Nearly finished 1st draft of species-specific Thresh-LP invariance figure (WIP).

main.aux

@@ -251,9 +251,9 @@
 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \textbf  {Intensity invariance by logarithmic compression and adaptation is restricted by the noise floor.} Envelope $x_{\text  {env}}(t)$ is transformed into logarihmically compressed envelope $x_{\text  {dB}}(t)$ and further into intensity-adapted envelope $x_{\text  {adapt}}(t)$. Indicated time scale is $5\,$s for both \textbf  {a} and \textbf  {b} (black bars). \textbf  {a}:~Ideally, if $x_{\text  {env}}(t)$ consists only of song component $s(t)$ rescaled by $\alpha $, then $x_{\text  {adapt}}(t)$ is fully intensity-invariant across all $\alpha $. \textbf  {b}:~In practice, $x_{\text  {env}}(t)$ also contains fixed-scale noise component $\eta (t)$, which limits the effective intensity invariance of $x_{\text  {adapt}}(t)$ to sufficiently large $\alpha $. \textbf  {c}:~Ratios of the SD of each representation in \textbf  {b} at a given $\alpha $ relative to the SD of the representation for $\alpha =0$ (solid lines). The same ratios for the ideal $x_{\text  {adapt}}(t)$ in \textbf  {a} are shown for comparison (dashed line). }}{12}{}\protected@file@percent }
 \newlabel{fig:inv_log-hp}{{4}{12}{}{}{}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Thresholding nonlinearity \& temporal averaging}{12}{}\protected@file@percent }
-\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces \textbf  {Intensity invariance by thresholding and temporal averaging depends on the threshold value.} Kernel response $c_i(t)$ is rescaled by $\alpha $ and transformed into binary response $b_i(t)$ and further into feature $f_i(t)$. Threshold value $\Theta _i$ is set to different percentiles of the the distribution of $c_i(t)$ at $\alpha =1$. Darker colors indicate higher values of $\Theta _i$. Indicated time scale of $500\,$ms is the same for \textbf  {a}-\textbf  {c} (black bar). \textbf  {a}:~50th percentile. \textbf  {b}:~75th percentile. \textbf  {c}:~100th percentile. \textbf  {d}:~Average value of $f_i(t)$ during the song for the different $\Theta _i$ in \textbf  {a}-\textbf  {c}. }}{13}{}\protected@file@percent }
+\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces \textbf  {Intensity invariance by thresholding and temporal averaging depends on the threshold value with regard to variable range but not saturation level.} Kernel response $c_i(t)$ is rescaled by $\alpha $ and transformed into binary response $b_i(t)$ and further into feature $f_i(t)$. Threshold value $\Theta _i$ is set to different percentiles of the the distribution of $c_i(t)$ at $\alpha =1$. Darker colors indicate higher values of $\Theta _i$. Indicated time scale of $500\,$ms is the same for \textbf  {a}-\textbf  {c} (black bar). \textbf  {a}:~50th percentile. \textbf  {b}:~75th percentile. \textbf  {c}:~100th percentile. \textbf  {d}:~Average value of $f_i(t)$ during the song for the different $\Theta _i$ in \textbf  {a}-\textbf  {c}. }}{13}{}\protected@file@percent }
 \newlabel{fig:inv_thresh-lp_single}{{5}{13}{}{}{}}
-\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces \textbf  {Intensity invariance by thresholding and temporal averaging depends on noise.} Kernel response $c_i(t)$ is rescaled by $\alpha $, mixed with fixed-scale noise component $\eta (t)$, and transformed into binary response $b_i(t)$ and further into feature $f_i(t)$. Threshold value $\Theta _i$ is set to different percentiles of the the distribution of $c_i(t)$ at $\alpha =1$. Darker colors indicate higher values of $\Theta _i$. Indicated time scale of $500\,$ms is the same for \textbf  {a}-\textbf  {c} (black bar). \textbf  {a}:~50th percentile. \textbf  {b}:~75th percentile. \textbf  {c}:~100th percentile. \textbf  {d}:~Average value of $f_i(t)$ during the song for the different $\Theta _i$ in \textbf  {a}-\textbf  {c}. }}{14}{}\protected@file@percent }
+\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces \textbf  {Intensity invariance by thresholding and temporal averaging depends on noise with regard to variable range but not saturation level.} Kernel response $c_i(t)$ is rescaled by $\alpha $, mixed with fixed-scale noise component $\eta (t)$, and transformed into binary response $b_i(t)$ and further into feature $f_i(t)$. Threshold value $\Theta _i$ is set to different percentiles of the the distribution of $c_i(t)$ at $\alpha =1$. Darker colors indicate higher values of $\Theta _i$. Indicated time scale of $500\,$ms is the same for \textbf  {a}-\textbf  {c} (black bar). \textbf  {a}:~50th percentile. \textbf  {b}:~75th percentile. \textbf  {c}:~100th percentile. \textbf  {d}:~Average value of $f_i(t)$ during the song for the different $\Theta _i$ in \textbf  {a}-\textbf  {c}. }}{14}{}\protected@file@percent }
 \newlabel{fig:inv_thresh-lp_single_noise}{{6}{14}{}{}{}}
 \newlabel{eq:pdf_split}{{15}{15}{}{}{}}
 \newlabel{eq:feat_avg}{{16}{15}{}{}{}}