{"id":"https://openalex.org/W4379033886","doi":"https://doi.org/10.1109/tsp.2023.3282062","title":"A Statistical Framework to Investigate the Optimality of Signal-Reconstruction Methods","display_name":"A Statistical Framework to Investigate the Optimality of Signal-Reconstruction Methods","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4379033886","doi":"https://doi.org/10.1109/tsp.2023.3282062"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3282062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3282062","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04322442v1/file/OptimalityReconstruction.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003672495","display_name":"Pakshal Bohra","orcid":"https://orcid.org/0000-0002-2611-3834"},"institutions":[{"id":"https://openalex.org/I4210133377","display_name":"Centre d'Imagerie BioMedicale","ror":"https://ror.org/03fw2bn12","country_code":"CH","type":"facility","lineage":["https://openalex.org/I4210133377"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Pakshal Bohra","raw_affiliation_strings":["Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-2611-3834","affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I4210133377","https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056847780","display_name":"Pol del Aguila","orcid":"https://orcid.org/0000-0003-3054-7210"},"institutions":[{"id":"https://openalex.org/I4210133377","display_name":"Centre d'Imagerie BioMedicale","ror":"https://ror.org/03fw2bn12","country_code":"CH","type":"facility","lineage":["https://openalex.org/I4210133377"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Pol del Aguila Pla","raw_affiliation_strings":["Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-3054-7210","affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I4210133377","https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091811958","display_name":"Jean\u2010Fran\u00e7ois Giovannelli","orcid":"https://orcid.org/0000-0002-0372-9329"},"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/I4210157089","display_name":"Laboratoire de l'Int\u00e9gration du Mat\u00e9riau au Syst\u00e8me","ror":"https://ror.org/04nabhy78","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210091158","https://openalex.org/I4210095849","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"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, CNRS, B-INP), UMR 5218, Talence, France","IMS (CNRS, B-INP), Univ. Bordeaux, UMR 5218, Talence, France"],"raw_orcid":"https://orcid.org/0000-0002-0372-9329","affiliations":[{"raw_affiliation_string":"IMS (Univ. Bordeaux, CNRS, B-INP), UMR 5218, Talence, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IMS (CNRS, B-INP), Univ. Bordeaux, UMR 5218, Talence, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027830035","display_name":"Micha\u00ebl Unser","orcid":"https://orcid.org/0000-0003-1248-2513"},"institutions":[{"id":"https://openalex.org/I4210133377","display_name":"Centre d'Imagerie BioMedicale","ror":"https://ror.org/03fw2bn12","country_code":"CH","type":"facility","lineage":["https://openalex.org/I4210133377"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Michael Unser","raw_affiliation_strings":["Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-1248-2513","affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I4210133377","https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1623,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.35954313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"71","issue":null,"first_page":"2043","last_page":"2055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9952999949455261,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/mean-squared-error","display_name":"Mean squared error","score":0.5875782370567322},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5688443779945374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5541000962257385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.534769594669342},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.5327266454696655},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4971030056476593},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4794856011867523},{"id":"https://openalex.org/keywords/statistical-signal-processing","display_name":"Statistical signal processing","score":0.4760848581790924},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4500388205051422},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.41956064105033875},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.3633562922477722},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35306215286254883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33093389868736267},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12662273645401},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.10336065292358398}],"concepts":[{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5875782370567322},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5688443779945374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5541000962257385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.534769594669342},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.5327266454696655},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4971030056476593},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4794856011867523},{"id":"https://openalex.org/C105125183","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Statistical signal processing","level":4,"score":0.4760848581790924},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4500388205051422},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.41956064105033875},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3633562922477722},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35306215286254883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33093389868736267},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12662273645401},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.10336065292358398},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2023.3282062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3282062","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04322442v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04322442","pdf_url":"https://hal.science/hal-04322442v1/file/OptimalityReconstruction.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2023, 71, pp.2043 - 2055. ⟨10.1109/tsp.2023.3282062⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:303696","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/199180","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04322442v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04322442","pdf_url":"https://hal.science/hal-04322442v1/file/OptimalityReconstruction.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2023, 71, pp.2043 - 2055. ⟨10.1109/tsp.2023.3282062⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5557628150","display_name":null,"funder_award_id":"200020_184646","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5979294231","display_name":null,"funder_award_id":"101020573","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G74508049","display_name":null,"funder_award_id":"200020_184646 / 1","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320915","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320323829","display_name":"H\u00f4pitaux Universitaires de Gen\u00e8ve","ror":"https://ror.org/01m1pv723"},{"id":"https://openalex.org/F4320323830","display_name":"Universit\u00e9 de Gen\u00e8ve","ror":"https://ror.org/01swzsf04"},{"id":"https://openalex.org/F4320323831","display_name":"Universit\u00e9 de Lausanne","ror":"https://ror.org/019whta54"},{"id":"https://openalex.org/F4320323833","display_name":"Centre Hospitalier Universitaire Vaudois","ror":"https://ror.org/05a353079"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4379033886.pdf","grobid_xml":"https://content.openalex.org/works/W4379033886.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W45374770","https://openalex.org/W205433031","https://openalex.org/W250076511","https://openalex.org/W606515514","https://openalex.org/W1906770428","https://openalex.org/W1976709621","https://openalex.org/W1977113601","https://openalex.org/W1979926788","https://openalex.org/W1982652137","https://openalex.org/W1987895141","https://openalex.org/W1989692914","https://openalex.org/W1995049106","https://openalex.org/W2009511046","https://openalex.org/W2020999234","https://openalex.org/W2033157981","https://openalex.org/W2048971218","https://openalex.org/W2050237878","https://openalex.org/W2065513175","https://openalex.org/W2085803676","https://openalex.org/W2087416986","https://openalex.org/W2093427575","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2111128642","https://openalex.org/W2119667497","https://openalex.org/W2130416410","https://openalex.org/W2135428614","https://openalex.org/W2138309709","https://openalex.org/W2161765392","https://openalex.org/W2164452299","https://openalex.org/W2166500461","https://openalex.org/W2167943787","https://openalex.org/W2508457857","https://openalex.org/W2573726823","https://openalex.org/W2574952845","https://openalex.org/W2584483805","https://openalex.org/W2604885021","https://openalex.org/W2738743584","https://openalex.org/W2751669091","https://openalex.org/W2753305843","https://openalex.org/W2762685704","https://openalex.org/W2773850766","https://openalex.org/W2904170147","https://openalex.org/W2971240841","https://openalex.org/W2988626048","https://openalex.org/W3021094251","https://openalex.org/W3033189006","https://openalex.org/W3081856201","https://openalex.org/W3090043041","https://openalex.org/W3098900881","https://openalex.org/W3100730608","https://openalex.org/W3103372211","https://openalex.org/W3103586216","https://openalex.org/W3104967842","https://openalex.org/W3105403262","https://openalex.org/W3133902371","https://openalex.org/W3167568784","https://openalex.org/W3180330028","https://openalex.org/W4206375146","https://openalex.org/W4231517135","https://openalex.org/W4235713725","https://openalex.org/W4247999480","https://openalex.org/W4250955649","https://openalex.org/W4256038730","https://openalex.org/W4292363360","https://openalex.org/W4302067267","https://openalex.org/W4315606073","https://openalex.org/W6631190155","https://openalex.org/W6634916445","https://openalex.org/W6652830530","https://openalex.org/W6729455701","https://openalex.org/W6762438721","https://openalex.org/W6762492139","https://openalex.org/W6810370506"],"related_works":["https://openalex.org/W3125536267","https://openalex.org/W2274645452","https://openalex.org/W1999706086","https://openalex.org/W2521753262","https://openalex.org/W2019933734","https://openalex.org/W2111075373","https://openalex.org/W4301444643","https://openalex.org/W4231083737","https://openalex.org/W1774046177","https://openalex.org/W4302552134"],"abstract_inverted_index":{"We":[0,27,46,89],"present":[1],"a":[2],"statistical":[3],"framework":[4,70,92],"to":[5,42,51,71],"benchmark":[6],"the":[7,53,76,81,95,113,124,132],"performance":[8,96,143],"of":[9,24,33,75,78,97,115],"reconstruction":[10,87],"algorithms":[11],"for":[12,58,84,146],"linear":[13],"inverse":[14],"problems,":[15],"in":[16,112,139],"particular,":[17],"neural-network-based":[18],"methods":[19,101,134],"that":[20,107],"require":[21],"large":[22],"quantities":[23],"training":[25],"data.":[26],"generate":[28],"synthetic":[29],"signals":[30,147],"as":[31],"realizations":[32],"sparse":[34],"stochastic":[35],"processes,":[36],"which":[37],"makes":[38],"them":[39],"ideally":[40],"matched":[41],"variational":[43,100,133],"sparsity-promoting":[44],"techniques.":[45],"derive":[47],"Gibbs":[48],"sampling":[49],"schemes":[50],"compute":[52],"minimum":[54],"mean-square":[55],"error":[56],"estimators":[57],"processes":[59],"with":[60,149],"Laplace,":[61],"Student's":[62],"t,":[63],"and":[64,102,117,135],"Bernoulli-Laplace":[65],"innovations.":[66],"These":[67],"allow":[68],"our":[69,91],"provide":[72],"quantitative":[73],"measures":[74],"degree":[77],"optimality":[79],"(in":[80],"mean-square-error":[82],"sense)":[83],"any":[85],"given":[86],"method.":[88],"showcase":[90],"by":[93],"benchmarking":[94],"some":[98],"well-known":[99],"convolutional":[103],"neural":[104,129],"network":[105],"architectures":[106],"perform":[108],"direct":[109],"nonlinear":[110],"reconstructions":[111],"context":[114],"deconvolution":[116],"Fourier":[118],"sampling.":[119],"Our":[120],"experimental":[121],"results":[122,138],"support":[123],"understanding":[125],"that,":[126],"while":[127],"these":[128],"networks":[130],"outperform":[131],"achieve":[136],"near-optimal":[137],"many":[140],"settings,":[141],"their":[142],"deteriorates":[144],"severely":[145],"associated":[148],"heavy-tailed":[150],"distributions.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}