{"id":"https://openalex.org/W2963851507","doi":"https://doi.org/10.1137/17m1148955","title":"Sliced-Inverse-Regression--Aided Rotated Compressive Sensing Method for Uncertainty Quantification","display_name":"Sliced-Inverse-Regression--Aided Rotated Compressive Sensing Method for Uncertainty Quantification","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2963851507","doi":"https://doi.org/10.1137/17m1148955","mag":"2963851507"},"language":"en","primary_location":{"id":"doi:10.1137/17m1148955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1148955","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":["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/A5087963011","display_name":"Xiu Yang","orcid":"https://orcid.org/0000-0003-0882-2650"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiu Yang","raw_affiliation_strings":["Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland, WA 99352"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland, WA 99352","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100666417","display_name":"Weixuan Li","orcid":"https://orcid.org/0000-0001-6755-3783"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weixuan Li","raw_affiliation_strings":["Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland, WA 99352"],"raw_orcid":"https://orcid.org/0000-0001-6755-3783","affiliations":[{"raw_affiliation_string":"Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland, WA 99352","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058959716","display_name":"Alexandre M. Tartakovsky","orcid":"https://orcid.org/0000-0003-2375-318X"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexandre Tartakovsky","raw_affiliation_strings":["Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland, WA 99352"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland, WA 99352","institution_ids":["https://openalex.org/I142606810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087963011"],"corresponding_institution_ids":["https://openalex.org/I142606810"],"apc_list":null,"apc_paid":null,"fwci":0.4163,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62999896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"6","issue":"4","first_page":"1532","last_page":"1554"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991999864578247,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6811829209327698},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.6194022297859192},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.602581262588501},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.6000972390174866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5817029476165771},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5248824954032898},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5134321451187134},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5125336647033691},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4789588749408722},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.47558844089508057},{"id":"https://openalex.org/keywords/sliced-inverse-regression","display_name":"Sliced inverse regression","score":0.43821412324905396},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4345960319042206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41974782943725586},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4042378067970276},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.22944077849388123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21146243810653687},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1743343472480774},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1551264524459839}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6811829209327698},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.6194022297859192},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.602581262588501},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.6000972390174866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5817029476165771},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5248824954032898},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5134321451187134},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5125336647033691},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4789588749408722},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.47558844089508057},{"id":"https://openalex.org/C41341539","wikidata":"https://www.wikidata.org/wiki/Q7540242","display_name":"Sliced inverse regression","level":3,"score":0.43821412324905396},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4345960319042206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41974782943725586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4042378067970276},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.22944077849388123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21146243810653687},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1743343472480774},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1551264524459839},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1148955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1148955","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1899721271","display_name":null,"funder_award_id":"AC05-76RL01830","funder_id":"https://openalex.org/F4320306250","funder_display_name":"Battelle"},{"id":"https://openalex.org/G1967746503","display_name":null,"funder_award_id":"DE-AC05-76RL01830","funder_id":"https://openalex.org/F4320338354","funder_display_name":"Pacific Northwest National Laboratory"},{"id":"https://openalex.org/G2506945562","display_name":null,"funder_award_id":"76RL01830","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2510423872","display_name":null,"funder_award_id":"AC05-76RL01830","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2865512842","display_name":null,"funder_award_id":"DE-AC05-76RL01830","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G5200347334","display_name":null,"funder_award_id":"DE-AC05-76RL01830","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5321382714","display_name":null,"funder_award_id":"76RL01830","funder_id":"https://openalex.org/F4320338354","funder_display_name":"Pacific Northwest National Laboratory"},{"id":"https://openalex.org/G5726405315","display_name":null,"funder_award_id":"DE-AC05","funder_id":"https://openalex.org/F4320306250","funder_display_name":"Battelle"},{"id":"https://openalex.org/G6664334341","display_name":null,"funder_award_id":"DE-AC05-76RL01830","funder_id":"https://openalex.org/F4320306250","funder_display_name":"Battelle"},{"id":"https://openalex.org/G7125981805","display_name":null,"funder_award_id":"DE-AC05-76RL01830","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7995982022","display_name":null,"funder_award_id":"DE-AC05","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/F4320306250","display_name":"Battelle","ror":"https://ror.org/01h5tnr73"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338354","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W649382544","https://openalex.org/W1557892661","https://openalex.org/W1703658160","https://openalex.org/W1965093639","https://openalex.org/W1976709621","https://openalex.org/W1980635834","https://openalex.org/W1984320340","https://openalex.org/W1997384244","https://openalex.org/W2003639682","https://openalex.org/W2009951217","https://openalex.org/W2015418199","https://openalex.org/W2018159038","https://openalex.org/W2029800393","https://openalex.org/W2035665246","https://openalex.org/W2043454526","https://openalex.org/W2053469438","https://openalex.org/W2055064119","https://openalex.org/W2056558085","https://openalex.org/W2060528584","https://openalex.org/W2083042020","https://openalex.org/W2089106993","https://openalex.org/W2093879565","https://openalex.org/W2097323375","https://openalex.org/W2103452908","https://openalex.org/W2107861471","https://openalex.org/W2111758728","https://openalex.org/W2129131372","https://openalex.org/W2140951396","https://openalex.org/W2141454789","https://openalex.org/W2142635246","https://openalex.org/W2143591652","https://openalex.org/W2146476360","https://openalex.org/W2150062983","https://openalex.org/W2163490846","https://openalex.org/W2164452299","https://openalex.org/W2168175751","https://openalex.org/W2171050905","https://openalex.org/W2171971725","https://openalex.org/W2256307465","https://openalex.org/W2332771484","https://openalex.org/W2398436715","https://openalex.org/W2474787018","https://openalex.org/W2597578662","https://openalex.org/W2618422357","https://openalex.org/W2620093262","https://openalex.org/W2963862882","https://openalex.org/W2964095301","https://openalex.org/W3106158919","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W2149356746","https://openalex.org/W2517755966","https://openalex.org/W3215394929","https://openalex.org/W3038021552","https://openalex.org/W2108001913","https://openalex.org/W2789381754","https://openalex.org/W2014910883","https://openalex.org/W3158222746","https://openalex.org/W2998325883","https://openalex.org/W2811262943"],"abstract_inverted_index":{"Compressive-sensing--based":[0],"uncertainty":[1,64],"quantification":[2,65],"methods":[3,128,148],"have":[4],"become":[5],"a":[6,47,104,134],"powerful":[7],"tool":[8],"for":[9,30,77],"problems":[10,156],"with":[11,99,122,157],"limited":[12,84],"data.":[13,126],"In":[14],"this":[15],"work,":[16],"we":[17],"use":[18],"the":[19,31,42,57,62,70,80,109,115,119,138,141],"sliced":[20],"inverse":[21],"regression":[22],"(SIR)":[23],"method":[24,113],"to":[25,38,117,159],"provide":[26],"an":[27],"initial":[28,71],"guess":[29,72],"alternating":[32],"direction":[33],"method,":[34],"which":[35],"is":[36,75,153],"used":[37],"enhance":[39],"sparsity":[40,53,139],"of":[41,46,50,61,108,137,140,145],"Hermite":[43,105],"polynomial":[44,106],"expansion":[45,107],"stochastic":[48],"quantity":[49],"interest.":[51],"The":[52,143],"improvement":[54],"increases":[55],"both":[56],"efficiency":[58],"and":[59,131,151],"accuracy":[60],"compressive-sensing--based":[63],"method.":[66],"We":[67,87],"demonstrate":[68],"that":[69,94],"from":[73],"SIR":[74],"suitable":[76],"cases":[78],"when":[79],"available":[81,125],"data":[82],"are":[83,129],"(Algorithm":[85,92],"3.2).":[86],"also":[88],"propose":[89],"another":[90],"algorithm":[91],"3.3)":[93,152],"performs":[95],"dimension":[96],"reduction":[97],"first":[98],"SIR.":[100],"Then":[101],"it":[102],"constructs":[103],"reduced":[110],"model.":[111],"This":[112],"affords":[114],"ability":[116],"approximate":[118],"statistics":[120],"accurately":[121],"even":[123],"less":[124],"Both":[127],"nonintrusive":[130],"require":[132],"no":[133],"priori":[135],"information":[136],"system.":[142],"effectiveness":[144],"these":[146],"two":[147],"(Algorithms":[149],"3.2":[150],"demonstrated":[154],"using":[155],"up":[158],"500":[160],"random":[161],"dimensions.":[162]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
