{"id":"https://openalex.org/W4400322294","doi":"https://doi.org/10.23967/wccm.2024.125","title":"A dynamic weighted loss function for enhancing the performance of neural networks","display_name":"A dynamic weighted loss function for enhancing the performance of neural networks","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400322294","doi":"https://doi.org/10.23967/wccm.2024.125"},"language":"en","primary_location":{"id":"doi:10.23967/wccm.2024.125","doi":"https://doi.org/10.23967/wccm.2024.125","is_oa":false,"landing_page_url":"https://doi.org/10.23967/wccm.2024.125","pdf_url":null,"source":{"id":"https://openalex.org/S4363606451","display_name":"World Congress on Computational Mechanics (WCCM)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04536431/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109491362","display_name":"Chetra Mang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3018083178","display_name":"Institut de Recherche Technologique SystemX","ror":"https://ror.org/03crmsn52","country_code":"FR","type":"facility","lineage":["https://openalex.org/I3018083178"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C. Mang","raw_affiliation_strings":["IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I3018083178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076817570","display_name":"Axel Tahmasebimoradi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3018083178","display_name":"Institut de Recherche Technologique SystemX","ror":"https://ror.org/03crmsn52","country_code":"FR","type":"facility","lineage":["https://openalex.org/I3018083178"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Tahmasebi Moradi","raw_affiliation_strings":["IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I3018083178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031368667","display_name":"David Danan","orcid":"https://orcid.org/0000-0003-1586-3979","observed_orcids":["https://orcid.org/0000-0003-1586-3979"]},"institutions":[{"id":"https://openalex.org/I3018083178","display_name":"Institut de Recherche Technologique SystemX","ror":"https://ror.org/03crmsn52","country_code":"FR","type":"facility","lineage":["https://openalex.org/I3018083178"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Danan","raw_affiliation_strings":["IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I3018083178"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039362548","display_name":"Mouadh Yagoubi","orcid":"https://orcid.org/0000-0003-3176-7864","observed_orcids":["https://orcid.org/0000-0003-3176-7864"]},"institutions":[{"id":"https://openalex.org/I3018083178","display_name":"Institut de Recherche Technologique SystemX","ror":"https://ror.org/03crmsn52","country_code":"FR","type":"facility","lineage":["https://openalex.org/I3018083178"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Yagoubi","raw_affiliation_strings":["IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRT SystemX (Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I3018083178"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3018083178"],"apc_list":null,"apc_paid":null,"fwci":1.7287,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84811417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"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":0.9951000213623047,"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":0.9951000213623047,"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":0.004100000020116568,"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/T11490","display_name":"Hydrological Forecasting Using AI","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.7580000162124634},{"id":"https://openalex.org/keywords/hyperparameter-optimization","display_name":"hyperparameter optimization","score":0.9409999847412109},{"id":"https://openalex.org/keywords/partial-differential-equations","display_name":"partial differential equations","score":0.671999990940094},{"id":"https://openalex.org/keywords/physics-informed-neural-networks","display_name":"physics-informed neural networks","score":0.8270000219345093},{"id":"https://openalex.org/keywords/radiative-transfer-equation","display_name":"radiative transfer equation","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.623350203037262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5740559697151184},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5571378469467163},{"id":"https://openalex.org/C105951970","wikidata":"https://www.wikidata.org/wiki/Q1036748","display_name":"Loss function","level":4,"score":0.4764942526817322},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.41714373230934143},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2704440951347351},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0864844024181366},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0641312301158905},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23967/wccm.2024.125","doi":"https://doi.org/10.23967/wccm.2024.125","is_oa":false,"landing_page_url":"https://doi.org/10.23967/wccm.2024.125","pdf_url":null,"source":{"id":"https://openalex.org/S4363606451","display_name":"World Congress on Computational Mechanics (WCCM)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics","raw_type":"proceedings-article"},{"id":"doi:10.23967/c.wccm.2024.125","doi":"https://doi.org/10.23967/c.wccm.2024.125","is_oa":false,"landing_page_url":"https://doi.org/10.23967/c.wccm.2024.125","pdf_url":null,"source":{"id":"https://openalex.org/S4363606451","display_name":"World Congress on Computational Mechanics (WCCM)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04536431v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04536431","pdf_url":"https://hal.science/hal-04536431/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"16th World Congress on Computational Mechanics (WCCM), Jul 2024, Vancouver, Canada","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04536431v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04536431","pdf_url":"https://hal.science/hal-04536431/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"16th World Congress on Computational Mechanics (WCCM), Jul 2024, Vancouver, Canada","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400322294.pdf","grobid_xml":"https://content.openalex.org/works/W4400322294.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3215332512","https://openalex.org/W4313464856","https://openalex.org/W4296407095","https://openalex.org/W4412676984","https://openalex.org/W2179032267","https://openalex.org/W4387336552","https://openalex.org/W4415101721","https://openalex.org/W4412434608","https://openalex.org/W4389781707","https://openalex.org/W4406256023"],"abstract_inverted_index":{"In":[0,38],"machine":[1],"learning":[2],"process,":[3],"hyper":[4,23,177],"parameters":[5,24,178],"are":[6,74],"chosen":[7],"in":[8,28,94,151],"a":[9,26,59,64,82,89,95,162,165,170,181],"way":[10,97],"to":[11,76,153],"decrease":[12],"the":[13,18,21,32,35,41,45,50,99,105,111,155],"prediction":[14],"error":[15,116],"and":[16,144,175,180],"improve":[17],"convergence.":[19],"However,":[20],"optimized":[22],"have":[25],"limit":[27],"terms":[29],"of":[30,34,52,92,157],"enhancing":[31],"performance":[33],"neural":[36,71,129,166],"networks.":[37],"this":[39,120,158],"work,":[40],"datasets":[42,132],"used":[43,75],"for":[44,70,88,186],"numerical":[46,125],"experiments":[47,126],"arise":[48],"from":[49,113],"resolution":[51],"partial":[53],"differential":[54],"equations":[55],"(PDE)":[56],"defined":[57],"on":[58,131,134],"spatial":[60],"domain.":[61],"We":[62],"propose":[63],"dynamic":[65,100,182],"weighted":[66,101,183],"loss":[67,102,107,172,184],"function-based":[68],"approach":[69],"networks":[72,130],"that":[73],"learn":[77],"these":[78],"PDE\u2019s":[79],"solutions.":[80],"This":[81],"two-step":[83],"process:":[84],"first":[85],"we":[86,122,160],"train":[87],"few":[90],"numbers":[91],"epochs":[93],"classical":[96,106,171],"then":[98],"function":[103,108,185],"replaces":[104],"by":[109],"leveraging":[110],"information":[112],"past":[114],"training":[115],"histories.":[117],"To":[118],"validate":[119],"method,":[121],"carry":[123],"out":[124],"with":[127,174],"different":[128,136],"arising":[133],"three":[135],"physics:":[137],"Goldstein":[138],"equation":[139,147],"(Bensalah,":[140],"Joly,":[141],"Mercier,":[142],"2022)":[143],"radiative":[145],"transfer":[146],"(Modest,":[148],"1993).":[149],"Thus,":[150],"order":[152],"demonstrate":[154],"relevance":[156],"approach,":[159],"provide":[161],"comparison":[163],"among":[164],"network":[167],"model":[168],"using":[169],"function,":[173],"without":[176],"optimization,":[179],"both":[187],"versions.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2024-07-06T00:00:00"}