{"id":"https://openalex.org/W4410359312","doi":"https://doi.org/10.1109/tgrs.2025.3569960","title":"Efficient Uncertainty Quantification for 3-D MT Inversion via Variational Inference","display_name":"Efficient Uncertainty Quantification for 3-D MT Inversion via Variational Inference","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4410359312","doi":"https://doi.org/10.1109/tgrs.2025.3569960"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2025.3569960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2025.3569960","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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 Geoscience and Remote Sensing","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/A5100700785","display_name":"Yunhe Liu","orcid":"https://orcid.org/0000-0002-3634-9832"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunhe Liu","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0002-3634-9832","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034186565","display_name":"Zhiyuan Ke","orcid":"https://orcid.org/0000-0001-5397-1044"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiyuan Ke","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0001-5397-1044","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000526209","display_name":"Changchun Yin","orcid":"https://orcid.org/0000-0002-3760-6562"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changchun Yin","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0002-3760-6562","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046572728","display_name":"Changkai Qiu","orcid":"https://orcid.org/0000-0002-7364-526X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210126061","display_name":"Institute of Geology and Geophysics","ror":"https://ror.org/030vmwa78","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210126061"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changkai Qiu","raw_affiliation_strings":["Key Laboratory of Deep Petroleum Intelligent Exploration and Development, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China","Institute of Geology and Geophysics, Institute of State Key Laboratory of Deep Petroleum Intelligent Exploration and Development, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7364-526X","affiliations":[{"raw_affiliation_string":"Key Laboratory of Deep Petroleum Intelligent Exploration and Development, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210126061","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Institute of Geology and Geophysics, Institute of State Key Laboratory of Deep Petroleum Intelligent Exploration and Development, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210126061","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011613526","display_name":"Zhihao Rong","orcid":"https://orcid.org/0000-0002-1700-4003"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihao Rong","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0002-1700-4003","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084051125","display_name":"Xinpeng Ma","orcid":"https://orcid.org/0000-0003-4326-5204"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinpeng Ma","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0003-4326-5204","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101575467","display_name":"Yang Xu","orcid":"https://orcid.org/0000-0003-2324-1299"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Yang","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090484329","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0003-4046-1015"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0003-4046-1015","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010941076","display_name":"Xiuyan Ren","orcid":"https://orcid.org/0000-0002-9404-7533"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuyan Ren","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0002-9404-7533","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107026225","display_name":"Yang Su","orcid":"https://orcid.org/0000-0001-8685-5584"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Su","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0001-8685-5584","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031143905","display_name":"Aihua Weng","orcid":null},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Aihua Weng","raw_affiliation_strings":["State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China"],"raw_orcid":"https://orcid.org/0000-0003-0493-7215","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-Exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I4210134929"]},{"raw_affiliation_string":"State Key Laboratory of Deep Earth Exploration and Imaging, College of Geo-exploration Science and Technology, Jilin University, Changchun, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":11,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2569,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76165049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"63","issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9837999939918518,"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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.5969254374504089},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5809130668640137},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.574089527130127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5642361044883728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.391766756772995},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35295218229293823},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.23024874925613403},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2035684883594513}],"concepts":[{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5969254374504089},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5809130668640137},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.574089527130127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5642361044883728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.391766756772995},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35295218229293823},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.23024874925613403},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2035684883594513},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2025.3569960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2025.3569960","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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 Geoscience and Remote Sensing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G1439354266","display_name":null,"funder_award_id":"42104081","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4189174603","display_name":null,"funder_award_id":"423B2405","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6526331153","display_name":null,"funder_award_id":"42274093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G700741727","display_name":null,"funder_award_id":"42174167","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7091867343","display_name":null,"funder_award_id":"42474107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G867916758","display_name":null,"funder_award_id":"42030806","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G928670981","display_name":null,"funder_award_id":"42304149","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W571871743","https://openalex.org/W1973166496","https://openalex.org/W1983452151","https://openalex.org/W1992309502","https://openalex.org/W1999310631","https://openalex.org/W2004926800","https://openalex.org/W2036084078","https://openalex.org/W2045976263","https://openalex.org/W2048971218","https://openalex.org/W2101687185","https://openalex.org/W2106793510","https://openalex.org/W2108064160","https://openalex.org/W2113979318","https://openalex.org/W2133454905","https://openalex.org/W2138121191","https://openalex.org/W2142205121","https://openalex.org/W2147629385","https://openalex.org/W2166319975","https://openalex.org/W2166928582","https://openalex.org/W2521835285","https://openalex.org/W2589957991","https://openalex.org/W2783586977","https://openalex.org/W2789400040","https://openalex.org/W2793684865","https://openalex.org/W2802890459","https://openalex.org/W2810372792","https://openalex.org/W2853402520","https://openalex.org/W2943027450","https://openalex.org/W2963085847","https://openalex.org/W2963223306","https://openalex.org/W2963567641","https://openalex.org/W2975636095","https://openalex.org/W2981223997","https://openalex.org/W2986624057","https://openalex.org/W2993393188","https://openalex.org/W3003262276","https://openalex.org/W3082069837","https://openalex.org/W3116711255","https://openalex.org/W3130930348","https://openalex.org/W3150602772","https://openalex.org/W3205893475","https://openalex.org/W3208586476","https://openalex.org/W4210676209","https://openalex.org/W4212863985","https://openalex.org/W4224311911","https://openalex.org/W4251116221","https://openalex.org/W4289948276","https://openalex.org/W4299094297","https://openalex.org/W4306862348","https://openalex.org/W4311415873","https://openalex.org/W4319727201","https://openalex.org/W4377140436","https://openalex.org/W4386976775","https://openalex.org/W4389934727","https://openalex.org/W4391124564","https://openalex.org/W4391128696","https://openalex.org/W4394854893","https://openalex.org/W4396594792","https://openalex.org/W6610566761","https://openalex.org/W6631190155","https://openalex.org/W6687045409","https://openalex.org/W6696569386","https://openalex.org/W6696727771","https://openalex.org/W6725708968"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W1991093342","https://openalex.org/W4409439182","https://openalex.org/W2078622645","https://openalex.org/W2170798819","https://openalex.org/W2053286651","https://openalex.org/W2055243143","https://openalex.org/W3127311823","https://openalex.org/W2181743346"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"efficient":[3,158],"method":[4,91,132,211],"for":[5,160],"uncertainty":[6,161,217],"quantification":[7],"in":[8,50,205],"3D":[9,41],"magnetotelluric":[10],"(MT)":[11],"inversions":[12],"based":[13],"on":[14,112],"variational":[15,20],"inference":[16],"principles":[17],"and":[18,32,39,68,74,87,118,140,183,216],"the":[19,29,45,51,57,66,71,77,93,100,113,137,171,179,188,206,210],"autoencoder":[21],"(VAE)":[22],"framework.":[23],"In":[24],"this":[25],"approach,":[26],"we":[27,107],"replace":[28],"VAE\u2019s":[30],"encoder":[31],"decoder":[33],"respectively":[34],"with":[35,95,165],"a":[36,40,104,109,120,144,156,200],"forward":[37],"modeling":[38],"optimization":[42],"module,":[43],"where":[44],"latent":[46,72,116],"variables":[47,117],"represent":[48],"updates":[49],"constrained":[52],"model":[53,139],"space.":[54],"Utilizing":[55],"reparameterization,":[56],"gradient":[58],"of":[59,70,80,115,151],"objective":[60],"function":[61],"can":[62,133,192,212],"propagate":[63],"back":[64],"to":[65,98,177,199],"mean":[67],"variance":[69],"variables,":[73],"thus":[75],"restores":[76],"Gaussian":[78],"distribution":[79],"resistivity":[81,138],"models.":[82],"By":[83],"setting":[84],"appropriate":[85],"prior":[86],"initial":[88],"distributions,":[89],"our":[90,131],"explores":[92],"solutions":[94],"high":[96],"log-variance":[97,114,184],"fit":[99],"data.":[101],"To":[102],"ensure":[103],"stable":[105],"convergence,":[106],"apply":[108],"smooth":[110],"constraint":[111],"employ":[119],"modified":[121],"adaptive":[122,189],"moment":[123],"estimation":[124],"(Adam)":[125],"optimizer.":[126],"Numerical":[127],"experiments":[128],"confirm":[129],"that":[130,150,170],"accurately":[134],"estimate":[135],"both":[136,178],"standard":[141,172],"deviation":[142,173],"at":[143],"time":[145],"cost":[146],"only":[147],"2-3":[148],"times":[149],"conventional":[152],"inversion,":[153],"which":[154],"provides":[155],"highly":[157],"solution":[159],"analysis.":[162],"The":[163,197],"tests":[164],"varying":[166],"regularization":[167],"parameters":[168],"reveal":[169],"estimates":[174],"are":[175],"sensitive":[176],"Kullback-Leibler":[180],"(KL)":[181],"divergence":[182],"smoothness":[185],"terms,":[186],"while":[187],"smoothing":[190],"strategy":[191],"well":[193],"balance":[194],"these":[195],"effects.":[196],"application":[198],"dataset":[201],"from":[202],"USArray":[203],"survey":[204],"Northwestern":[207],"US":[208],"demonstrates":[209],"achieve":[213],"robust":[214],"inversion":[215],"quantification.":[218]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-05-15T00:00:00"}