{"id":"https://openalex.org/W2910723281","doi":"https://doi.org/10.1109/tnnls.2018.2889072","title":"Learning Algorithm for Boltzmann Machines With Additive Weight and Bias Noise","display_name":"Learning Algorithm for Boltzmann Machines With Additive Weight and Bias Noise","publication_year":2019,"publication_date":"2019-01-18","ids":{"openalex":"https://openalex.org/W2910723281","doi":"https://doi.org/10.1109/tnnls.2018.2889072","mag":"2910723281","pmid":"https://pubmed.ncbi.nlm.nih.gov/30668482"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2018.2889072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2889072","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","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/A5043836511","display_name":"John Sum","orcid":"https://orcid.org/0000-0002-6965-4219"},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"John Sum","raw_affiliation_strings":["Institute of Technology Management, National Chung Hsing University, Taichung, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-6965-4219","affiliations":[{"raw_affiliation_string":"Institute of Technology Management, National Chung Hsing University, Taichung, Taiwan","institution_ids":["https://openalex.org/I162838928"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056482307","display_name":"Chi-Sing Leung","orcid":"https://orcid.org/0000-0003-0962-6723"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chi Sing Leung","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-0962-6723","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3015,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85115816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"30","issue":"10","first_page":"3200","last_page":"3204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9984999895095825,"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":0.9984999895095825,"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":0.996399998664856,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.7874836921691895},{"id":"https://openalex.org/keywords/boltzmann-machine","display_name":"Boltzmann machine","score":0.6234252452850342},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6061344146728516},{"id":"https://openalex.org/keywords/boltzmann-constant","display_name":"Boltzmann constant","score":0.5492218136787415},{"id":"https://openalex.org/keywords/restricted-boltzmann-machine","display_name":"Restricted Boltzmann machine","score":0.5289250612258911},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4936009645462036},{"id":"https://openalex.org/keywords/online-machine-learning","display_name":"Online machine learning","score":0.48054391145706177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4682387411594391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36825084686279297},{"id":"https://openalex.org/keywords/unsupervised-learning","display_name":"Unsupervised learning","score":0.3448914885520935},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3237884044647217},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.2285880446434021},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1678861379623413},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07260331511497498}],"concepts":[{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.7874836921691895},{"id":"https://openalex.org/C192576344","wikidata":"https://www.wikidata.org/wiki/Q194706","display_name":"Boltzmann machine","level":3,"score":0.6234252452850342},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6061344146728516},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.5492218136787415},{"id":"https://openalex.org/C199354608","wikidata":"https://www.wikidata.org/wiki/Q7316287","display_name":"Restricted Boltzmann machine","level":3,"score":0.5289250612258911},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4936009645462036},{"id":"https://openalex.org/C115903097","wikidata":"https://www.wikidata.org/wiki/Q7094097","display_name":"Online machine learning","level":3,"score":0.48054391145706177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4682387411594391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36825084686279297},{"id":"https://openalex.org/C8038995","wikidata":"https://www.wikidata.org/wiki/Q1152135","display_name":"Unsupervised learning","level":2,"score":0.3448914885520935},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3237884044647217},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.2285880446434021},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1678861379623413},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07260331511497498},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2018.2889072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2889072","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:30668482","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30668482","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 neural networks and learning systems","raw_type":null},{"id":"pmh:oai:ir.lib.nchu.edu.tw:11455/101084","is_oa":false,"landing_page_url":"http://hdl.handle.net/11455/101084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4421644161","display_name":null,"funder_award_id":"105-2221-E-005-065-MY2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W44815768","https://openalex.org/W1547224907","https://openalex.org/W1813659000","https://openalex.org/W1964175594","https://openalex.org/W1964929969","https://openalex.org/W1994589723","https://openalex.org/W2003464224","https://openalex.org/W2035570353","https://openalex.org/W2042492924","https://openalex.org/W2057853719","https://openalex.org/W2074623298","https://openalex.org/W2084163528","https://openalex.org/W2086192262","https://openalex.org/W2100495367","https://openalex.org/W2111406701","https://openalex.org/W2112882360","https://openalex.org/W2116064496","https://openalex.org/W2123422798","https://openalex.org/W2124136621","https://openalex.org/W2128084896","https://openalex.org/W2130313186","https://openalex.org/W2136922672","https://openalex.org/W2145249131","https://openalex.org/W2150631667","https://openalex.org/W2155189051","https://openalex.org/W2160687178","https://openalex.org/W2163605009","https://openalex.org/W2169359910","https://openalex.org/W2170009484","https://openalex.org/W2171843308","https://openalex.org/W3147616483","https://openalex.org/W6601785968","https://openalex.org/W6632924624","https://openalex.org/W6638304892","https://openalex.org/W6683164226","https://openalex.org/W6684191040"],"related_works":["https://openalex.org/W2193475944","https://openalex.org/W2028660548","https://openalex.org/W2119341610","https://openalex.org/W2916681395","https://openalex.org/W1641020902","https://openalex.org/W2529583158","https://openalex.org/W2179571827","https://openalex.org/W2002649600","https://openalex.org/W2007906783","https://openalex.org/W4247163284"],"abstract_inverted_index":{"This":[0,67],"brief":[1],"presents":[2],"analytical":[3],"results":[4],"on":[5,12],"the":[6,19,37,46,52,61,73,93,115,118],"effect":[7],"of":[8,27,117],"additive":[9,119],"weight/bias":[10],"noise":[11,121,124],"a":[13,79],"Boltzmann":[14,43],"machine":[15],"(BM),":[16],"in":[17,23],"which":[18],"unit":[20],"output":[21],"is":[22,34,40,49,58,65,70,84,99],"{-1,":[24],"1}":[25],"instead":[26],"{0,":[28],"1}.":[29],"With":[30],"such":[31],"noise,":[32],"it":[33],"found":[35,85],"that":[36,86],"state":[38],"distribution":[39,44],"yet":[41],"another":[42],"but":[45],"temperature":[47],"factor":[48],"elevated.":[50],"Thus,":[51],"desired":[53],"gradient":[54],"ascent":[55],"learning":[56,63,68,74,94,106],"algorithm":[57,95,107],"derived,":[59],"and":[60,122],"corresponding":[62],"procedure":[64,69,75],"developed.":[66],"compared":[71],"with":[72,81],"applied":[76],"to":[77],"train":[78],"BM":[80],"noise.":[82],"It":[83],"these":[87],"two":[88],"procedures":[89],"are":[90,125],"identical.":[91],"Therefore,":[92],"for":[96,101,108],"noise-free":[97],"BMs":[98],"suitable":[100],"implementing":[102],"as":[103],"an":[104,109],"online":[105],"analog":[110],"circuit-implemented":[111],"BM,":[112],"even":[113],"if":[114],"variances":[116],"weight":[120],"bias":[123],"unknown.":[126]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
