{"id":"https://openalex.org/W4387134060","doi":"https://doi.org/10.1137/22m150695x","title":"Bayesian Inference with Projected Densities","display_name":"Bayesian Inference with Projected Densities","publication_year":2023,"publication_date":"2023-09-27","ids":{"openalex":"https://openalex.org/W4387134060","doi":"https://doi.org/10.1137/22m150695x"},"language":"en","primary_location":{"id":"doi:10.1137/22m150695x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m150695x","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/A5033640867","display_name":"Jasper Marijn Everink","orcid":"https://orcid.org/0000-0001-7263-0317"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jasper M. Everink","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs Lyngby, Denmark","Department of Applied Mathematics and Computer Science, Technical University of Denmark. Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0000-0001-7263-0317","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark. Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024885548","display_name":"Yiqiu Dong","orcid":"https://orcid.org/0000-0001-8363-9448"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Yiqiu Dong","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs Lyngby, Denmark","Department of Applied Mathematics and Computer Science, Technical University of Denmark. Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0000-0001-8363-9448","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark. Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005503523","display_name":"Martin S. Andersen","orcid":"https://orcid.org/0000-0002-4654-3946"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Martin S. Andersen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs Lyngby, Denmark","Department of Applied Mathematics and Computer Science, Technical University of Denmark. Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0000-0002-4654-3946","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark. Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":null,"apc_paid":null,"fwci":2.5601,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.91076503,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"3","first_page":"1025","last_page":"1043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.991599977016449,"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/inference","display_name":"Inference","score":0.6943069100379944},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.6059449911117554},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5758249163627625},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.37377023696899414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36686328053474426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34394121170043945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30438122153282166}],"concepts":[{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6943069100379944},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.6059449911117554},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5758249163627625},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.37377023696899414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36686328053474426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34394121170043945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30438122153282166}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m150695x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m150695x","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/G1988099419","display_name":null,"funder_award_id":"25893","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G5429907552","display_name":null,"funder_award_id":"NNF20OC0061894","funder_id":"https://openalex.org/F4320325957","funder_display_name":"Novo Nordisk Fonden"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320325957","display_name":"Novo Nordisk Fonden","ror":"https://ror.org/04txyc737"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1493706968","https://openalex.org/W2037277678","https://openalex.org/W2100556411","https://openalex.org/W2767053458","https://openalex.org/W3019146011","https://openalex.org/W3180226816","https://openalex.org/W4247690662","https://openalex.org/W4251767710","https://openalex.org/W4301521499"],"related_works":["https://openalex.org/W2372267530","https://openalex.org/W2969189870","https://openalex.org/W3015855446","https://openalex.org/W2965643117","https://openalex.org/W4303857162","https://openalex.org/W2407375987","https://openalex.org/W3049691116","https://openalex.org/W2505726097","https://openalex.org/W2950975704","https://openalex.org/W2010643158"],"abstract_inverted_index":{"Constraints":[0],"are":[1],"a":[2,31,36,61,67,71,86,90,133,142,148],"natural":[3],"choice":[4],"for":[5],"prior":[6,38],"information":[7],"in":[8,105,127],"Bayesian":[9,101,134],"inference.":[10],"In":[11,26],"various":[12],"applications,":[13],"the":[14,20,23,41,47,50,76,82,98,128,138,155,160,164,168],"parameters":[15],"of":[16,22,49,78,162],"interest":[17],"lie":[18],"on":[19,75],"boundary":[21,48,77],"constraint":[24,51,63,139],"set.":[25,52,80],"this":[27],"paper,":[28],"we":[29,65,145,166],"use":[30],"method":[32,99,169],"that":[33,40,55,79],"implicitly":[34],"defines":[35],"constrained":[37,115],"such":[39,89],"posterior":[42,58,69,84],"assigns":[43],"positive":[44],"probability":[45],"to":[46,100,120,151,170],"We":[53,96],"show":[54,159],"by":[56,112],"projecting":[57,163],"mass":[59],"onto":[60],"polyhedral":[62,143],"set,":[64],"obtain":[66],"new":[68],"with":[70,125],"rich":[72],"probabilistic":[73],"structure":[74],"If":[81],"original":[83],"is":[85,141],"Gaussian,":[87],"then":[88],"projection":[91],"can":[92,109,146],"be":[93,110],"done":[94],"efficiently.":[95],"apply":[97],"linear":[102],"inverse":[103],"problems,":[104,118],"which":[106],"case":[107],"samples":[108],"obtained":[111],"repeatedly":[113],"solving":[114],"least":[116],"squares":[117],"similar":[119],"an":[121],"MAP":[122],"estimate":[123],"but":[124],"perturbations":[126],"data.":[129],"When":[130],"combined":[131],"into":[132],"hierarchical":[135,156],"model":[136],"and":[137,172],"set":[140],"cone,":[144],"derive":[147],"Gibbs":[149],"sampler":[150],"efficiently":[152],"sample":[153],"from":[154],"model.":[157],"To":[158],"effect":[161],"posterior,":[165],"applied":[167],"deblurring":[171],"CT":[173],"examples.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}