{"id":"https://openalex.org/W4400135161","doi":"https://doi.org/10.1007/978-3-031-63759-9_38","title":"Accelerating Training of\u00a0Physics Informed Neural Network for\u00a01D PDEs with\u00a0Hierarchical Matrices","display_name":"Accelerating Training of\u00a0Physics Informed Neural Network for\u00a01D PDEs with\u00a0Hierarchical Matrices","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400135161","doi":"https://doi.org/10.1007/978-3-031-63759-9_38"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-63759-9_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-63759-9_38","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://bird.bcamath.org/bitstream/20.500.11824/1934/1/main.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050970447","display_name":"Mateusz Dobija","orcid":"https://orcid.org/0000-0003-4557-3534"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mateusz Dobija","raw_affiliation_strings":["Doctoral School of Exact and Natural Sciences, Jagiellonian University, Krak\u00f3w, Poland","Jagiellonian University, Krakow, Poland"],"raw_orcid":"https://orcid.org/0000-0003-4557-3534","affiliations":[{"raw_affiliation_string":"Doctoral School of Exact and Natural Sciences, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Jagiellonian University, Krakow, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021667268","display_name":"Anna Paszy\u0144ska","orcid":"https://orcid.org/0000-0002-0716-0619"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Anna Paszy\u0144ska","raw_affiliation_strings":["AGH University of Krakow, Krak\u00f3w, Poland","Jagiellonian University, Krakow, Poland"],"raw_orcid":"https://orcid.org/0000-0002-0716-0619","affiliations":[{"raw_affiliation_string":"AGH University of Krakow, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019","https://openalex.org/I126596746"]},{"raw_affiliation_string":"Jagiellonian University, Krakow, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004801449","display_name":"Carlos Uriarte","orcid":"https://orcid.org/0000-0002-0155-3091"},"institutions":[{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Uriarte","raw_affiliation_strings":["Basque Center for Applied Mathematics, Bilbao, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0155-3091","affiliations":[{"raw_affiliation_string":"Basque Center for Applied Mathematics, Bilbao, Spain","institution_ids":["https://openalex.org/I2802176441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075191779","display_name":"Maciej Paszy\u0144ski","orcid":"https://orcid.org/0000-0001-7766-6052"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Maciej Paszy\u0144ski","raw_affiliation_strings":["AGH University of Krakow, Krak\u00f3w, Poland","AGH University of Science and Technology, Krakow, Poland"],"raw_orcid":"https://orcid.org/0000-0001-7766-6052","affiliations":[{"raw_affiliation_string":"AGH University of Krakow, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019","https://openalex.org/I126596746"]},{"raw_affiliation_string":"AGH University of Science and Technology, Krakow, Poland","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021667268"],"corresponding_institution_ids":["https://openalex.org/I126596746","https://openalex.org/I686019"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2782115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"352","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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":1.0,"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":0.9912999868392944,"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/T11222","display_name":"Magnetic Properties and Applications","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7024778127670288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6417107582092285},{"id":"https://openalex.org/keywords/training","display_name":"Training (meteorology)","score":0.5919987559318542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.470980167388916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20444458723068237}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7024778127670288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6417107582092285},{"id":"https://openalex.org/C2777211547","wikidata":"https://www.wikidata.org/wiki/Q17141490","display_name":"Training (meteorology)","level":2,"score":0.5919987559318542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.470980167388916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20444458723068237},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-63759-9_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-63759-9_38","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:bird.bcamath.org:20.500.11824/1934","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/1934","pdf_url":"https://bird.bcamath.org/bitstream/20.500.11824/1934/1/main.pdf","source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:ruj.uj.edu.pl:item/544136","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/handle/item/544136","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:bird.bcamath.org:20.500.11824/1934","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/1934","pdf_url":"https://bird.bcamath.org/bitstream/20.500.11824/1934/1/main.pdf","source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400135161.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W232339404","https://openalex.org/W2018419001","https://openalex.org/W2038626747","https://openalex.org/W2298381282","https://openalex.org/W2534240011","https://openalex.org/W2899283552","https://openalex.org/W2948230027","https://openalex.org/W2951392159","https://openalex.org/W2952842449","https://openalex.org/W2973886134","https://openalex.org/W2978281981","https://openalex.org/W2993158195","https://openalex.org/W2997814214","https://openalex.org/W2998366519","https://openalex.org/W3099057226","https://openalex.org/W3128157635","https://openalex.org/W3176116059","https://openalex.org/W3200372603","https://openalex.org/W4220717841","https://openalex.org/W4226244456","https://openalex.org/W4382406482","https://openalex.org/W4399555263"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W230091440","https://openalex.org/W2390279801","https://openalex.org/W2233261550","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2810751659","https://openalex.org/W258997015","https://openalex.org/W2376932109"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}