{"id":"https://openalex.org/W4372346404","doi":"https://doi.org/10.1109/icassp49357.2023.10096980","title":"Modeling the Wave Equation Using Physics-Informed Neural Networks Enhanced With Attention to Loss Weights","display_name":"Modeling the Wave Equation Using Physics-Informed Neural Networks Enhanced With Attention to Loss Weights","publication_year":2023,"publication_date":"2023-05-05","ids":{"openalex":"https://openalex.org/W4372346404","doi":"https://doi.org/10.1109/icassp49357.2023.10096980"},"language":"en","primary_location":{"id":"doi:10.1109/icassp49357.2023.10096980","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp49357.2023.10096980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-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/A5110479029","display_name":"Shaikhah Alkhadhr","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shaikhah Alkhadhr","raw_affiliation_strings":["The Pennsylvania State University,School of Electrical Engineering and Computer Science,University Park,PA,16802"],"affiliations":[{"raw_affiliation_string":"The Pennsylvania State University,School of Electrical Engineering and Computer Science,University Park,PA,16802","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001621497","display_name":"Mohamed Almekkawy","orcid":"https://orcid.org/0000-0002-9222-3003"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohamed Almekkawy","raw_affiliation_strings":["The Pennsylvania State University,School of Electrical Engineering and Computer Science,University Park,PA,16802"],"affiliations":[{"raw_affiliation_string":"The Pennsylvania State University,School of Electrical Engineering and Computer Science,University Park,PA,16802","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110479029"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":1.166,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75809914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9807999730110168,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperparameter","display_name":"Hyperparameter","score":0.7551593780517578},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6462986469268799},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6442185640335083},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6300218105316162},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.556603193283081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5412073135375977},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5231353640556335},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5121273994445801},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4454612135887146},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39154863357543945},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36519643664360046},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33369529247283936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2340209186077118},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20691722631454468}],"concepts":[{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.7551593780517578},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6462986469268799},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6442185640335083},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6300218105316162},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.556603193283081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5412073135375977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5231353640556335},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5121273994445801},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4454612135887146},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39154863357543945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36519643664360046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33369529247283936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2340209186077118},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20691722631454468},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp49357.2023.10096980","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp49357.2023.10096980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W2978045564","https://openalex.org/W3014009018","https://openalex.org/W3035842227","https://openalex.org/W3047035577","https://openalex.org/W3081274109","https://openalex.org/W3137392741","https://openalex.org/W3211225070","https://openalex.org/W3211855132","https://openalex.org/W4221159548","https://openalex.org/W4226244456","https://openalex.org/W4233189954","https://openalex.org/W4280564340","https://openalex.org/W4387189789","https://openalex.org/W6631190155","https://openalex.org/W6631536737","https://openalex.org/W6780261245","https://openalex.org/W6809970895"],"related_works":["https://openalex.org/W2140186469","https://openalex.org/W4390421286","https://openalex.org/W4280563792","https://openalex.org/W4389724018","https://openalex.org/W4318719684","https://openalex.org/W4318559728","https://openalex.org/W3183136280","https://openalex.org/W2775233965","https://openalex.org/W2946027129","https://openalex.org/W3201990513"],"abstract_inverted_index":{"Modeling":[0],"Partial":[1],"differential":[2],"equations":[3],"(PDEs)":[4],"is":[5],"a":[6,23,50,66,114,120],"well-known":[7],"challenge":[8],"in":[9,26,104,113],"the":[10,17,37,45,59,63,78,95,99,110,138],"field":[11],"of":[12,41,80],"scientific":[13],"computing.":[14],"In":[15,85],"particular,":[16],"linear":[18],"acoustic":[19],"wave":[20,60,111,123],"PDE":[21,61,112],"forms":[22],"significant":[24],"problem":[25],"modeling":[27],"due":[28],"to":[29,57,106,137],"its":[30],"oscillatory":[31],"behavior":[32],"and":[33,82,118,132],"multi-scale":[34],"tendency.":[35],"With":[36],"recently":[38],"introduced":[39],"class":[40],"deep":[42],"neural":[43,47],"networks,":[44],"physics-informed":[46],"networks":[48],"(PINNs),":[49],"mesh-free":[51],"approach":[52],"can":[53],"now":[54],"be":[55],"utilized":[56],"model":[58,109],"without":[62],"need":[64],"for":[65,70,98],"previously":[67],"known":[68],"solution":[69],"training.":[71],"Other":[72],"training":[73],"challenges":[74],"remain":[75],"such":[76],"as":[77],"selection":[79],"hyperparameters":[81],"loss":[83,101],"convergence.":[84],"this":[86],"paper,":[87],"we":[88],"propose":[89],"an":[90],"enhancement":[91,128],"that":[92],"focuses":[93],"on":[94],"assigned":[96],"weights":[97],"PINN":[100],"function":[102],"terms":[103],"order":[105],"more":[107],"accurately":[108],"homogeneous,":[115],"inhomogeneous":[116],"domain,":[117],"with":[119],"higher":[121],"frequency":[122],"source":[124],"function.":[125],"The":[126],"proposed":[127],"reflected":[129],"reduced":[130],"residual":[131],"relative":[133],"error":[134],"values":[135],"compared":[136],"baseline":[139],"architecture.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
