{"id":"https://openalex.org/W4385188503","doi":"https://doi.org/10.1145/3583133.3596397","title":"Neuroevolution of Physics-Informed Neural Nets: Benchmark Problems and Comparative Results","display_name":"Neuroevolution of Physics-Informed Neural Nets: Benchmark Problems and Comparative Results","publication_year":2023,"publication_date":"2023-07-15","ids":{"openalex":"https://openalex.org/W4385188503","doi":"https://doi.org/10.1145/3583133.3596397"},"language":"en","primary_location":{"id":"doi:10.1145/3583133.3596397","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1145/3583133.3596397","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Companion Conference on Genetic and Evolutionary Computation","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/A5092527948","display_name":"Nicholas Sung","orcid":"https://orcid.org/0000-0003-1184-8608"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Nicholas Sung","raw_affiliation_strings":["Agency for Science, Technology and Research, Singapore, Singapore","Center for Frontier AI Research, Singapore, Singapore","Center for Frontier AI Research, Singapore, Singapore Agency for Science, Technology and Research, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I115228651"]},{"raw_affiliation_string":"Center for Frontier AI Research, Singapore, Singapore","institution_ids":[]},{"raw_affiliation_string":"Center for Frontier AI Research, Singapore, Singapore Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I115228651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083484247","display_name":"Jian Cheng Wong","orcid":"https://orcid.org/0000-0002-3215-1888"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I3004594783","display_name":"Institute of High Performance Computing","ror":"https://ror.org/02n0ejh50","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I91275662"]},{"id":"https://openalex.org/I4210101200","display_name":"Singapore Institute for Clinical Sciences","ror":"https://ror.org/015p9va32","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I4210101200"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jian Cheng Wong","raw_affiliation_strings":["Fluid Dynamics, Institute for High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore","Nanyang Technological University, Singapore, Singapore","Fluid Dynamics, Institute for High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Fluid Dynamics, Institute for High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I3004594783","https://openalex.org/I115228651","https://openalex.org/I4210101200"]},{"raw_affiliation_string":"Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Fluid Dynamics, Institute for High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005","https://openalex.org/I115228651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042621252","display_name":"Chin Chun Ooi","orcid":"https://orcid.org/0000-0003-4813-4529"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3004594783","display_name":"Institute of High Performance Computing","ror":"https://ror.org/02n0ejh50","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chin Chun Ooi","raw_affiliation_strings":["Center for Frontier AI Research, Singapore, Singapore","Institute of High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore","Institute of High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore Center for Frontier AI Research, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Center for Frontier AI Research, Singapore, Singapore","institution_ids":[]},{"raw_affiliation_string":"Institute of High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I3004594783","https://openalex.org/I115228651"]},{"raw_affiliation_string":"Institute of High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore Center for Frontier AI Research, Singapore, Singapore","institution_ids":["https://openalex.org/I3004594783","https://openalex.org/I115228651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041091856","display_name":"Abhishek Gupta","orcid":"https://orcid.org/0000-0002-6080-855X"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I4210091207","display_name":"Singapore Institute of Manufacturing Technology","ror":"https://ror.org/00f44np30","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I4210091207","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Abhishek Gupta","raw_affiliation_strings":["Nanyang Technological University, Singapore, Singapore","Singapore Institute of Manufacturing Technology, Agency for Science, Technology and Research, Singapore, Singapore","Singapore Institute of Manufacturing Technology, Agency for Science, Technology and Research, Singapore, Singapore Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Singapore Institute of Manufacturing Technology, Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I115228651","https://openalex.org/I4210091207"]},{"raw_affiliation_string":"Singapore Institute of Manufacturing Technology, Agency for Science, Technology and Research, Singapore, Singapore Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I4210091207","https://openalex.org/I172675005","https://openalex.org/I115228651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065689104","display_name":"Pao\u2010Hsiung Chiu","orcid":"https://orcid.org/0000-0002-5626-9688"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3004594783","display_name":"Institute of High Performance Computing","ror":"https://ror.org/02n0ejh50","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Pao-Hsiung Chiu","raw_affiliation_strings":["Institute for High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Institute for High Performance Computing, Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I3004594783","https://openalex.org/I115228651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068243197","display_name":"Yew-Soon Ong","orcid":"https://orcid.org/0000-0002-4480-169X"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yew-Soon Ong","raw_affiliation_strings":["Agency for Science, Technology and Research, Singapore, Singapore","Nanyang Technological University, Singapore, Singapore","Agency for Science, Technology and Research, Singapore, Singapore Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Agency for Science, Technology and Research, Singapore, Singapore","institution_ids":["https://openalex.org/I115228651"]},{"raw_affiliation_string":"Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Agency for Science, Technology and Research, Singapore, Singapore Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005","https://openalex.org/I115228651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5092527948"],"corresponding_institution_ids":["https://openalex.org/I115228651"],"apc_list":null,"apc_paid":null,"fwci":0.6579,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65579639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2144","last_page":"2151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9772999882698059,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/neuroevolution","display_name":"Neuroevolution","score":0.9071173071861267},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7794110774993896},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6542223691940308},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.6258099675178528},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6238391399383545},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5464484095573425},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5376618504524231},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.49806761741638184},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.4454513192176819},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3686840236186981},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3320910334587097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19229456782341003}],"concepts":[{"id":"https://openalex.org/C118070581","wikidata":"https://www.wikidata.org/wiki/Q2060528","display_name":"Neuroevolution","level":3,"score":0.9071173071861267},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7794110774993896},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6542223691940308},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.6258099675178528},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6238391399383545},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5464484095573425},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5376618504524231},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.49806761741638184},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.4454513192176819},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3686840236186981},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3320910334587097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19229456782341003},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3583133.3596397","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1145/3583133.3596397","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Companion Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2015506112","https://openalex.org/W2775673861","https://openalex.org/W2899283552","https://openalex.org/W2906697496","https://openalex.org/W3007384386","https://openalex.org/W3014290610","https://openalex.org/W3119250864","https://openalex.org/W3163993681","https://openalex.org/W3197732874","https://openalex.org/W4225892134","https://openalex.org/W4285805250","https://openalex.org/W4286970042","https://openalex.org/W4286988446","https://openalex.org/W4321359614"],"related_works":["https://openalex.org/W2895097035","https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W3020853991","https://openalex.org/W4362706668","https://openalex.org/W4231621013","https://openalex.org/W3171021120","https://openalex.org/W3008318776"],"abstract_inverted_index":{"The":[0],"potential":[1],"of":[2,28,33,40,74,110,142],"learned":[3],"models":[4],"for":[5,83,130,153],"fundamental":[6],"scientific":[7,29],"research":[8],"and":[9,76,172],"discovery":[10],"is":[11,31],"drawing":[12],"increasing":[13],"attention":[14],"worldwide.":[15],"Physics-informed":[16],"neural":[17],"networks":[18],"(PINNs),":[19],"where":[20],"the":[21,34,38,166,177,190],"loss":[22,67],"function":[23],"directly":[24],"embeds":[25],"governing":[26],"equations":[27],"phenomena,":[30],"one":[32],"key":[35],"techniques":[36],"at":[37],"forefront":[39],"recent":[41],"advances.":[42],"PINNs":[43,131],"are":[44],"typically":[45],"trained":[46],"using":[47],"stochastic":[48,169],"gradient":[49,84,134,170,183],"descent":[50,135],"methods,":[51],"akin":[52],"to":[53,70,133],"their":[54,120],"deep":[55,89],"learning":[56],"counterparts.":[57],"However,":[58],"analysis":[59],"in":[60,87,189],"this":[61],"paper":[62],"shows":[63],"that":[64,78,98,179],"PINNs'":[65],"unique":[66],"formulations":[68],"lead":[69],"a":[71,127,140],"high":[72],"degree":[73],"complexity":[75],"ruggedness":[77],"may":[79,125],"not":[80],"be":[81,114,126],"conducive":[82],"descent.":[85],"Unlike":[86],"standard":[88],"learning,":[90],"PINN":[91],"training":[92],"requires":[93],"globally":[94],"optimum":[95],"parameter":[96],"values":[97],"satisfy":[99],"physical":[100,151],"laws":[101],"as":[102,104],"closely":[103],"possible.":[105],"Spurious":[106],"local":[107],"optimum,":[108],"indicative":[109],"erroneous":[111],"physics,":[112],"must":[113],"avoided.":[115],"Hence,":[116],"neuroevolution":[117,155,163,180],"algorithms,":[118],"with":[119,146],"superior":[121],"global":[122],"search":[123],"capacity,":[124],"better":[128,186],"choice":[129],"relative":[132],"methods.":[136],"Here,":[137],"we":[138,160],"propose":[139],"set":[141],"five":[143],"benchmark":[144],"problems,":[145],"open-source":[147],"codes,":[148],"spanning":[149],"diverse":[150],"phenomena":[152],"novel":[154],"algorithm":[156],"development.":[157],"Using":[158],"this,":[159],"compare":[161],"two":[162],"algorithms":[164],"against":[165],"commonly":[167],"used":[168],"descent,":[171,184],"our":[173],"baseline":[174],"results":[175],"support":[176],"claim":[178],"can":[181],"surpass":[182],"ensuring":[185],"physics":[187],"compliance":[188],"predicted":[191],"outputs.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2023-07-25T00:00:00"}
