{"id":"https://openalex.org/W2291425271","doi":null,"title":"A Mean Field Theory Learning Algorithm for N e u r al N e t wo r ks","display_name":"A Mean Field Theory Learning Algorithm for N e u r al N e t wo r ks","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W2291425271","mag":"2291425271"},"language":"en","primary_location":{"id":"pmh:oai:lup.lub.lu.se:624aca74-da8b-41ae-a50b-906635925902","doi":null,"is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/624aca74-da8b-41ae-a50b-906635925902","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex Systems; 1, pp 995-1019 (1987)","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","indexed_in":[],"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/A5057866050","display_name":"Carsten Peterson","orcid":"https://orcid.org/0000-0001-7362-2191","observed_orcids":["https://orcid.org/0000-0001-7362-2191"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carsten Peterson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7362-2191","affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"James R. Anderson","orcid":"https://orcid.org/0000-0003-2441-0728","observed_orcids":["https://orcid.org/0000-0003-2441-0728"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James R. Anderson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2441-0728","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5057866050"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6565,"has_fulltext":false,"cited_by_count":181,"citation_normalized_percentile":{"value":0.91959935,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":null,"first_page":"995","last_page":"1019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":9.999999747378752e-05,"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":9.999999747378752e-05,"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/mean-field-theory","display_name":"mean-field theory","score":0.9269999861717224},{"id":"https://openalex.org/keywords/learning-algorithms","display_name":"learning algorithms","score":0.699999988079071},{"id":"https://openalex.org/keywords/boltzmann-machine","display_name":"Boltzmann machine","score":0.9440000057220459},{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.8880000114440918},{"id":"https://openalex.org/keywords/xor-problem","display_name":"XOR problem","score":0.8560000061988831},{"id":"https://openalex.org/keywords/training-acceleration","display_name":"training acceleration","score":0.6340000033378601}],"concepts":[{"id":"https://openalex.org/C2992317946","wikidata":"https://www.wikidata.org/wiki/Q712144","display_name":"De facto","level":2,"score":0.7386602163314819},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5238780379295349},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5040070414543152},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5014820098876953},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.48610830307006836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4661610722541809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4600209593772888},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.4580506384372711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3853970170021057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35332298278808594},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3283599019050598},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.315363347530365},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21516337990760803},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.11734148859977722},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11255720257759094},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.10183212161064148},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09816354513168335},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:lup.lub.lu.se:624aca74-da8b-41ae-a50b-906635925902","doi":null,"is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/624aca74-da8b-41ae-a50b-906635925902","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex Systems; 1, pp 995-1019 (1987)","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2291425271","doi":null,"is_oa":false,"landing_page_url":"http://www.complex-systems.com/pdf/01-5-6.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"mag:2725061391","doi":null,"is_oa":false,"landing_page_url":"https://ci.nii.ac.jp/naid/10000034860/","pdf_url":null,"source":{"id":"https://openalex.org/S102748110","display_name":"Complex Systems","issn_l":"0891-2513","issn":["0891-2513"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","norway-1","poland-20","russia-white-list-3","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Complex Systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1158063877","https://openalex.org/W2615766368","https://openalex.org/W1520877269","https://openalex.org/W2197306873","https://openalex.org/W7097710168","https://openalex.org/W1726878083","https://openalex.org/W2142146041","https://openalex.org/W7095437728","https://openalex.org/W2170420203","https://openalex.org/W2944377475"],"abstract_inverted_index":{"Based":[0],"on":[1],"t":[2,37],"he":[3,32,38],"Boltzmann":[4],"Machine":[5],"concept,":[6],"we":[7],"derive":[8],"alear":[9],"ning":[10],"algorithm":[11],"in":[12,72],"which":[13],"time-consuming":[14],"stochastic":[15],"measurementsof":[16],"correlations":[17],"a":[18,64],"re":[19],"replaced":[20],"by":[21],"solutions":[22],"to":[23,36,57],"dete":[24],"rminist":[25],"ic":[26],"mean":[27],"fieldtheory":[28],"equ":[29],"ations.":[30],"T":[31],"method":[33],"is":[34],"applied":[35],"XOR":[39],"(exclusive-or":[40],"),encoder,":[41],"and":[42],"line":[43],"sym":[44],"metry":[45],"problems":[46],"with":[47],"substantial":[48],"success.":[49],"Weobserve":[50],"speedup":[51],"facto":[52],"rs":[53],"ranging":[54],"from":[55],"10":[56],"30":[58],"for":[59],"these":[60],"ap":[61],"plicat":[62],"ionsand":[63],"significan":[65],"tly":[66],"bet":[67],"ter":[68],"learning":[69],"performan":[70],"ce":[71],"general.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}