{"title":"具有延迟反馈的快速{\\large\\it Cl-}型抑制神经元具有非马尔可夫输出统计量","authors":"A. Vidybida","doi":"10.30970/jps.22.4801","DOIUrl":null,"url":null,"abstract":"For a class of fast {\\it Cl-}type inhibitory spiking neuron models with delayed feedback fed with a Poisson stochastic process of excitatory impulses, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order.","PeriodicalId":298664,"journal":{"name":"arXiv: Neurons and Cognition","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fast {\\\\large\\\\it Cl-}type inhibitory neuron with delayed feedback has non-markov output statistics\",\"authors\":\"A. Vidybida\",\"doi\":\"10.30970/jps.22.4801\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a class of fast {\\\\it Cl-}type inhibitory spiking neuron models with delayed feedback fed with a Poisson stochastic process of excitatory impulses, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order.\",\"PeriodicalId\":298664,\"journal\":{\"name\":\"arXiv: Neurons and Cognition\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Neurons and Cognition\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30970/jps.22.4801\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Neurons and Cognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30970/jps.22.4801","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fast {\large\it Cl-}type inhibitory neuron with delayed feedback has non-markov output statistics
For a class of fast {\it Cl-}type inhibitory spiking neuron models with delayed feedback fed with a Poisson stochastic process of excitatory impulses, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order.
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