{"id":"https://openalex.org/W3068554115","doi":"https://doi.org/10.1103/physreve.103.022404","title":"New role for circuit expansion for learning in neural networks","display_name":"New role for circuit expansion for learning in neural networks","publication_year":2021,"publication_date":"2021-02-15","ids":{"openalex":"https://openalex.org/W3068554115","doi":"https://doi.org/10.1103/physreve.103.022404","mag":"3068554115","pmid":"https://pubmed.ncbi.nlm.nih.gov/33736047"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.103.022404","doi":"https://doi.org/10.1103/physreve.103.022404","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.103.022404","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.08653","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029199747","display_name":"Julia Steinberg","orcid":"https://orcid.org/0000-0001-9541-5126","observed_orcids":["https://orcid.org/0000-0001-9541-5126"]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julia Steinberg","raw_affiliation_strings":["Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA","Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA"],"raw_orcid":"https://orcid.org/0000-0001-9541-5126","affiliations":[{"raw_affiliation_string":"Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042904819","display_name":"Madhu Advani","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Madhu Advani","raw_affiliation_strings":["Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073266403","display_name":"Haim Sompolinsky","orcid":"https://orcid.org/0000-0002-0322-0629","observed_orcids":["https://orcid.org/0000-0002-0322-0629"]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Haim Sompolinsky","raw_affiliation_strings":["Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA","Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem 91904, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.146,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.42653005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":"103","issue":"2","first_page":"022404","last_page":"022404"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9976000189781189,"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":0.9976000189781189,"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/T10581","display_name":"Neural dynamics and brain function","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.0003000000142492354,"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/generalization","display_name":"generalization","score":0.6169999837875366},{"id":"https://openalex.org/keywords/teacher-student-models","display_name":"teacher-student models","score":0.7179999947547913},{"id":"https://openalex.org/keywords/perceptron","display_name":"perceptron","score":0.9330000281333923},{"id":"https://openalex.org/keywords/noisy-labels","display_name":"label noise","score":0.5950000286102295},{"id":"https://openalex.org/keywords/network-pruning","display_name":"network pruning","score":0.6510000228881836},{"id":"https://openalex.org/keywords/mean-field-method","display_name":"mean-field analysis","score":0.656000018119812},{"id":"https://openalex.org/keywords/slack-variables","display_name":"slack variables","score":0.8650000095367432},{"id":"https://openalex.org/keywords/network-capacity","display_name":"network capacity","score":0.6100000143051147},{"id":"https://openalex.org/keywords/biological-neural-networks","display_name":"biological neural networks","score":0.44600000977516174},{"id":"https://openalex.org/keywords/sensory-pathways","display_name":"sensory pathways","score":0.3720000088214874}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.811220645904541},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.6889427304267883},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.666878879070282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6141038537025452},{"id":"https://openalex.org/C2779127903","wikidata":"https://www.wikidata.org/wiki/Q6510194","display_name":"Learning rule","level":3,"score":0.4763258099555969},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45628365874290466},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4152146577835083},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3658323287963867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23435670137405396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","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}],"locations_count":4,"locations":[{"id":"doi:10.1103/physreve.103.022404","doi":"https://doi.org/10.1103/physreve.103.022404","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.103.022404","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:33736047","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33736047","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,"listed_in":[],"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":"Physical review. E","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2008.08653","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.08653","pdf_url":"https://arxiv.org/pdf/2008.08653","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2008.08653","doi":"https://doi.org/10.48550/arxiv.2008.08653","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2008.08653","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2008.08653","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.08653","pdf_url":"https://arxiv.org/pdf/2008.08653","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G9000872143","display_name":"The Heart and the Mind: An Integrative Approach to Brain-Body Interactions in the Zebrafish","funder_award_id":"U19NS104653","funder_id":"https://openalex.org/F4320337359","funder_display_name":"National Institute of Neurological Disorders and Stroke"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320033","display_name":"Gatsby Charitable Foundation","ror":"https://ror.org/0290hax27"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337359","display_name":"National Institute of Neurological Disorders and Stroke","ror":"https://ror.org/01s5ya894"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3068554115.pdf","grobid_xml":"https://content.openalex.org/works/W3068554115.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1563088657","https://openalex.org/W1604938182","https://openalex.org/W1650706190","https://openalex.org/W1686810756","https://openalex.org/W1993533483","https://openalex.org/W1994530392","https://openalex.org/W2001570872","https://openalex.org/W2026393786","https://openalex.org/W2030450972","https://openalex.org/W2036773579","https://openalex.org/W2074376560","https://openalex.org/W2076063813","https://openalex.org/W2076551955","https://openalex.org/W2080531309","https://openalex.org/W2090614046","https://openalex.org/W2111406701","https://openalex.org/W2111790388","https://openalex.org/W2133958955","https://openalex.org/W2148603752","https://openalex.org/W2150872430","https://openalex.org/W2161278885","https://openalex.org/W2318538289","https://openalex.org/W2540093921","https://openalex.org/W2559655401","https://openalex.org/W2579923771","https://openalex.org/W2588048611","https://openalex.org/W2735586308","https://openalex.org/W2763894180","https://openalex.org/W2766572821","https://openalex.org/W2766965791","https://openalex.org/W2919115771","https://openalex.org/W3037787879","https://openalex.org/W3178286633","https://openalex.org/W4239510810"],"related_works":["https://openalex.org/W2912173254","https://openalex.org/W2385785549","https://openalex.org/W7155077237","https://openalex.org/W2970540478","https://openalex.org/W4417174886","https://openalex.org/W2015272679","https://openalex.org/W2160687178","https://openalex.org/W6906675970","https://openalex.org/W2124652207","https://openalex.org/W2744198306"],"abstract_inverted_index":{"Many":[0],"sensory":[1],"pathways":[2],"in":[3,178,211,246],"the":[4,14,33,38,60,66,100,105,113,123,137,141,153,164,172,179,184,190,194,203,206,216,220,225,241],"brain":[5],"include":[6],"sparsely":[7],"active":[8],"populations":[9],"of":[10,20,37,48,89,122,126,140,193,205,219,243],"neurons":[11],"downstream":[12],"from":[13,148],"input":[15,124,173],"stimuli.":[16],"The":[17],"biological":[18,257],"purpose":[19],"this":[21,41,71,103,176,235],"expanded":[22,61,165,196],"structure":[23,62],"is":[24,63,155,228,237],"unclear,":[25],"but":[26],"it":[27,227],"may":[28],"be":[29],"beneficial":[30],"due":[31],"to":[32,99,200,224,230,240],"increased":[34,217],"expressive":[35],"power":[36],"network.":[39],"In":[40,102],"work,":[42],"we":[43,73,187],"show":[44,188,233],"that":[45,119,189,234],"certain":[46],"ways":[47],"expanding":[49],"a":[50,75,79,94,127,145,149],"neural":[51,248,258],"network":[52,82,96,130,142,177,198,207,222],"can":[53,107],"improve":[54],"its":[55,133],"generalization":[56,138,191,212],"performance":[57,139,213],"even":[58],"when":[59,143,152,163],"pruned":[64,156],"after":[65,157],"learning":[67,144],"period.":[68],"To":[69],"study":[70],"setting,":[72],"use":[74],"teacher-student":[76],"framework":[77],"where":[78],"perceptron":[80,129,151],"teacher":[81,150,226],"generates":[83],"labels":[84],"corrupted":[85],"with":[86,171],"small":[87],"amounts":[88],"noise.":[90],"We":[91,117,159,232],"then":[92],"train":[93],"student":[95,106,128,197,221],"structurally":[97],"matched":[98],"teacher.":[101],"scenario,":[104],"achieve":[108],"optimal":[109],"accuracy":[110],"if":[111],"given":[112],"teacher's":[114],"synaptic":[115],"weights.":[116],"find":[118,160],"sparse":[120],"expansion":[121,154],"layer":[125],"both":[131],"increases":[132],"capacity":[134],"and":[135,169,174,250,256],"improves":[136],"noisy":[146],"rule":[147],"learning.":[158],"similar":[161],"behavior":[162],"units":[166],"are":[167],"stochastic":[168,195],"uncorrelated":[170],"analyze":[175],"mean-field":[180,185],"limit.":[181],"By":[182],"solving":[183],"equations,":[186],"error":[192],"continues":[199],"drop":[201],"as":[202],"size":[204],"increases.":[208],"This":[209],"improvement":[210],"occurs":[214],"despite":[215],"complexity":[218],"relative":[223],"trying":[229],"learn.":[231],"effect":[236],"closely":[238],"related":[239],"addition":[242],"slack":[244],"variables":[245],"artificial":[247,255],"networks":[249],"suggest":[251],"possible":[252],"implications":[253],"for":[254],"networks.":[259]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2020-08-24T00:00:00"}