{"id":"https://openalex.org/W3090811938","doi":"https://doi.org/10.1109/ijcnn48605.2020.9207214","title":"Bayesian Neural Networks Uncertainty Quantification with Cubature Rules","display_name":"Bayesian Neural Networks Uncertainty Quantification with Cubature Rules","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3090811938","doi":"https://doi.org/10.1109/ijcnn48605.2020.9207214","mag":"3090811938"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn48605.2020.9207214","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn48605.2020.9207214","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100395956","display_name":"Peng Wang","orcid":"https://orcid.org/0000-0001-9895-394X"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peng Wang","raw_affiliation_strings":["Automatic Control & Systems Engineering Dept., The University of Sheffield"],"affiliations":[{"raw_affiliation_string":"Automatic Control & Systems Engineering Dept., The University of Sheffield","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041401460","display_name":"Nidhal Bouaynaya","orcid":"https://orcid.org/0000-0002-8833-8414"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nidhal C. Bouaynaya","raw_affiliation_strings":["Information and Navigation College, Air Force Engineering University"],"affiliations":[{"raw_affiliation_string":"Information and Navigation College, Air Force Engineering University","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006505402","display_name":"Lyudmila Mihaylova","orcid":"https://orcid.org/0000-0001-5856-2223"},"institutions":[{"id":"https://openalex.org/I4210097237","display_name":"ETC International","ror":"https://ror.org/00d8t8t88","country_code":"NL","type":"nonprofit","lineage":["https://openalex.org/I4210097237"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Lyudmila Mihaylova","raw_affiliation_strings":["The 32nd Research Institute of CETC"],"affiliations":[{"raw_affiliation_string":"The 32nd Research Institute of CETC","institution_ids":["https://openalex.org/I4210097237"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083722247","display_name":"Jikai Wang","orcid":"https://orcid.org/0000-0003-4340-311X"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jikai Wang","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039723064","display_name":"Qibin Zhang","orcid":"https://orcid.org/0000-0002-6135-8706"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Qibin Zhang","raw_affiliation_strings":["Automatic Control & Systems Engineering Dept., The University of Sheffield"],"affiliations":[{"raw_affiliation_string":"Automatic Control & Systems Engineering Dept., The University of Sheffield","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023116726","display_name":"Renke He","orcid":null},"institutions":[{"id":"https://openalex.org/I44265643","display_name":"Rowan University","ror":"https://ror.org/049v69k10","country_code":"US","type":"education","lineage":["https://openalex.org/I44265643"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Renke He","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Rowan University"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rowan University","institution_ids":["https://openalex.org/I44265643"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100395956"],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":null,"apc_paid":null,"fwci":0.8924,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74501087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9980000257492065,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9962999820709229,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7678288221359253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.689433217048645},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6106659173965454},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5858781337738037},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.5583925843238831},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.47562673687934875},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45456814765930176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4527079463005066},{"id":"https://openalex.org/keywords/bayesian-network","display_name":"Bayesian network","score":0.4335169792175293},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.41662952303886414},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3430876135826111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16086941957473755}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7678288221359253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.689433217048645},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6106659173965454},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5858781337738037},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5583925843238831},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.47562673687934875},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45456814765930176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4527079463005066},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.4335169792175293},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.41662952303886414},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3430876135826111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16086941957473755},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ijcnn48605.2020.9207214","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn48605.2020.9207214","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:160037","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Proceedings Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G2141436875","display_name":null,"funder_award_id":"EP/T013265/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W582134693","https://openalex.org/W1567512734","https://openalex.org/W1734615179","https://openalex.org/W1965555277","https://openalex.org/W2000721204","https://openalex.org/W2027197837","https://openalex.org/W2054091988","https://openalex.org/W2063086479","https://openalex.org/W2097117768","https://openalex.org/W2149991584","https://openalex.org/W2152917223","https://openalex.org/W2163605009","https://openalex.org/W2225156818","https://openalex.org/W2766678531","https://openalex.org/W2785626633","https://openalex.org/W2884604806","https://openalex.org/W2902865840","https://openalex.org/W2907020378","https://openalex.org/W2911013261","https://openalex.org/W2912080346","https://openalex.org/W2919115771","https://openalex.org/W2949499893","https://openalex.org/W2950117601","https://openalex.org/W2964052793","https://openalex.org/W2964059111","https://openalex.org/W2968052940","https://openalex.org/W2991229825","https://openalex.org/W3011097439","https://openalex.org/W3101380508","https://openalex.org/W4294205985","https://openalex.org/W6617145748","https://openalex.org/W6682068542","https://openalex.org/W6684191040","https://openalex.org/W6745256532","https://openalex.org/W6757412419","https://openalex.org/W6758230563","https://openalex.org/W6774910700","https://openalex.org/W6842469858"],"related_works":["https://openalex.org/W2407375987","https://openalex.org/W2505726097","https://openalex.org/W2950975704","https://openalex.org/W3049691116","https://openalex.org/W2010643158","https://openalex.org/W2106867672","https://openalex.org/W4310268968","https://openalex.org/W3081214562","https://openalex.org/W2753713401","https://openalex.org/W2053745677"],"abstract_inverted_index":{"Bayesian":[0,45,78],"neural":[1,24,46,62,79,120],"networks":[2,25,47,121],"are":[3],"powerful":[4],"inference":[5],"methods":[6],"by":[7,96],"accounting":[8],"for":[9,29,41],"randomness":[10],"in":[11,61],"the":[12,15,21,85,90,94,101,108],"data":[13],"and":[14,35,65],"network":[16,63,102],"model.":[17],"Uncertainty":[18],"quantification":[19,58,71,117],"at":[20],"output":[22],"of":[23,44,59,77,89,93,119],"is":[26],"critical,":[27],"especially":[28],"applications":[30],"such":[31],"as":[32],"autonomous":[33],"driving":[34],"hazardous":[36],"weather":[37],"forecasting.":[38],"However,":[39],"approaches":[40],"theoretical":[42],"analysis":[43],"remain":[48],"limited.":[49],"This":[50],"paper":[51],"makes":[52],"a":[53,67,123],"step":[54],"forward":[55],"towards":[56],"mathematical":[57],"uncertainty":[60,70,116],"models":[64],"proposes":[66],"cubature-rule-based":[68],"computationally-efficient":[69],"approach":[72,83,110],"that":[73,107],"captures":[74],"layer-wise":[75,115],"uncertainties":[76],"networks.":[80],"The":[81],"proposed":[82,109],"approximates":[84],"first":[86],"two":[87],"moments":[88],"posterior":[91],"distribution":[92],"parameters":[95],"propagating":[97],"cubature":[98],"points":[99],"across":[100],"nonlinearities.":[103],"Simulation":[104],"results":[105,118],"show":[106],"can":[111],"achieve":[112],"more":[113],"diverse":[114],"with":[122],"fast":[124],"convergence":[125],"rate.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}