{"id":"https://openalex.org/W2124922480","doi":"https://doi.org/10.1137/15m1025645","title":"Path-Space Information Bounds for Uncertainty Quantification and Sensitivity Analysis of Stochastic Dynamics","display_name":"Path-Space Information Bounds for Uncertainty Quantification and Sensitivity Analysis of Stochastic Dynamics","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2124922480","doi":"https://doi.org/10.1137/15m1025645","mag":"2124922480"},"language":"en","primary_location":{"id":"doi:10.1137/15m1025645","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1025645","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/1503.05136","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010647194","display_name":"Paul Dupuis","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul Dupuis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045079747","display_name":"Markos A. Katsoulakis","orcid":"https://orcid.org/0000-0003-4354-1766"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Markos A. Katsoulakis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010084334","display_name":"Yannis Pantazis","orcid":"https://orcid.org/0000-0002-2009-7562"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yannis Pantazis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014213782","display_name":"Petr Plech\u00e1\u010d","orcid":"https://orcid.org/0000-0003-2102-4485"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Petr Plech\u00e1\u010d","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010647194"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8716,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75587481,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"4","issue":"1","first_page":"80","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9933000206947327,"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/observable","display_name":"Observable","score":0.740853488445282},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.697606086730957},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.6559858322143555},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.5738199949264526},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.538602352142334},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4817059636116028},{"id":"https://openalex.org/keywords/uncertainty-analysis","display_name":"Uncertainty analysis","score":0.4561213552951813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44261181354522705},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4151454269886017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3697914481163025},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36513209342956543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12078839540481567},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09306570887565613}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.740853488445282},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.697606086730957},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.6559858322143555},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5738199949264526},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.538602352142334},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4817059636116028},{"id":"https://openalex.org/C177803969","wikidata":"https://www.wikidata.org/wiki/Q29205","display_name":"Uncertainty analysis","level":2,"score":0.4561213552951813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44261181354522705},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4151454269886017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3697914481163025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36513209342956543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12078839540481567},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09306570887565613},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/15m1025645","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1025645","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:arXiv.org:1503.05136","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.05136","pdf_url":"https://arxiv.org/pdf/1503.05136","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":"mag:2124922480","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1503.05136.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.1503.05136","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1503.05136","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:1503.05136","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.05136","pdf_url":"https://arxiv.org/pdf/1503.05136","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":[{"id":"https://openalex.org/G1065316766","display_name":null,"funder_award_id":"Award","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G189261096","display_name":"Large Deviation Methods for the Analysis and Design of Accelerated Monte Carlo Schemes","funder_award_id":"1317199","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5338484738","display_name":null,"funder_award_id":"DE-SC0010723","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5453696313","display_name":null,"funder_award_id":"DMS-1317199","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6247060265","display_name":null,"funder_award_id":"DE-SC-0010539","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7993477771","display_name":null,"funder_award_id":"DE-SC-0010549","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"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/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2124922480.pdf","grobid_xml":"https://content.openalex.org/works/W2124922480.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W436503306","https://openalex.org/W1484033701","https://openalex.org/W1500564636","https://openalex.org/W1511694993","https://openalex.org/W1531264907","https://openalex.org/W1575104486","https://openalex.org/W1579788182","https://openalex.org/W1580561995","https://openalex.org/W1642251103","https://openalex.org/W1965392255","https://openalex.org/W1972482847","https://openalex.org/W1975736346","https://openalex.org/W1982566313","https://openalex.org/W1983233060","https://openalex.org/W1987330150","https://openalex.org/W1995875735","https://openalex.org/W2010470683","https://openalex.org/W2046765929","https://openalex.org/W2047149512","https://openalex.org/W2051618297","https://openalex.org/W2059120410","https://openalex.org/W2060209743","https://openalex.org/W2067210175","https://openalex.org/W2069739265","https://openalex.org/W2079960826","https://openalex.org/W2090938501","https://openalex.org/W2093456062","https://openalex.org/W2105777181","https://openalex.org/W2119489903","https://openalex.org/W2122759946","https://openalex.org/W2131983845","https://openalex.org/W2156541178","https://openalex.org/W2168233255","https://openalex.org/W2170316986","https://openalex.org/W2170468508","https://openalex.org/W2962881065","https://openalex.org/W3104712395","https://openalex.org/W3124025666"],"related_works":["https://openalex.org/W3013609844","https://openalex.org/W3104712395","https://openalex.org/W2336822472","https://openalex.org/W3025122083","https://openalex.org/W2183221993","https://openalex.org/W3098788257","https://openalex.org/W2154224883","https://openalex.org/W241282977","https://openalex.org/W2069057270","https://openalex.org/W2467245180","https://openalex.org/W3120160527","https://openalex.org/W3023586691","https://openalex.org/W97821649","https://openalex.org/W2554413976","https://openalex.org/W1983384788","https://openalex.org/W2107973214","https://openalex.org/W962936509","https://openalex.org/W2078699048","https://openalex.org/W3142247339","https://openalex.org/W2603912424"],"abstract_inverted_index":{"Uncertainty":[0],"quantification":[1],"is":[2,78],"a":[3,107,214],"primary":[4],"challenge":[5],"for":[6,68,94,130,207],"reliable":[7],"modeling":[8],"and":[9,56,63,127,147,169,193,201,223],"simulation":[10],"of":[11,50,59,70,75,110,133,138,165,179,217],"complex":[12,220],"stochastic":[13,61,95,134],"dynamics.":[14,96],"Such":[15],"problems":[16],"are":[17,159,170,202],"typically":[18],"plagued":[19],"by":[20],"incomplete":[21],"information":[22,148,191],"that":[23,112],"may":[24],"enter":[25],"as":[26,117,152],"uncertainty":[27,66,126],"in":[28,34,81,84,104,136,211],"the":[29,35,48,60,82,90,142,153,163,166,177,182,188],"model":[30,36],"parameters,":[31,218],"or":[32],"even":[33],"itself.":[37],"Furthermore,":[38],"due":[39],"to":[40,46],"their":[41],"dynamic":[42],"nature,":[43],"we":[44,124],"need":[45],"assess":[47],"impact":[49],"these":[51],"uncertainties":[52,80],"on":[53,162,187,198],"both":[54,145],"finite":[55],"long-time":[57],"behavior":[58],"models":[62,105],"derive":[64,125],"corresponding":[65,91],"bounds":[67,93,129,158,185],"observables":[69,132,146],"interest.":[71],"A":[72],"special":[73],"class":[74],"such":[76,116,151],"challenges":[77],"parametric":[79],"model,":[83],"particular":[85,167],"sensitivity":[86,92,98,128,180,184],"analysis":[87,99],"along":[88],"with":[89,106,213],"Moreover,":[97],"can":[100],"be":[101],"further":[102],"complicated":[103],"high":[108,215],"number":[109,216],"parameters":[111],"render":[113],"straightforward":[114],"approaches,":[115],"gradient":[118],"methods,":[119],"impractical.":[120],"In":[121,176],"this":[122],"paper,":[123],"path-space":[131,189],"dynamics":[135,200],"terms":[137],"new":[139],"goal-oriented":[140],"divergences;":[141],"latter":[143],"incorporate":[144],"theory":[149],"objects":[150],"relative":[154],"entropy":[155],"rate.":[156],"These":[157,204],"tight,":[160],"depend":[161,196],"variance":[164],"observable,":[168],"computable":[171],"through":[172],"Monte":[173],"Carlo":[174],"simulation.":[175],"case":[178],"analysis,":[181],"derived":[183],"rely":[186],"Fisher":[190],"matrix,":[192],"hence":[194],"they":[195],"only":[197],"local":[199],"gradient-free.":[203],"features":[205],"allow":[206],"computationally":[208],"efficient":[209],"implementation":[210],"systems":[212],"e.g.,":[219],"reaction":[221],"networks":[222],"molecular":[224],"simulations.":[225]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2022-10-03T00:00:00"}
