{"id":"https://openalex.org/W4386526483","doi":"https://doi.org/10.1007/s10915-023-02328-w","title":"VI-DGP: A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems","display_name":"VI-DGP: A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems","publication_year":2023,"publication_date":"2023-09-07","ids":{"openalex":"https://openalex.org/W4386526483","doi":"https://doi.org/10.1007/s10915-023-02328-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02328-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02328-w","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.birmingham.ac.uk/en/publications/c2b8ceb5-4b27-4bc4-b05d-6aabd27d67c5","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074066083","display_name":"Yingzhi Xia","orcid":"https://orcid.org/0000-0001-9746-7018"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3004594783","display_name":"Institute of High Performance Computing","ror":"https://ror.org/02n0ejh50","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I91275662"]},{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN","SG"],"is_corresponding":true,"raw_author_name":"Yingzhi Xia","raw_affiliation_strings":["Institute of High Performance Computing (IHPC), Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, #16-16 Connexis, Singapore, 138632, Republic of Singapore","School of Information Science and Technology, ShanghaiTech University, Shanghai, 201210, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Performance Computing (IHPC), Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, #16-16 Connexis, Singapore, 138632, Republic of Singapore","institution_ids":["https://openalex.org/I3004594783","https://openalex.org/I115228651"]},{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, 201210, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014407690","display_name":"Qifeng Liao","orcid":"https://orcid.org/0000-0003-2033-6356"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qifeng Liao","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, 201210, China"],"raw_orcid":"https://orcid.org/0000-0003-2033-6356","affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, 201210, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026669579","display_name":"Jinglai Li","orcid":"https://orcid.org/0000-0001-7980-6901"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jinglai Li","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074066083"],"corresponding_institution_ids":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I30809798"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0109,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79462698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"97","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9990000128746033,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9988999962806702,"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/automatic-differentiation","display_name":"Automatic differentiation","score":0.6247801184654236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.585961639881134},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5508487224578857},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5247278809547424},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5135767459869385},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5067220330238342},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5035936236381531},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.47865331172943115},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46257737278938293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43619677424430847},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.42596688866615295},{"id":"https://openalex.org/keywords/latent-variable","display_name":"Latent variable","score":0.4199706017971039},{"id":"https://openalex.org/keywords/generative-model","display_name":"Generative model","score":0.41893693804740906},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37769219279289246},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.34876883029937744},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23849356174468994},{"id":"https://openalex.org/keywords/generative-grammar","display_name":"Generative grammar","score":0.21317139267921448},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1265721321105957}],"concepts":[{"id":"https://openalex.org/C133512626","wikidata":"https://www.wikidata.org/wiki/Q787371","display_name":"Automatic differentiation","level":3,"score":0.6247801184654236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.585961639881134},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5508487224578857},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5247278809547424},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5135767459869385},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5067220330238342},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5035936236381531},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.47865331172943115},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46257737278938293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43619677424430847},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.42596688866615295},{"id":"https://openalex.org/C51167844","wikidata":"https://www.wikidata.org/wiki/Q4422623","display_name":"Latent variable","level":2,"score":0.4199706017971039},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.41893693804740906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37769219279289246},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.34876883029937744},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23849356174468994},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.21317139267921448},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1265721321105957},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-023-02328-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02328-w","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/c2b8ceb5-4b27-4bc4-b05d-6aabd27d67c5","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/c2b8ceb5-4b27-4bc4-b05d-6aabd27d67c5","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Xia , Y , Liao , Q & Li , J 2023 , ' VI-DGP : A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems ' , Journal of Scientific Computing , vol. 97 , no. 1 , 16 . https://doi.org/10.1007/s10915-023-02328-w","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/c2b8ceb5-4b27-4bc4-b05d-6aabd27d67c5","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/c2b8ceb5-4b27-4bc4-b05d-6aabd27d67c5","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Xia , Y , Liao , Q & Li , J 2023 , ' VI-DGP : A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems ' , Journal of Scientific Computing , vol. 97 , no. 1 , 16 . https://doi.org/10.1007/s10915-023-02328-w","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2457858468","display_name":null,"funder_award_id":"20JC1414300","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G3935581385","display_name":null,"funder_award_id":"A20H5b0142","funder_id":"https://openalex.org/F4320320696","funder_display_name":"Agency for Science, Technology and Research"},{"id":"https://openalex.org/G678301341","display_name":null,"funder_award_id":"12071291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8067491374","display_name":null,"funder_award_id":"20ZR1436200","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"}],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320320696","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W297101097","https://openalex.org/W1074099955","https://openalex.org/W1512208174","https://openalex.org/W1570089119","https://openalex.org/W1934412359","https://openalex.org/W1970611947","https://openalex.org/W1985926778","https://openalex.org/W2015356769","https://openalex.org/W2017247230","https://openalex.org/W2017880874","https://openalex.org/W2021039784","https://openalex.org/W2056760934","https://openalex.org/W2082261407","https://openalex.org/W2128878127","https://openalex.org/W2136602340","https://openalex.org/W2149498546","https://openalex.org/W2152657433","https://openalex.org/W2225156818","https://openalex.org/W2268335277","https://openalex.org/W2464471867","https://openalex.org/W2550769910","https://openalex.org/W2762902720","https://openalex.org/W2784733489","https://openalex.org/W2786232134","https://openalex.org/W2811208018","https://openalex.org/W2899283552","https://openalex.org/W2901902220","https://openalex.org/W2906236663","https://openalex.org/W2908541468","https://openalex.org/W2911737975","https://openalex.org/W2948230027","https://openalex.org/W2951392159","https://openalex.org/W2956157136","https://openalex.org/W2961415614","https://openalex.org/W2962851448","https://openalex.org/W2979786244","https://openalex.org/W2981014499","https://openalex.org/W2999802832","https://openalex.org/W3046462119","https://openalex.org/W3048421397","https://openalex.org/W3083791730","https://openalex.org/W3098146548","https://openalex.org/W3099212336","https://openalex.org/W3100252100","https://openalex.org/W3100968477","https://openalex.org/W3121471846","https://openalex.org/W3128348490","https://openalex.org/W3135985701","https://openalex.org/W3153112662","https://openalex.org/W3182066884","https://openalex.org/W3210999712","https://openalex.org/W4292403327","https://openalex.org/W4309879864","https://openalex.org/W4389371315","https://openalex.org/W6600109629","https://openalex.org/W6603989641"],"related_works":["https://openalex.org/W166200282","https://openalex.org/W2616125534","https://openalex.org/W2770703741","https://openalex.org/W4318903784","https://openalex.org/W2963987720","https://openalex.org/W3022187094","https://openalex.org/W2146310005","https://openalex.org/W2963790827","https://openalex.org/W3190687883","https://openalex.org/W2786010873"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
