{"id":"https://openalex.org/W3164996764","doi":"https://doi.org/10.1109/tcyb.2021.3079906","title":"Bayesian Pseudoinverse Learners: From Uncertainty to Deterministic Learning","display_name":"Bayesian Pseudoinverse Learners: From Uncertainty to Deterministic Learning","publication_year":2021,"publication_date":"2021-06-03","ids":{"openalex":"https://openalex.org/W3164996764","doi":"https://doi.org/10.1109/tcyb.2021.3079906","mag":"3164996764","pmid":"https://pubmed.ncbi.nlm.nih.gov/34077382"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3079906","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3079906","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5081412949","display_name":"Qian Yin","orcid":"https://orcid.org/0000-0002-0354-5490"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qian Yin","raw_affiliation_strings":["Image Processing and Pattern Recognition Lab, School of Artificial Intelligence, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Image Processing and Pattern Recognition Lab, School of Artificial Intelligence, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021228982","display_name":"Bingxin Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I114234892","display_name":"Beijing Union University","ror":"https://ror.org/01hg31662","country_code":"CN","type":"education","lineage":["https://openalex.org/I114234892"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingxin Xu","raw_affiliation_strings":["Beijing Key Laboratory of Information Service Engineering, Beijing Union University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Information Service Engineering, Beijing Union University, Beijing, China","institution_ids":["https://openalex.org/I114234892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103262909","display_name":"Kaiyan Zhou","orcid":"https://orcid.org/0000-0002-0758-7030"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiyan Zhou","raw_affiliation_strings":["Image Processing and Pattern Recognition Lab, School of Artificial Intelligence, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Image Processing and Pattern Recognition Lab, School of Artificial Intelligence, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020083340","display_name":"Ping Guo","orcid":"https://orcid.org/0000-0002-7122-1084"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Guo","raw_affiliation_strings":["Image Processing and Pattern Recognition Lab, School of Systems Science, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Image Processing and Pattern Recognition Lab, School of Systems Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081412949"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":null,"apc_paid":null,"fwci":0.8398,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78312014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":"11","first_page":"12205","last_page":"12216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9973999857902527,"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/T12676","display_name":"Machine Learning and ELM","score":0.9961000084877014,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9958000183105469,"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/moore\u2013penrose-pseudoinverse","display_name":"Moore\u2013Penrose pseudoinverse","score":0.8323137164115906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6256230473518372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5961992144584656},{"id":"https://openalex.org/keywords/bayesian-network","display_name":"Bayesian network","score":0.5077077150344849},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4658523499965668},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.44260990619659424},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4082578718662262},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38153210282325745},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.3418579697608948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27041080594062805}],"concepts":[{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.8323137164115906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6256230473518372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5961992144584656},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.5077077150344849},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4658523499965668},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.44260990619659424},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4082578718662262},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38153210282325745},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.3418579697608948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27041080594062805},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"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":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","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":"D035501","descriptor_name":"Uncertainty","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D035501","descriptor_name":"Uncertainty","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D035501","descriptor_name":"Uncertainty","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3079906","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3079906","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:34077382","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34077382","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":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G2169308062","display_name":null,"funder_award_id":"2018AAA0100203","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4777390799","display_name":null,"funder_award_id":"U2031136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G685742449","display_name":null,"funder_award_id":"62006020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W16016350","https://openalex.org/W575122527","https://openalex.org/W1494192115","https://openalex.org/W1562206072","https://openalex.org/W1567512734","https://openalex.org/W1607198972","https://openalex.org/W1966489199","https://openalex.org/W2067355741","https://openalex.org/W2095621940","https://openalex.org/W2100384997","https://openalex.org/W2101341561","https://openalex.org/W2111406701","https://openalex.org/W2115979064","https://openalex.org/W2125485651","https://openalex.org/W2140249634","https://openalex.org/W2225156818","https://openalex.org/W2286961399","https://openalex.org/W2407467614","https://openalex.org/W2560247988","https://openalex.org/W2586160710","https://openalex.org/W2594639291","https://openalex.org/W2773643226","https://openalex.org/W2897075588","https://openalex.org/W2899067142","https://openalex.org/W2941315912","https://openalex.org/W2962832827","https://openalex.org/W2963102117","https://openalex.org/W3003262276","https://openalex.org/W3035088764","https://openalex.org/W3105458558","https://openalex.org/W3120919064","https://openalex.org/W4237840503","https://openalex.org/W4362709168","https://openalex.org/W4388297464","https://openalex.org/W6675401909","https://openalex.org/W6677308353","https://openalex.org/W6682648773","https://openalex.org/W6688386640","https://openalex.org/W6922487397"],"related_works":["https://openalex.org/W2377937346","https://openalex.org/W2077909046","https://openalex.org/W1797940506","https://openalex.org/W2357447513","https://openalex.org/W2994086846","https://openalex.org/W2065664861","https://openalex.org/W2378845890","https://openalex.org/W4385273312","https://openalex.org/W2350269050","https://openalex.org/W2032268867"],"abstract_inverted_index":{"Pseudo-inverse":[0],"learners":[1],"(PILs)":[2],"are":[3,121],"a":[4,61],"kind":[5],"of":[6,75,88],"feedforward":[7],"neural":[8],"network":[9],"trained":[10],"with":[11],"the":[12,37,50,67,70,78,86,89,115,119],"pseudoinverse":[13],"learning":[14,43,63,80,91,99,105,113],"algorithm,":[15],"which":[16,45,101],"can":[17,102],"be":[18],"traced":[19],"back":[20],"to":[21,60],"1995":[22],"originally.":[23],"PIL":[24,56],"is":[25,36,46,57,74,77],"an":[26,96],"approach":[27],"for":[28],"nongradient":[29],"descent":[30],"learning,":[31],"and":[32,41,118],"its":[33],"main":[34],"advantage":[35],"lower":[38],"computational":[39],"cost":[40],"fast":[42],"procedure,":[44],"especially":[47],"relevant":[48],"in":[49,66,124],"edge":[51],"computing":[52],"research":[53],"field.":[54],"However,":[55],"mostly":[58],"applied":[59],"deterministic":[62,107],"problem,":[64],"while":[65],"real":[68],"world,":[69],"greatest":[71],"case":[72],"that":[73],"concern":[76],"uncertainty":[79,104],"problem.":[81],"In":[82],"this":[83,111,125],"work,":[84],"under":[85],"framework":[87,114],"synergetic":[90,98],"system":[92],"(SLS),":[93],"we":[94],"introduce":[95],"approximated":[97],"scheme,":[100],"transform":[103],"into":[106],"learning.":[108],"We":[109],"call":[110],"new":[112],"Bayesian":[116],"PIL,":[117],"advantages":[120],"also":[122],"demonstrated":[123],"work.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
