{"id":"https://openalex.org/W2735401775","doi":"https://doi.org/10.1515/amcs-2017-0016","title":"A Dynamic BI\u2013Orthogonal Field Equation Approach to Efficient Bayesian Inversion","display_name":"A Dynamic BI\u2013Orthogonal Field Equation Approach to Efficient Bayesian Inversion","publication_year":2017,"publication_date":"2017-06-27","ids":{"openalex":"https://openalex.org/W2735401775","doi":"https://doi.org/10.1515/amcs-2017-0016","mag":"2735401775"},"language":"en","primary_location":{"id":"doi:10.1515/amcs-2017-0016","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2017-0016","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/2/article-p229.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/2/article-p229.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077267926","display_name":"Piyush Tagade","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139030","display_name":"Samsung (India)","ror":"https://ror.org/04cpx2569","country_code":"IN","type":"company","lineage":["https://openalex.org/I2250650973","https://openalex.org/I4210139030"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Piyush M. Tagade","raw_affiliation_strings":["Samsung Advanced Institute of Technology Samsung R&D Institute India, Bangalore 560 037, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Samsung Advanced Institute of Technology Samsung R&D Institute India, Bangalore 560 037, India","institution_ids":["https://openalex.org/I4210139030"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049291168","display_name":"Han\u2010Lim Choi","orcid":"https://orcid.org/0000-0003-3985-0419"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Han-Lim Choi","raw_affiliation_strings":["Department of Aerospace Engineering KAIST, 291 Daehak-ro, Yuseong, Deajeon 34141, Korea (Republic of)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering KAIST, 291 Daehak-ro, Yuseong, Deajeon 34141, Korea (Republic of)","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049291168"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09192733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"2","first_page":"229","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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":1.0,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9900000095367432,"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"}},{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"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/polynomial-chaos","display_name":"Polynomial chaos","score":0.7924940586090088},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6409223079681396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5459895730018616},{"id":"https://openalex.org/keywords/random-field","display_name":"Random field","score":0.5208730697631836},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.4980900287628174},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4459180533885956},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4346335530281067},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.42618095874786377},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.32599520683288574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30600571632385254},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.25399327278137207},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16458803415298462}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.7924940586090088},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6409223079681396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5459895730018616},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.5208730697631836},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.4980900287628174},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4459180533885956},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4346335530281067},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.42618095874786377},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.32599520683288574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30600571632385254},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.25399327278137207},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16458803415298462},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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":2,"locations":[{"id":"doi:10.1515/amcs-2017-0016","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2017-0016","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/2/article-p229.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1285fdb1e9c342b6a6265b607c2db9bf","is_oa":true,"landing_page_url":"https://doaj.org/article/1285fdb1e9c342b6a6265b607c2db9bf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 27, Iss 2, Pp 229-243 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/amcs-2017-0016","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2017-0016","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/2/article-p229.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5693178762","display_name":null,"funder_award_id":"EEWS-2016-N11160018","funder_id":"https://openalex.org/F4320324161","funder_display_name":"Korea Advanced Institute of Science and Technology"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6071252945","display_name":null,"funder_award_id":"FA9550-12","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7609397557","display_name":null,"funder_award_id":"FA9550-12-1-0313","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7999580237","display_name":null,"funder_award_id":"FA9550-12-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320324161","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2735401775.pdf","grobid_xml":"https://content.openalex.org/works/W2735401775.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1538934584","https://openalex.org/W1920486552","https://openalex.org/W1970273374","https://openalex.org/W1971941463","https://openalex.org/W1972133652","https://openalex.org/W1973333099","https://openalex.org/W1977631358","https://openalex.org/W1988684120","https://openalex.org/W1989457171","https://openalex.org/W2005288208","https://openalex.org/W2017880874","https://openalex.org/W2018159038","https://openalex.org/W2019797126","https://openalex.org/W2022264564","https://openalex.org/W2026229312","https://openalex.org/W2027319489","https://openalex.org/W2036942504","https://openalex.org/W2042014631","https://openalex.org/W2042221696","https://openalex.org/W2045860903","https://openalex.org/W2049882758","https://openalex.org/W2056760934","https://openalex.org/W2058522416","https://openalex.org/W2061296385","https://openalex.org/W2063717291","https://openalex.org/W2065588677","https://openalex.org/W2066261856","https://openalex.org/W2067352775","https://openalex.org/W2074686342","https://openalex.org/W2077180405","https://openalex.org/W2077545453","https://openalex.org/W2080577297","https://openalex.org/W2083754610","https://openalex.org/W2086077633","https://openalex.org/W2087257783","https://openalex.org/W2092612581","https://openalex.org/W2095921114","https://openalex.org/W2102769315","https://openalex.org/W2119334003","https://openalex.org/W2125107816","https://openalex.org/W2130588186","https://openalex.org/W2136037939","https://openalex.org/W2136602340","https://openalex.org/W2138309709","https://openalex.org/W2152657433","https://openalex.org/W2167949596","https://openalex.org/W2169022172","https://openalex.org/W2170096303","https://openalex.org/W2293666021","https://openalex.org/W2321957512","https://openalex.org/W2332771484","https://openalex.org/W2338456806","https://openalex.org/W2572039822","https://openalex.org/W2690561861","https://openalex.org/W2963752845","https://openalex.org/W3105008132","https://openalex.org/W4256038730"],"related_works":["https://openalex.org/W2245403906","https://openalex.org/W4286382504","https://openalex.org/W2393344178","https://openalex.org/W2797263970","https://openalex.org/W3031340132","https://openalex.org/W2783398617","https://openalex.org/W2999616507","https://openalex.org/W3033565194","https://openalex.org/W2082282986","https://openalex.org/W2104197120"],"abstract_inverted_index":{"Abstract":[0],"This":[1,162],"paper":[2,80],"proposes":[3],"a":[4,17,43,47,57,123,136,149,211,232,237],"novel":[5],"computationally":[6],"efficient":[7,194],"stochastic":[8,64,88,114,160],"spectral":[9],"projection":[10],"based":[11,32],"approach":[12],"to":[13,101,140,174,188],"Bayesian":[14,191],"inversion":[15],"of":[16,36,59,109,119,122,133,138,145,151,158,164,182,196,202,210,226],"computer":[18],"simulator":[19,215],"with":[20,216],"high":[21],"dimensional":[22],"parametric":[23,172],"and":[24,42,65,90,112,221,236],"model":[25],"structure":[26],"uncertainty.":[27],"The":[28,51,116,178,200,223],"proposed":[29,204],"method":[30,205,228,235],"is":[31,54,99,186,206,229],"on":[33],"the":[34,37,78,87,94,106,113,130,134,142,159,170,175,183,190,197,203,227],"decomposition":[35],"solution":[38],"into":[39],"its":[40],"mean":[41],"random":[44,52],"field":[45,53],"using":[46,72],"generic":[48],"Karhunen-Lo\u00e8ve":[49],"expansion.":[50],"represented":[55,71],"as":[56],"convolution":[58],"separable":[60],"Hilbert":[61],"spaces":[62],"in":[63],"spatial":[66,95,111],"dimensions":[67],"that":[68,128],"are":[69],"spectrally":[70],"respective":[73],"orthogonal":[74],"bases.":[75],"In":[76],"particular,":[77],"present":[79],"investigates":[81],"generalized":[82,238],"polynomial":[83,239],"chaos":[84,240],"bases":[85,92],"for":[86,93,105,193,208],"dimension":[89],"eigenfunction":[91,146],"dimension.":[96],"Dynamic":[97],"orthogonality":[98],"used":[100,187],"derive":[102],"closed-form":[103],"equations":[104,120,154,167],"time":[107,143],"evolution":[108,132,144,166],"mean,":[110,135],"fields.":[115],"resultant":[117],"system":[118,163,176,184],"consists":[121],"partial":[124],"differential":[125,153],"equation":[126],"(PDE)":[127],"defines":[129],"dynamic":[131,165],"set":[137,150],"PDEs":[139],"define":[141,156],"bases,":[147],"while":[148],"ordinary":[152],"(ODEs)":[155],"dynamics":[157],"field.":[161],"efficiently":[168],"propagates":[169],"prior":[171],"uncertainty":[173],"response.":[177],"resulting":[179],"bi-orthogonal":[180],"expansion":[181],"response":[185],"reformulate":[189],"inference":[192],"exploration":[195],"posterior":[198],"distribution.":[199],"efficacy":[201],"investigated":[207],"calibration":[209],"2D":[212],"transient":[213],"diffusion":[214],"an":[217],"uncertain":[218],"source":[219],"location":[220],"diffusivity.":[222],"computational":[224],"efficiency":[225],"demonstrated":[230],"against":[231],"Monte":[233],"Carlo":[234],"approach.":[241]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2017-07-21T00:00:00"}