Replace figures, clarify text

main.tex

@@ -144,13 +144,13 @@ An increase in population size also leads to the optimum noise level moving towa
 
 \begin{figure}
 \centering  
-\includegraphics[width=0.4\linewidth]{{img/temp/best_approximation_spikes_50hz_0.01noi500s_10.5_1_1.dat_4_with_input}.pdf}
-\includegraphics[width=0.4\linewidth]{{img/temp/best_approximation_spikes_50hz_0.01noi500s_10.5_1_1.dat_16_with_input}.pdf}
-\includegraphics[width=0.4\linewidth]{{img/temp/best_approximation_spikes_50hz_0.01noi500s_10.5_1_1.dat_64_with_input}.pdf}
-\includegraphics[width=0.4\linewidth]{{img/temp/best_approximation_spikes_50hz_0.01noi500s_10.5_1_1.dat_256_with_input}.pdf}
+\includegraphics[width=0.4\linewidth]{{img/intro_raster/best_approximation_spikes_50hz_0.01noi_10.5_1.0_4_with_input}.pdf}
+\includegraphics[width=0.4\linewidth]{{img/intro_raster/best_approximation_spikes_50hz_0.01noi_10.5_1.0_16_with_input}.pdf}
+\includegraphics[width=0.4\linewidth]{{img/intro_raster/best_approximation_spikes_50hz_0.01noi_10.5_1.0_64_with_input}.pdf}
+\includegraphics[width=0.4\linewidth]{{img/intro_raster/best_approximation_spikes_50hz_0.01noi_10.5_1.0_256_with_input}.pdf}
 \label{harmonizing}
-\caption{Rasterplots and reconstructed signals for different population sizes; insets show signal spectrum. Rasterplots show the responses of neurons in the different populations. Blue lines show the reconstruction of the original signal by different sets of neurons of that population size. A: Each blue line is the reconstructed signal from the responses of a population of 4 neurons. B: Each blue line is the reconstructed signal from the responses of a population of 16 neurons. C: The same for 64 neurons. D: The same for 256 neurons. Larger population sizes lead to observations which are not as dependent on random fluctuations and are therefore closer to each other.
-\notedh{langsames signal hier nehmen(!?)}}
+\caption{Rasterplots and reconstructed signals for different population sizes; insets show signal spectrum. Rasterplots show the responses of neurons in the different populations. Each row is one trial and each black bar is one spike. Below the rasterplots, the orange line shows the original signal. Each plot contains four blue lines show the reconstruction of the original signal by different sets of neurons of that population size. A: Each blue line is the reconstructed signal from the responses of a population of 4 neurons. B: Each blue line is the reconstructed signal from the responses of a population of 16 neurons. C: The same for 64 neurons. D: The same for 256 neurons. Larger population sizes lead to observations which are not as dependent on random fluctuations and are therefore closer to each other and to the original signal.
+}
 \end{figure}
 
 \subsection{Influence of the input is complex}
@@ -826,6 +826,7 @@ Previously, when we investigated the correlation between the two measures of pop
 In almost every analysis here, our results for the broadband signal are the same or at least very similar, independent of whether we apply the analysis to the whole range or just part of it. 
 In particular, there was a good correlation between the noisiness of the cells measured in \sig and the improvement.
 However, for the broadband signal the neural firing rate allows no prediction of the improvement trough increased population size.  This is in contrast to the narrowband signals. There, firing rate and noisiness (\sig) were very similar in their correlations to the increase in coding fraction from increased population size. We also saw a stronger influence of the firing rate on the coding fraction of a single neuron.
+\todo{Add reason for low $r^2$ for N=1 cf: It's all very flat and close to 0.}
 \notedh{what to conclude here?}
 
 \begin{figure}
@@ -923,6 +924,10 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \centering
 \includegraphics[width=0.49\linewidth]{img/sigma/50_100/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/50_100/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/50_100/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/50_100/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.45\linewidth]{img/sigma/50_100/scatter_and_fits_sigma_quot_firing_rate}%
 \includegraphics[width=0.45\linewidth]{img/sigma/50_100/scatter_and_fits_firing_rate_quot_contrast}%
 
@@ -938,6 +943,10 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \centering
 \includegraphics[width=0.49\linewidth]{img/sigma/100_150/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/100_150/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/100_150/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/100_150/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.45\linewidth]{img/sigma/100_150/scatter_and_fits_sigma_quot_firing_rate}%
 \includegraphics[width=0.45\linewidth]{img/sigma/100_150/scatter_and_fits_firing_rate_quot_contrast}%
 
@@ -954,6 +963,10 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \centering
 \includegraphics[width=0.49\linewidth]{img/sigma/150_200/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/150_200/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/150_200/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/150_200/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.45\linewidth]{img/sigma/150_200/scatter_and_fits_sigma_quot_firing_rate}%
 \includegraphics[width=0.45\linewidth]{img/sigma/150_200/scatter_and_fits_firing_rate_quot_contrast}%
 
@@ -969,6 +982,10 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \centering
 \includegraphics[width=0.49\linewidth]{img/sigma/200_250/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/200_250/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/200_250/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/200_250/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.45\linewidth]{img/sigma/200_250/scatter_and_fits_sigma_quot_firing_rate}%
 \includegraphics[width=0.45\linewidth]{img/sigma/200_250/scatter_and_fits_firing_rate_quot_contrast}%
 
@@ -984,6 +1001,10 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \centering
 \includegraphics[width=0.49\linewidth]{img/sigma/250_300/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/250_300/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/250_300/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/250_300/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.45\linewidth]{img/sigma/250_300/scatter_and_fits_sigma_quot_firing_rate}%
 \includegraphics[width=0.45\linewidth]{img/sigma/250_300/scatter_and_fits_firing_rate_quot_contrast}%
 
@@ -998,10 +1019,17 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 
 
 \begin{figure}
+\centering
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_50_100/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_50_100/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_50_100/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_50_100/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_50_100/scatter_and_fits_sigma_quot_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_50_100/scatter_and_fits_sigma_diff_firing_rate.pdf}
+\includegraphics[width=0.49\linewidth]{img/sigma/narrow_50_100/scatter_and_fits_firing_rate_quot_sigma.pdf}
+\includegraphics[width=0.49\linewidth]{img/sigma/narrow_50_100/scatter_and_fits_firing_rate_diff_sigma.pdf}
  \caption{Experimental data for a signal with a lower cutoff frequency of 50Hz and an upper cutoff of 100Hz. 
  A: Coding fraction as a function of population size. Cells are grouped in quartiles according to $\sigma$.
  B: Coding fraction as a function of population size. Each curve shows an average over the cells in one panel of A. Shaded area shows the standard deviation.
@@ -1012,8 +1040,13 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \end{figure}
 
 \begin{figure}
+\centering
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_150_200/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_150_200/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_150_200/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_150_200/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_150_200/scatter_and_fits_sigma_quot_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_150_200/scatter_and_fits_sigma_diff_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_150_200/scatter_and_fits_firing_rate_quot_sigma.pdf}
@@ -1028,8 +1061,13 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \end{figure}
 
 \begin{figure}
+\centering
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_250_300/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_250_300/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_250_300/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_250_300/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_250_300/scatter_and_fits_sigma_quot_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_250_300/scatter_and_fits_sigma_diff_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_250_300/scatter_and_fits_firing_rate_quot_sigma.pdf}
@@ -1044,8 +1082,13 @@ Bottom: Same as above, but using the difference in coding fraction instead of th
 \end{figure}
 
 \begin{figure}
+\centering
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_350_400/2_by_2_overview.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_350_400/averaged_4parts.pdf}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_350_400/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/narrow_350_400/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_350_400/scatter_and_fits_sigma_quot_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_350_400/scatter_and_fits_sigma_diff_firing_rate.pdf}
 \includegraphics[width=0.49\linewidth]{img/sigma/narrow_350_400/scatter_and_fits_firing_rate_quot_sigma.pdf}