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a/main.tex b/main.tex index 496e02d..da59a78 100644 --- a/main.tex +++ b/main.tex @@ -550,7 +550,6 @@ The result is a histogram, where each signal value bin has a number of spikes. This histogram is then normalized by the distribution of the signal. The result is another histogram, whose values are firing frequencies for each signal value. Because those frequencies are just firing probabilities multiplied by time, we can fit a Gaussian error function to those probabilities. \subsection*{Simulation} - To confirm that the $\sigma$ parameter estimated from the fit is indeed a good measure for the noisiness, we validated it against D, the noise parameter from the simulations. We find that there is a strictly monotonous relationship between the two for different sets of simulation parameters. Other parameters often used to determine noisiness (citations) such as the variance of the spike PSTH, the coefficient of variation (CV) of the interspike interval are not as useful (see figure \ref{noiseparameters}) The variance of the psth is not always monotonous in D and is very flat for low values of D. %describe what happens to the others %check Fano-factor maybe? @@ -617,7 +616,7 @@ Figure \ref{fr_sigma} shows that between the firing rate and the cell and its no \begin{figure} \includegraphics[width=0.45\linewidth]{img/sigma/0_300/scatter_and_fits_sigma_firing_rate_contrast.pdf} \includegraphics[width=0.45\linewidth]{img/sigma/0_300/scatter_and_fits_contrast_firing_rate_sigma.pdf} - \caption{Relationship between firing rate and $\sigma$ and cv respectively. Noisier tend to be cells that fire slower, but the relationship is very weak.} + \caption{Relationship between firing rate and $\sigma$ and cv respectively. Noisier cells tend to be cells that fire slower, but the relationship is very weak.} \label{fr_sigma} \end{figure} @@ -714,6 +713,7 @@ Qualitatively we see very similar results when instead of the broadband signal w Figures \ref{increases_narrow} and \ref{increases_narrow_high} both show that the results with regards to the increase of coding fraction for different population sizes seen for the broadband signal also appear when we use narrowband signals. For the high frequency signal (250Hz to 300Hz, figure \ref{increases_narrow_high} the correlation between the coding fraction increase and the firing rate is higher than the correlation between the coding fraction increase and $\sigma$. + %figures created with result_fits.py \begin{figure} \centering