{"id":"https://openalex.org/W4407632364","doi":"https://doi.org/10.48550/arxiv.2502.09885","title":"Comprehensive Review of Neural Differential Equations for Time Series Analysis","display_name":"Comprehensive Review of Neural Differential Equations for Time Series Analysis","publication_year":2025,"publication_date":"2025-02-14","ids":{"openalex":"https://openalex.org/W4407632364","doi":"https://doi.org/10.48550/arxiv.2502.09885"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2502.09885","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.09885","pdf_url":"https://arxiv.org/pdf/2502.09885","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2502.09885","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061688087","display_name":"YongKyung Oh","orcid":"https://orcid.org/0000-0002-8027-3433"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Oh, YongKyung","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116293105","display_name":"Seungsu Kam","orcid":"https://orcid.org/0009-0004-9990-6263"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kam, Seungsu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013062329","display_name":"Jonghun Lee","orcid":"https://orcid.org/0000-0001-7436-5561"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lee, Jonghun","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007374242","display_name":"Dong\u2010Young Lim","orcid":"https://orcid.org/0000-0002-4677-965X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lim, Dong-Young","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101669195","display_name":"Sungil Kim","orcid":"https://orcid.org/0000-0002-4808-849X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kim, Sungil","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5056478657","display_name":"Alex Bui","orcid":"https://orcid.org/0000-0002-4702-1373"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bui, Alex","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5061688087"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9447000026702881,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9447000026702881,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/series","display_name":"Series (stratigraphy)","score":0.7416924834251404},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.540067195892334},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4622578024864197},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43190473318099976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4246314764022827},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4124652147293091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34146004915237427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18677595257759094},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16942733526229858},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.1673882007598877},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.13150200247764587}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7416924834251404},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.540067195892334},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4622578024864197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43190473318099976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4246314764022827},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4124652147293091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34146004915237427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18677595257759094},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16942733526229858},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1673882007598877},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.13150200247764587},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2502.09885","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.09885","pdf_url":"https://arxiv.org/pdf/2502.09885","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2502.09885","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.09885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2502.09885","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.09885","pdf_url":"https://arxiv.org/pdf/2502.09885","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1919101720","https://openalex.org/W4390822878","https://openalex.org/W96888382","https://openalex.org/W4386126592","https://openalex.org/W2041308758","https://openalex.org/W2119012848","https://openalex.org/W2622688551","https://openalex.org/W1550175370","https://openalex.org/W3146111732","https://openalex.org/W1990205660"],"abstract_inverted_index":{"Time":[0],"series":[1,75,137],"modeling":[2],"and":[3,16,22,34,86,102,116,128],"analysis":[4],"have":[5],"become":[6],"critical":[7],"in":[8,29,39],"various":[9],"domains.":[10],"Conventional":[11],"methods":[12,72],"such":[13],"as":[14,123],"RNNs":[15],"Transformers,":[17],"while":[18],"effective":[19],"for":[20,73,126,134],"discrete-time":[21],"regularly":[23],"sampled":[24],"data,":[25],"face":[26],"significant":[27],"challenges":[28,115],"capturing":[30],"the":[31,52,58],"continuous":[32],"dynamics":[33],"irregular":[35],"sampling":[36],"patterns":[37],"inherent":[38],"real-world":[40],"scenarios.":[41],"Neural":[42],"Differential":[43],"Equations":[44],"(NDEs)":[45],"represent":[46],"a":[47,67,93,124],"paradigm":[48],"shift":[49],"by":[50],"combining":[51],"flexibility":[53],"of":[54,61,70,96],"neural":[55,78,82,87],"networks":[56],"with":[57],"mathematical":[59,98],"rigor":[60],"differential":[62,80,84,89],"equations.":[63,90],"This":[64,120],"paper":[65],"presents":[66],"comprehensive":[68],"review":[69],"NDE-based":[71],"time":[74,136],"analysis,":[76],"including":[77],"ordinary":[79],"equations,":[81,85],"controlled":[83],"stochastic":[88],"We":[91],"provide":[92],"detailed":[94],"discussion":[95],"their":[97,105],"formulations,":[99],"numerical":[100],"methods,":[101],"applications,":[103],"highlighting":[104],"ability":[106],"to":[107,131],"model":[108],"continuous-time":[109],"dynamics.":[110],"Furthermore,":[111],"we":[112],"address":[113],"key":[114],"future":[117],"research":[118],"directions.":[119],"survey":[121],"serves":[122],"foundation":[125],"researchers":[127],"practitioners":[129],"seeking":[130],"leverage":[132],"NDEs":[133],"advanced":[135],"analysis.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}
