{"id":"https://openalex.org/W2889471485","doi":"https://doi.org/10.1137/18m1211003","title":"Extreme Event Quantification in Dynamical Systems with Random Components","display_name":"Extreme Event Quantification in Dynamical Systems with Random Components","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2889471485","doi":"https://doi.org/10.1137/18m1211003","mag":"2889471485"},"language":"en","primary_location":{"id":"doi:10.1137/18m1211003","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1211003","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.10764","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029512665","display_name":"Giovanni Dematteis","orcid":"https://orcid.org/0000-0003-2918-8951"},"institutions":[{"id":"https://openalex.org/I4210142780","display_name":"Turin Polytechnic University","ror":"https://ror.org/042xrxv40","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4210142780"]},{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT","UZ"],"is_corresponding":true,"raw_author_name":"Giovanni Dematteis","raw_affiliation_strings":["Polytechnic University of Turin"],"affiliations":[{"raw_affiliation_string":"Polytechnic University of Turin","institution_ids":["https://openalex.org/I4210142780","https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084177125","display_name":"Tobias Grafke","orcid":"https://orcid.org/0000-0003-0839-676X"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tobias Grafke","raw_affiliation_strings":["University of Warwick"],"affiliations":[{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044193587","display_name":"Eric Vanden\u2010Eijnden","orcid":"https://orcid.org/0000-0001-7982-5854"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eric Vanden-Eijnden","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029512665"],"corresponding_institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210142780"],"apc_list":null,"apc_paid":null,"fwci":0.1661,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5807832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"3","first_page":"1029","last_page":"1059"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9945999979972839,"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/T12560","display_name":"Nuclear Engineering Thermal-Hydraulics","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6992008686065674},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5890195369720459},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.5807805061340332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5261430740356445},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5008471012115479},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.4968624413013458},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.48090147972106934},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4642845690250397},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.42834150791168213},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.42274293303489685},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3257741928100586},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21847328543663025},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.181443989276886}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6992008686065674},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5890195369720459},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5807805061340332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5261430740356445},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5008471012115479},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4968624413013458},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.48090147972106934},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4642845690250397},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.42834150791168213},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.42274293303489685},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3257741928100586},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21847328543663025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.181443989276886},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m1211003","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1211003","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:117758","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1808.10764","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.10764","pdf_url":"https://arxiv.org/pdf/1808.10764","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":"","raw_type":"text"},{"id":"mag:2889471485","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1808.10764.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1808.10764","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1808.10764","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":"pmh:oai:arXiv.org:1808.10764","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.10764","pdf_url":"https://arxiv.org/pdf/1808.10764","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2309665109","display_name":null,"funder_award_id":"DMS-1522767","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4956079712","display_name":null,"funder_award_id":"2018-2022","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G7496125066","display_name":null,"funder_award_id":"DMR-1420073","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320313985","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W433418221","https://openalex.org/W1580385316","https://openalex.org/W1597392536","https://openalex.org/W1700452290","https://openalex.org/W1981280406","https://openalex.org/W1992188335","https://openalex.org/W2002085713","https://openalex.org/W2009649944","https://openalex.org/W2015768906","https://openalex.org/W2017891730","https://openalex.org/W2026106782","https://openalex.org/W2027319740","https://openalex.org/W2029088417","https://openalex.org/W2031291057","https://openalex.org/W2036213650","https://openalex.org/W2036475903","https://openalex.org/W2037376728","https://openalex.org/W2037393162","https://openalex.org/W2049165066","https://openalex.org/W2055510110","https://openalex.org/W2066593407","https://openalex.org/W2066716706","https://openalex.org/W2070389042","https://openalex.org/W2072021093","https://openalex.org/W2080649718","https://openalex.org/W2082753131","https://openalex.org/W2090885565","https://openalex.org/W2102582588","https://openalex.org/W2108541535","https://openalex.org/W2125916088","https://openalex.org/W2154151239","https://openalex.org/W2158066165","https://openalex.org/W2300749085","https://openalex.org/W2315202837","https://openalex.org/W2316386143","https://openalex.org/W2488897645","https://openalex.org/W2605625916","https://openalex.org/W2606860700","https://openalex.org/W2657376708","https://openalex.org/W2739195286","https://openalex.org/W2756013113","https://openalex.org/W2963171244","https://openalex.org/W2963455038","https://openalex.org/W3029645440","https://openalex.org/W3039131765"],"related_works":["https://openalex.org/W3045687008","https://openalex.org/W2554413976","https://openalex.org/W2092468448","https://openalex.org/W962936509","https://openalex.org/W2796243079","https://openalex.org/W1974282206","https://openalex.org/W2107973214","https://openalex.org/W2953988481","https://openalex.org/W3103750639","https://openalex.org/W2124922480","https://openalex.org/W2316119765","https://openalex.org/W32582164","https://openalex.org/W572718056","https://openalex.org/W3012829077","https://openalex.org/W3100549364","https://openalex.org/W2189245005","https://openalex.org/W1616379778","https://openalex.org/W2905630886","https://openalex.org/W2914513637","https://openalex.org/W2467245180"],"abstract_inverted_index":{"A":[0],"central":[1],"problem":[2],"in":[3,50,69,105,128],"uncertainty":[4],"quantification":[5],"is":[6,48,96,118],"how":[7,121],"to":[8,31,62],"characterize":[9],"the":[10,20,37,64,82,87,110,113,142,156],"impact":[11],"that":[12,66],"our":[13],"incomplete":[14],"knowledge":[15],"about":[16,86],"models":[17],"has":[18],"on":[19,141],"predictions":[21],"we":[22],"make":[23],"from":[24,54,134],"them.":[25],"This":[26],"question":[27],"naturally":[28],"lends":[29],"itself":[30],"a":[32,70,75,106,145,152],"probabilistic":[33],"formulation,":[34],"by":[35,151],"making":[36],"unknown":[38],"model":[39],"parameters":[40,89],"random":[41,148,161],"with":[42,52,147,160],"given":[43,81],"statistics.":[44],"Here":[45],"this":[46,122],"approach":[47],"used":[49],"concert":[51],"tools":[53,133],"large":[55,76],"deviation":[56],"theory":[57],"(LDT)":[58],"and":[59,155],"optimal":[60,135],"control":[61],"estimate":[63],"probability":[65],"some":[67,79],"observables":[68],"dynamical":[71],"system":[72],"go":[73],"above":[74],"threshold":[77],"after":[78],"time,":[80],"prior":[83],"statistical":[84],"information":[85],"system's":[88],"and/or":[90],"its":[91],"initial":[92,162],"conditions.":[93,163],"Specifically,":[94],"it":[95],"established":[97],"under":[98],"which":[99],"conditions":[100],"such":[101],"extreme":[102],"events":[103],"occur":[104],"predictable":[107],"way,":[108],"as":[109],"minimizer":[111],"of":[112,144],"LDT":[114],"action":[115],"functional.":[116],"It":[117],"also":[119],"shown":[120],"minimization":[123],"can":[124],"be":[125],"numerically":[126],"performed":[127],"an":[129],"efficient":[130],"way":[131],"using":[132],"control.":[136],"These":[137],"findings":[138],"are":[139],"illustrated":[140],"examples":[143],"rod":[146],"elasticity":[149],"pulled":[150],"time-dependent":[153],"force,":[154],"nonlinear":[157],"Schr\u00f6dinger":[158],"equation":[159]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}