{"id":"https://openalex.org/W2070404799","doi":"https://doi.org/10.1137/130930406","title":"A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest","display_name":"A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2070404799","doi":"https://doi.org/10.1137/130930406","mag":"2070404799"},"language":"en","primary_location":{"id":"doi:10.1137/130930406","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130930406","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070002036","display_name":"Troy Butler","orcid":"https://orcid.org/0000-0001-7177-3105"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Butler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040558337","display_name":"Donald Estep","orcid":"https://orcid.org/0000-0003-0687-2080"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. Estep","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017115099","display_name":"Simon Tavener","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Tavener","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089253713","display_name":"Clint Dawson","orcid":"https://orcid.org/0000-0001-7273-0684"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Dawson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087228134","display_name":"Joannes J. Westerink","orcid":"https://orcid.org/0000-0003-0602-0494"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. J. Westerink","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3792,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.87155725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2","issue":"1","first_page":"174","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11483","display_name":"Tropical and Extratropical Cyclones Research","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11483","display_name":"Tropical and Extratropical Cyclones Research","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10930","display_name":"Flood Risk Assessment and Management","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6803814768791199},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6708768010139465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.595431923866272},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5813884735107422},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5613744854927063},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4583136737346649},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.43830546736717224},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4281192421913147},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42804965376853943},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.41808658838272095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30755987763404846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19950896501541138},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14821866154670715},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10198593139648438}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6803814768791199},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6708768010139465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.595431923866272},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5813884735107422},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5613744854927063},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4583136737346649},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.43830546736717224},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4281192421913147},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42804965376853943},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.41808658838272095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30755987763404846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19950896501541138},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14821866154670715},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10198593139648438},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130930406","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130930406","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1538934584","https://openalex.org/W1990569788","https://openalex.org/W2041771460","https://openalex.org/W2049442160","https://openalex.org/W2070183717","https://openalex.org/W2072403451","https://openalex.org/W2089231541","https://openalex.org/W2174075503"],"related_works":["https://openalex.org/W4293333117","https://openalex.org/W2367522048","https://openalex.org/W2093527081","https://openalex.org/W3164566165","https://openalex.org/W2012322798","https://openalex.org/W2033040186","https://openalex.org/W2156237776","https://openalex.org/W2996712820","https://openalex.org/W2377069966","https://openalex.org/W4287993254"],"abstract_inverted_index":{"We":[0,47,63,84,110,128],"consider":[1,65],"inverse":[2,38,71,92,122],"problems":[3],"for":[4,31,51,119],"a":[5,49,53,66,75,86,137],"deterministic":[6],"model":[7,21],"in":[8,59,73],"which":[9,74],"the":[10,13,20,25,28,32,37,56,60,70,79,90,96,101,107,120,130,134,154],"dimension":[11,26],"of":[12,16,27,45,55,69,89,100,133,159],"output":[14,80],"quantities":[15,30,81],"interest":[17],"computed":[18],"from":[19,147],"is":[22,82,150],"smaller":[23],"than":[24],"input":[29],"model.":[33],"In":[34],"this":[35],"case,":[36],"problem":[39,72,123],"admits":[40],"set-valued":[41,57],"solutions":[42,58],"(equivalence":[43],"classes":[44],"solutions).":[46],"devise":[48],"method":[50,118],"approximating":[52],"representation":[54],"parameter":[61],"domain.":[62],"then":[64,94],"stochastic":[67,91,121],"version":[68],"probability":[76],"distribution":[77],"on":[78,125,136],"specified.":[83],"construct":[85],"measure-theoretic":[87,126],"formulation":[88],"problem,":[93],"develop":[95,112],"existence":[97],"and":[98,106,113],"structure":[99],"solution":[102,117],"using":[103],"measure":[104],"theory":[105,135],"disintegration":[108],"theorem.":[109],"also":[111],"analyze":[114],"an":[115],"approximate":[116],"based":[124],"techniques.":[127],"demonstrate":[129],"numerical":[131],"implementation":[132],"high-dimensional":[138],"storm":[139],"surge":[140,145],"application":[141],"where":[142],"simulated":[143],"noisy":[144],"data":[146],"Hurricane":[148],"Katrina":[149],"used":[151],"to":[152],"determine":[153],"spatially":[155],"variable":[156],"bathymetry":[157],"fields":[158],"highest":[160],"probability.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}