{"id":"https://openalex.org/W2121464008","doi":"https://doi.org/10.1162/089976602753712963","title":"Energy-Efficient Coding with Discrete Stochastic Events","display_name":"Energy-Efficient Coding with Discrete Stochastic Events","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2121464008","doi":"https://doi.org/10.1162/089976602753712963","mag":"2121464008","pmid":"https://pubmed.ncbi.nlm.nih.gov/12020449"},"language":"en","primary_location":{"id":"doi:10.1162/089976602753712963","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976602753712963","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","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5282/ubm/epub.14825","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067638731","display_name":"Susanne Schreiber","orcid":"https://orcid.org/0000-0003-3913-5650"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Susanne Schreiber","raw_affiliation_strings":["Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany, and Department of Zoology, University of Cambridge, Cambridge CB2 3EJ, U.K.,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany, and Department of Zoology, University of Cambridge, Cambridge CB2 3EJ, U.K.,","institution_ids":["https://openalex.org/I39343248","https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024887903","display_name":"Christian K. Machens","orcid":"https://orcid.org/0000-0003-1717-1562"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian K. Machens","raw_affiliation_strings":["Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany,","Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany,","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029489554","display_name":"Andreas V. M. Herz","orcid":"https://orcid.org/0000-0002-3836-565X"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas. V. M. Herz","raw_affiliation_strings":["Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany,","Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany,","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Institute of Biology, Humboldt-University Berlin, 10115 Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015972398","display_name":"Simon B. Laughlin","orcid":"https://orcid.org/0000-0003-4659-6543"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Simon B. Laughlin","raw_affiliation_strings":["Department of Zoology, University of Cambridge, Cambridge CB2 3EJ, U.K.,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Zoology, University of Cambridge, Cambridge CB2 3EJ, U.K.,","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2009,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.87111801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"6","first_page":"1323","last_page":"1346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9968000054359436,"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":0.9968000054359436,"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":0.9948999881744385,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5914421081542969},{"id":"https://openalex.org/keywords/information-transfer","display_name":"Information transfer","score":0.5704199075698853},{"id":"https://openalex.org/keywords/energy-flow","display_name":"Energy flow","score":0.5610379576683044},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5424152612686157},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5251238942146301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5014135837554932},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.46810364723205566},{"id":"https://openalex.org/keywords/upstream","display_name":"Upstream (networking)","score":0.4661482572555542},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.45705342292785645},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4481840431690216},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.34784793853759766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25136566162109375},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14801642298698425},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1411048173904419},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.11179390549659729},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.107392817735672}],"concepts":[{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5914421081542969},{"id":"https://openalex.org/C8854915","wikidata":"https://www.wikidata.org/wiki/Q4350200","display_name":"Information transfer","level":2,"score":0.5704199075698853},{"id":"https://openalex.org/C206815995","wikidata":"https://www.wikidata.org/wiki/Q1341307","display_name":"Energy flow","level":3,"score":0.5610379576683044},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5424152612686157},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5251238942146301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5014135837554932},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.46810364723205566},{"id":"https://openalex.org/C191172861","wikidata":"https://www.wikidata.org/wiki/Q7899321","display_name":"Upstream (networking)","level":2,"score":0.4661482572555542},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.45705342292785645},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4481840431690216},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.34784793853759766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25136566162109375},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14801642298698425},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1411048173904419},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.11179390549659729},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.107392817735672},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","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},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","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":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015221","descriptor_name":"Potassium Channels","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015221","descriptor_name":"Potassium Channels","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015221","descriptor_name":"Potassium Channels","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015222","descriptor_name":"Sodium Channels","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015222","descriptor_name":"Sodium Channels","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015222","descriptor_name":"Sodium Channels","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1162/089976602753712963","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976602753712963","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:12020449","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12020449","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:10.1.1.87.6159","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.6159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://brodylab.cshl.edu/PersonalPages/Machens/schreiber_etal_2002.pdf","raw_type":"text"},{"id":"pmh:oai:epub.ub.uni-muenchen.de:14825","is_oa":false,"landing_page_url":"https://epub.ub.uni-muenchen.de/14825/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401845","display_name":"Open access LMU (Ludwid Maxmilian's Universitat Munchen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8204097","host_organization_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","host_organization_lineage":["https://openalex.org/I8204097"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural computation","raw_type":"doc-type:article"},{"id":"doi:10.5282/ubm/epub.14825","is_oa":true,"landing_page_url":"https://doi.org/10.5282/ubm/epub.14825","pdf_url":null,"source":{"id":"https://openalex.org/S7407052039","display_name":"Universit\u00e4tsbibliothek der LMU","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5282/ubm/epub.14825","is_oa":true,"landing_page_url":"https://doi.org/10.5282/ubm/epub.14825","pdf_url":null,"source":{"id":"https://openalex.org/S7407052039","display_name":"Universit\u00e4tsbibliothek der LMU","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9100000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1528822345","https://openalex.org/W1574637310","https://openalex.org/W1874536163","https://openalex.org/W1878427780","https://openalex.org/W1956327946","https://openalex.org/W1995875735","https://openalex.org/W2000688147","https://openalex.org/W2011838500","https://openalex.org/W2016682729","https://openalex.org/W2029236670","https://openalex.org/W2038584209","https://openalex.org/W2041905826","https://openalex.org/W2042422091","https://openalex.org/W2055900450","https://openalex.org/W2064039476","https://openalex.org/W2072016696","https://openalex.org/W2079335670","https://openalex.org/W2086999105","https://openalex.org/W2094344877","https://openalex.org/W2097475210","https://openalex.org/W2104571903","https://openalex.org/W2117509237","https://openalex.org/W2125010820","https://openalex.org/W2126925382","https://openalex.org/W2144457609","https://openalex.org/W2144588131","https://openalex.org/W2148986322","https://openalex.org/W2149618862","https://openalex.org/W2152435897","https://openalex.org/W2161038236","https://openalex.org/W2163886718","https://openalex.org/W2239458436","https://openalex.org/W2296546458","https://openalex.org/W2610997854","https://openalex.org/W2993383518"],"related_works":["https://openalex.org/W2072266897","https://openalex.org/W4290742204","https://openalex.org/W1595266364","https://openalex.org/W2492100837","https://openalex.org/W3032013634","https://openalex.org/W4224256769","https://openalex.org/W4225163189","https://openalex.org/W1994610125","https://openalex.org/W2973330265","https://openalex.org/W1990625467"],"abstract_inverted_index":{"We":[0,95,107,134],"investigate":[1],"the":[2,19,32,59,63,70,75,77,80,87,99,153,164],"energy":[3,51,105,131,138,149],"efficiency":[4],"of":[5,13,23,34,47,62,73,79,84,90,101,117,127,155],"signaling":[6,64,156],"mechanisms":[7,169],"that":[8,49,109,136],"transfer":[9,147],"information":[10,146],"by":[11,38,161],"means":[12],"discrete":[14],"stochastic":[15],"events,":[16],"such":[17],"as":[18],"opening":[20],"or":[21],"closing":[22],"an":[24],"ion":[25],"channel.":[26],"Using":[27],"a":[28,114,123,141],"simple":[29],"model":[30],"for":[31],"generation":[33],"graded":[35],"electrical":[36],"signals":[37,103],"sodium":[39],"and":[40,86,92,120,148,158,163],"potassium":[41],"channels,":[42],"we":[43],"find":[44,108],"optimum":[45],"numbers":[46],"channels":[48],"maximize":[50],"efficiency.":[52,106],"The":[53],"optima":[54],"depend":[55],"on":[56],"several":[57],"factors:":[58],"relative":[60,88],"magnitudes":[61],"cost":[65,72],"(current":[66],"flow":[67],"through":[68],"channels),":[69],"fixed":[71],"maintaining":[74],"system,":[76],"reliability":[78],"input,":[81],"additional":[82],"sources":[83],"noise,":[85],"costs":[89],"upstream":[91],"downstream":[93],"mechanisms.":[94],"also":[96],"analyze":[97],"how":[98],"statistics":[100],"input":[102],"influence":[104,152],"energy-efficient":[110],"signal":[111],"ensembles":[112],"favor":[113],"bimodal":[115],"distribution":[116],"channel":[118],"activations":[119],"contain":[121],"only":[122],"very":[124],"small":[125],"fraction":[126],"large":[128],"inputs":[129],"when":[130,137],"is":[132,140],"scarce.":[133],"conclude":[135],"use":[139],"significant":[142],"constraint,":[143],"trade-offs":[144],"between":[145],"can":[150],"strongly":[151],"number":[154],"molecules":[157],"synapses":[159],"used":[160],"neurons":[162],"manner":[165],"in":[166],"which":[167],"these":[168],"represent":[170],"information.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}