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b/img/sigma/narrow_50_100/scatter_and_fits_sigma_quot_sigma.pdf differ diff --git a/img/sigma/narrow_50_100/separate_plots.pdf b/img/sigma/narrow_50_100/separate_plots.pdf index d56d3b2..f2f456d 100644 Binary files a/img/sigma/narrow_50_100/separate_plots.pdf and b/img/sigma/narrow_50_100/separate_plots.pdf differ diff --git a/main.tex b/main.tex index 75cbec1..d415581 100644 --- a/main.tex +++ b/main.tex @@ -745,9 +745,11 @@ The curves from which the averages were created can be seen in figure \ref{2_by_ %\includegraphics[width=0.45\linewidth]{img/sigma/cf_N_ex_lines} \includegraphics[width=0.45\linewidth]{img/sigma/0_300/scatter_and_fits_sigma_quot_firing_rate}% \includegraphics[width=0.45\linewidth]{img/sigma/0_300/scatter_and_fits_firing_rate_quot_contrast}% - \caption{Left: Coding fraction as a function of population size for all recorded neurons. Cells are grouped by \(\sigma\) from the fit of the function in equation \ref{errorfct}. Lines are averages over three cells each, with the shading showing the standard deviation. For stronger noise, coding fraction is far smaller for a single neuron. With increasing population size, coding fraction increases much faster for the noisy cells than for the less noisy cells. - Right: Examples for the two cells with lowest, intermediate and highest $\sigma$. For a population size of N=1, the cell with the largest $\sigma$ (brown) has the lowest coding fraction out of all the cells here. The coding fraction of that cell increases hugely with population size. At a population of N=128, coding fraction is second highest among the pictured cells.} -\label{ephys_sigma} + +\includegraphics[width=0.45\linewidth]{img/sigma/0_300/scatter_and_fits_sigma_diff_firing_rate}% +\includegraphics[width=0.45\linewidth]{img/sigma/0_300/scatter_and_fits_firing_rate_diff_contrast}% + \caption{Top: The relative increase in coding fraction for population sizes 64 and 1. Note that the y-axis scales logarithmically Left: As a function of $\sigma$. Red curve shows a regression between $\sigma$ and $\log(c_{64}/c_{1})$. There is a strong relationship between the noisiness and the increase. Noisier cells (larger $\sigma$) have generally lower coding fractions for a single neuron, so they have a bigger potential for gain. Right: As a function of cell firing rate. The relationship is much weaker, but still there. } +\label{increases_broad} \end{figure} Qualitatively we see very similar results when instead of the broadband signal we use the narrowband signal with a frequency cutoff of 50Hz (figure \ref{overview_experiment_results_narrow}. Again the cells in the first quantile interval show on average only a very slightly increasing coding fraction with increasing population size. Coding fraction for a population size of one on average decreases for the higher quartile intervals. The seperate coding fraction curves also show the typical flatness for the first quartile interval. The fourth quartile interval in particular contains several curves that are only just beginning to increase in coding fraction at a population size of 64 neurons.