Theory of the snowflake plot and its relations to higher-order analysis methods

Theory of the snowflake plot and its relations to higher-order analysis methods
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DOI:
10.1162/0899766053723041
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发表时间:
2005-07-01
期刊:
影响因子:
2.9
通讯作者:
Iyengar, S
Iyengar, S
中科院分区:
计算机科学4区
文献类型:
--
作者:
Czanner, G;Grün, S;Iyengar, S

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雪花图是一个散点图,显示了三个神经元的相对时序。自从Perkel、Gerstein、Smith和Tatton(1975)引入它以来,它的使用相当有限,部分原因是它的三角坐标不熟悉,而且它的理论性质没有得到很好的研究。在这封信中,我们研究某些定量属性的这个情节:我们使用预测相关的雪花图的互相关直方图和尖峰触发的联合直方图,研究的抽样性质的情节为空的情况下,独立的尖峰列车,研究模拟的重合检测器,并描述扩展到三个以上的神经元这个情节。
The snowflake plot is a scatter plot that displays relative timings of three neurons. It has had rather limited use since its introduction by Perkel, Gerstein, Smith, and Tatton (1975), in part because its triangular coordinates are unfamiliar and its theoretical properties are not well studied. In this letter, we study certain quantitative properties of this plot: we use projections to relate the snowflake plot to the cross-correlation histogram and the spike-triggered joint histogram, study the sampling properties of the plot for the null case of independent spike trains, study a simulation of a coincidence detector, and describe the extension of this plot to more than three neurons.