{"id":"https://openalex.org/W3187060056","doi":"https://doi.org/10.1371/journal.pcbi.1010418","title":"Synaptic balancing: A biologically plausible local learning rule that provably increases neural network noise robustness without sacrificing task performance","display_name":"Synaptic balancing: A biologically plausible local learning rule that provably increases neural network noise robustness without sacrificing task performance","publication_year":2022,"publication_date":"2022-09-19","ids":{"openalex":"https://openalex.org/W3187060056","doi":"https://doi.org/10.1371/journal.pcbi.1010418","mag":"3187060056","pmid":"https://pubmed.ncbi.nlm.nih.gov/36121844"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1010418","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1010418","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1010418&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1010418&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078899910","display_name":"Christopher H. Stock","orcid":"https://orcid.org/0000-0002-4579-660X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher H. Stock","raw_affiliation_strings":["Neuroscience Graduate Program, Stanford University School of Medicine, Stanford, California, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-4579-660X","affiliations":[{"raw_affiliation_string":"Neuroscience Graduate Program, Stanford University School of Medicine, Stanford, California, United States of America","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005430139","display_name":"Sarah E. Harvey","orcid":"https://orcid.org/0000-0003-2601-7487"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sarah E. Harvey","raw_affiliation_strings":["Department of Applied Physics, Stanford University, Stanford, California, United States of America"],"raw_orcid":"https://orcid.org/0000-0003-2601-7487","affiliations":[{"raw_affiliation_string":"Department of Applied Physics, Stanford University, Stanford, California, United States of America","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073090066","display_name":"Samuel A. Ocko","orcid":"https://orcid.org/0000-0003-3426-4517"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samuel A. Ocko","raw_affiliation_strings":["Department of Applied Physics, Stanford University, Stanford, California, United States of America"],"raw_orcid":"https://orcid.org/0000-0003-3426-4517","affiliations":[{"raw_affiliation_string":"Department of Applied Physics, Stanford University, Stanford, California, United States of America","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056551357","display_name":"Surya Ganguli","orcid":"https://orcid.org/0000-0002-9264-7551"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Surya Ganguli","raw_affiliation_strings":["Department of Applied Physics, Stanford University, Stanford, California, United States of America","Stanford Institute for Human-Centered Artificial Intelligence, Stanford University, Stanford, California, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-9264-7551","affiliations":[{"raw_affiliation_string":"Department of Applied Physics, Stanford University, Stanford, California, United States of America","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford Institute for Human-Centered Artificial Intelligence, Stanford University, Stanford, California, United States of America","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005430139"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":0.4709,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.5764978,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"18","issue":"9","first_page":"e1010418","last_page":"e1010418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9977999925613403,"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/learning-rule","display_name":"Learning rule","score":0.6742174625396729},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6679244637489319},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6626506447792053},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5787788033485413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49930810928344727},{"id":"https://openalex.org/keywords/synaptic-plasticity","display_name":"Synaptic plasticity","score":0.46259942650794983},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.433524489402771},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.34757301211357117},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15081626176834106},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1279590129852295}],"concepts":[{"id":"https://openalex.org/C2779127903","wikidata":"https://www.wikidata.org/wiki/Q6510194","display_name":"Learning rule","level":3,"score":0.6742174625396729},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6679244637489319},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6626506447792053},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5787788033485413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49930810928344727},{"id":"https://openalex.org/C98229152","wikidata":"https://www.wikidata.org/wiki/Q1551556","display_name":"Synaptic plasticity","level":3,"score":0.46259942650794983},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.433524489402771},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34757301211357117},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15081626176834106},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1279590129852295},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C170493617","wikidata":"https://www.wikidata.org/wiki/Q208467","display_name":"Receptor","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","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":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","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":true},{"descriptor_ui":"D009473","descriptor_name":"Neuronal Plasticity","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009473","descriptor_name":"Neuronal Plasticity","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009473","descriptor_name":"Neuronal Plasticity","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009473","descriptor_name":"Neuronal Plasticity","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013647","descriptor_name":"Task Performance and Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013647","descriptor_name":"Task Performance and Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013647","descriptor_name":"Task Performance and Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013647","descriptor_name":"Task Performance and Analysis","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":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","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":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1371/journal.pcbi.1010418","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1010418","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1010418&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:36121844","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36121844","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":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:arXiv.org:2107.08530","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.08530","pdf_url":"https://arxiv.org/pdf/2107.08530","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"pmh:oai:doaj.org/article:2a851f6fb73742e7b5a680086d793d9b","is_oa":true,"landing_page_url":"https://doaj.org/article/2a851f6fb73742e7b5a680086d793d9b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 18, Iss 9, p e1010418 (2022)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9522011","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9522011","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1010418","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1010418","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1010418&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320312914","display_name":"Blavatnik Family Foundation","ror":null},{"id":"https://openalex.org/F4320333566","display_name":"National Defense Science and Engineering Graduate","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3187060056.pdf","grobid_xml":"https://content.openalex.org/works/W3187060056.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W53470731","https://openalex.org/W1504248943","https://openalex.org/W1512746852","https://openalex.org/W1514853588","https://openalex.org/W1554944419","https://openalex.org/W1578099820","https://openalex.org/W1963929105","https://openalex.org/W1982270009","https://openalex.org/W1997867453","https://openalex.org/W2000344096","https://openalex.org/W2004797666","https://openalex.org/W2011225617","https://openalex.org/W2027802883","https://openalex.org/W2034169759","https://openalex.org/W2036899314","https://openalex.org/W2037616194","https://openalex.org/W2047125104","https://openalex.org/W2047535883","https://openalex.org/W2059668389","https://openalex.org/W2062899906","https://openalex.org/W2064404969","https://openalex.org/W2065671757","https://openalex.org/W2074965724","https://openalex.org/W2089996117","https://openalex.org/W2091467814","https://openalex.org/W2095202445","https://openalex.org/W2102701721","https://openalex.org/W2105398397","https://openalex.org/W2123745704","https://openalex.org/W2124780821","https://openalex.org/W2131037016","https://openalex.org/W2131215403","https://openalex.org/W2132047598","https://openalex.org/W2138704896","https://openalex.org/W2146989110","https://openalex.org/W2547071550","https://openalex.org/W2573194853","https://openalex.org/W2578308616","https://openalex.org/W2602024037","https://openalex.org/W2725150524","https://openalex.org/W2787894218","https://openalex.org/W2806265408","https://openalex.org/W2808882667","https://openalex.org/W2950462296","https://openalex.org/W2963569887","https://openalex.org/W2963586744","https://openalex.org/W2964220724","https://openalex.org/W2970333113","https://openalex.org/W2971278662","https://openalex.org/W2975717374","https://openalex.org/W3011209639","https://openalex.org/W3013829185","https://openalex.org/W3034877463","https://openalex.org/W3037129242","https://openalex.org/W3103066660","https://openalex.org/W3104688113","https://openalex.org/W3132028004","https://openalex.org/W4212774754","https://openalex.org/W4247782380","https://openalex.org/W4250589301","https://openalex.org/W4287752387","https://openalex.org/W4288280627","https://openalex.org/W4288311097"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W4281727072","https://openalex.org/W2560201613","https://openalex.org/W2171975302","https://openalex.org/W2022352247","https://openalex.org/W2377538627","https://openalex.org/W2107220315","https://openalex.org/W1589637664","https://openalex.org/W2142809053"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,62,86,135],"novel,":[3,136],"biologically":[4],"plausible":[5],"local":[6,138],"learning":[7,28,83,139],"rule":[8,29,84,101,140],"that":[9,141],"provably":[10],"increases":[11],"the":[12,38,46,57,60,69,90,123,156,160,165,172],"robustness":[13,33],"of":[14,45,59,64,74,81,95,108,128,159,162,167,174],"neural":[15,22],"dynamics":[16],"to":[17,76],"noise":[18,32],"in":[19,148],"nonlinear":[20],"recurrent":[21],"networks":[23],"with":[24,104],"homogeneous":[25],"nonlinearities.":[26],"Our":[27],"achieves":[30],"higher":[31],"without":[34,41],"sacrificing":[35],"performance":[36],"on":[37,56],"task":[39],"and":[40,92,113,125,171],"requiring":[42],"any":[43],"knowledge":[44],"particular":[47],"task.":[48],"The":[49,79],"plasticity":[50,121],"dynamics-an":[51],"integrable":[52,175],"dynamical":[53,177],"system":[54],"operating":[55],"weights":[58],"network-maintains":[61],"multiplicity":[63],"conserved":[65],"quantities,":[66],"most":[67],"notably":[68],"network's":[70],"entire":[71],"temporal":[72],"map":[73],"input":[75],"output":[77],"trajectories.":[78],"outcome":[80],"our":[82],"is":[85,102],"synaptic":[87,99],"balancing":[88,100],"between":[89,155],"incoming":[91,124],"outgoing":[93,126],"synapses":[94,127],"every":[96],"neuron.":[97],"This":[98],"consistent":[103],"many":[105],"known":[106],"aspects":[107],"experimentally":[109,117],"observed":[110],"heterosynaptic":[111,163],"plasticity,":[112,164],"moreover":[114],"makes":[115],"new":[116,152],"testable":[118],"predictions":[119],"relating":[120],"at":[122],"individual":[129],"neurons.":[130],"Overall,":[131],"this":[132],"work":[133],"provides":[134,151],"practical":[137],"exactly":[142],"preserves":[143],"overall":[144],"network":[145],"function":[146],"and,":[147],"doing":[149],"so,":[150],"conceptual":[153],"bridges":[154],"disparate":[157],"worlds":[158],"neurobiology":[161],"engineering":[166],"regularized":[168],"noise-robust":[169],"networks,":[170],"mathematics":[173],"Lax":[176],"systems.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}