{"id":"https://openalex.org/W7126029599","doi":"https://doi.org/10.1109/jstsp.2026.3659332","title":"On the Posterior Gap in Plug &amp; Play Diffusion Methods for Sparse-View Computed Tomography","display_name":"On the Posterior Gap in Plug &amp; Play Diffusion Methods for Sparse-View Computed Tomography","publication_year":2026,"publication_date":"2026-01-29","ids":{"openalex":"https://openalex.org/W7126029599","doi":"https://doi.org/10.1109/jstsp.2026.3659332"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2026.3659332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2026.3659332","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing","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/A5114633364","display_name":"Liam Moroy","orcid":null},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210090571","display_name":"Institut des Sciences des Plantes de Paris Saclay","ror":"https://ror.org/00ajjta07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210088668","https://openalex.org/I4210090571","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Liam Moroy","raw_affiliation_strings":["DTIS/ONERA, Univ. Paris Saclay, Orsay, France"],"raw_orcid":"https://orcid.org/0009-0000-5427-0311","affiliations":[{"raw_affiliation_string":"DTIS/ONERA, Univ. Paris Saclay, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210090571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044756287","display_name":"Guillaume Bourmaud","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guillaume Bourmaud","raw_affiliation_strings":["IMS (Univ. Bordeaux &#x2013; CNRS &#x2013; BINP), Talence, France"],"raw_orcid":"https://orcid.org/0000-0001-7410-6439","affiliations":[{"raw_affiliation_string":"IMS (Univ. Bordeaux &#x2013; CNRS &#x2013; BINP), Talence, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Fr\u00e9d\u00e9ric Champagnat","orcid":"https://orcid.org/0000-0003-4007-4955"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210090571","display_name":"Institut des Sciences des Plantes de Paris Saclay","ror":"https://ror.org/00ajjta07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210088668","https://openalex.org/I4210090571","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Champagnat","raw_affiliation_strings":["DTIS/ONERA, Univ. Paris Saclay, Orsay, France"],"raw_orcid":"https://orcid.org/0000-0003-4007-4955","affiliations":[{"raw_affiliation_string":"DTIS/ONERA, Univ. Paris Saclay, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210090571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5124275255","display_name":"Jean-Fran\u00e7ois Giovannelli","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Giovannelli","raw_affiliation_strings":["IMS (Univ. Bordeaux &#x2013; CNRS &#x2013; BINP), Talence, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMS (Univ. Bordeaux &#x2013; CNRS &#x2013; BINP), Talence, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13261142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"3","first_page":"419","last_page":"433"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.24169999361038208,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.24169999361038208,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.10429999977350235,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.09759999811649323,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.608299970626831},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5273000001907349},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.48730000853538513},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4397999942302704},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.39899998903274536},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.36390000581741333},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.35370001196861267},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.35190001130104065}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6650000214576721},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.608299970626831},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5273000001907349},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.48730000853538513},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46070000529289246},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4397999942302704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41429999470710754},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.39899998903274536},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3643999993801117},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.36390000581741333},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.35370001196861267},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.35190001130104065},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.35019999742507935},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.34779998660087585},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.3255999982357025},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C544519230","wikidata":"https://www.wikidata.org/wiki/Q32566","display_name":"Computed tomography","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C31601959","wikidata":"https://www.wikidata.org/wiki/Q931309","display_name":"Medical imaging","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26249998807907104},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/jstsp.2026.3659332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2026.3659332","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05530470v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05530470","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing, 2026, pp.1-15. &#x27E8;10.1109/JSTSP.2026.3659332&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Recent":[0],"advances":[1],"in":[2,30,47,50,57,225],"conditional":[3],"diffusion":[4,156],"models":[5,157],"have":[6],"demonstrated":[7],"impressive":[8],"performance":[9],"on":[10,87],"inverse":[11],"problems":[12],"such":[13,62,229],"as":[14,63,230],"Sparse-View":[15],"Computed":[16],"Tomography":[17],"(SVCT),":[18],"typically":[19],"evaluated":[20],"using":[21,139],"estimation":[22,88,138],"error":[23,89],"metrics":[24],"like":[25],"PSNR":[26],"or":[27,236],"SSIM.":[28],"However,":[29],"ultra-sparse":[31],"regimes,":[32],"where":[33,71],"the":[34,41,65,102,109,115,118,123,143,179],"number":[35],"of":[36,75,221],"projections":[37,76],"is":[38,43,54,92],"extremely":[39],"limited,":[40],"sinogram":[42],"weakly":[44],"informative":[45],"resulting":[46],"high":[48],"variability":[49],"posterior":[51,120,147],"samples.":[52,148],"This":[53],"especially":[55],"true":[56,119],"applications":[58],"involving":[59],"dynamic":[60,231],"phenomena,":[61],"imaging":[64,233],"exhaust":[66],"gas":[67,232],"from":[68],"a":[69,73,127,133,168,173,217],"nozzle,":[70],"only":[72,140],"handful":[74],"can":[77],"be":[78],"captured":[79],"simultaneously.":[80],"In":[81],"this":[82,98],"context,":[83],"evaluation":[84,214],"based":[85],"solely":[86],"(e.g.":[90],"PSNR/SSIM)":[91],"no":[93],"longer":[94],"adequate.":[95],"To":[96],"address":[97],"limitation":[99],"and":[100,122,146,163,189,204],"complement":[101],"PSNR/SSIM":[103],"evaluation,":[104],"we":[105,171],"propose":[106],"to":[107,177],"evaluate":[108],"Posterior":[110],"Gap":[111],"(PG),":[112],"which":[113],"measures":[114],"discrepancy":[116],"between":[117],"distribution":[121],"approximation":[124],"induced":[125],"by":[126],"given":[128],"generative":[129],"model.":[130],"We":[131,149],"introduce":[132],"practical":[134],"framework":[135],"for":[136],"PG":[137],"prior":[141],"samples,":[142],"observation":[144],"model,":[145],"consider":[150],"three":[151,192],"state-of-theart":[152],"Plug":[153],"&":[154],"Play":[155],"DPS,":[158,184],"<inline-formula":[159,185,205],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[160,186,206],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[161,187,207],"notation=\"LaTeX\">$\\prod$</tex-math></inline-formula>G,":[162],"FPS.":[164],"Since":[165],"DPS":[166,201],"includes":[167],"sensitive":[169],"hyperparameter,":[170],"present":[172],"simple":[174],"calibration":[175],"strategy":[176],"reduce":[178],"PG.":[180],"Our":[181],"study":[182],"benchmarks":[183],"notation=\"LaTeX\">$\\prod$</tex-math></inline-formula>G":[188],"FPS":[190,203],"across":[191],"SVCT":[193],"datasets.":[194],"Results":[195],"show":[196],"that":[197],"when":[198],"carefully":[199],"calibrated,":[200],"outperforms":[202],"notation=\"LaTeX\">$\\prod$</tex-math></inline-formula>G.":[208],"By":[209],"complementing":[210],"traditional":[211],"metrics,":[212],"our":[213],"protocol":[215],"offers":[216],"more":[218],"comprehensive":[219],"understanding":[220],"reconstruction":[222],"performance,":[223],"particularly":[224],"severely":[226],"ill-posed":[227],"regimes":[228],"with":[234],"six":[235],"fewer":[237],"projections.":[238]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-01-30T00:00:00"}