{"id":"https://openalex.org/W2103236816","doi":"https://doi.org/10.1162/089976698300017115","title":"Mutual Information, Fisher Information, and Population Coding","display_name":"Mutual Information, Fisher Information, and Population Coding","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W2103236816","doi":"https://doi.org/10.1162/089976698300017115","mag":"2103236816","pmid":"https://pubmed.ncbi.nlm.nih.gov/9744895"},"language":"en","primary_location":{"id":"doi:10.1162/089976698300017115","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017115","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00143781","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114375906","display_name":"Nicolas Brunel","orcid":"https://orcid.org/0000-0001-8433-3811"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nicolas Brunel","raw_affiliation_strings":["Laboratoire de Physique Statistique de I'E.N.S.,  Ecole Normale Sup\u00e9rieure, 75231 Paris Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Statistique de I'E.N.S.,  Ecole Normale Sup\u00e9rieure, 75231 Paris Cedex 05, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044592348","display_name":"Jean\u2010Pierre Nadal","orcid":"https://orcid.org/0000-0003-0022-0647"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Pierre Nadal","raw_affiliation_strings":["Laboratoire de Physique Statistique de I'E.N.S.,  Ecole Normale Sup\u00e9rieure, 75231 Paris Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Statistique de I'E.N.S.,  Ecole Normale Sup\u00e9rieure, 75231 Paris Cedex 05, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5114375906"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9264,"has_fulltext":false,"cited_by_count":375,"citation_normalized_percentile":{"value":0.93897425,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"10","issue":"7","first_page":"1731","last_page":"1757"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9990000128746033,"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":0.9990000128746033,"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/T10320","display_name":"Neural Networks and Applications","score":0.9896000027656555,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.8542291522026062},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.7600112557411194},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.7226586937904358},{"id":"https://openalex.org/keywords/stimulus","display_name":"Stimulus (psychology)","score":0.5756080150604248},{"id":"https://openalex.org/keywords/neural-coding","display_name":"Neural coding","score":0.5595133304595947},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5248813033103943},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5150361061096191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4461009204387665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3418843746185303},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3328678011894226},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2175644040107727},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.16946664452552795},{"id":"https://openalex.org/keywords/cognitive-psychology","display_name":"Cognitive psychology","score":0.15702545642852783}],"concepts":[{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.8542291522026062},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.7600112557411194},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.7226586937904358},{"id":"https://openalex.org/C2779918689","wikidata":"https://www.wikidata.org/wiki/Q3771842","display_name":"Stimulus (psychology)","level":2,"score":0.5756080150604248},{"id":"https://openalex.org/C77637269","wikidata":"https://www.wikidata.org/wiki/Q7002051","display_name":"Neural coding","level":2,"score":0.5595133304595947},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5248813033103943},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5150361061096191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4461009204387665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3418843746185303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3328678011894226},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2175644040107727},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.16946664452552795},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.15702545642852783},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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":"D002450","descriptor_name":"Cell Communication","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D002450","descriptor_name":"Cell Communication","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D002450","descriptor_name":"Cell Communication","qualifier_ui":"Q000502","qualifier_name":"physiology","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":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":"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}],"locations_count":5,"locations":[{"id":"doi:10.1162/089976698300017115","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017115","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:9744895","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9744895","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:10.1.1.48.6697","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.6697","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lps.ens.fr/~nadal/articles/fisher.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.52.9083","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.9083","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lps.ens.fr/~brunel/fisher.ps.gz","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00143781v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00143781","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural Computation, 1998, 10 (7), pp.1731 - 1757","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00143781v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00143781","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural Computation, 1998, 10 (7), pp.1731 - 1757","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1528822345","https://openalex.org/W1560089794","https://openalex.org/W1570751785","https://openalex.org/W1784695092","https://openalex.org/W1807979745","https://openalex.org/W1904024272","https://openalex.org/W1971847620","https://openalex.org/W1979191599","https://openalex.org/W1984931175","https://openalex.org/W1993197592","https://openalex.org/W2006195087","https://openalex.org/W2041404167","https://openalex.org/W2068782468","https://openalex.org/W2082195896","https://openalex.org/W2082206048","https://openalex.org/W2087169312","https://openalex.org/W2087212361","https://openalex.org/W2090642337","https://openalex.org/W2093688799","https://openalex.org/W2122925692","https://openalex.org/W2146661091","https://openalex.org/W2154168931","https://openalex.org/W2156310375","https://openalex.org/W2160570986","https://openalex.org/W2166405697","https://openalex.org/W2167403166","https://openalex.org/W2172294131","https://openalex.org/W2276275738","https://openalex.org/W2947000318","https://openalex.org/W2993383518","https://openalex.org/W4231370560","https://openalex.org/W4232608112","https://openalex.org/W4234824781"],"related_works":["https://openalex.org/W3124771927","https://openalex.org/W4225940264","https://openalex.org/W2750125254","https://openalex.org/W2111510771","https://openalex.org/W2057609120","https://openalex.org/W2114041665","https://openalex.org/W2889544313","https://openalex.org/W4380714911","https://openalex.org/W2939693078","https://openalex.org/W2103236816"],"abstract_inverted_index":{"In":[0,79],"the":[1,19,36,46,51,55,68,76,80,87,90,95],"context":[2,47],"of":[3,32,39,48,57,61,82,89,97],"parameter":[4],"estimation":[5],"and":[6,22,63],"model":[7],"selection,":[8],"it":[9],"is":[10,72],"only":[11],"quite":[12],"recently":[13],"that":[14,44],"a":[15,58,64,101],"direct":[16],"link":[17,34],"between":[18,54],"Fisher":[20,77],"information":[21,40,53],"information-theoretic":[23],"quantities":[24],"has":[25],"been":[26],"exhibited.":[27],"We":[28,42],"give":[29],"an":[30,105],"interpretation":[31],"this":[33,83],"within":[35],"standard":[37],"framework":[38],"theory.":[41],"show":[43],"in":[45,94],"population":[49],"coding,":[50],"mutual":[52],"activity":[56],"large":[59],"array":[60],"neurons":[62,69,98],"stimulus":[65,102],"to":[66,75,100],"which":[67],"are":[70],"tuned":[71],"naturally":[73],"related":[74],"information.":[78],"light":[81],"result,":[84],"we":[85],"consider":[86],"optimization":[88],"tuning":[91],"curves":[92],"parameters":[93],"case":[96],"responding":[99],"represented":[103],"by":[104],"angular":[106],"variable.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":26},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":26},{"year":2022,"cited_by_count":27},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":12}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
