{"id":"https://openalex.org/W4415950607","doi":"https://doi.org/10.1088/2632-2153/ae143b","title":"Plane-wave decomposition and randomised training; a novel path to generalised physics-informed neural networks for simple harmonic motion","display_name":"Plane-wave decomposition and randomised training; a novel path to generalised physics-informed neural networks for simple harmonic motion","publication_year":2025,"publication_date":"2025-11-06","ids":{"openalex":"https://openalex.org/W4415950607","doi":"https://doi.org/10.1088/2632-2153/ae143b"},"language":"en","primary_location":{"id":"doi:10.1088/2632-2153/ae143b","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/ae143b","pdf_url":null,"source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1088/2632-2153/ae143b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003032656","display_name":"R R Clements","orcid":"https://orcid.org/0009-0002-0698-3987"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Rory Clements","raw_affiliation_strings":["Faculty of Environment, Science and Economy, University of Exeter, Exeter, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Faculty of Environment, Science and Economy, University of Exeter, Exeter, United Kingdom","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036627762","display_name":"James Ellis","orcid":"https://orcid.org/0000-0002-9480-3407"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"James Ellis","raw_affiliation_strings":["Oxford Instruments Plasma Technology, Bristol BS35 4GG, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Oxford Instruments Plasma Technology, Bristol BS35 4GG, United Kingdom","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083790008","display_name":"Geoff Hassall","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Geoff Hassall","raw_affiliation_strings":["Oxford Instruments Plasma Technology, Bristol BS35 4GG, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Oxford Instruments Plasma Technology, Bristol BS35 4GG, United Kingdom","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078625839","display_name":"S. A. R. Horsley","orcid":"https://orcid.org/0000-0001-7242-7941"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Simon Horsley","raw_affiliation_strings":["Faculty of Environment, Science and Economy, University of Exeter, Exeter, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Faculty of Environment, Science and Economy, University of Exeter, Exeter, United Kingdom","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018337508","display_name":"Gavin Tabor","orcid":"https://orcid.org/0000-0003-3549-228X"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Gavin Tabor","raw_affiliation_strings":["Faculty of Environment, Science and Economy, University of Exeter, Exeter, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Faculty of Environment, Science and Economy, University of Exeter, Exeter, United Kingdom","institution_ids":["https://openalex.org/I23923803"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5003032656","https://openalex.org/A5018337508","https://openalex.org/A5036627762","https://openalex.org/A5078625839","https://openalex.org/A5083790008"],"corresponding_institution_ids":["https://openalex.org/I23923803"],"apc_list":{"value":1600,"currency":"GBP","value_usd":1962},"apc_paid":{"value":1600,"currency":"GBP","value_usd":1962},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27416381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"4","first_page":"045038","last_page":"045038"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9627000093460083,"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":0.9627000093460083,"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":0.016100000590085983,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.002300000051036477,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.6704999804496765},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.620199978351593},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.570900022983551},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4747999906539917},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4717000126838684},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46709999442100525},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.42660000920295715},{"id":"https://openalex.org/keywords/training-set","display_name":"Training set","score":0.3711000084877014}],"concepts":[{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.6704999804496765},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.620199978351593},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.570900022983551},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4747999906539917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.474700003862381},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4717000126838684},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46709999442100525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4381999969482422},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.42660000920295715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4196999967098236},{"id":"https://openalex.org/C51632099","wikidata":"https://www.wikidata.org/wiki/Q3985153","display_name":"Training set","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C75816695","wikidata":"https://www.wikidata.org/wiki/Q835975","display_name":"Simple harmonic motion","level":2,"score":0.3614000082015991},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35920000076293945},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.350600004196167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35019999742507935},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3418000042438507},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34150001406669617},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C2777211547","wikidata":"https://www.wikidata.org/wiki/Q17141490","display_name":"Training (meteorology)","level":2,"score":0.287200003862381},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1088/2632-2153/ae143b","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/ae143b","pdf_url":null,"source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c37a56e8879448b7a8ef81193ed1c4d6","is_oa":true,"landing_page_url":"https://doaj.org/article/c37a56e8879448b7a8ef81193ed1c4d6","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Machine Learning: Science and Technology, Vol 6, Iss 4, p 045038 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1088/2632-2153/ae143b","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/ae143b","pdf_url":null,"source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1498436455","https://openalex.org/W1885185971","https://openalex.org/W2040870580","https://openalex.org/W2137983211","https://openalex.org/W2333810343","https://openalex.org/W2889522259","https://openalex.org/W2899283552","https://openalex.org/W2923537029","https://openalex.org/W2979786244","https://openalex.org/W2998366519","https://openalex.org/W3003257820","https://openalex.org/W3116268267","https://openalex.org/W3124283604","https://openalex.org/W3157506487","https://openalex.org/W3194485217","https://openalex.org/W4214759498","https://openalex.org/W4224303786","https://openalex.org/W4283712797","https://openalex.org/W4379519592","https://openalex.org/W4391629689","https://openalex.org/W4394720119","https://openalex.org/W4394998532","https://openalex.org/W4401558829","https://openalex.org/W4402827736"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,38,66,87,109],"paper,":[3],"we":[4,40],"introduce":[5],"a":[6,23,28,42,79],"formulation":[7,91],"of":[8,18,30,61,82,100,111],"physics-informed":[9],"neural":[10],"networks":[11],"(PINNs),":[12],"based":[13,26],"on":[14,27],"learning":[15],"the":[16,19,55,69,73,89,101,112],"form":[17],"Fourier":[20],"decomposition,":[21],"and":[22,64],"training":[24,36,47,74,102],"methodology":[25],"spread":[29],"randomly":[31],"chosen":[32],"boundary":[33,62,116],"conditions.":[34,117],"By":[35],"in":[37],"way":[39],"produce":[41],"PINN":[43,90],"that":[44,71,86],"generalises;":[45],"after":[46],"it":[48],"can":[49],"be":[50],"used":[51],"to":[52,96,103],"correctly":[53],"predict":[54],"solution":[56,67,113],"for":[57,78],"an":[58,97],"arbitrary":[59],"set":[60],"conditions":[63],"interpolate":[65],"between":[68],"samples":[70],"spanned":[72],"domain.":[75],"We":[76],"demonstrate":[77],"toy":[80],"system":[81],"two":[83],"coupled":[84],"oscillators":[85],"gives":[88],"genuine":[92],"predictive":[93],"capability":[94],"owing":[95],"effective":[98],"reduction":[99],"evaluation":[104],"times":[105],"ratio":[106],"resulting":[107],"from":[108,114],"decoupling":[110],"specific":[115]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-06T00:00:00"}
