{"id":"https://openalex.org/W2941858295","doi":"https://doi.org/10.1137/18m118061x","title":"PC Translation Models for Random Vectors and Multivariate Extremes","display_name":"PC Translation Models for Random Vectors and Multivariate Extremes","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2941858295","doi":"https://doi.org/10.1137/18m118061x","mag":"2941858295"},"language":"en","primary_location":{"id":"doi:10.1137/18m118061x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m118061x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Journal on Scientific Computing","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/A5047092426","display_name":"Mircea Grigoriu","orcid":"https://orcid.org/0000-0002-4346-9357"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mircea Grigoriu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5047092426"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.03848508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"41","issue":"2","first_page":"A1228","last_page":"A1251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"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":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9544000029563904,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9423999786376953,"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/translation","display_name":"Translation (biology)","score":0.7699389457702637},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6300680637359619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6232839226722717},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.5542254447937012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5518593788146973},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5233870148658752},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4876784086227417},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45164841413497925},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4512070119380951},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45000720024108887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3502325415611267},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.2103249728679657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15689653158187866},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15072700381278992}],"concepts":[{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.7699389457702637},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6300680637359619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6232839226722717},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.5542254447937012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5518593788146973},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5233870148658752},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4876784086227417},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45164841413497925},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4512070119380951},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45000720024108887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3502325415611267},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.2103249728679657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15689653158187866},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15072700381278992},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m118061x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m118061x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2416734728","display_name":null,"funder_award_id":"CMMI-1639669","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2917587613","display_name":null,"funder_award_id":"CMMI-1265511","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1740774380","https://openalex.org/W1963649399","https://openalex.org/W1966109017","https://openalex.org/W1973520764","https://openalex.org/W1977808362","https://openalex.org/W1982769461","https://openalex.org/W1988613593","https://openalex.org/W1992033071","https://openalex.org/W1995565517","https://openalex.org/W1995717170","https://openalex.org/W2001136571","https://openalex.org/W2012605493","https://openalex.org/W2018159038","https://openalex.org/W2018418894","https://openalex.org/W2018655422","https://openalex.org/W2018756528","https://openalex.org/W2046113245","https://openalex.org/W2066924654","https://openalex.org/W2130871478","https://openalex.org/W2173517407","https://openalex.org/W2179266671","https://openalex.org/W2217179129","https://openalex.org/W2522314214","https://openalex.org/W2617191513"],"related_works":["https://openalex.org/W339217817","https://openalex.org/W2797263970","https://openalex.org/W2891782306","https://openalex.org/W2287391662","https://openalex.org/W4381886630","https://openalex.org/W2971126152","https://openalex.org/W2103244625","https://openalex.org/W2142056387","https://openalex.org/W2789381754","https://openalex.org/W4300567873"],"abstract_inverted_index":{"A":[0],"novel":[1],"class":[2],"of":[3,33,46,81],"models,":[4,12],"referred":[5],"to":[6,41,52,60,75],"as":[7],"polynomial":[8],"chaos":[9],"(PC)":[10],"translation":[11,55,63,83],"is":[13],"developed":[14],"for":[15],"non-Gaussian":[16],"vectors.":[17],"The":[18,57],"models":[19,64],"match":[20],"target":[21],"marginal":[22],"distributions":[23],"exactly":[24],"and":[25,65,79],"dependence":[26],"structures":[27],"approximately.":[28],"They":[29],"are":[30,39,50,69,73],"nonlinear":[31],"transformations":[32],"truncated":[34,66],"PC":[35,54,62,67,82],"expansions":[36,68],"whose":[37],"coefficients":[38],"selected":[40],"best":[42],"describe":[43],"specified":[44],"quantities":[45],"interest.":[47],"Optimization":[48],"algorithms":[49],"used":[51],"implement":[53,61],"models.":[56,84],"computation":[58],"demands":[59],"similar.":[70],"Numerical":[71],"examples":[72],"presented":[74],"illustrate":[76],"the":[77],"implementation":[78],"performance":[80]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}