{"id":"https://openalex.org/W2592613201","doi":"https://doi.org/10.1137/17m112590x","title":"Compressed Sensing with Sparse Corruptions: Fault-Tolerant Sparse Collocation Approximations","display_name":"Compressed Sensing with Sparse Corruptions: Fault-Tolerant Sparse Collocation Approximations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2592613201","doi":"https://doi.org/10.1137/17m112590x","mag":"2592613201"},"language":"en","primary_location":{"id":"doi:10.1137/17m112590x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m112590x","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/1703.00135","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065352983","display_name":"Ben Adcock","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"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":["CA","US"],"is_corresponding":false,"raw_author_name":"Ben Adcock","raw_affiliation_strings":["Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","Department of Mathematics Simon Fraser University Burnaby, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"Department of Mathematics Simon Fraser University Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013035460","display_name":"Anyi Bao","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"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":["CA","US"],"is_corresponding":false,"raw_author_name":"Anyi Bao","raw_affiliation_strings":["Department of Mathematics Simon Fraser University Burnaby, BC, Canada","Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Simon Fraser University Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084145417","display_name":"John Jakeman","orcid":"https://orcid.org/0000-0002-3517-337X"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"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":["CA","US"],"is_corresponding":false,"raw_author_name":"John D. Jakeman","raw_affiliation_strings":["Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","Department of Mathematics Simon Fraser University Burnaby, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"Department of Mathematics Simon Fraser University Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053971798","display_name":"Akil Narayan","orcid":"https://orcid.org/0000-0002-5914-4207"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"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":["CA","US"],"is_corresponding":false,"raw_author_name":"Akil Narayan","raw_affiliation_strings":["Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","Department of Mathematics Simon Fraser University Burnaby, BC, Canada"],"raw_orcid":"https://orcid.org/0000-0002-5914-4207","affiliations":[{"raw_affiliation_string":"Computer Science Research Institute Sandia National Laboratories Albuquerque, NM, USA","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"Department of Mathematics and Scientific Computing and Imaging (SCI) Institute University of Utah Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"Department of Mathematics Simon Fraser University Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.8405,"has_fulltext":true,"cited_by_count":59,"citation_normalized_percentile":{"value":0.98518119,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"6","issue":"4","first_page":"1424","last_page":"1453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"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":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9995999932289124,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.7228018641471863},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5671166777610779},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5335424542427063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5254449248313904},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4979369640350342},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4816792905330658},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4728153944015503},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41418135166168213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4047066569328308},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39179879426956177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17793235182762146}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7228018641471863},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5671166777610779},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5335424542427063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5254449248313904},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4979369640350342},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4816792905330658},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4728153944015503},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41418135166168213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4047066569328308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39179879426956177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17793235182762146},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/17m112590x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m112590x","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:1703.00135","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1703.00135","pdf_url":"https://arxiv.org/pdf/1703.00135","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"},{"id":"pmh:oai:osti.gov:1479490","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1479490","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1703.00135","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1703.00135","pdf_url":"https://arxiv.org/pdf/1703.00135","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G1030832833","display_name":null,"funder_award_id":"FA9550-15-1-0467","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1151777540","display_name":null,"funder_award_id":"DMS-1720416","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1181634142","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G1437429863","display_name":null,"funder_award_id":"611675","funder_id":"https://openalex.org/F4320306151","funder_display_name":"Alfred P. Sloan Foundation"},{"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/G2251163488","display_name":null,"funder_award_id":"DMS-1552238","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G2708432820","display_name":null,"funder_award_id":"FA9550-15-1-0467","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G288067973","display_name":null,"funder_award_id":"0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2933370326","display_name":null,"funder_award_id":"N660011524053","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3961186025","display_name":null,"funder_award_id":"N660011524053","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4440018348","display_name":null,"funder_award_id":"EQUiPS N660011524053","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G5208560880","display_name":null,"funder_award_id":"611675","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5761788411","display_name":null,"funder_award_id":"FA9550-15-1-0467","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"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/G65045989","display_name":null,"funder_award_id":"FA9550-15-1-0467","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6588439730","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G6627613904","display_name":"Computational Methods for Multivariate Orthogonal Polynomials","funder_award_id":"1720416","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7142813775","display_name":null,"funder_award_id":"-15-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7166948679","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G7410743818","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7600396270","display_name":null,"funder_award_id":"N660011524053","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G7642757584","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G805931733","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G8223666345","display_name":null,"funder_award_id":"N660011524053","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8397556039","display_name":null,"funder_award_id":"DMS-1720416","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2592613201.pdf","grobid_xml":"https://content.openalex.org/works/W2592613201.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W116214155","https://openalex.org/W143004564","https://openalex.org/W191944555","https://openalex.org/W1492646480","https://openalex.org/W1538934584","https://openalex.org/W1557005360","https://openalex.org/W1783982624","https://openalex.org/W1965093639","https://openalex.org/W1978498449","https://openalex.org/W1980635834","https://openalex.org/W1984320340","https://openalex.org/W2018159038","https://openalex.org/W2056558085","https://openalex.org/W2065030431","https://openalex.org/W2078776517","https://openalex.org/W2083042020","https://openalex.org/W2089106993","https://openalex.org/W2089493818","https://openalex.org/W2096586829","https://openalex.org/W2107861471","https://openalex.org/W2116601705","https://openalex.org/W2141454789","https://openalex.org/W2161310686","https://openalex.org/W2171971725","https://openalex.org/W2224568587","https://openalex.org/W2253298305","https://openalex.org/W2280506408","https://openalex.org/W2284492459","https://openalex.org/W2296270829","https://openalex.org/W2408077834","https://openalex.org/W2494186207","https://openalex.org/W2510662358","https://openalex.org/W2591630208","https://openalex.org/W2949483514","https://openalex.org/W2962904605","https://openalex.org/W2962909343","https://openalex.org/W2963739187","https://openalex.org/W2963843310","https://openalex.org/W2963862882","https://openalex.org/W2964095301","https://openalex.org/W2964281595","https://openalex.org/W2964342222","https://openalex.org/W2965497096","https://openalex.org/W4295098767"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W4255576661","https://openalex.org/W1516574938","https://openalex.org/W2563912921","https://openalex.org/W2407611282"],"abstract_inverted_index":{"The":[0],"recovery":[1,126],"of":[2,49,80,122,149,158,179,201,211],"approximately":[3],"sparse":[4,42,116],"or":[5],"compressible":[6,136,139],"coefficients":[7,118],"in":[8,17,29,89,119,147],"a":[9,14,46,55,90,100,107,150,152],"polynomial":[10],"chaos":[11],"expansion":[12,117],"is":[13],"common":[15],"goal":[16],"many":[18,69],"modern":[19,62],"parametric":[20],"uncertainty":[21],"quantification":[22],"(UQ)":[23],"problems.":[24],"However,":[25],"relatively":[26],"little":[27],"effort":[28],"UQ":[30],"has":[31,57],"been":[32],"directed":[33],"toward":[34],"theoretical":[35,104,131],"and":[36,76,87,138,142,183,207],"computational":[37,63],"strategies":[38],"for":[39,106,134],"addressing":[40],"the":[41,120,156,177,180,209],"corruptions":[43,140],"problem,":[44],"where":[45],"small":[47],"number":[48],"measurements":[50,159],"are":[51,65,128,161],"highly":[52,91],"corrupted.":[53,165],"Such":[54],"situation":[56],"become":[58],"pertinent":[59],"today":[60],"since":[61],"frameworks":[64],"sufficiently":[66],"complex":[67],"with":[68],"interdependent":[70],"components":[71],"that":[72,112,160,174],"may":[73],"introduce":[74],"hardware":[75],"software":[77],"failures,":[78],"some":[79],"which":[81],"can":[82],"be":[83,164],"difficult":[84],"to":[85,114,163,197,203],"detect":[86],"result":[88],"polluted":[92],"simulation":[93],"result.":[94],"In":[95],"this":[96],"paper":[97],"we":[98],"present":[99],"novel":[101],"compressive":[102],"sampling--based":[103],"analysis":[105],"regularized":[108],"$\\ell^1$":[109],"minimization":[110],"algorithm":[111,173],"aims":[113],"recover":[115],"presence":[121],"measurement":[123],"corruptions.":[124],"Our":[125,188],"results":[127,190],"uniform":[129],"(the":[130],"guarantees":[132],"hold":[133],"all":[135],"signals":[137],"vectors)":[141],"prescribe":[143],"algorithmic":[144],"regularization":[145,181],"parameters":[146],"terms":[148],"user-defined":[151],"priori":[153],"estimate":[154],"on":[155,194],"ratio":[157],"believed":[162],"We":[166],"also":[167],"propose":[168],"an":[169],"iteratively":[170],"reweighted":[171],"optimization":[172],"automatically":[175],"refines":[176],"value":[178],"parameter":[182],"empirically":[184],"produces":[185],"superior":[186],"results.":[187],"numerical":[189],"test":[191],"our":[192,212],"framework":[193],"several":[195],"medium":[196],"high":[198],"dimensional":[199],"examples":[200],"solutions":[202],"parameterized":[204],"differential":[205],"equations":[206],"demonstrate":[208],"effectiveness":[210],"approach.":[213]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":44},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2017-03-16T00:00:00"}