{"id":"https://openalex.org/W3185491972","doi":"https://doi.org/10.1007/s00521-022-07294-2","title":"A novel meta-learning initialization method for physics-informed neural networks","display_name":"A novel meta-learning initialization method for physics-informed neural networks","publication_year":2022,"publication_date":"2022-05-08","ids":{"openalex":"https://openalex.org/W3185491972","doi":"https://doi.org/10.1007/s00521-022-07294-2","mag":"3185491972"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-022-07294-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-022-07294-2","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2107.10991","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100331710","display_name":"Xu Liu","orcid":"https://orcid.org/0000-0002-8780-5455"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xu Liu","raw_affiliation_strings":["Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China"],"affiliations":[{"raw_affiliation_string":"Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100718899","display_name":"Xiaoya Zhang","orcid":"https://orcid.org/0000-0002-1035-3200"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaoya Zhang","raw_affiliation_strings":["Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China"],"affiliations":[{"raw_affiliation_string":"Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101990146","display_name":"Wei Peng","orcid":"https://orcid.org/0000-0002-4994-8965"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wei Peng","raw_affiliation_strings":["Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China"],"affiliations":[{"raw_affiliation_string":"Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001113052","display_name":"Weien Zhou","orcid":"https://orcid.org/0000-0001-9833-679X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weien Zhou","raw_affiliation_strings":["Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China"],"affiliations":[{"raw_affiliation_string":"Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089866078","display_name":"Wen Yao","orcid":"https://orcid.org/0000-0001-5224-9834"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wen Yao","raw_affiliation_strings":["Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China"],"affiliations":[{"raw_affiliation_string":"Defense Innovation Institute, Chinese Academy of in the systems Military Science, Beijing, 100071, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100331710"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.1426,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.98395667,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"34","issue":"17","first_page":"14511","last_page":"14534"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9584000110626221,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9298999905586243,"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/initialization","display_name":"Initialization","score":0.9771782159805298},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.726627767086029},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5932873487472534},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5614381432533264},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49118921160697937},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.44373226165771484},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4177817404270172},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3753361105918884},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3412923812866211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19419777393341064}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.9771782159805298},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.726627767086029},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5932873487472534},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5614381432533264},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49118921160697937},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44373226165771484},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4177817404270172},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3753361105918884},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3412923812866211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19419777393341064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00521-022-07294-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-022-07294-2","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2107.10991","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.10991","pdf_url":"https://arxiv.org/pdf/2107.10991","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2107.10991","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.10991","pdf_url":"https://arxiv.org/pdf/2107.10991","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2404692483","display_name":null,"funder_award_id":"11725211","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5837155973","display_name":null,"funder_award_id":"52005505","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":81,"referenced_works":["https://openalex.org/W32452329","https://openalex.org/W609892630","https://openalex.org/W1522301498","https://openalex.org/W1533861849","https://openalex.org/W1965569433","https://openalex.org/W1994128207","https://openalex.org/W2020366183","https://openalex.org/W2027355161","https://openalex.org/W2031305384","https://openalex.org/W2036595722","https://openalex.org/W2063689517","https://openalex.org/W2089213632","https://openalex.org/W2550848904","https://openalex.org/W2604763608","https://openalex.org/W2749028154","https://openalex.org/W2766363782","https://openalex.org/W2774866976","https://openalex.org/W2795900505","https://openalex.org/W2885696722","https://openalex.org/W2890889625","https://openalex.org/W2899283552","https://openalex.org/W2908541468","https://openalex.org/W2948230027","https://openalex.org/W2948551291","https://openalex.org/W2962727772","https://openalex.org/W2963378054","https://openalex.org/W2964078140","https://openalex.org/W2964121744","https://openalex.org/W2970697704","https://openalex.org/W2972954809","https://openalex.org/W2980170422","https://openalex.org/W2993063996","https://openalex.org/W2993158195","https://openalex.org/W2997814214","https://openalex.org/W2998366519","https://openalex.org/W3003922491","https://openalex.org/W3008118574","https://openalex.org/W3008234768","https://openalex.org/W3011205779","https://openalex.org/W3011702823","https://openalex.org/W3011806874","https://openalex.org/W3015192910","https://openalex.org/W3015865829","https://openalex.org/W3017301308","https://openalex.org/W3021668893","https://openalex.org/W3022953487","https://openalex.org/W3023019250","https://openalex.org/W3027712952","https://openalex.org/W3028642772","https://openalex.org/W3036843665","https://openalex.org/W3041682155","https://openalex.org/W3043174105","https://openalex.org/W3047001618","https://openalex.org/W3089266602","https://openalex.org/W3091857602","https://openalex.org/W3092231855","https://openalex.org/W3097269760","https://openalex.org/W3097761003","https://openalex.org/W3098546160","https://openalex.org/W3099057226","https://openalex.org/W3103242287","https://openalex.org/W3103313582","https://openalex.org/W3106066542","https://openalex.org/W3120582478","https://openalex.org/W3156609952","https://openalex.org/W3197473870","https://openalex.org/W4238063566","https://openalex.org/W4245280614","https://openalex.org/W4287662087","https://openalex.org/W4287756134","https://openalex.org/W4289684174","https://openalex.org/W4289703354","https://openalex.org/W4294646197","https://openalex.org/W4300001399","https://openalex.org/W4300514939","https://openalex.org/W4317936928","https://openalex.org/W6600258949","https://openalex.org/W6606548559","https://openalex.org/W6606697098","https://openalex.org/W6633006849","https://openalex.org/W6732103282"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W3204184292","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W3176564347","https://openalex.org/W2480116122","https://openalex.org/W2355833770","https://openalex.org/W1985458517"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":31},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}