{"id":"https://openalex.org/W4403295841","doi":"https://doi.org/10.1371/journal.pcbi.1012414","title":"Bayesian polynomial neural networks and polynomial neural ordinary differential equations","display_name":"Bayesian polynomial neural networks and polynomial neural ordinary differential equations","publication_year":2024,"publication_date":"2024-10-10","ids":{"openalex":"https://openalex.org/W4403295841","doi":"https://doi.org/10.1371/journal.pcbi.1012414","pmid":"https://pubmed.ncbi.nlm.nih.gov/39388392"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1012414","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1012414","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1012414&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1012414&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052269663","display_name":"Colby Fronk","orcid":"https://orcid.org/0000-0002-5943-1257"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Colby Fronk","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Santa Barbara, California; United States of America","United States of America","Department of Chemical Engineering, University of California, Santa Barbara, California"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, California; United States of America","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"United States of America","institution_ids":[]},{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Santa Barbara, California","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114257332","display_name":"Jae-Woong Yun","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jaewoong Yun","raw_affiliation_strings":["Department of Geography, University of California, Santa Barbara, California; United States of America","Department of Statistics and Applied Probability, University of California, Santa Barbara, California; United States of America","United States of America","Department of Statistics and Applied Probability, University of California, Santa Barbara, California","Department of Geography, University of California, Santa Barbara, California"],"affiliations":[{"raw_affiliation_string":"Department of Geography, University of California, Santa Barbara, California; United States of America","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Statistics and Applied Probability, University of California, Santa Barbara, California; United States of America","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"United States of America","institution_ids":[]},{"raw_affiliation_string":"Department of Statistics and Applied Probability, University of California, Santa Barbara, California","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Geography, University of California, Santa Barbara, California","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047975816","display_name":"Prashant Singh","orcid":"https://orcid.org/0000-0002-3123-3478"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I2800139495","display_name":"Science for Life Laboratory","ror":"https://ror.org/04ev03g22","country_code":"SE","type":"facility","lineage":["https://openalex.org/I2800139495"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Prashant Singh","raw_affiliation_strings":["Science for Life Laboratory, Department of Information Technology, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Science for Life Laboratory, Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I2800139495","https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021640058","display_name":"Linda Petzold","orcid":"https://orcid.org/0000-0001-6251-6078"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Linda Petzold","raw_affiliation_strings":["Department of Computer Science, University of California, Santa Barbara, California; United States of America","Department of Mechanical Engineering, University of California, Santa Barbara, California; United States of America","Department of Computer Science, University of California, Santa Barbara, California","Department of Mechanical Engineering, University of California, Santa Barbara, California","United States of America"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Santa Barbara, California; United States of America","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, California; United States of America","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Computer Science, University of California, Santa Barbara, California","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, California","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"United States of America","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021640058","https://openalex.org/A5047975816","https://openalex.org/A5052269663","https://openalex.org/A5114257332"],"corresponding_institution_ids":["https://openalex.org/I123387679","https://openalex.org/I154570441","https://openalex.org/I2800139495"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":2.2238,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88115219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"10","first_page":"e1012414","last_page":"e1012414"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9778000116348267,"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/applied-mathematics","display_name":"Applied mathematics","score":0.5947147011756897},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.592242419719696},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5533732771873474},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.540192723274231},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4693542420864105},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4598354697227478},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4526498019695282},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.4400537610054016},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.4367600083351135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43529802560806274},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.43488430976867676},{"id":"https://openalex.org/keywords/laplaces-method","display_name":"Laplace's method","score":0.42471301555633545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38145288825035095},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3761427700519562},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3731703758239746},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3723610043525696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09807616472244263}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5947147011756897},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.592242419719696},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5533732771873474},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.540192723274231},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4693542420864105},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4598354697227478},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4526498019695282},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.4400537610054016},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.4367600083351135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43529802560806274},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.43488430976867676},{"id":"https://openalex.org/C22243797","wikidata":"https://www.wikidata.org/wiki/Q2058297","display_name":"Laplace's method","level":3,"score":0.42471301555633545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38145288825035095},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3761427700519562},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3731703758239746},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3723610043525696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09807616472244263}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1371/journal.pcbi.1012414","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1012414","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1012414&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:39388392","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39388392","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,"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":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:escholarship.org:ark:/13030/qt89b5699n","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/89b5699n","pdf_url":"https://escholarship.org/content/qt89b5699n/qt89b5699n.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLOS Computational Biology, vol 20, iss 10","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:11476690","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11476690","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11476690/pdf/pcbi.1012414.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"},{"id":"pmh:oai:DiVA.org:uu-541649","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-541649","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"text"},{"id":"pmh:oai:RePEc:plo:pcbi00:1012414","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1012414","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1012414","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1012414","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1012414&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1372945740","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320322015","funder_display_name":"University of Toronto"},{"id":"https://openalex.org/G1426318481","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G1624822810","display_name":null,"funder_award_id":"1730158","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1798702661","display_name":null,"funder_award_id":"MRSEC","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2232042528","display_name":null,"funder_award_id":"2308708","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G2300736770","display_name":null,"funder_award_id":"(CSC)","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G2760720504","display_name":null,"funder_award_id":"CNS-1725797","funder_id":"https://openalex.org/F4320332500","funder_display_name":"University of California, Santa Barbara"},{"id":"https://openalex.org/G3134142735","display_name":null,"funder_award_id":"2308708","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3143515650","display_name":null,"funder_award_id":"DMR 2308708","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G3240832783","display_name":null,"funder_award_id":"2-R01-EB014877-04A1","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"},{"id":"https://openalex.org/G3349485200","display_name":null,"funder_award_id":"CNS-1725797","funder_id":"https://openalex.org/F4320333422","funder_display_name":"Materials Research Science and Engineering Center, Harvard University"},{"id":"https://openalex.org/G3400352658","display_name":null,"funder_award_id":"CNS-1725797","funder_id":"https://openalex.org/F4320337965","funder_display_name":"California NanoSystems Institute"},{"id":"https://openalex.org/G3725287634","display_name":"Towards Deploying a Science-Driven Regional Interoperable Science DMZ","funder_award_id":"1540112","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4132985236","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G502606643","display_name":null,"funder_award_id":"1826967","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5665456810","display_name":null,"funder_award_id":"2100237","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6266480177","display_name":null,"funder_award_id":"MRSEC","funder_id":"https://openalex.org/F4320332500","funder_display_name":"University of California, Santa Barbara"},{"id":"https://openalex.org/G6571641159","display_name":null,"funder_award_id":"230870","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6600752974","display_name":null,"funder_award_id":"ACI-1541349","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6608832790","display_name":null,"funder_award_id":"CNS-2120019","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6755165505","display_name":null,"funder_award_id":"award","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7126320269","display_name":null,"funder_award_id":"CNS-1725797","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7278722489","display_name":"CC*DNI DIBBs: The Pacific Research Platform","funder_award_id":"1541349","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7303345115","display_name":null,"funder_award_id":"DMR 2308708","funder_id":"https://openalex.org/F4320333422","funder_display_name":"Materials Research Science and Engineering Center, Harvard University"},{"id":"https://openalex.org/G7765571271","display_name":null,"funder_award_id":"MRSEC","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G7843972043","display_name":null,"funder_award_id":"OAC-2112167","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G803955515","display_name":null,"funder_award_id":"DMR 2308708","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8695374526","display_name":null,"funder_award_id":"1725797","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8814034516","display_name":null,"funder_award_id":"DMR 2308708","funder_id":"https://openalex.org/F4320332500","funder_display_name":"University of California, Santa Barbara"},{"id":"https://openalex.org/G8847388320","display_name":null,"funder_award_id":"CNS-2100237","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321008","display_name":"Universiteit van Amsterdam","ror":"https://ror.org/04dkp9463"},{"id":"https://openalex.org/F4320321394","display_name":"Aalto-Yliopisto","ror":"https://ror.org/020hwjq30"},{"id":"https://openalex.org/F4320322015","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320324900","display_name":"Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn","ror":"https://ror.org/041nas322"},{"id":"https://openalex.org/F4320332500","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463"},{"id":"https://openalex.org/F4320332603","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48"},{"id":"https://openalex.org/F4320333422","display_name":"Materials Research Science and Engineering Center, Harvard University","ror":null},{"id":"https://openalex.org/F4320333677","display_name":"Office of the President, University of California","ror":null},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"},{"id":"https://openalex.org/F4320337965","display_name":"California NanoSystems Institute","ror":"https://ror.org/00q7fqf35"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4403295841.pdf"},"referenced_works_count":106,"referenced_works":["https://openalex.org/W122965473","https://openalex.org/W611205441","https://openalex.org/W658512522","https://openalex.org/W1488435683","https://openalex.org/W1502001434","https://openalex.org/W1558736232","https://openalex.org/W1567012231","https://openalex.org/W1597944220","https://openalex.org/W1734689372","https://openalex.org/W1856502440","https://openalex.org/W1971375063","https://openalex.org/W1980230793","https://openalex.org/W1985669309","https://openalex.org/W2000474946","https://openalex.org/W2027980106","https://openalex.org/W2046588282","https://openalex.org/W2057648840","https://openalex.org/W2059448777","https://openalex.org/W2060759080","https://openalex.org/W2061765181","https://openalex.org/W2062978452","https://openalex.org/W2077305791","https://openalex.org/W2083402998","https://openalex.org/W2095654324","https://openalex.org/W2097443486","https://openalex.org/W2101234009","https://openalex.org/W2108207895","https://openalex.org/W2129728285","https://openalex.org/W2136796925","https://openalex.org/W2137983211","https://openalex.org/W2138309709","https://openalex.org/W2141394518","https://openalex.org/W2144144709","https://openalex.org/W2148191488","https://openalex.org/W2157519031","https://openalex.org/W2239232218","https://openalex.org/W2402945115","https://openalex.org/W2417863416","https://openalex.org/W2479071993","https://openalex.org/W2480512873","https://openalex.org/W2485535339","https://openalex.org/W2486538520","https://openalex.org/W2525748878","https://openalex.org/W2560264276","https://openalex.org/W2565830380","https://openalex.org/W2605147767","https://openalex.org/W2745110207","https://openalex.org/W2899283552","https://openalex.org/W2905043775","https://openalex.org/W2946725528","https://openalex.org/W2951191580","https://openalex.org/W2963755523","https://openalex.org/W2963977107","https://openalex.org/W2964145209","https://openalex.org/W2971278153","https://openalex.org/W2996029397","https://openalex.org/W2999571325","https://openalex.org/W3003257820","https://openalex.org/W3007609684","https://openalex.org/W3014869516","https://openalex.org/W3025713978","https://openalex.org/W3026988375","https://openalex.org/W3035865126","https://openalex.org/W3043426275","https://openalex.org/W3044705751","https://openalex.org/W3082465854","https://openalex.org/W3092527036","https://openalex.org/W3092549130","https://openalex.org/W3103145119","https://openalex.org/W3113130305","https://openalex.org/W3125301116","https://openalex.org/W3132893966","https://openalex.org/W3160246678","https://openalex.org/W3160886682","https://openalex.org/W3180233352","https://openalex.org/W3182302426","https://openalex.org/W3201374602","https://openalex.org/W4211231172","https://openalex.org/W4213062769","https://openalex.org/W4220717841","https://openalex.org/W4221161478","https://openalex.org/W4235667863","https://openalex.org/W4240844614","https://openalex.org/W4246311433","https://openalex.org/W4247080625","https://openalex.org/W4247539597","https://openalex.org/W4248681815","https://openalex.org/W4250676302","https://openalex.org/W4287553514","https://openalex.org/W4288039037","https://openalex.org/W4291439952","https://openalex.org/W4353034368","https://openalex.org/W4361793154","https://openalex.org/W4362579742","https://openalex.org/W4381250521","https://openalex.org/W4386090370","https://openalex.org/W4386825251","https://openalex.org/W4394649613","https://openalex.org/W4399071506","https://openalex.org/W6656727730","https://openalex.org/W6675354045","https://openalex.org/W6752307458","https://openalex.org/W6762981976","https://openalex.org/W6779577340","https://openalex.org/W6801550197","https://openalex.org/W7074616695"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W2996841952","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236"],"abstract_inverted_index":{"Symbolic":[0],"regression":[1],"with":[2],"polynomial":[3,7,105],"neural":[4,8,100,106],"networks":[5,101],"and":[6,16,25,38,52,69],"ordinary":[9],"differential":[10],"equations":[11],"(ODEs)":[12],"are":[13,39],"two":[14],"recent":[15],"powerful":[17],"approaches":[18],"for":[19,34,83],"equation":[20],"recovery":[21],"of":[22,86,98],"many":[23],"science":[24],"engineering":[26],"problems.":[27,87],"However,":[28],"these":[29],"methods":[30],"provide":[31],"point":[32],"estimates":[33],"the":[35,54,59,75,80,95,104],"model":[36],"parameters":[37],"currently":[40],"unable":[41],"to":[42,78,94,102],"accommodate":[43],"noisy":[44],"data.":[45],"We":[46,72],"address":[47],"this":[48,84],"challenge":[49],"by":[50],"developing":[51],"validating":[53],"following":[55],"Bayesian":[56],"inference":[57],"methods:":[58],"Laplace":[60,76],"approximation,":[61],"Markov":[62],"Chain":[63],"Monte":[64],"Carlo":[65],"(MCMC)":[66],"sampling":[67],"methods,":[68],"variational":[70],"inference.":[71],"have":[73],"found":[74],"approximation":[77],"be":[79,91],"best":[81],"method":[82],"class":[85,97],"Our":[88],"work":[89],"can":[90],"easily":[92],"extended":[93],"broader":[96],"symbolic":[99],"which":[103],"network":[107],"belongs.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}