{"id":"https://openalex.org/W3197135807","doi":"https://doi.org/10.1137/21m1445028","title":"Uncertainty Quantification and Experimental Design for Large-Scale Linear Inverse Problems under Gaussian Process Priors","display_name":"Uncertainty Quantification and Experimental Design for Large-Scale Linear Inverse Problems under Gaussian Process Priors","publication_year":2023,"publication_date":"2023-03-01","ids":{"openalex":"https://openalex.org/W3197135807","doi":"https://doi.org/10.1137/21m1445028","mag":"3197135807"},"language":"en","primary_location":{"id":"doi:10.1137/21m1445028","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1445028","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":true,"oa_status":"green","oa_url":"https://serval.unil.ch/notice/serval:BIB_C1CCAC7228B8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039441033","display_name":"C\u00e9dric Travelletti","orcid":null},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"C\u00e9dric Travelletti","raw_affiliation_strings":["Institute of Mathematical Statistics and Actuarial Science, University of Bern, 3012 Bern, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Statistics and Actuarial Science, University of Bern, 3012 Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049418200","display_name":"David Ginsbourger","orcid":"https://orcid.org/0000-0003-2724-2678"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"David Ginsbourger","raw_affiliation_strings":["Institute of Mathematical Statistics and Actuarial Science, University of Bern, 3012 Bern, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Statistics and Actuarial Science, University of Bern, 3012 Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083848479","display_name":"Niklas Linde","orcid":"https://orcid.org/0000-0003-1613-353X"},"institutions":[{"id":"https://openalex.org/I97565354","display_name":"University of Lausanne","ror":"https://ror.org/019whta54","country_code":"CH","type":"education","lineage":["https://openalex.org/I97565354"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Niklas Linde","raw_affiliation_strings":["Institute of Earth Sciences, University of Lausanne, CH-1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Earth Sciences, University of Lausanne, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I97565354"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039441033"],"corresponding_institution_ids":["https://openalex.org/I118564535"],"apc_list":null,"apc_paid":null,"fwci":0.3949,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6091748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"1","first_page":"168","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9983999729156494,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9983000159263611,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9976000189781189,"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/covariance","display_name":"Covariance","score":0.573983907699585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5726179480552673},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5477081537246704},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.5402131080627441},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.4892396926879883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48136693239212036},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.46672359108924866},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.460647851228714},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4390519857406616},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4337582290172577},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.432406485080719},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.37763145565986633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3494258522987366},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.21920984983444214},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19113710522651672},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1887074112892151}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.573983907699585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5726179480552673},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5477081537246704},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.5402131080627441},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.4892396926879883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48136693239212036},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.46672359108924866},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.460647851228714},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4390519857406616},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4337582290172577},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.432406485080719},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.37763145565986633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3494258522987366},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21920984983444214},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19113710522651672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1887074112892151},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":4,"locations":[{"id":"doi:10.1137/21m1445028","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1445028","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:boris.unibe.ch:180149","is_oa":false,"landing_page_url":"https://boris.unibe.ch/180149/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Travelletti, C\u00e9dric; Ginsbourger, David; Linde, Niklas (2023). Uncertainty Quantification and Experimental Design for Large-Scale Linear Inverse Problems under Gaussian Process Priors. SIAM/ASA Journal on Uncertainty Quantification, 11(1), pp. 168-198. Society for Industrial and Applied Mathematics 10.1137/21M1445028 &lt;http://dx.doi.org/10.1137/21M1445028&gt;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unil.ch:iris/210712","is_oa":false,"landing_page_url":"https://iris.unil.ch/handle/iris/210712","pdf_url":null,"source":{"id":"https://openalex.org/S7407055444","display_name":"IRIS","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:serval.unil.ch:BIB_C1CCAC7228B8","is_oa":true,"landing_page_url":"https://serval.unil.ch/notice/serval:BIB_C1CCAC7228B8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401797","display_name":"SERVAL (Universit\u00e9 de Lausanne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210093590","host_organization_name":"Swiss School of Archaeology in Greece","host_organization_lineage":["https://openalex.org/I4210093590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification, vol. 11, no. 1, pp. 168-198","raw_type":"info:eu-repo/semantics/submittedVersion"}],"best_oa_location":{"id":"pmh:oai:serval.unil.ch:BIB_C1CCAC7228B8","is_oa":true,"landing_page_url":"https://serval.unil.ch/notice/serval:BIB_C1CCAC7228B8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401797","display_name":"SERVAL (Universit\u00e9 de Lausanne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210093590","host_organization_name":"Swiss School of Archaeology in Greece","host_organization_lineage":["https://openalex.org/I4210093590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification, vol. 11, no. 1, pp. 168-198","raw_type":"info:eu-repo/semantics/submittedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8511309603","display_name":null,"funder_award_id":"178858","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W177314305","https://openalex.org/W190311105","https://openalex.org/W1536001458","https://openalex.org/W1578430072","https://openalex.org/W1582706191","https://openalex.org/W1602844557","https://openalex.org/W1624012152","https://openalex.org/W1746819321","https://openalex.org/W1845062057","https://openalex.org/W1978983629","https://openalex.org/W1979955444","https://openalex.org/W1986454681","https://openalex.org/W1997945023","https://openalex.org/W1999197043","https://openalex.org/W1999479532","https://openalex.org/W2016208159","https://openalex.org/W2025561056","https://openalex.org/W2026612561","https://openalex.org/W2027792629","https://openalex.org/W2039828406","https://openalex.org/W2042722852","https://openalex.org/W2047745042","https://openalex.org/W2048013282","https://openalex.org/W2050821703","https://openalex.org/W2054335812","https://openalex.org/W2059457143","https://openalex.org/W2069624343","https://openalex.org/W2069650072","https://openalex.org/W2091603915","https://openalex.org/W2092127669","https://openalex.org/W2098626000","https://openalex.org/W2111051456","https://openalex.org/W2131007901","https://openalex.org/W2132565565","https://openalex.org/W2133027741","https://openalex.org/W2133118715","https://openalex.org/W2149498546","https://openalex.org/W2152657433","https://openalex.org/W2335362681","https://openalex.org/W2489204415","https://openalex.org/W2593125873","https://openalex.org/W2612690371","https://openalex.org/W2744842812","https://openalex.org/W2788406418","https://openalex.org/W2964103707","https://openalex.org/W2970971581","https://openalex.org/W2971353969","https://openalex.org/W2972580347","https://openalex.org/W2991434687","https://openalex.org/W2999905431","https://openalex.org/W3024020114","https://openalex.org/W3038213143","https://openalex.org/W3080842854","https://openalex.org/W3099680482","https://openalex.org/W3103970247","https://openalex.org/W3104250134","https://openalex.org/W3169577705","https://openalex.org/W3178168838","https://openalex.org/W3217247658","https://openalex.org/W4211049957","https://openalex.org/W4212774754","https://openalex.org/W4230058301","https://openalex.org/W4232329630","https://openalex.org/W4242259929","https://openalex.org/W4254599918","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2580650124","https://openalex.org/W4386190339","https://openalex.org/W4300066510","https://openalex.org/W1971337326","https://openalex.org/W4213259725","https://openalex.org/W2056958800","https://openalex.org/W4311388919","https://openalex.org/W1964490787","https://openalex.org/W2060696366","https://openalex.org/W2154788797"],"abstract_inverted_index":{"We":[0,139],"consider":[1],"the":[2,21,29,38,93,159,172,184,205,208,223,239,244],"use":[3],"of":[4,24,31,40,76,87,126,167,216,225,259,267],"Gaussian":[5,77],"process":[6],"(GP)":[7],"priors":[8],"for":[9,122,149,153],"solving":[10],"inverse":[11,41,156,192,235],"problems":[12,42,236,255],"in":[13,28,37,57,238,247],"a":[14,154,262],"Bayesian":[15,248],"framework.":[16],"As":[17],"is":[18,161,200],"well":[19],"known,":[20],"computational":[22],"complexity":[23],"GPs":[25],"scales":[26],"cubically":[27],"number":[30],"datapoints.":[32],"Here":[33],"we":[34,79],"show":[35,196],"that":[36,50,58,91,197],"context":[39],"involving":[43],"integral":[44],"operators,":[45],"one":[46],"faces":[47],"additional":[48],"difficulties":[49],"hinder":[51],"inversion":[52],"on":[53,207,233,252],"large":[54,65],"grids.":[55],"Furthermore,":[56],"context,":[59],"covariance":[60,89,117],"matrices":[61,90],"can":[62],"become":[63],"too":[64],"to":[66,82,107,113,162,191,202,213,228,231],"be":[67,108,229],"stored.":[68],"By":[69],"leveraging":[70],"recent":[71],"results":[72,195],"about":[73],"sequential":[74,124,135,145,249],"disintegrations":[75],"measures,":[78],"are":[80,131,180],"able":[81,201],"introduce":[83],"an":[84],"implicit":[85],"representation":[86],"posterior":[88,116],"reduces":[92],"memory":[94],"footprint":[95],"by":[96,143,182],"only":[97],"storing":[98],"low":[99],"rank":[100],"intermediate":[101],"matrices,":[102],"while":[103],"allowing":[104],"individual":[105],"elements":[106],"accessed":[109],"on-the-fly":[110],"without":[111],"needing":[112],"build":[114],"full":[115],"matrices.":[118],"Moreover,":[119],"it":[120],"allows":[121],"fast":[123],"inclusion":[125],"new":[127,257],"observations.":[128],"These":[129],"features":[130],"crucial":[132],"when":[133],"considering":[134],"experimental":[136,250],"design":[137,251],"tasks.":[138],"demonstrate":[140],"our":[141,220],"approach":[142],"computing":[144],"data":[146,177,271],"collection":[147,178],"plans":[148,179],"excursion":[150,209],"set":[151],"recovery":[152],"gravimetric":[155],"problem,":[157],"where":[158],"goal":[160],"provide":[163],"fine":[164],"resolution":[165],"estimates":[166],"high":[168],"density":[169],"regions":[170],"inside":[171],"Stromboli":[173],"volcano,":[174],"Italy.":[175],"Sequential":[176],"computed":[181],"extending":[183],"weighted":[185],"integrated":[186],"variance":[187],"reduction":[188],"(wIVR)":[189],"criterion":[190,199],"problems.":[193],"Our":[194],"this":[198],"significantly":[203],"reduce":[204],"uncertainty":[206],"volume,":[210],"reaching":[211],"close":[212],"minimal":[214],"levels":[215],"residual":[217],"uncertainty.":[218],"Overall,":[219],"techniques":[221],"allow":[222],"advantages":[224],"probabilistic":[226],"models":[227],"brought":[230],"bear":[232],"large-scale":[234,254],"arising":[237],"natural":[240,268],"sciences.":[241],"Particularly,":[242],"applying":[243],"latest":[245],"developments":[246],"realistic":[253],"opens":[256],"venues":[258],"research":[260],"at":[261],"crossroads":[263],"between":[264],"mathematical":[265],"modelling":[266],"phenomena,":[269],"statistical":[270],"science,":[272],"and":[273],"active":[274],"learning.":[275]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
