{"id":"https://openalex.org/W1984568614","doi":"https://doi.org/10.1103/physrevlett.86.4741","title":"Solving N -Body Problems with Neural Networks","display_name":"Solving N -Body Problems with Neural Networks","publication_year":2001,"publication_date":"2001-05-21","ids":{"openalex":"https://openalex.org/W1984568614","doi":"https://doi.org/10.1103/physrevlett.86.4741","mag":"1984568614","pmid":"https://pubmed.ncbi.nlm.nih.gov/11384337"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.86.4741","doi":"https://doi.org/10.1103/physrevlett.86.4741","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.86.4741","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.17877/de290r-12309","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038540911","display_name":"Marcelino Quito","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I87074743","display_name":"University of the Philippines Diliman","ror":"https://ror.org/03tbh6y23","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934","https://openalex.org/I87074743"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Marcelino Quito","raw_affiliation_strings":["National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines","institution_ids":["https://openalex.org/I87074743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019471916","display_name":"Christopher Pineda Monterola","orcid":"https://orcid.org/0000-0003-2094-1433","observed_orcids":["https://orcid.org/0000-0003-2094-1433"]},"institutions":[{"id":"https://openalex.org/I87074743","display_name":"University of the Philippines Diliman","ror":"https://ror.org/03tbh6y23","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934","https://openalex.org/I87074743"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Christopher Monterola","raw_affiliation_strings":["National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines","institution_ids":["https://openalex.org/I87074743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088665275","display_name":"Caesar A. Saloma","orcid":"https://orcid.org/0000-0001-7503-7711","observed_orcids":["https://orcid.org/0000-0001-7503-7711"]},"institutions":[{"id":"https://openalex.org/I87074743","display_name":"University of the Philippines Diliman","ror":"https://ror.org/03tbh6y23","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934","https://openalex.org/I87074743"]}],"countries":["PH"],"is_corresponding":true,"raw_author_name":"Caesar Saloma","raw_affiliation_strings":["National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines","institution_ids":["https://openalex.org/I87074743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088665275"],"corresponding_institution_ids":["https://openalex.org/I87074743"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":0.9495,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.74484346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"86","issue":"21","first_page":"4741","last_page":"4744"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10026","display_name":"Galaxies: Formation, Evolution, Phenomena","score":0.7378000020980835,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10026","display_name":"Galaxies: Formation, Evolution, Phenomena","score":0.7378000020980835,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.11509999632835388,"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":0.04349999874830246,"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/n-body-problem","display_name":"N-body problem","score":0.9959999918937683},{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.859000027179718},{"id":"https://openalex.org/keywords/self-gravitating-systems","display_name":"self-gravitating systems","score":0.9810000061988831},{"id":"https://openalex.org/keywords/dark-matter-distribution","display_name":"dark matter distribution","score":0.8159999847412109},{"id":"https://openalex.org/keywords/spiral-galaxy-formation","display_name":"spiral galaxy formation","score":0.9520000219345093},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.5490000247955322}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5259278416633606},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5009365081787109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46445155143737793},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.4638879895210266},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.42488405108451843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4125079810619354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35465019941329956},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3301066756248474},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.28244197368621826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21450483798980713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12920963764190674},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevlett.86.4741","doi":"https://doi.org/10.1103/physrevlett.86.4741","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.86.4741","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},{"id":"pmid:11384337","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11384337","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review letters","raw_type":"Journal Article"},{"id":"pmh:oai:eldorado.tu-dortmund.de:2003/18967","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2003/18967","pdf_url":null,"source":{"id":"https://openalex.org/S4306400811","display_name":"Technische Universit\u00e4t Dortmund Eldorado (Technische Universit\u00e4t Dortmund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210148506","host_organization_name":"Erich-Brost-Institut","host_organization_lineage":["https://openalex.org/I4210148506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"doi:10.17877/de290r-12309","doi":"https://doi.org/10.17877/de290r-12309","is_oa":true,"landing_page_url":"https://doi.org/10.17877/de290r-12309","pdf_url":null,"source":{"id":"https://openalex.org/S4306400811","display_name":"Technische Universit\u00e4t Dortmund Eldorado (Technische Universit\u00e4t Dortmund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210148506","host_organization_name":"Erich-Brost-Institut","host_organization_lineage":["https://openalex.org/I4210148506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.17877/de290r-12309","doi":"https://doi.org/10.17877/de290r-12309","is_oa":true,"landing_page_url":"https://doi.org/10.17877/de290r-12309","pdf_url":null,"source":{"id":"https://openalex.org/S4306400811","display_name":"Technische Universit\u00e4t Dortmund Eldorado (Technische Universit\u00e4t Dortmund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210148506","host_organization_name":"Erich-Brost-Institut","host_organization_lineage":["https://openalex.org/I4210148506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1483395066","https://openalex.org/W1629955352","https://openalex.org/W1902592036","https://openalex.org/W1970692312","https://openalex.org/W1989518597","https://openalex.org/W1993951308","https://openalex.org/W2005339187","https://openalex.org/W2013775946","https://openalex.org/W2013943764","https://openalex.org/W2014822585","https://openalex.org/W2054460506","https://openalex.org/W2057211607","https://openalex.org/W2121198253","https://openalex.org/W2124776405","https://openalex.org/W2137665668","https://openalex.org/W2315442495","https://openalex.org/W4240195776","https://openalex.org/W4248329911","https://openalex.org/W4300914388"],"related_works":["https://openalex.org/W7052753729","https://openalex.org/W3016007894","https://openalex.org/W7113450230","https://openalex.org/W4388184698","https://openalex.org/W3216316707","https://openalex.org/W3107051759","https://openalex.org/W1483395066","https://openalex.org/W3031707012","https://openalex.org/W1548200072","https://openalex.org/W7024745849"],"abstract_inverted_index":{"We":[0],"show":[1],"a":[2,20,38,66],"new":[3,79],"approach":[4,64],"for":[5,23,44],"solving":[6],"the":[7,24,46,82,85],"N-body":[8,89],"problems":[9],"based":[10],"on":[11],"neural":[12],"networks.":[13],"Without":[14],"loss":[15],"of":[16,27,40,49,60,84,88],"generality,":[17],"we":[18],"derived":[19],"network":[21],"solution":[22,67],"time-dependent":[25],"positions":[26],"N":[28],"bodies":[29],"in":[30,53,81],"self-gravitating":[31],"systems.":[32,90],"The":[33],"simulation":[34],"is":[35,69],"limited":[36],"to":[37,78],"system":[39],"collisionless":[41],"disks-a":[42],"case":[43],"determining":[45],"spatial":[47],"distributions":[48],"dark":[50],"matter":[51],"and":[52],"reproducing":[54],"global":[55],"effects":[56],"such":[57],"as":[58],"formation":[59],"spiral":[61],"galaxies.":[62],"Our":[63],"yields":[65],"that":[68,75],"analytic":[70],"with":[71],"time-reversed":[72],"path-tracing":[73],"capabilities":[74],"could":[76],"lead":[77],"findings":[80],"study":[83],"collective":[86],"behavior":[87]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}
