{"id":"https://openalex.org/W2103013581","doi":"https://doi.org/10.1162/neco.2009.06-08-807","title":"Maximum Likelihood Decoding of Neuronal Inputs from an Interspike Interval Distribution","display_name":"Maximum Likelihood Decoding of Neuronal Inputs from an Interspike Interval Distribution","publication_year":2009,"publication_date":"2009-07-27","ids":{"openalex":"https://openalex.org/W2103013581","doi":"https://doi.org/10.1162/neco.2009.06-08-807","mag":"2103013581","pmid":"https://pubmed.ncbi.nlm.nih.gov/19635019"},"language":"en","primary_location":{"id":"doi:10.1162/neco.2009.06-08-807","is_oa":true,"landing_page_url":"https://doi.org/10.1162/neco.2009.06-08-807","pdf_url":"https://direct.mit.edu/neco/article-pdf/21/11/3079/826214/neco.2009.06-08-807.pdf","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":true,"oa_status":"bronze","oa_url":"https://direct.mit.edu/neco/article-pdf/21/11/3079/826214/neco.2009.06-08-807.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101414539","display_name":"Xuejuan Zhang","orcid":"https://orcid.org/0000-0002-4008-0880"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuejuan Zhang","raw_affiliation_strings":["Mathematical Department, Zhejiang Normal University, Jinhua, 321004, and Mathematical Department, Shaoxing University, Shaoxing, 312000, P.R.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Department, Zhejiang Normal University, Jinhua, 321004, and Mathematical Department, Shaoxing University, Shaoxing, 312000, P.R.C","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076521306","display_name":"Gongqiang You","orcid":null},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gongqiang You","raw_affiliation_strings":["Mathematical Department, Shaoxing University, Shaoxing, 312004, P.R.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Department, Shaoxing University, Shaoxing, 312004, P.R.C","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062509066","display_name":"Tianping Chen","orcid":"https://orcid.org/0000-0001-6117-6673"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianping Chen","raw_affiliation_strings":["Centre for Computational Systems Biology, Fudan University, Shanghai, 312000, P.R.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Computational Systems Biology, Fudan University, Shanghai, 312000, P.R.C","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080019095","display_name":"Jianfeng Feng","orcid":"https://orcid.org/0000-0002-9328-5732"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jianfeng Feng","raw_affiliation_strings":["Centre for Computational Systems Biology, Fudan University, Shanghai, 312000, P.R.C., and Department of Computer Science, Warwick University, Coventry CV4 7AL, U.K","Centre for Computational Systems Biology, Fudan University, Shanghai,#N# 312000, P.R.C., and Department of Computer Science, Warwick University, Coventry CV4#N# 7AL, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Computational Systems Biology, Fudan University, Shanghai, 312000, P.R.C., and Department of Computer Science, Warwick University, Coventry CV4 7AL, U.K","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"Centre for Computational Systems Biology, Fudan University, Shanghai,#N# 312000, P.R.C., and Department of Computer Science, Warwick University, Coventry CV4#N# 7AL, U.K","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2861,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.79164727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"11","first_page":"3079","last_page":"3105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"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"}},"topics":[{"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9937999844551086,"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/decoding-methods","display_name":"Decoding methods","score":0.6711961627006531},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6647294759750366},{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.620180070400238},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.5439678430557251},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5267994999885559},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.5082118511199951},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5055952072143555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.447518527507782},{"id":"https://openalex.org/keywords/neuron","display_name":"Neuron","score":0.43265366554260254},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4303530752658844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38282349705696106},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36996105313301086},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36614829301834106},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.1776449978351593},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16881224513053894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10424712300300598},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.09420827031135559}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6711961627006531},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6647294759750366},{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.620180070400238},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.5439678430557251},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5267994999885559},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.5082118511199951},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5055952072143555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.447518527507782},{"id":"https://openalex.org/C2778794669","wikidata":"https://www.wikidata.org/wiki/Q43054","display_name":"Neuron","level":2,"score":0.43265366554260254},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4303530752658844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38282349705696106},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36996105313301086},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36614829301834106},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.1776449978351593},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16881224513053894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10424712300300598},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.09420827031135559},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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":"D005071","descriptor_name":"Evoked Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D005071","descriptor_name":"Evoked Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D005071","descriptor_name":"Evoked Potentials","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":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":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"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":"D011336","descriptor_name":"Probability","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011336","descriptor_name":"Probability","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011336","descriptor_name":"Probability","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"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":2,"locations":[{"id":"doi:10.1162/neco.2009.06-08-807","is_oa":true,"landing_page_url":"https://doi.org/10.1162/neco.2009.06-08-807","pdf_url":"https://direct.mit.edu/neco/article-pdf/21/11/3079/826214/neco.2009.06-08-807.pdf","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:19635019","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19635019","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}],"best_oa_location":{"id":"doi:10.1162/neco.2009.06-08-807","is_oa":true,"landing_page_url":"https://doi.org/10.1162/neco.2009.06-08-807","pdf_url":"https://direct.mit.edu/neco/article-pdf/21/11/3079/826214/neco.2009.06-08-807.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321769","display_name":"Foundation for the Author of National Excellent Doctoral Dissertation of the People's Republic of China","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2103013581.pdf","grobid_xml":"https://content.openalex.org/works/W2103013581.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W25946478","https://openalex.org/W60166153","https://openalex.org/W345956458","https://openalex.org/W637551875","https://openalex.org/W1536990343","https://openalex.org/W1545370368","https://openalex.org/W1642251103","https://openalex.org/W1986891212","https://openalex.org/W2001391313","https://openalex.org/W2007956922","https://openalex.org/W2011711856","https://openalex.org/W2016445007","https://openalex.org/W2017277760","https://openalex.org/W2031951619","https://openalex.org/W2032774941","https://openalex.org/W2067598881","https://openalex.org/W2083953899","https://openalex.org/W2084538588","https://openalex.org/W2091845343","https://openalex.org/W2095762771","https://openalex.org/W2097560155","https://openalex.org/W2101793659","https://openalex.org/W2114640732","https://openalex.org/W2116531552","https://openalex.org/W2119618995","https://openalex.org/W2127389037","https://openalex.org/W2128949090","https://openalex.org/W2129983824","https://openalex.org/W2138704896","https://openalex.org/W2141166794","https://openalex.org/W2152532780","https://openalex.org/W2152614615","https://openalex.org/W2156432573","https://openalex.org/W2166130385","https://openalex.org/W4232995451","https://openalex.org/W4238614602","https://openalex.org/W4295151229"],"related_works":["https://openalex.org/W2383615955","https://openalex.org/W2062974934","https://openalex.org/W2187212244","https://openalex.org/W2775582103","https://openalex.org/W1558157446","https://openalex.org/W2329992713","https://openalex.org/W2173049006","https://openalex.org/W2014837149","https://openalex.org/W2114811586","https://openalex.org/W2950605049"],"abstract_inverted_index":{"An":[0],"expression":[1],"for":[2,36,57],"the":[3,7,26,37,49,87],"probability":[4],"distribution":[5],"of":[6,10,28,42,48,64,72],"interspike":[8],"interval":[9],"a":[11,40,62],"leaky":[12],"integrate-and-fire":[13],"(LIF)":[14],"model":[15],"neuron":[16,60],"is":[17],"rigorously":[18],"derived,":[19],"based":[20],"on":[21],"recent":[22],"theoretical":[23],"developments":[24],"in":[25],"theory":[27],"stochastic":[29],"processes.":[30],"This":[31],"enables":[32],"us":[33],"to":[34,70],"find":[35],"first":[38],"time":[39,91],"way":[41],"developing":[43],"maximum":[44],"likelihood":[45],"estimates":[46],"(MLE)":[47],"input":[50],"information":[51],"(e.g.,":[52],"afferent":[53],"rate":[54],"and":[55,77,82],"variance)":[56],"an":[58],"LIF":[59,73],"from":[61],"set":[63],"recorded":[65],"spike":[66],"trains.":[67],"Dynamic":[68],"inputs":[69],"pools":[71],"neurons":[74],"both":[75],"with":[76],"without":[78],"interactions":[79],"are":[80],"efficiently":[81],"reliably":[83],"decoded":[84],"by":[85],"applying":[86],"MLE,":[88],"even":[89],"within":[90],"windows":[92],"as":[93,95],"short":[94],"25":[96],"msec.":[97]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}