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神经元的区分能力与置信水平
引用本文:向绪言.神经元的区分能力与置信水平[J].湖南文理学院学报(自然科学版),2007,19(2):36-39.
作者姓名:向绪言
作者单位:湖南文理学院,数学系,湖南,常德,415000;湖南师范大学,数学与计算机学院,湖南,长沙,410081
基金项目:国家自然科学基金(10571051),湖南省教育厅科研基金(05C723)
摘    要:当神经元接受两种不同的刺激时,利用发放率分布考虑神经元的区分能力与置信水平,对其分布分别服从相同和不同方差的高斯分布情形,给出了度量两种可能分布的分开程度的量―区分能力,和度量这种区分可靠性的量―置信水平,刻画了区分能力与其置信水平之间的关系,并给出了最优阈值的选择以及执行最优区分任务的解码过程.

关 键 词:区分  区分能力  置信水平  最优阈值
文章编号:1672-6146(2007)02-0036-04
修稿时间:2007-03-18

Neuronal Discriminability and Confidence Level
XIANG Xu-yan.Neuronal Discriminability and Confidence Level[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2007,19(2):36-39.
Authors:XIANG Xu-yan
Institution:1. Department of Mathematics, Hunan University of Arts and Science, Changde Hunan 415000; 2. College of Mathematics and Computer Science, Hunan Normal University, Changsha Hunan 410081
Abstract:Neuronal discriminability and confidence level are considered by the distributions of firing rates when one neuron receives two different stimulus. Two Gaussian distributions of firing rates, both with the same variance and with different variance, are discussed. The discriminability to measure the separation between two possible distributions and the confidence level to measure the reliability of discrimination are given. The relationship between the discriminability and the confidence level is characterized. In addition, the optimal threshold is included. As a result, a decoding procedure to perform the discrimination task perfectly is proposed.
Keywords:discrimination  discriminability  confidence level  optimal threshold
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