Contents

• 序論
• 方法
  • スパイク時系列からのヒストグラムの作成
  • 平均積分二乗誤差及びコスト関数の導入
  
  
• 議論と発展
  • 最適区間幅の理論値のスケーリング則と発散
  • データからのスケーリング指数の同定とヒストグラム作成に必要な最小試行回数の推定　
  
  
• Bibliography
• Index

Abstract:

Time histograms are widely used to quantify the rate of discharges of neuronal spike trains. Nevertheless ad hoc bin width of the histogram is often used in literatures. We give a recipe to determine an optimal bin width of a time histogram of spike sequences. The optimal bin width diverges for a small number of trials, and scales differently for a large number of trials, depending on the smoothness of the underlying rate. We thus provide the method to estimate the minimum number of spike sequences to construct a meaningful time histogram as well as the exponent of the scaling relation.