502","https://openalex.org/W2133242303","https://openalex.org/W2138790588","https://openalex.org/W2139906443","https://openalex.org/W2142639392","https://openalex.org/W2148563117","https://openalex.org/W2164534204","https://openalex.org/W2267198619","https://openalex.org/W2330558670","https://openalex.org/W2498184556","https://openalex.org/W2567599812","https://openalex.org/W2597495304","https://openalex.org/W2600324828","https://openalex.org/W2752558629","https://openalex.org/W2764239667","https://openalex.org/W2807122651","https://openalex.org/W2891725784","https://openalex.org/W2962919115","https://openalex.org/W2963300120","https://openalex.org/W3005864656","https://openalex.org/W3013843370","https://openalex.org/W3015234645","https://openalex.org/W3015345825","https://openalex.org/W3092100795","https://openalex.org/W3102724374","https://openalex.org/W3104681665","https://openalex.org/W3105762472","https://openalex.org/W3120795911","https://openalex.org/W3134702615","https://openalex.org/W3171131780","https://openalex.org/W3199008037","https://openalex.org/W3205824203","https://openalex.org/W3210518039","https://openalex.org/W4206320591","https://openalex.org/W4225357719","https://openalex.org/W4229336522","https://openalex.org/W4233690291","https://openalex.org/W4241172235","https://openalex.org/W4245057219","https://openalex.org/W4287394616","https://openalex.org/W4308411438","https://openalex.org/W4379055761","https://openalex.org/W6629152740","https://openalex.org/W6637283071","https://openalex.org/W6681240578","https://openalex.org/W6681677808","https://openalex.org/W6788335715","https://openalex.org/W6815424340"],"related_works":["https://openalex.org/W2886923060","https://openalex.org/W2887690685","https://openalex.org/W3204835693","https://openalex.org/W3119689987","https://openalex.org/W4287394697","https://openalex.org/W3137224016","https://openalex.org/W3128725485","https://openalex.org/W3120766012","https://openalex.org/W4295883750","https://openalex.org/W3106789825"],"abstract_inverted_index":{"Over":[0],"the":[1,30,114,119,129],"last":[2],"two":[3],"decades,":[4],"topological":[5,44,130],"data":[6,15,23,47,133],"analysis":[7],"(TDA)":[8],"has":[9],"emerged":[10],"as":[11,111,113],"a":[12,62,108],"very":[13],"powerful":[14],"analytic":[16],"approach":[17,68],"that":[18],"can":[19,42],"deal":[20],"with":[21,92],"various":[22,49],"modalities":[24],"of":[25,29,53,95,102,116,121,132],"varying":[26],"complexities.":[27],"One":[28],"most":[31],"commonly":[32],"used":[33],"tools":[34],"in":[35,107,118,128],"TDA":[36,59,103,117],"is":[37,56],"persistent":[38],"homology":[39],"(PH),":[40],"which":[41],"extract":[43],"properties":[45,131],"from":[46,135],"at":[48],"scales.":[50],"The":[51,75],"aim":[52],"this":[54,89],"article":[55],"to":[57,61,69,104,125],"introduce":[58],"concepts":[60],"statistical":[63],"audience":[64],"and":[65,84,99],"provide":[66],"an":[67,93],"analyzing":[70],"multivariate":[71,81],"time":[72],"series":[73],"data.":[74],"application's":[76],"focus":[77],"will":[78],"be":[79],"on":[80],"brain":[82,85,109],"signals":[83],"connectivity":[86],"networks.":[87],"Finally,":[88],"paper":[90],"concludes":[91],"overview":[94],"some":[96],"open":[97],"problems":[98],"potential":[100],"application":[101],"modeling":[105],"directionality":[106],"network,":[110],"well":[112],"casting":[115],"context":[120],"mixed":[122],"effect":[123],"models":[124],"capture":[126],"variations":[127],"collected":[134],"multiple":[136],"subjects.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
