{"id":"https://openalex.org/W2087802823","doi":"https://doi.org/10.1162/neco.2009.04-06-184","title":"On the Maximization of Information Flow Between Spiking Neurons","display_name":"On the Maximization of Information Flow Between Spiking Neurons","publication_year":2009,"publication_date":"2009-07-27","ids":{"openalex":"https://openalex.org/W2087802823","doi":"https://doi.org/10.1162/neco.2009.04-06-184","mag":"2087802823","pmid":"https://pubmed.ncbi.nlm.nih.gov/19635018"},"language":"en","primary_location":{"id":"doi:10.1162/neco.2009.04-06-184","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2009.04-06-184","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","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/A5079902276","display_name":"Lucas C. Parra","orcid":"https://orcid.org/0000-0003-4667-816X"},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lucas C. Parra","raw_affiliation_strings":["Biomedical Engineering Department, City College of New York, New York, NY 10033, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomedical Engineering Department, City College of New York, New York, NY 10033, U.S.A","institution_ids":["https://openalex.org/I125687163"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070153805","display_name":"Jeffrey M. Beck","orcid":null},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey M. Beck","raw_affiliation_strings":["Brain and Cognitive Sciences, University of Rochester, Rochester, NY 14627, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Brain and Cognitive Sciences, University of Rochester, Rochester, NY 14627, U.S.A","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105179107","display_name":"Anthony J. Bell","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145836","display_name":"Center for Theoretical Biological Physics","ror":"https://ror.org/04hfg7v94","country_code":"US","type":"facility","lineage":["https://openalex.org/I12912129","https://openalex.org/I181547552","https://openalex.org/I2801539370","https://openalex.org/I4210145836","https://openalex.org/I44461941","https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anthony J. Bell","raw_affiliation_strings":["Redwood Center for Theoretical Neuroscience, University of California, Berkeley, CA 94720, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Redwood Center for Theoretical Neuroscience, University of California, Berkeley, CA 94720, U.S.A","institution_ids":["https://openalex.org/I4210145836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9155,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.77216593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"11","first_page":"2991","last_page":"3009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9998999834060669,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"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/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.7547428607940674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6856691241264343},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.5805387496948242},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.555162250995636},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.5505349040031433},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.48477715253829956},{"id":"https://openalex.org/keywords/entropy-maximization","display_name":"Entropy maximization","score":0.4518432915210724},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44262638688087463},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.430942565202713},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4303617477416992},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36861878633499146},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3166690468788147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18830111622810364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.13277536630630493}],"concepts":[{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.7547428607940674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6856691241264343},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.5805387496948242},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.555162250995636},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.5505349040031433},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.48477715253829956},{"id":"https://openalex.org/C127233936","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Entropy maximization","level":3,"score":0.4518432915210724},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44262638688087463},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.430942565202713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4303617477416992},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36861878633499146},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3166690468788147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18830111622810364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.13277536630630493},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004594","descriptor_name":"Electrophysiology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004594","descriptor_name":"Electrophysiology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004594","descriptor_name":"Electrophysiology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007257","descriptor_name":"Information Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007257","descriptor_name":"Information Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007257","descriptor_name":"Information Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"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":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","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":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019706","descriptor_name":"Excitatory Postsynaptic Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D019706","descriptor_name":"Excitatory Postsynaptic Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D019706","descriptor_name":"Excitatory Postsynaptic Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1162/neco.2009.04-06-184","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2009.04-06-184","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:19635018","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19635018","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":"Neural computation","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.9571","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.9571","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://newton.bme.columbia.edu/~lparra/publish/ParraBeckBell-NC-2009.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W25946478","https://openalex.org/W345956458","https://openalex.org/W1667165204","https://openalex.org/W1982785464","https://openalex.org/W2098241945","https://openalex.org/W2108384452","https://openalex.org/W2119493399","https://openalex.org/W2133087656","https://openalex.org/W2137234026","https://openalex.org/W2145889472","https://openalex.org/W2145971775","https://openalex.org/W2154627703","https://openalex.org/W2168558032","https://openalex.org/W2169756543","https://openalex.org/W2402325146","https://openalex.org/W2595697910","https://openalex.org/W2601251286","https://openalex.org/W2999905431","https://openalex.org/W4238614602","https://openalex.org/W4301253858"],"related_works":["https://openalex.org/W1636292289","https://openalex.org/W2951493954","https://openalex.org/W4251904713","https://openalex.org/W2116721504","https://openalex.org/W2012911002","https://openalex.org/W2133435412","https://openalex.org/W2251843845","https://openalex.org/W37904754","https://openalex.org/W2073182819","https://openalex.org/W2952592819"],"abstract_inverted_index":{"A":[0],"feedforward":[1],"spiking":[2],"network":[3,90],"represents":[4],"a":[5,10,16,32,57,105],"nonlinear":[6],"transformation":[7],"that":[8,45,71],"maps":[9],"set":[11,17],"of":[12,18,28,35,51,63,109],"input":[13],"spikes":[14,30],"to":[15,47,92],"output":[19,36,53],"spikes.":[20,37],"This":[21],"mapping":[22],"transforms":[23],"the":[24,49,60,64,76,89,99,110],"joint":[25,33,61],"probability":[26],"distribution":[27,34,62],"incoming":[29,65,111],"into":[31],"We":[38],"present":[39],"an":[40],"algorithm":[41],"for":[42,59],"synaptic":[43],"adaptation":[44],"aims":[46],"maximize":[48],"entropy":[50],"this":[52],"distribution,":[54],"thereby":[55,97],"creating":[56,104],"model":[58],"point":[66],"processes.":[67],"The":[68],"learning":[69],"rule":[70],"is":[72],"derived":[73],"depends":[74],"on":[75,85],"precise":[77],"pre-":[78],"and":[79,103],"postsynaptic":[80],"spike":[81,87,95,112],"timings.":[82],"When":[83],"trained":[84],"correlated":[86],"trains,":[88,96],"learns":[91],"extract":[93],"independent":[94],"uncovering":[98],"underlying":[100],"statistical":[101],"structure":[102],"more":[106],"efficient":[107],"representation":[108],"trains.":[113]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
