{"id":"https://openalex.org/W7161287120","doi":"https://doi.org/10.48550/arxiv.2605.14370","title":"Deciphering Neural Reparameterized Full-Waveform Inversion with Neural Sensitivity Kernel and Wave Tangent Kernel","display_name":"Deciphering Neural Reparameterized Full-Waveform Inversion with Neural Sensitivity Kernel and Wave Tangent Kernel","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161287120","doi":"https://doi.org/10.48550/arxiv.2605.14370"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.14370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14370","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.14370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136265205","display_name":"Ruihua Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Ruihua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136217684","display_name":"Yisi Luo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luo, Yisi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136231926","display_name":"Bangyu Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Bangyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136248552","display_name":"Xile Zhao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhao, Xile","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136207808","display_name":"Deyu Meng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meng, Deyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9883000254631042,"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":0.9883000254631042,"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":0.004800000227987766,"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/T10413","display_name":"High-pressure geophysics and materials","score":0.0019000000320374966,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6671000123023987},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6355000138282776},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5906999707221985},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5515999794006348},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.4415999948978424},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.39820000529289246},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.39259999990463257},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.34119999408721924}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6671000123023987},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6355000138282776},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5906999707221985},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5515999794006348},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4415999948978424},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.39820000529289246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3961000144481659},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.39259999990463257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3828999996185303},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3702999949455261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36090001463890076},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.34119999408721924},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.33970001339912415},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.3255000114440918},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.2969000041484833},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.28209999203681946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2669000029563904},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.14370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14370","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.14370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14370","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Full-waveform":[0],"inversion":[1,159],"(FWI)":[2],"estimates":[3],"unknown":[4],"parameters":[5,25],"in":[6,16,153,173],"the":[7,24,32,35,43,61,67,88,99,114,118,123,128,134,170],"wave":[8,68,103,124],"equation":[9],"from":[10,77],"limited":[11],"boundary":[12],"measurements.":[13],"Recent":[14],"advances":[15],"neural":[17,28,62,89,95],"reparameterized":[18],"FWI":[19],"(NeurFWI)":[20],"demonstrate":[21],"that":[22,87],"representing":[23],"using":[26],"a":[27],"network":[29],"can":[30],"reduce":[31],"reliance":[33],"on":[34,141],"high-quality":[36],"initial":[37],"model":[38,79],"and":[39,66,80,102,122,138,155,161,169,176],"wavefield":[40],"data,":[41],"at":[42],"cost":[44],"of":[45,131,136],"slow":[46],"high-resolution":[47],"convergence.":[48],"However,":[49],"its":[50],"underlying":[51],"theoretical":[52,84,167],"mechanism":[53],"remains":[54],"unclear.":[55],"In":[56],"this":[57],"study,":[58],"we":[59,144],"establish":[60],"sensitivity":[63,101],"kernel":[64,70,91],"(NSK)":[65],"tangent":[69,90,104],"(WTK)":[71],"to":[72,109,157,181],"analyze":[73],"their":[74,179],"convergence":[75,129],"behavior":[76,130],"both":[78],"data":[81],"domains.":[82],"These":[83],"frameworks":[85],"show":[86],"(NTK)":[92],"induced":[93],"by":[94],"representation":[96],"adaptively":[97],"modulates":[98],"original":[100],"kernels.":[105],"This":[106],"modulation":[107],"leads":[108],"several":[110,146],"key":[111],"outcomes,":[112],"i.e.,":[113],"spectral":[115],"filtering":[116],"effect,":[117],"gradient":[119],"wavenumber":[120],"modulation,":[121],"frequency":[125],"bias,":[126],"connecting":[127],"NeurFWI":[132,148],"with":[133,150],"eigen-structures":[135,152],"NSK":[137,154],"WTK.":[139],"Building":[140],"these":[142,166],"insights,":[143],"propose":[145],"enhanced":[147],"methods":[149,172],"tailored":[151],"WTK":[156],"improve":[158],"performances":[160],"efficiency.":[162],"We":[163],"numerically":[164],"validate":[165],"claims":[168],"proposed":[171],"seismic":[174],"exploration,":[175],"firstly":[177],"extend":[178],"application":[180],"medical":[182],"imaging.":[183]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-16T00:00:00"}