{"id":"https://openalex.org/W7128774613","doi":"https://doi.org/10.48550/arxiv.2602.11631","title":"Enforcing Reciprocity in Operator Learning for Seismic Wave Propagation","display_name":"Enforcing Reciprocity in Operator Learning for Seismic Wave Propagation","publication_year":2026,"publication_date":"2026-02-12","ids":{"openalex":"https://openalex.org/W7128774613","doi":"https://doi.org/10.48550/arxiv.2602.11631"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.11631","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022648809","display_name":"Caifeng Zou","orcid":"https://orcid.org/0000-0001-9445-7594"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zou, Caifeng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125962661","display_name":"Yaozhong Shi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shi, Yaozhong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Ross, Zachary E.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ross, Zachary E.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125920808","display_name":"Robert W. Clayton","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Clayton, Robert W.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038884528","display_name":"Kamyar Azizzadenesheli","orcid":"https://orcid.org/0000-0001-8507-1868"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Azizzadenesheli, Kamyar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5022648809"],"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":0.7886000275611877,"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":0.7886000275611877,"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/T13018","display_name":"Seismology and Earthquake Studies","score":0.11720000207424164,"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":0.03530000150203705,"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/eikonal-equation","display_name":"Eikonal equation","score":0.6747999787330627},{"id":"https://openalex.org/keywords/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.6729000210762024},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.503000020980835},{"id":"https://openalex.org/keywords/bitwise-operation","display_name":"Bitwise operation","score":0.397599995136261},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"Wave propagation","score":0.3625999987125397},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.350600004196167},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.34470000863075256},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.33000001311302185},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.3294000029563904}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.6747999787330627},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.6729000210762024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5205000042915344},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.503000020980835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3986999988555908},{"id":"https://openalex.org/C134765980","wikidata":"https://www.wikidata.org/wiki/Q879126","display_name":"Bitwise operation","level":2,"score":0.397599995136261},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.3625999987125397},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.350600004196167},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.34470000863075256},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33329999446868896},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.33000001311302185},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.3294000029563904},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C58677928","wikidata":"https://www.wikidata.org/wiki/Q911268","display_name":"D'Alembert operator","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C78542244","wikidata":"https://www.wikidata.org/wiki/Q186167","display_name":"Seismic wave","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.27000001072883606},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26989999413490295},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26899999380111694},{"id":"https://openalex.org/C149810388","wikidata":"https://www.wikidata.org/wiki/Q5374873","display_name":"Emulation","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C74912251","wikidata":"https://www.wikidata.org/wiki/Q6815727","display_name":"Memory footprint","level":2,"score":0.2597000002861023}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.11631","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.11631","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.11631","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":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.11631","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"score":0.5132325887680054,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Accurate":[0],"and":[1,8,77,86,149],"efficient":[2],"wavefield":[3],"modeling":[4,62],"underpins":[5],"seismic":[6,63],"structure":[7],"source":[9,85],"studies.":[10],"Traditional":[11],"methods":[12],"comply":[13],"with":[14],"physical":[15,34,46,91],"laws":[16,47],"but":[17],"are":[18],"computationally":[19],"intensive.":[20],"Data-driven":[21],"methods,":[22],"while":[23],"opening":[24],"new":[25],"avenues":[26],"for":[27,61,99,131,160],"advancement,":[28],"have":[29],"yet":[30],"to":[31,80,143],"incorporate":[32],"strict":[33],"consistency.":[35],"The":[36,71],"principle":[37],"of":[38,42],"reciprocity":[39,69,129,164],"is":[40,140],"one":[41],"the":[43,53,68,74,93,125,128,154,158],"most":[44],"fundamental":[45],"in":[48],"wave":[49,64],"propagation.":[50],"We":[51,123],"introduce":[52],"Reciprocity-Enforced":[54],"Neural":[55],"Operator":[56],"(RENO),":[57],"a":[58,109,114,119],"transformer-based":[59],"architecture":[60,95,139],"propagation":[65],"that":[66],"hard-codes":[67],"principle.":[70],"model":[72],"leverages":[73],"cross-attention":[75],"mechanism":[76],"commutative":[78],"operations":[79],"guarantee":[81],"invariance":[82],"under":[83,135,146],"swapping":[84],"receiver":[87],"positions.":[88],"Beyond":[89],"improved":[90],"consistency,":[92],"proposed":[94],"supports":[96],"simultaneous":[97],"realizations":[98],"multiple":[100],"sources.":[101],"This":[102,138],"yields":[103],"an":[104],"order-of-magnitude":[105],"inference":[106],"speedup":[107],"at":[108],"similar":[110],"memory":[111],"footprint":[112],"over":[113],"conventional":[115],"neural":[116],"operator":[117],"on":[118],"realistic":[120],"multi-source":[121],"configuration.":[122],"demonstrate":[124],"functionality":[126],"using":[127],"relation":[130],"particle":[132],"velocity":[133],"fields":[134,145,151],"single":[136],"forces.":[137],"also":[141],"applicable":[142],"pressure":[144],"dilatational":[147],"sources":[148],"travel-time":[150],"governed":[152],"by":[153],"eikonal":[155],"equation,":[156],"paving":[157],"way":[159],"encoding":[161],"more":[162],"complex":[163],"relations.":[165]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2026-02-14T00:00:00"}
