{"id":"https://openalex.org/W7127363828","doi":"https://doi.org/10.48550/arxiv.2602.00143","title":"Early warning prediction: Onsager-Machlup vs Schr\u00f6dinger","display_name":"Early warning prediction: Onsager-Machlup vs Schr\u00f6dinger","publication_year":2026,"publication_date":"2026-01-29","ids":{"openalex":"https://openalex.org/W7127363828","doi":"https://doi.org/10.48550/arxiv.2602.00143"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.00143","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.00143","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2602.00143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011361009","display_name":"Xiaoai Xu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xu, Xiaoai","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089140962","display_name":"Yi Zhou","orcid":"https://orcid.org/0000-0003-3901-3805"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Yixuan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124968509","display_name":"Xiang Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Xiang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124881252","display_name":"Jingqiao Duan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Duan, Jingqiao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5124903799","display_name":"Ting Gao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gao, Ting","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011361009"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.7372000217437744,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.7372000217437744,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.04839999973773956,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.031700000166893005,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7167999744415283},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5023000240325928},{"id":"https://openalex.org/keywords/warning-system","display_name":"Warning system","score":0.4957999885082245},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4499000012874603},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.39399999380111694},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.3589000105857849},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3564000129699707},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.35370001196861267}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7167999744415283},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5023000240325928},{"id":"https://openalex.org/C29825287","wikidata":"https://www.wikidata.org/wiki/Q1427940","display_name":"Warning system","level":2,"score":0.4957999885082245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4677000045776367},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4499000012874603},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4406999945640564},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.387800008058548},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.38510000705718994},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.3589000105857849},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3564000129699707},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.35370001196861267},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.3285999894142151},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3167000114917755},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.302700012922287},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.30070000886917114},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.28519999980926514},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2808000147342682},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C2778186239","wikidata":"https://www.wikidata.org/wiki/Q41571","display_name":"Epilepsy","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.00143","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.00143","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2602.00143","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.00143","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Predicting":[0],"critical":[1,25,128],"transitions":[2,107],"in":[3,10,17,108,121],"complex":[4],"systems,":[5],"such":[6],"as":[7],"epileptic":[8],"seizures":[9],"the":[11,76,82,102,109],"brain,":[12],"represents":[13],"a":[14,34,65,87,146],"major":[15],"challenge":[16],"scientific":[18],"research.":[19],"The":[20],"high-dimensional":[21,158],"characteristics":[22],"and":[23,119,130,139,150],"hidden":[24],"signals":[26,156],"further":[27],"complicate":[28],"early-warning":[29,36,155],"tasks.":[30],"This":[31,143],"study":[32],"proposes":[33],"novel":[35],"framework":[37,149],"that":[38,113],"integrates":[39],"manifold":[40],"learning":[41],"with":[42],"stochastic":[43,67],"dynamical":[44],"system":[45],"modeling.":[46],"Through":[47],"systematic":[48,147],"comparison,":[49],"six":[50],"methods":[51],"including":[52],"diffusion":[53],"maps":[54],"(DM)":[55],"are":[56],"selected":[57],"to":[58,73,100],"construct":[59],"low-dimensional":[60],"representations.":[61],"Based":[62],"on":[63,85],"these,":[64],"data-driven":[66],"differential":[68],"equation":[69],"model":[70],"is":[71,93],"established":[72],"robustly":[74],"estimate":[75],"probability":[77],"evolution":[78],"scoring":[79],"function":[80],"of":[81,104,127],"system.":[83,110],"Building":[84],"this,":[86],"new":[88],"Score":[89],"Function":[90],"(SF)":[91],"indicator":[92,115],"defined":[94],"by":[95],"incorporating":[96],"Schr\u00f6dinger":[97],"bridge":[98],"theory":[99],"quantify":[101],"likelihood":[103],"significant":[105],"state":[106],"Experiments":[111],"demonstrate":[112],"this":[114],"exhibits":[116],"higher":[117],"sensitivity":[118],"robustness":[120],"epilepsy":[122],"prediction,":[123],"enables":[124],"earlier":[125],"identification":[126],"points,":[129],"clearly":[131],"captures":[132],"dynamic":[133],"features":[134],"across":[135],"various":[136],"stages":[137],"before":[138],"after":[140],"seizure":[141],"onset.":[142],"work":[144],"provides":[145],"theoretical":[148],"practical":[151],"methodology":[152],"for":[153],"extracting":[154],"from":[157],"data.":[159]},"counts_by_year":[],"updated_date":"2026-02-04T23:14:21.375766","created_date":"2026-02-04T00:00:00"}