{"id":"https://openalex.org/W3036107568","doi":"https://doi.org/10.1137/20m1347292","title":"Optimal Design of Large-scale Bayesian Linear Inverse Problems Under Reducible Model Uncertainty: Good to Know What You Don't Know","display_name":"Optimal Design of Large-scale Bayesian Linear Inverse Problems Under Reducible Model Uncertainty: Good to Know What You Don't Know","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3036107568","doi":"https://doi.org/10.1137/20m1347292","mag":"3036107568"},"language":"en","primary_location":{"id":"doi:10.1137/20m1347292","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1347292","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/2006.11939","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037337131","display_name":"Alen Alexanderian","orcid":"https://orcid.org/0000-0002-6371-6618"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alen Alexanderian","raw_affiliation_strings":["North Carolina State University ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University ,","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057284080","display_name":"No\u00e9mi Petra","orcid":"https://orcid.org/0000-0002-9491-0034"},"institutions":[{"id":"https://openalex.org/I156087764","display_name":"University of California, Merced","ror":"https://ror.org/00d9ah105","country_code":"US","type":"education","lineage":["https://openalex.org/I156087764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Noemi Petra","raw_affiliation_strings":["University of California Merced"],"raw_orcid":"https://orcid.org/0000-0002-9491-0034","affiliations":[{"raw_affiliation_string":"University of California Merced","institution_ids":["https://openalex.org/I156087764"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012373865","display_name":"Georg Stadler","orcid":"https://orcid.org/0000-0001-7762-6544"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Georg Stadler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5009220574","display_name":"Isaac Sunseri","orcid":"https://orcid.org/0000-0001-6545-2241"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Isaac Sunseri","raw_affiliation_strings":["North Carolina State University ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University ,","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5037337131"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0059804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"1","first_page":"163","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994999766349792,"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":0.9994999766349792,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6970926523208618},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.6367367506027222},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6259890794754028},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.6241695880889893},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6115804314613342},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6028276681900024},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6007070541381836},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5935326814651489},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5444846749305725},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"Sensitivity analysis","score":0.5146161317825317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5076943635940552},{"id":"https://openalex.org/keywords/uncertainty-analysis","display_name":"Uncertainty analysis","score":0.48763981461524963},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4505586326122284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4474244713783264},{"id":"https://openalex.org/keywords/bayesian-experimental-design","display_name":"Bayesian experimental design","score":0.4419707655906677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41079115867614746},{"id":"https://openalex.org/keywords/bayesian-statistics","display_name":"Bayesian statistics","score":0.284722238779068},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16181540489196777},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08462908864021301},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07497790455818176}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6970926523208618},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.6367367506027222},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6259890794754028},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.6241695880889893},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6115804314613342},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6028276681900024},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6007070541381836},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5935326814651489},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5444846749305725},{"id":"https://openalex.org/C176147448","wikidata":"https://www.wikidata.org/wiki/Q1889114","display_name":"Sensitivity analysis","level":3,"score":0.5146161317825317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5076943635940552},{"id":"https://openalex.org/C177803969","wikidata":"https://www.wikidata.org/wiki/Q29205","display_name":"Uncertainty analysis","level":2,"score":0.48763981461524963},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4505586326122284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4474244713783264},{"id":"https://openalex.org/C99173435","wikidata":"https://www.wikidata.org/wiki/Q4874469","display_name":"Bayesian experimental design","level":5,"score":0.4419707655906677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41079115867614746},{"id":"https://openalex.org/C101112237","wikidata":"https://www.wikidata.org/wiki/Q4874481","display_name":"Bayesian statistics","level":4,"score":0.284722238779068},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16181540489196777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08462908864021301},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07497790455818176},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1347292","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1347292","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:2006.11939","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.11939","pdf_url":"https://arxiv.org/pdf/2006.11939","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:3036107568","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2006.11939.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.2006.11939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.11939","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:2006.11939","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.11939","pdf_url":"https://arxiv.org/pdf/2006.11939","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":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G4448695060","display_name":null,"funder_award_id":"1723211","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G4471187294","display_name":null,"funder_award_id":"1745654","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8259249004","display_name":null,"funder_award_id":"1654311","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3036107568.pdf","grobid_xml":"https://content.openalex.org/works/W3036107568.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W575374134","https://openalex.org/W1506975760","https://openalex.org/W1602844557","https://openalex.org/W1837874438","https://openalex.org/W1985666665","https://openalex.org/W2014018052","https://openalex.org/W2015466518","https://openalex.org/W2027831993","https://openalex.org/W2069626069","https://openalex.org/W2096080920","https://openalex.org/W2131824593","https://openalex.org/W2149498546","https://openalex.org/W2157186153","https://openalex.org/W2323750980","https://openalex.org/W2524524183","https://openalex.org/W2589941215","https://openalex.org/W2784241723","https://openalex.org/W2788406418","https://openalex.org/W2884751849","https://openalex.org/W2962707560","https://openalex.org/W2963199582","https://openalex.org/W2963427446","https://openalex.org/W2963466485","https://openalex.org/W2994799107","https://openalex.org/W3005029768","https://openalex.org/W3007539587","https://openalex.org/W3032366182","https://openalex.org/W3033289058","https://openalex.org/W3034529257","https://openalex.org/W3099438294","https://openalex.org/W3102913725","https://openalex.org/W3106222426"],"related_works":["https://openalex.org/W2116029409","https://openalex.org/W3006121950","https://openalex.org/W177930085","https://openalex.org/W2963820369","https://openalex.org/W806215503","https://openalex.org/W2003929675","https://openalex.org/W2939824146","https://openalex.org/W2061472584","https://openalex.org/W3145887658","https://openalex.org/W2571545337","https://openalex.org/W207801805","https://openalex.org/W2011341964","https://openalex.org/W2321753816","https://openalex.org/W2760934243","https://openalex.org/W1517671156","https://openalex.org/W2963568854","https://openalex.org/W2963358780","https://openalex.org/W2186964369","https://openalex.org/W2401473610","https://openalex.org/W2356200296"],"abstract_inverted_index":{"We":[0,45,66,84],"consider":[1],"optimal":[2],"design":[3,119],"of":[4],"infinite-dimensional":[5],"Bayesian":[6],"linear":[7],"inverse":[8],"problems":[9],"governed":[10],"by":[11,69],"partial":[12],"differential":[13],"equations":[14],"that":[15,38,49,110],"contain":[16],"secondary":[17,64,105],"reducible":[18,31],"model":[19,98,114],"uncertainties,":[20],"in":[21,26,54,63,94,116],"addition":[22],"to":[23,35],"the":[24,27,51,55,61,117],"uncertainty":[25,53,62,115],"inversion":[28],"parameters.":[29,65],"By":[30],"uncertainties":[32,37],"we":[33],"refer":[34],"parametric":[36],"can":[39],"be":[40],"reduced":[41],"through":[42],"parameter":[43],"inference.":[44],"seek":[46],"experimental":[47,118],"designs":[48],"minimize":[50],"posterior":[52],"primary":[56],"parameters":[57],"while":[58],"accounting":[59,111],"for":[60,81,88,112],"accomplish":[67],"this":[68],"deriving":[70],"a":[71,95],"marginalized":[72],"A-optimality":[73],"criterion":[74],"and":[75],"developing":[76],"an":[77,90,100],"efficient":[78],"computational":[79],"approach":[80,87],"its":[82],"optimization.":[83],"illustrate":[85],"our":[86],"estimating":[89],"uncertain":[91,101],"time-dependent":[92],"source":[93],"contaminant":[96],"transport":[97],"with":[99],"initial":[102],"state":[103],"as":[104],"uncertainty.":[106],"Our":[107],"results":[108],"indicate":[109],"additional":[113],"process":[120],"is":[121],"crucial.":[122]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}