{"id":"https://openalex.org/W4401387430","doi":"https://doi.org/10.1109/tgrs.2024.3440199","title":"Transfer Learning Fourier Neural Operator for Solving Parametric Frequency-Domain Wave Equations","display_name":"Transfer Learning Fourier Neural Operator for Solving Parametric Frequency-Domain Wave Equations","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4401387430","doi":"https://doi.org/10.1109/tgrs.2024.3440199"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2024.3440199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2024.3440199","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/A5037378437","display_name":"Yufeng Wang","orcid":"https://orcid.org/0000-0001-7929-1645"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufeng Wang","raw_affiliation_strings":["Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-7929-1645","affiliations":[{"raw_affiliation_string":"Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115595886","display_name":"Heng Zhang","orcid":"https://orcid.org/0009-0007-6751-7062"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Heng Zhang","raw_affiliation_strings":["Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Chensen Lai","orcid":null},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chensen Lai","raw_affiliation_strings":["Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004788238","display_name":"Xiangyun Hu","orcid":"https://orcid.org/0000-0003-3623-8304"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyun Hu","raw_affiliation_strings":["Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-3623-8304","affiliations":[{"raw_affiliation_string":"Hubei Subsurface Multi-Scale Imaging Key Laboratory, School of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3124059619"],"apc_list":null,"apc_paid":null,"fwci":3.7533,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.93566711,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"62","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.988099992275238,"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/frequency-domain","display_name":"Frequency domain","score":0.6440025568008423},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.559151828289032},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5562124252319336},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5385651588439941},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.537950336933136},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4781554639339447},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.46413013339042664},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30933356285095215},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2498016655445099},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22627481818199158},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.10679468512535095}],"concepts":[{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6440025568008423},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.559151828289032},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5562124252319336},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5385651588439941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.537950336933136},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4781554639339447},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.46413013339042664},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30933356285095215},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2498016655445099},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22627481818199158},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.10679468512535095},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2024.3440199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2024.3440199","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":[],"awards":[{"id":"https://openalex.org/G2674244248","display_name":null,"funder_award_id":"42304121","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5225136957","display_name":null,"funder_award_id":"U2344218","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6003498864","display_name":null,"funder_award_id":"2021DQ02-0301","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W595079961","https://openalex.org/W1569251459","https://openalex.org/W1865538694","https://openalex.org/W1865627710","https://openalex.org/W1977341879","https://openalex.org/W1999707828","https://openalex.org/W2024381649","https://openalex.org/W2100245965","https://openalex.org/W2104899982","https://openalex.org/W2148631859","https://openalex.org/W2339333631","https://openalex.org/W2962789715","https://openalex.org/W2979786244","https://openalex.org/W3092923133","https://openalex.org/W3121802686","https://openalex.org/W3163993681","https://openalex.org/W3167455792","https://openalex.org/W3192024931","https://openalex.org/W3197308578","https://openalex.org/W3202809124","https://openalex.org/W3210300097","https://openalex.org/W4221019179","https://openalex.org/W4225163013","https://openalex.org/W4225272855","https://openalex.org/W4225906496","https://openalex.org/W4239342290","https://openalex.org/W4284969399","https://openalex.org/W4290065558","https://openalex.org/W4296549181","https://openalex.org/W4310497802","https://openalex.org/W4315628777","https://openalex.org/W4362496355","https://openalex.org/W4366147144","https://openalex.org/W4366606635","https://openalex.org/W4367047414","https://openalex.org/W4367674997","https://openalex.org/W4379255872","https://openalex.org/W4379540161","https://openalex.org/W4380154207","https://openalex.org/W4382501042","https://openalex.org/W4386065378","https://openalex.org/W4386561596","https://openalex.org/W4388726199","https://openalex.org/W4390590981","https://openalex.org/W4392946869","https://openalex.org/W4399392843","https://openalex.org/W6755308174","https://openalex.org/W6784227514","https://openalex.org/W6810767514","https://openalex.org/W6842912589","https://openalex.org/W6843344506","https://openalex.org/W6852713634","https://openalex.org/W6853147863","https://openalex.org/W6854549590","https://openalex.org/W6855109593","https://openalex.org/W6856250346"],"related_works":["https://openalex.org/W2087811809","https://openalex.org/W1496898320","https://openalex.org/W2010174421","https://openalex.org/W2153850702","https://openalex.org/W2103335207","https://openalex.org/W374138505","https://openalex.org/W2362809392","https://openalex.org/W2120335903","https://openalex.org/W208852484","https://openalex.org/W2496348321"],"abstract_inverted_index":{"Fourier":[0],"neural":[1,49],"operator":[2,50],"(FNO)":[3],"is":[4,91,212],"a":[5,57,95,183],"recently":[6],"proposed":[7,195,210],"data-driven":[8],"scheme":[9],"to":[10,32,39,71,147,169,214,220],"approximate":[11],"the":[12,29,33,46,62,105,111,125,149,158,171,178,190,194,209],"implicit":[13],"operators":[14],"characterized":[15],"by":[16],"partial":[17],"differential":[18],"equations":[19,80],"(PDEs)":[20],"between":[21,174],"functional":[22,26],"spaces.":[23],"The":[24,87],"infinite-dimensional":[25],"mapping":[27],"from":[28],"parameter":[30],"space":[31,36],"state":[34],"variable":[35],"enables":[37],"us":[38],"solve":[40],"parametric":[41,225],"PDEs":[42],"efficiently.":[43],"To":[44],"explore":[45],"potential":[47],"of":[48,124,127,180,185,193,202],"learning":[51,59,68,153],"in":[52,76,129,161,200,224],"geophysics":[53],"exploration,":[54],"we":[55],"devise":[56],"transfer":[58,67,152],"approach":[60],"with":[61,104],"fine-tuning":[63,142],"FNO":[64,69,89,199],"backbone,":[65],"termed":[66],"(TL-FNO),":[70],"gain":[72],"good":[73],"generalization":[74,159],"ability":[75],"solving":[77],"frequency-domain":[78,112],"wave":[79,226],"at":[81,94,114],"multiple":[82],"source":[83,97],"locations":[84],"and":[85,99,101,117,141,151,177,204],"frequencies.":[86,118],"baseline":[88],"model":[90,219],"initially":[92],"trained":[93],"single":[96],"location":[98],"frequency":[100],"then":[102],"shared":[103],"downstream":[106],"tasks":[107],"for":[108],"seamlessly":[109],"predicting":[110],"wavefields":[113],"different":[115],"sources":[116],"We":[119,206],"conduct":[120],"an":[121,216],"in-depth":[122],"analysis":[123],"behavior":[126],"TL-FNO":[128,181,196,211],"diverse":[130],"training":[131,139],"settings,":[132],"exploring":[133],"dimensions":[134],"such":[135],"as":[136,155,157],"data":[137],"scale,":[138,140],"recipes.":[143],"Our":[144],"focus":[145],"extends":[146],"understanding":[148],"scaling":[150],"dynamics,":[154],"well":[156],"performance":[160],"out-of-distribution":[162],"(OOD)":[163],"scenarios.":[164],"This":[165],"comprehensive":[166],"study":[167],"aims":[168],"unveil":[170],"intricate":[172],"relationships":[173],"these":[175],"factors":[176],"efficacy":[179],"across":[182],"range":[184],"conditions.":[186],"Numerical":[187],"examples":[188],"demonstrate":[189],"notable":[191],"superiority":[192],"over":[197],"vanilla":[198],"terms":[201],"accuracy":[203],"efficiency.":[205],"anticipate":[207],"that":[208],"expected":[213],"be":[215],"efficient":[217],"surrogate":[218],"accelerate":[221],"forward":[222],"simulations":[223],"equation":[227],"inversion":[228],"problems.":[229]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8}],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}