{"id":"https://openalex.org/W4247044597","doi":"https://doi.org/10.1201/b16387-469","title":"Sparse polynomial chaos expansions of vector-valued response quantities","display_name":"Sparse polynomial chaos expansions of vector-valued response quantities","publication_year":2014,"publication_date":"2014-01-09","ids":{"openalex":"https://openalex.org/W4247044597","doi":"https://doi.org/10.1201/b16387-469"},"language":"en","primary_location":{"id":"doi:10.1201/b16387-469","doi":"https://doi.org/10.1201/b16387-469","is_oa":false,"landing_page_url":"https://doi.org/10.1201/b16387-469","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2480854232","display_name":"Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures"},"type":"book-chapter","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/A5016926137","display_name":"G\u00e9raud Blatman","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G Blatman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024390567","display_name":"Bruno Sudret","orcid":"https://orcid.org/0000-0002-9501-7395","observed_orcids":["https://orcid.org/0000-0002-9501-7395"]},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210143116","display_name":"\u00c9lectricit\u00e9 de France (France)","ror":"https://ror.org/03wb8xz10","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210143116"]},{"id":"https://openalex.org/I4405253720","display_name":"Institute of Structural Engineering","ror":"https://ror.org/010kh0a92","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4405253720"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"B Sudret","raw_affiliation_strings":["Institute of Structural Engineering Chair of Risk, Safety and Uncertainty Quantification ETH Z\u00fcrich, Switzerland","Materials and Mechanics of Components Department EDF R&D, Moret-sur-Loing, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Structural Engineering Chair of Risk, Safety and Uncertainty Quantification ETH Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4405253720"]},{"raw_affiliation_string":"Materials and Mechanics of Components Department EDF R&D, Moret-sur-Loing, France","institution_ids":["https://openalex.org/I4210143116"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0851,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.86138614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3245","last_page":"3252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9926999807357788,"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":0.9926999807357788,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.003100000089034438,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.001500000013038516,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sparse-polynomial-chaos-expansion","display_name":"sparse polynomial chaos expansion","score":0.9100000262260437},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"uncertainty quantification","score":0.9470000267028809},{"id":"https://openalex.org/keywords/least-angle-regression","display_name":"least angle regression","score":0.8050000071525574},{"id":"https://openalex.org/keywords/penalized-regression","display_name":"penalized regression","score":0.828000009059906},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"principal component analysis","score":0.8980000019073486},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equations","display_name":"stochastic partial differential equations","score":0.871999979019165},{"id":"https://openalex.org/keywords/non-intrusive-uncertainty-quantification","display_name":"non-intrusive uncertainty quantification","score":0.8130000233650208},{"id":"https://openalex.org/keywords/lognormal-random-field","display_name":"lognormal random field","score":0.48100000619888306},{"id":"https://openalex.org/keywords/tension-rods","display_name":"tension rods","score":0.7870000004768372},{"id":"https://openalex.org/keywords/displacement-field","display_name":"displacement field","score":0.6990000009536743},{"id":"https://openalex.org/keywords/high-dimensional-random-variables","display_name":"high-dimensional random variables","score":0.7680000066757202}],"concepts":[{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.7096560001373291},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.6805307865142822},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5658938884735107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5491297245025635},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4960514008998871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2533375322818756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22068604826927185},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13253864645957947},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1201/b16387-469","doi":"https://doi.org/10.1201/b16387-469","is_oa":false,"landing_page_url":"https://doi.org/10.1201/b16387-469","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2045355467","https://openalex.org/W2063978378","https://openalex.org/W2092047866"],"related_works":["https://openalex.org/W2797263970","https://openalex.org/W2083415217","https://openalex.org/W3003643948","https://openalex.org/W1985443432","https://openalex.org/W2113127808","https://openalex.org/W2045355467","https://openalex.org/W4410240065","https://openalex.org/W2564963919","https://openalex.org/W4310673591","https://openalex.org/W2642249342"],"abstract_inverted_index":{"Sparse":[0],"polynomial":[1],"chaos":[2],"expansions":[3,108],"have":[4],"recently":[5],"emerged":[6],"in":[7,47,88],"uncertainty":[8],"quantification":[9],"analysis":[10,34,103],"as":[11],"a":[12,22,26,48,72,113,115,127,148],"tool":[13],"to":[14,25,58,84,90],"solve":[15],"high":[16],"dimensional":[17],"problems,":[18],"e.g.stochastic":[19],"problems":[20],"involving":[21],"few":[23,27],"dozens":[24],"hundred":[28],"random":[29],"variables.Based":[30],"on":[31,126],"penalized":[32],"regression":[33,40],"and":[35],"the":[36,42,69,92,106,110,133,141,144],"so-called":[37],"least":[38],"angle":[39],"algorithm":[41],"method":[43],"has":[44],"proven":[45],"efficiency":[46],"number":[49],"of":[50,63,71,109,129,132,143,147],"applications.The":[51],"approach":[52,83,137],"was":[53],"so":[54],"far":[55],"rather":[56],"limited":[57],"scalar":[59],"output":[60,86],"quantities,":[61],"e.g.quantities":[62],"interest":[64],"that":[65,122],"are":[66],"post-processed":[67],"from":[68],"solution":[70,94],"stochastic":[73,160],"partial":[74],"differential":[75],"equation":[76],"(SPDE).In":[77],"this":[78,82],"paper":[79],"we":[80],"extend":[81],"vector":[85],"quantities":[87],"order":[89],"obtain":[91],"complete":[93,116],"field.This":[95],"is":[96,120,123,138],"carried":[97],"out":[98],"by":[99,140],"using":[100],"principal":[101],"component":[102],"before":[104],"computing":[105],"PC":[107],"various":[111],"components.As":[112],"whole":[114],"non":[117],"intrusive":[118],"framework":[119],"obtained":[121],"only":[124],"based":[125],"set":[128],"deterministic":[130,135],"solutions":[131],"underlying":[134],"problem.The":[136],"illustrated":[139],"computation":[142],"displacement":[145],"field":[146],"tension":[149],"rod":[150],"with":[151],"lognormal,":[152],"spatially":[153],"variable":[154],"Young's":[155],"modulus.The":[156],"problem":[157],"exhibits":[158],"62":[159],"dimensions.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2022-05-12T00:00:00"}