{"id":"https://openalex.org/W3157219449","doi":"https://doi.org/10.1137/21m141659x","title":"Bayesian Inference of an Uncertain Generalized Diffusion Operator","display_name":"Bayesian Inference of an Uncertain Generalized Diffusion Operator","publication_year":2022,"publication_date":"2022-01-13","ids":{"openalex":"https://openalex.org/W3157219449","doi":"https://doi.org/10.1137/21m141659x","mag":"3157219449"},"language":"en","primary_location":{"id":"doi:10.1137/21m141659x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m141659x","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2105.01807","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004156954","display_name":"Teresa Portone","orcid":"https://orcid.org/0000-0002-6380-0852"},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Teresa Portone","raw_affiliation_strings":["Optimization and Uncertainty Quantification, Sandia National Laboratories, Albuquerque, NM, 87123"],"raw_orcid":"https://orcid.org/0000-0002-6380-0852","affiliations":[{"raw_affiliation_string":"Optimization and Uncertainty Quantification, Sandia National Laboratories, Albuquerque, NM, 87123","institution_ids":["https://openalex.org/I4210104735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011004406","display_name":"Robert Moser","orcid":"https://orcid.org/0000-0001-7735-1253"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert D. Moser","raw_affiliation_strings":["Oden Institute for Computational Engineering and Sciences, University of Texas at Austin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oden Institute for Computational Engineering and Sciences, University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011004406"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":1.1173,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79489071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":"1","first_page":"151","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"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":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.7618595957756042},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6846555471420288},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.5670049786567688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.512808620929718},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5009303092956543},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4735925495624542},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.4646645784378052},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36999040842056274},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3309571146965027},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1930239200592041},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.0967976450920105}],"concepts":[{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.7618595957756042},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6846555471420288},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5670049786567688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.512808620929718},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5009303092956543},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4735925495624542},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.4646645784378052},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36999040842056274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3309571146965027},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1930239200592041},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0967976450920105},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m141659x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m141659x","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:2105.01807","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.01807","pdf_url":"https://arxiv.org/pdf/2105.01807","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2105.01807","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.01807","pdf_url":"https://arxiv.org/pdf/2105.01807","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/G2263840398","display_name":null,"funder_award_id":"DE-SC0019303","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3618738895","display_name":null,"funder_award_id":"DE-SC0009286","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320310620","display_name":"University of Texas at Austin","ror":"https://ror.org/00hj54h04"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1965555277","https://openalex.org/W2029767409","https://openalex.org/W2043922553","https://openalex.org/W2071544114","https://openalex.org/W2080845106","https://openalex.org/W2082935924","https://openalex.org/W2088765131","https://openalex.org/W2101589741","https://openalex.org/W2125418826","https://openalex.org/W2127135659","https://openalex.org/W2138204001","https://openalex.org/W2149498546","https://openalex.org/W2162193517","https://openalex.org/W2162673614","https://openalex.org/W2332297685","https://openalex.org/W2342205144","https://openalex.org/W2413269158","https://openalex.org/W2569457803","https://openalex.org/W2797602122","https://openalex.org/W2950169853","https://openalex.org/W2962953485","https://openalex.org/W2963149929","https://openalex.org/W2980396542","https://openalex.org/W3087889215","https://openalex.org/W3102642326","https://openalex.org/W3118969069","https://openalex.org/W3151825275","https://openalex.org/W4229828140","https://openalex.org/W4230924274","https://openalex.org/W4234552385","https://openalex.org/W4242795515","https://openalex.org/W4300048831"],"related_works":["https://openalex.org/W137830373","https://openalex.org/W3000984192","https://openalex.org/W2103073163","https://openalex.org/W4286952477","https://openalex.org/W4321348134","https://openalex.org/W2372267530","https://openalex.org/W2969189870","https://openalex.org/W2965643117","https://openalex.org/W4303857162","https://openalex.org/W2407375987"],"abstract_inverted_index":{"This":[0],"paper":[1],"defines":[2],"a":[3,16,66,70,132,151],"novel":[4],"Bayesian":[5],"inverse":[6,127],"problem":[7,128],"to":[8],"infer":[9],"an":[10,22,55,62],"infinite-dimensional":[11],"uncertain":[12],"operator":[13,36,43,59],"appearing":[14,60],"in":[15,45,52,61,99],"differential":[17],"equation,":[18],"whose":[19],"action":[20],"on":[21,87,122,142],"observable":[23],"state":[24,110],"variable":[25],"affects":[26],"its":[27,38],"dynamics.":[28],"Inference":[29],"is":[30,50,129,148],"made":[31],"tractable":[32],"by":[33],"parametrizing":[34],"the":[35,46,82,88,91,97,100,103,109,120,123,126,135,146],"using":[37],"eigendecomposition.":[39],"The":[40],"plausibility":[41],"of":[42,54,84,93,102,108,125,134,137],"inference":[44],"sparse":[47],"data":[48,75,116,147],"regime":[49],"explored":[51],"terms":[53],"uncertain,":[56],"generalized":[57],"diffusion":[58],"evolution":[63,112],"equation":[64],"for":[65,117],"contaminant's":[67],"transport":[68],"through":[69,81],"heterogeneous":[71],"porous":[72],"medium.":[73],"Sparse":[74],"are":[76,113],"augmented":[77],"with":[78],"prior":[79,104],"information":[80,95],"imposition":[83],"deterministic":[85],"constraints":[86],"eigendecomposition":[89],"and":[90,119],"use":[92],"qualitative":[94],"about":[96],"system":[98],"definition":[101],"distribution.":[105],"Limited":[106],"observations":[107],"variable's":[111],"used":[114],"as":[115,131,139,141,150],"inference,":[118],"dependence":[121],"solution":[124],"studied":[130],"function":[133],"frequency":[136],"observations,":[138],"well":[140],"whether":[143],"or":[144,153],"not":[145],"collected":[149],"spatial":[152],"time":[154],"series.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}