{"id":"https://openalex.org/W7133489762","doi":"https://doi.org/10.48550/arxiv.2603.02231","title":"Physics-Informed Neural Networks with Architectural Physics Embedding for Large-Scale Wave Field Reconstruction","display_name":"Physics-Informed Neural Networks with Architectural Physics Embedding for Large-Scale Wave Field Reconstruction","publication_year":2026,"publication_date":"2026-02-13","ids":{"openalex":"https://openalex.org/W7133489762","doi":"https://doi.org/10.48550/arxiv.2603.02231"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.02231","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.02231","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.2603.02231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128050131","display_name":"Huiwen Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Huiwen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100922012","display_name":"Feng Ye","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ye, Feng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Ma, Chu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ma, Chu","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/T11206","display_name":"Model Reduction and Neural Networks","score":0.5091999769210815,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.5091999769210815,"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"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.1868000030517578,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.12430000305175781,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/artificial-neural-network","display_name":"Artificial neural network","score":0.619700014591217},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.48030000925064087},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.46140000224113464},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.453000009059906},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.450300008058548},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4341999888420105},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.4327999949455261},{"id":"https://openalex.org/keywords/bridging","display_name":"Bridging (networking)","score":0.41269999742507935},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.38029998540878296}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.619700014591217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.586899995803833},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.48030000925064087},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.46140000224113464},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.453000009059906},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.450300008058548},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4341999888420105},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4327999949455261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42010000348091125},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.41269999742507935},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3982999920845032},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.38029998540878296},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.37450000643730164},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.365200012922287},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.36149999499320984},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.3529999852180481},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3490000069141388},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.31790000200271606},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.3165999948978424},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.3138999938964844},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C206844423","wikidata":"https://www.wikidata.org/wiki/Q5157313","display_name":"Computational electromagnetics","level":3,"score":0.2800999879837036},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C91748784","wikidata":"https://www.wikidata.org/wiki/Q11406","display_name":"Electromagnetism","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.02231","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.02231","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.2603.02231","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.02231","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":[{"score":0.42403918504714966,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Large-scale":[0],"wave":[1,97,148,187,210],"field":[2,98,211],"reconstruction":[3,188],"requires":[4],"precise":[5],"solutions":[6],"but":[7,27,45],"faces":[8],"challenges":[9],"with":[10,29,139],"computational":[11,37],"efficiency":[12],"and":[13,89,121,147,166,192,205],"accuracy.":[14],"The":[15],"physics-based":[16],"numerical":[17],"methods":[18],"like":[19],"Finite":[20],"Element":[21],"Method":[22],"(FEM)":[23],"provide":[24],"high":[25],"accuracy":[26],"struggle":[28],"large-scale":[30,96,184,209],"or":[31],"high-frequency":[32],"problems":[33],"due":[34],"to":[35,84,135,163,176,199],"prohibitive":[36],"costs.":[38],"Pure":[39],"data-driven":[40],"approaches":[41],"excel":[42],"in":[43,80,124,160,172,194],"speed":[44],"often":[46],"lack":[47],"sufficient":[48],"labeled":[49],"data":[50],"for":[51,95,183],"complex":[52],"scenarios.":[53],"Physics-informed":[54],"neural":[55,115],"networks":[56],"(PINNs)":[57],"integrate":[58],"physical":[59,77,110],"principles":[60,78],"into":[61,113],"machine":[62],"learning":[63],"models,":[64],"offering":[65],"a":[66,128],"promising":[67],"solution":[68],"by":[69,142],"bridging":[70],"these":[71],"gaps.":[72],"However,":[73],"standard":[74,164],"PINNs":[75,165],"embed":[76],"only":[79],"loss":[81,125],"functions,":[82],"leading":[83],"slow":[85],"convergence,":[86],"optimization":[87],"instability,":[88],"spectral":[90,137],"bias,":[91],"limiting":[92],"their":[93],"ability":[94],"reconstruction.":[99],"This":[100,178],"work":[101],"introduces":[102],"architecture":[103,117],"physics":[104],"embedded":[105],"(PE)-PINN,":[106],"which":[107],"integrates":[108],"additional":[109],"guidance":[111],"directly":[112],"the":[114],"network":[116],"beyond":[118],"Helmholtz":[119],"equations":[120],"boundary":[122],"conditions":[123],"functions.":[126],"Specifically,":[127],"new":[129],"envelope":[130],"transformation":[131],"layer":[132],"is":[133],"designed":[134],"mitigate":[136],"bias":[138],"kernels":[140],"parameterized":[141],"source":[143],"properties,":[144],"material":[145],"interfaces,":[146],"physics.":[149],"Experiments":[150],"demonstrate":[151],"that":[152],"PE-PINN":[153],"achieves":[154],"more":[155],"than":[156],"10":[157],"times":[158],"speedup":[159],"convergence":[161],"compared":[162,175],"several":[167],"orders":[168],"of":[169],"magnitude":[170],"reduction":[171],"memory":[173],"usage":[174],"FEM.":[177],"breakthrough":[179],"enables":[180],"high-fidelity":[181],"modeling":[182],"2D/3D":[185],"electromagnetic":[186],"involving":[189],"reflections,":[190],"refractions,":[191],"diffractions":[193],"room-scale":[195],"domains,":[196],"readily":[197],"applicable":[198],"wireless":[200],"communications,":[201],"sensing,":[202],"room":[203],"acoustics,":[204],"other":[206],"fields":[207],"requiring":[208],"analysis.":[212]},"counts_by_year":[],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2026-03-05T00:00:00"}