diff --git a/main.aux b/main.aux index 7fea7e7..30dae58 100644 --- a/main.aux +++ b/main.aux @@ -197,7 +197,7 @@ \abx@aux@page{61}{5} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \textbf {Schematic organisation of the grasshopper song recognition pathway and structure of the functional model pathway.} \textbf {a}:~Simplified course of the pathway in the grasshopper, from the tympanal membrane over receptor neurons, local interneurons, and ascending neurons further towards the supraesophageal ganglion. \textbf {b}:~Schematic of synaptic connections between the three neuronal populations within the metathoracic ganglion. \textbf {c}:~Network representation of neuronal connectivity. \textbf {d}:~Flow diagram of consecutive signal representations~(boxes) and transformations~(arrows) along the model pathway. All representations are time-varying. 1st half: Preprocessing stage~(one-dimensional representation). 2nd half: Feature extraction stage~(high-dimensional representation). }}{6}{}\protected@file@percent } \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} -\newlabel{fig:pathway}{{1}{6}{\textbf {Schematic organisation of the grasshopper song recognition pathway and structure of the functional model pathway.} \textbf {a}:~Simplified course of the pathway in the grasshopper, from the tympanal membrane over receptor neurons, local interneurons, and ascending neurons further towards the supraesophageal ganglion. \textbf {b}:~Schematic of synaptic connections between the three neuronal populations within the metathoracic ganglion. \textbf {c}:~Network representation of neuronal connectivity. \textbf {d}:~Flow diagram of consecutive signal representations~(boxes) and transformations~(arrows) along the model pathway. All representations are time-varying. 1st half: Preprocessing stage~(one-dimensional representation). 2nd half: Feature extraction stage~(high-dimensional representation). }{}{}} +\newlabel{fig:pathway}{{1}{6}{}{}{}} \abx@aux@cite{0}{suga1960peripheral} \abx@aux@segm{0}{0}{suga1960peripheral} \abx@aux@cite{0}{gollisch2002energy} @@ -224,7 +224,7 @@ \abx@aux@page{69}{7} \newlabel{eq:highpass}{{4}{7}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \textbf {Representations of a song of \textit {O. rufipes} during the preprocessing stage.} \textbf {a}:~Bandpass filtered tympanal signal $x_{\text {filt}}(t)$. \textbf {b}:~Signal envelope $x_{\text {env}}(t)$. \textbf {c}:~Logarithmically compressed envelope $x_{\text {log}}(t)$. \textbf {d}:~Intensity-adapted envelope $x_{\text {adapt}}(t)$. }}{8}{}\protected@file@percent } -\newlabel{fig:stages_pre}{{2}{8}{\textbf {Representations of a song of \textit {O. rufipes} during the preprocessing stage.} \textbf {a}:~Bandpass filtered tympanal signal $x_{\text {filt}}(t)$. \textbf {b}:~Signal envelope $x_{\text {env}}(t)$. \textbf {c}:~Logarithmically compressed envelope $x_{\text {log}}(t)$. \textbf {d}:~Intensity-adapted envelope $x_{\text {adapt}}(t)$. }{}{}} +\newlabel{fig:stages_pre}{{2}{8}{}{}{}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.2}Feature extraction by individual neurons}{8}{}\protected@file@percent } \newlabel{eq:conv}{{5}{8}{}{}{}} \newlabel{eq:gabor}{{6}{8}{}{}{}} @@ -235,77 +235,87 @@ \abx@aux@cite{0}{bhavsar2017brain} \abx@aux@segm{0}{0}{bhavsar2017brain} \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Values of phase $\phi $ that are specific for the four major groups of Gabor kernels.}}{9}{}\protected@file@percent } -\newlabel{tab:gabor_phases}{{1}{9}{Values of phase $\phi $ that are specific for the four major groups of Gabor kernels.}{}{}} +\newlabel{tab:gabor_phases}{{1}{9}{}{}{}} \newlabel{eq:binary}{{9}{9}{}{}{}} \abx@aux@page{70}{10} \abx@aux@page{71}{10} \abx@aux@page{72}{10} \newlabel{eq:lowpass}{{10}{10}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces \textbf {Representations of a song of \textit {O. rufipes} during the feature extraction stage.} Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; two kernel widths $\sigma $ of $4\,$ms and $32\,$ms per type; 8 types, 16 kernels in total). \textbf {a}:~Kernel-specific filter responses $c_i(t)$. \textbf {b}:~Binary responses $b_i(t)$. \textbf {c}:~Finalized features $f_i(t)$.}}{10}{}\protected@file@percent } -\newlabel{fig:stages_feat}{{3}{10}{\textbf {Representations of a song of \textit {O. rufipes} during the feature extraction stage.} Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; two kernel widths $\sigma $ of $4\,$ms and $32\,$ms per type; 8 types, 16 kernels in total). \textbf {a}:~Kernel-specific filter responses $c_i(t)$. \textbf {b}:~Binary responses $b_i(t)$. \textbf {c}:~Finalized features $f_i(t)$.}{}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.3}Simulation-based analysis of the model pathway}{10}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3}Results}{10}{}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Mechanisms driving the emergence of intensity invariance}{10}{}\protected@file@percent } -\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.1}Full-wave rectification \& lowpass filtering}{11}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \textbf {Rectification and lowpass filtering improves SNR but does not contribute to intensity invariance.} Input $x_{\text {raw}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with optional noise component $\eta (t)$ and is successively transformed into tympanal signal $x_{\text {filt}}(t)$ and envelope $x_{\text {env}}(t)$. Different line styles indicate different cutoff frequencies $f_{\text {cut}}$ of the lowpass filter extracting $x_{\text {env}}(t)$. \textbf {Top}:~Example representations of $x_{\text {filt}}(t)$ and $x_{\text {env}}(t)$ for different $\alpha $. \textbf {a}:~Noiseless case. \textbf {b}:~Noisy case. \textbf {Bottom}:~Intensity metrics over a range of $\alpha $. \textbf {c}:~Noiseless case: Standard deviations $\sigma _x$ of $x_{\text {filt}}(t)$ and $x_{\text {env}}(t)$. \textbf {d}:~Noisy case: Ratios of $\sigma _x$ of $x_{\text {filt}}(t)$ and $x_{\text {env}}(t)$ to the respective reference standard deviation $\sigma _{\eta }$ for input $x_{\text {raw}}(t)=\eta (t)$. \textbf {e}:~Ratios of $\sigma _x$ to $\sigma _{\eta }$ of $x_{\text {env}}(t)$ as in \textbf {d} for different species (averaged over songs and recordings, see appendix Fig.\,\ref {fig:app_rect-lp}). }}{12}{}\protected@file@percent } -\newlabel{fig:rect-lp}{{4}{12}{\textbf {Rectification and lowpass filtering improves SNR but does not contribute to intensity invariance.} Input $x_{\text {raw}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with optional noise component $\eta (t)$ and is successively transformed into tympanal signal $x_{\text {filt}}(t)$ and envelope $x_{\text {env}}(t)$. Different line styles indicate different cutoff frequencies $f_{\text {cut}}$ of the lowpass filter extracting $x_{\text {env}}(t)$. \textbf {Top}:~Example representations of $x_{\text {filt}}(t)$ and $x_{\text {env}}(t)$ for different $\alpha $. \textbf {a}:~Noiseless case. \textbf {b}:~Noisy case. \textbf {Bottom}:~Intensity metrics over a range of $\alpha $. \textbf {c}:~Noiseless case: Standard deviations $\sigma _x$ of $x_{\text {filt}}(t)$ and $x_{\text {env}}(t)$. \textbf {d}:~Noisy case: Ratios of $\sigma _x$ of $x_{\text {filt}}(t)$ and $x_{\text {env}}(t)$ to the respective reference standard deviation $\sigma _{\eta }$ for input $x_{\text {raw}}(t)=\eta (t)$. \textbf {e}:~Ratios of $\sigma _x$ to $\sigma _{\eta }$ of $x_{\text {env}}(t)$ as in \textbf {d} for different species (averaged over songs and recordings, see appendix Fig.\,\ref {fig:app_rect-lp}). }{}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.2}Logarithmic compression \& spike-frequency adaptation}{13}{}\protected@file@percent } -\newlabel{eq:toy_env_pure}{{11}{13}{}{}{}} -\newlabel{eq:toy_log_pure}{{12}{13}{}{}{}} -\newlabel{eq:toy_highpass_pure}{{13}{13}{}{}{}} -\newlabel{eq:toy_env_noise}{{14}{13}{}{}{}} -\newlabel{eq:toy_log_noise}{{15}{13}{}{}{}} -\newlabel{eq:toy_highpass_noise}{{16}{14}{}{}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces \textbf {Intensity invariance through logarithmic compression and adaptation is restricted by the noise floor and decreases SNR.} Input $x_{\text {filt}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with optional noise component $\eta (t)$ and is successively transformed into envelope $x_{\text {env}}(t)$, logarithmically compressed envelope $x_{\text {log}}(t)$, and intensity-adapted envelope $x_{\text {adapt}}(t)$. \textbf {Top}:~Example representations of $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, and $x_{\text {adapt}}(t)$ for different $\alpha $. \textbf {a}:~Noiseless case. \textbf {b}:~Noisy case. \textbf {Bottom}:~Intensity metrics over a range of $\alpha $. \textbf {c}:~Noiseless case: Standard deviations $\sigma _x$ of $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, and $x_{\text {adapt}}(t)$. \textbf {d}:~Noisy case: Ratios of $\sigma _x$ of $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, and $x_{\text {adapt}}(t)$ to the respective reference standard deviation $\sigma _{\eta }$ for input $x_{\text {filt}}(t)=\eta (t)$. Shaded areas indicate $5\,\%$ (dark grey) and $95\,\%$ (light grey) curve span for $x_{\text {adapt}}(t)$. \textbf {e}:~Ratios of $\sigma _x$ to $\sigma _{\eta }$ of $x_{\text {adapt}}(t)$ as in \textbf {d} for different species (averaged over songs and recordings, see appendix Fig\,\ref {fig:app_log-hp_curves}). Dots indicate $95\,\%$ curve span per species. }}{15}{}\protected@file@percent } -\newlabel{fig:log-hp}{{5}{15}{\textbf {Intensity invariance through logarithmic compression and adaptation is restricted by the noise floor and decreases SNR.} Input $x_{\text {filt}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with optional noise component $\eta (t)$ and is successively transformed into envelope $x_{\text {env}}(t)$, logarithmically compressed envelope $x_{\text {log}}(t)$, and intensity-adapted envelope $x_{\text {adapt}}(t)$. \textbf {Top}:~Example representations of $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, and $x_{\text {adapt}}(t)$ for different $\alpha $. \textbf {a}:~Noiseless case. \textbf {b}:~Noisy case. \textbf {Bottom}:~Intensity metrics over a range of $\alpha $. \textbf {c}:~Noiseless case: Standard deviations $\sigma _x$ of $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, and $x_{\text {adapt}}(t)$. \textbf {d}:~Noisy case: Ratios of $\sigma _x$ of $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, and $x_{\text {adapt}}(t)$ to the respective reference standard deviation $\sigma _{\eta }$ for input $x_{\text {filt}}(t)=\eta (t)$. Shaded areas indicate $5\,\%$ (dark grey) and $95\,\%$ (light grey) curve span for $x_{\text {adapt}}(t)$. \textbf {e}:~Ratios of $\sigma _x$ to $\sigma _{\eta }$ of $x_{\text {adapt}}(t)$ as in \textbf {d} for different species (averaged over songs and recordings, see appendix Fig\,\ref {fig:app_log-hp_curves}). Dots indicate $95\,\%$ curve span per species. }{}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.3}Thresholding nonlinearity \& temporal averaging}{16}{}\protected@file@percent } -\newlabel{eq:pdf_split}{{17}{16}{}{}{}} -\newlabel{eq:feat_avg}{{18}{16}{}{}{}} -\newlabel{eq:feat_prop}{{19}{16}{}{}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces \textbf {Intensity invariance through thresholding and temporal averaging is mediated by the interaction of threshold value and noise floor.} Input $x_{\text {adapt}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with optional noise component $\eta (t)$ and is transformed into single kernel response $c(t)$, binary response $b(t)$, and feature $f(t)$. Different color shades indicate different threshold values $\Theta $ (multiples of reference standard deviation $\sigma _{\eta }$ of $c(t)$ for input $x_{\text {adapt}}(t)=\eta (t)$, with darker colors for higher $\Theta $). \textbf {Left}:~Noisy case: Example representations of $x_{\text {adapt}}(t)$ as well as $c(t)$, $b(t)$, and $f(t)$ for different $\alpha $. \textbf {a}:~$x_{\text {adapt}}(t)$ with kernel $k(t)$ in black. \textbf {b\,-\,d}: $c(t)$, $b(t)$, and $f(t)$ based on the same $x_{\text {adapt}}(t)$ from \textbf {a} but with different $\Theta $. \textbf {Right}:~Average value $\mu _f$ of $f(t)$ for each $\Theta $ from \textbf {b\,-\,d}. Dots indicate $95\,\%$ curve span (noisy case). \textbf {e}:~$\mu _f$ over a range of $\alpha $, once for the noisy case (solid lines) and once for the noiseless case (dotted lines). \textbf {f}:~Noisy case: $\mu _f$ over the standard deviation of input $x_{\text {adapt}}$ corresponding to the values of $\alpha $ shown in \textbf {e}. Shaded area indicates standard deviations that would be capped in the output $x_{\text {adapt}}(t)$ of the previous transformation pair (see Fig.\,\ref {fig:log-hp}cd). }}{18}{}\protected@file@percent } -\newlabel{fig:thresh-lp_single}{{6}{18}{\textbf {Intensity invariance through thresholding and temporal averaging is mediated by the interaction of threshold value and noise floor.} Input $x_{\text {adapt}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with optional noise component $\eta (t)$ and is transformed into single kernel response $c(t)$, binary response $b(t)$, and feature $f(t)$. Different color shades indicate different threshold values $\Theta $ (multiples of reference standard deviation $\sigma _{\eta }$ of $c(t)$ for input $x_{\text {adapt}}(t)=\eta (t)$, with darker colors for higher $\Theta $). \textbf {Left}:~Noisy case: Example representations of $x_{\text {adapt}}(t)$ as well as $c(t)$, $b(t)$, and $f(t)$ for different $\alpha $. \textbf {a}:~$x_{\text {adapt}}(t)$ with kernel $k(t)$ in black. \textbf {b\,-\,d}: $c(t)$, $b(t)$, and $f(t)$ based on the same $x_{\text {adapt}}(t)$ from \textbf {a} but with different $\Theta $. \textbf {Right}:~Average value $\mu _f$ of $f(t)$ for each $\Theta $ from \textbf {b\,-\,d}. Dots indicate $95\,\%$ curve span (noisy case). \textbf {e}:~$\mu _f$ over a range of $\alpha $, once for the noisy case (solid lines) and once for the noiseless case (dotted lines). \textbf {f}:~Noisy case: $\mu _f$ over the standard deviation of input $x_{\text {adapt}}$ corresponding to the values of $\alpha $ shown in \textbf {e}. Shaded area indicates standard deviations that would be capped in the output $x_{\text {adapt}}(t)$ of the previous transformation pair (see Fig.\,\ref {fig:log-hp}cd). }{}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Intensity invariance of species-specific feature representations}{19}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces \textbf {Feature representation of different species-specific songs saturates at different points in feature space.} Same input and processing as in Fig.\,\ref {fig:thresh-lp_single} but with three different kernels $k_i$, each with a single kernel-specific threshold value $\Theta _i=0.5\cdot \sigma _{\eta _i}$. \textbf {a}:~Examples of species-specific grasshopper songs. \textbf {Middle}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $ per species (averaged over songs and recordings, see appendix Figs.\,\ref {fig:app_thresh-lp_pure} and \ref {fig:app_thresh-lp_noise}). Different color shades indicate different kernels $k_i$. Dots indicate $95\,\%$ curve span per $k_i$. \textbf {b}:~Noiseless case. \textbf {c}:~Noisy case. \textbf {Bottom}:~2D feature spaces spanned by each pair of $f_i(t)$. Each trajectory corresponds to a species-specific combination of $\mu _{f_i}$ that develops with $\alpha $ (colorbars). Horizontal dashes in the colorbar indicate $5\,\%$ (dark grey) and $95\,\%$ (light grey) curve span of the norm across all three $\mu _{f_i}$ per species. \textbf {d}:~Noiseless case. \textbf {e}:~Noisy case. Shaded areas indicate the average minimum $\mu _{f_i}$ across all species-specific trajectories. }}{21}{}\protected@file@percent } -\newlabel{fig:thresh-lp_species}{{7}{21}{\textbf {Feature representation of different species-specific songs saturates at different points in feature space.} Same input and processing as in Fig.\,\ref {fig:thresh-lp_single} but with three different kernels $k_i$, each with a single kernel-specific threshold value $\Theta _i=0.5\cdot \sigma _{\eta _i}$. \textbf {a}:~Examples of species-specific grasshopper songs. \textbf {Middle}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $ per species (averaged over songs and recordings, see appendix Figs.\,\ref {fig:app_thresh-lp_pure} and \ref {fig:app_thresh-lp_noise}). Different color shades indicate different kernels $k_i$. Dots indicate $95\,\%$ curve span per $k_i$. \textbf {b}:~Noiseless case. \textbf {c}:~Noisy case. \textbf {Bottom}:~2D feature spaces spanned by each pair of $f_i(t)$. Each trajectory corresponds to a species-specific combination of $\mu _{f_i}$ that develops with $\alpha $ (colorbars). Horizontal dashes in the colorbar indicate $5\,\%$ (dark grey) and $95\,\%$ (light grey) curve span of the norm across all three $\mu _{f_i}$ per species. \textbf {d}:~Noiseless case. \textbf {e}:~Noisy case. Shaded areas indicate the average minimum $\mu _{f_i}$ across all species-specific trajectories. }{}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Intensity invariance along the full model pathway}{22}{}\protected@file@percent } -\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.3.1}Including logarithmic compression}{22}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces \textbf {Step-wise emergence of intensity-invariant song representations along the model pathway.} Input $x_{\text {raw}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with added noise component $\eta (t)$ and is processed up to the feature set $f_i(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~Example representations of $x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ for different $\alpha $. \textbf {b}:~Intensity metrics over $\alpha $. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. Dots indicate $95\,\%$ curve span for $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $. \textbf {d}:~Ratios of intensity metrics to the respective reference value for input $x_{\text {raw}}(t)=\eta (t)$. For $c_i(t)$ and $f_i(t)$, the median over kernel-specific ratios is shown. \textbf {e}:~Ratios of standard deviation $\sigma _{c_i}$ of each $c_i(t)$. \textbf {f}:~Ratios of $\mu _{f_i}$. \textbf {g}:~Distributions of kernel-specific $\alpha $ that correspond to $95\,\%$ curve span for $c_i(t)$ and $f_i(t)$. Dots indicate the values from \textbf {b}. }}{24}{}\protected@file@percent } -\newlabel{fig:pipeline_full}{{8}{24}{\textbf {Step-wise emergence of intensity-invariant song representations along the model pathway.} Input $x_{\text {raw}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with added noise component $\eta (t)$ and is processed up to the feature set $f_i(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~Example representations of $x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ for different $\alpha $. \textbf {b}:~Intensity metrics over $\alpha $. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. Dots indicate $95\,\%$ curve span for $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $. \textbf {d}:~Ratios of intensity metrics to the respective reference value for input $x_{\text {raw}}(t)=\eta (t)$. For $c_i(t)$ and $f_i(t)$, the median over kernel-specific ratios is shown. \textbf {e}:~Ratios of standard deviation $\sigma _{c_i}$ of each $c_i(t)$. \textbf {f}:~Ratios of $\mu _{f_i}$. \textbf {g}:~Distributions of kernel-specific $\alpha $ that correspond to $95\,\%$ curve span for $c_i(t)$ and $f_i(t)$. Dots indicate the values from \textbf {b}. }{}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.3.2}Excluding logarithmic compression}{25}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces \textbf {Effects of disabling logarithmic compression on intensity invariance along the model pathway.} Input $x_{\text {raw}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with added noise component $\eta (t)$ and is processed up to the feature set $f_i(t)$, skipping $x_{\text {log}}(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~Example representations of $x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ for different $\alpha $. \textbf {b}:~Intensity metrics over $\alpha $. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. Dots indicate $95\,\%$ curve span for $f_i(t)$. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $. \textbf {d}:~Ratios of intensity metrics to the respective reference value for input $x_{\text {raw}}(t)=\eta (t)$. For $c_i(t)$ and $f_i(t)$, the median over kernel-specific ratios is shown. \textbf {e}:~Ratios of $\mu _{f_i}$. \textbf {f}:~Distribution of kernel-specific $\alpha $ that correspond to $95\,\%$ curve span for $f_i(t)$. Dots indicate the value from \textbf {b}. }}{26}{}\protected@file@percent } -\newlabel{fig:pipeline_short}{{9}{26}{\textbf {Effects of disabling logarithmic compression on intensity invariance along the model pathway.} Input $x_{\text {raw}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with added noise component $\eta (t)$ and is processed up to the feature set $f_i(t)$, skipping $x_{\text {log}}(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~Example representations of $x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ for different $\alpha $. \textbf {b}:~Intensity metrics over $\alpha $. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. Dots indicate $95\,\%$ curve span for $f_i(t)$. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $. \textbf {d}:~Ratios of intensity metrics to the respective reference value for input $x_{\text {raw}}(t)=\eta (t)$. For $c_i(t)$ and $f_i(t)$, the median over kernel-specific ratios is shown. \textbf {e}:~Ratios of $\mu _{f_i}$. \textbf {f}:~Distribution of kernel-specific $\alpha $ that correspond to $95\,\%$ curve span for $f_i(t)$. Dots indicate the value from \textbf {b}. }{}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.3.3}Intensity invariance in a naturalistic setting}{27}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces \textbf {Intensity invariance along the model pathway in a naturalistic setting.} Input $x_{\text {raw}}(t)$ consists of a song of \textit {P. parallelus} recorded in the field at eight different distances $d$ and is processed up to the feature set $f_i(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~$x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ at each $d$. A noise segment from the same recording is shown for reference. \textbf {b}:~Intensity metrics over $d$. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $d$. \textbf {d}:~Ratios of intensity metrics to the respective value obtained from the noise reference. For $c_i(t)$ and $f_i(t)$, the median over kernel-specific ratios is shown. \textbf {e}:~Ratios of standard deviation $\sigma _{c_i}$ of each $c_i(t)$. \textbf {f}:~Ratios of $\mu _{f_i}$. }}{28}{}\protected@file@percent } -\newlabel{fig:pipeline_field}{{10}{28}{\textbf {Intensity invariance along the model pathway in a naturalistic setting.} Input $x_{\text {raw}}(t)$ consists of a song of \textit {P. parallelus} recorded in the field at eight different distances $d$ and is processed up to the feature set $f_i(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~$x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ at each $d$. A noise segment from the same recording is shown for reference. \textbf {b}:~Intensity metrics over $d$. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $d$. \textbf {d}:~Ratios of intensity metrics to the respective value obtained from the noise reference. For $c_i(t)$ and $f_i(t)$, the median over kernel-specific ratios is shown. \textbf {e}:~Ratios of standard deviation $\sigma _{c_i}$ of each $c_i(t)$. \textbf {f}:~Ratios of $\mu _{f_i}$. }{}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Interspecific and intraspecific feature variability}{29}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces \textbf {Interspecific and intraspecific feature variability.} Average value $\mu _{f_i}$ of each feature $f_i(t)$ against its counterpart from a 2nd feature set based on a different input $x_{\text {raw}}(t)$. Each dot within a subplot represents a single feature $f_i(t)$. Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). Data is based on the analysis underlying Fig\,\ref {fig:pipeline_full}. \textbf {Lower triangular}:~Interspecific comparisons between single songs of different species. \textbf {Upper triangular}:~Intraspecific comparisons between different songs of a single species (\textit {O. rufipes}). \textbf {Lower right}:~Distribution of correlation coefficients $\rho $ for each interspecific and intraspecific comparison. 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Data is based on the analysis underlying Fig\,\ref {fig:pipeline_full}. \textbf {Lower triangular}:~Interspecific comparisons between single songs of different species. \textbf {Upper triangular}:~Intraspecific comparisons between different songs of a single species (\textit {O. rufipes}). \textbf {Lower right}:~Distribution of correlation coefficients $\rho $ for each interspecific and intraspecific comparison. 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Different color shades indicate different threshold values $\Theta $ (multiples of reference standard deviation $\sigma _{\eta }$ of $c(t)$ for input $x_{\text {adapt}}(t)=\eta (t)$, with darker colors for higher $\Theta $). \textbf {Left}:~Noisy case: Example representations of $x_{\text {adapt}}(t)$ as well as $c(t)$, $b(t)$, and $f(t)$ for different $\alpha $. \textbf {a}:~$x_{\text {adapt}}(t)$ with kernel $k(t)$ in black. \textbf {b\,-\,d}: $c(t)$, $b(t)$, and $f(t)$ based on the same $x_{\text {adapt}}(t)$ from \textbf {a} but with different $\Theta $. \textbf {Right}:~Average value $\mu _f$ of $f(t)$ for each $\Theta $ from \textbf {b\,-\,d}. Dots indicate $95\,\%$ curve span (noisy case). \textbf {e}:~$\mu _f$ over a range of $\alpha $, once for the noisy case (solid lines) and once for the noiseless case (dotted lines). \textbf {f}:~Noisy case: $\mu _f$ over the standard deviation of input $x_{\text {adapt}}$ corresponding to the values of $\alpha $ shown in \textbf {e}. 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Different color shades indicate different types of Gabor kernels with specific lobe number $n$ and either $+$ or $-$ sign, sorted (dark to light) first by increasing $n$ and then by sign~($1\,\leq \,n\,\leq \,4$; first $+$, then $-$ for each $n$; five kernel widths $\sigma $ of 1, 2, 4, 8, and $16\,$ms per type; 8 types, 40 kernels in total). \textbf {a}:~Example representations of $x_{\text {filt}}(t)$, $x_{\text {env}}(t)$, $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$ for different $\alpha $. \textbf {b}:~Intensity metrics over $\alpha $. For $c_i(t)$ and $f_i(t)$, the median over kernels is shown. Dots indicate $95\,\%$ curve span for $x_{\text {log}}(t)$, $x_{\text {adapt}}(t)$, $c_i(t)$, and $f_i(t)$. \textbf {c}:~Average value $\mu _{f_i}$ of each feature $f_i(t)$ over $\alpha $. \textbf {d}:~Ratios of intensity metrics to the respective reference value for input $x_{\text {raw}}(t)=\eta (t)$. 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INFO - Looking for bibtex file 'cite.bib' for section 0 -[870] bibtex.pm:1713> INFO - LaTeX decoding ... -[1069] bibtex.pm:1519> INFO - Found BibTeX data source 'cite.bib' -[1720] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' -[1720] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' -[1722] Biber.pm:4239> INFO - Sorting list 'nyt/global//global/global' of type 'entry' with template 'nyt' and locale 'en-US' -[1722] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US' -[1860] bbl.pm:660> INFO - Writing 'main.bbl' with encoding 'UTF-8' -[1942] bbl.pm:763> INFO - Output to main.bbl -[1942] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 10, warning: 6 characters of junk seen at toplevel -[1942] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 21, warning: 6 characters of junk seen at toplevel -[1942] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 38, warning: 6 characters of junk seen at toplevel -[1943] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 49, warning: 6 characters of junk seen at toplevel -[1943] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 58, warning: 6 characters of junk seen at toplevel -[1943] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 73, warning: 6 characters of junk seen at toplevel -[1943] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 82, warning: 6 characters of junk seen at toplevel -[1943] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 91, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 100, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 109, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 118, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 127, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 136, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 157, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 178, warning: 6 characters of junk seen at toplevel -[1944] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 187, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 196, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 207, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 218, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 229, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 240, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 249, warning: 6 characters of junk seen at toplevel -[1945] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 258, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 269, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 278, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 289, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 300, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 309, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 328, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 337, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 400, warning: 6 characters of junk seen at toplevel -[1946] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 419, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 428, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 437, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 456, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 491, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 526, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 535, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 556, warning: 6 characters of junk seen at toplevel -[1947] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 565, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 576, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 587, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 619, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 648, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 658, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 667, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 688, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 709, warning: 6 characters of junk seen at toplevel -[1948] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 720, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 729, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 749, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 766, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 775, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 800, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_IYfb\347c261ec4135a5723bef5c751f5078f_15764.utf8, line 817, warning: 6 characters of junk seen at toplevel -[1949] Biber.pm:133> INFO - WARNINGS: 55 +[37] biber:340> INFO - === Mi Mai 13, 2026, 16:57:56 +[46] Biber.pm:419> INFO - Reading 'main.bcf' +[74] Biber.pm:979> INFO - Found 55 citekeys in bib section 0 +[80] Biber.pm:4419> INFO - Processing section 0 +[85] Biber.pm:4610> INFO - Looking for bibtex file 'cite.bib' for section 0 +[87] bibtex.pm:1713> INFO - LaTeX decoding ... +[117] bibtex.pm:1519> INFO - Found BibTeX data source 'cite.bib' +[302] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' +[302] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' +[302] Biber.pm:4239> INFO - Sorting list 'nyt/global//global/global' of type 'entry' with template 'nyt' and locale 'en-US' +[302] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US' +[327] bbl.pm:660> INFO - Writing 'main.bbl' with encoding 'UTF-8' +[338] bbl.pm:763> INFO - Output to main.bbl +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 10, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 21, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 38, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 49, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 58, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 73, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 82, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 91, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 100, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 109, warning: 6 characters of junk seen at toplevel +[338] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 118, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 127, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 136, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 157, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 178, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 187, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 196, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 207, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 218, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 229, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 240, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 249, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 258, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 269, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 278, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 289, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 300, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 309, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 328, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 337, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 400, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 419, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 428, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 437, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 456, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 491, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 526, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 535, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 556, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 565, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 576, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 587, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 619, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 648, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 658, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 667, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 688, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 709, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 720, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 729, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 749, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 766, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 775, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 800, warning: 6 characters of junk seen at toplevel +[339] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_XHlH/347c261ec4135a5723bef5c751f5078f_39942.utf8, line 817, warning: 6 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(C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/pgf/systemlayer\pgfsys-pdftex.def + (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def File: pgfsys-pdftex.def 2023-01-15 v3.1.10 (3.1.10) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/pgf/systemlayer\pgfsys-common-pdf.def + (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def File: pgfsys-common-pdf.def 2023-01-15 v3.1.10 (3.1.10) -))) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/pgf/systemlayer\pgfsyssoftpath.code.tex +))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex File: pgfsyssoftpath.code.tex 2023-01-15 v3.1.10 (3.1.10) -\pgfsyssoftpath@smallbuffer@items=\count269 -\pgfsyssoftpath@bigbuffer@items=\count270 -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/pgf/systemlayer\pgfsysprotocol.code.tex +\pgfsyssoftpath@smallbuffer@items=\count271 +\pgfsyssoftpath@bigbuffer@items=\count272 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex File: pgfsysprotocol.code.tex 2023-01-15 v3.1.10 (3.1.10) -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/import\import.sty +)) (/usr/share/texlive/texmf-dist/tex/latex/import/import.sty Package: import 2020/04/01 v 6.2 -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/float\float.sty +) (/usr/share/texlive/texmf-dist/tex/latex/float/float.sty Package: float 2001/11/08 v1.3d Float enhancements (AL) -\c@float@type=\count271 +\c@float@type=\count273 \float@exts=\toks26 \float@box=\box53 \@float@everytoks=\toks27 \@floatcapt=\box54 -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/placeins\placeins.sty +) (/usr/share/texlive/texmf-dist/tex/latex/placeins/placeins.sty Package: placeins 2005/04/18 v 2.2 -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/parskip\parskip.sty +) (/usr/share/texlive/texmf-dist/tex/latex/parskip/parskip.sty Package: parskip 2021-03-14 v2.0h non-zero parskip adjustments - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/kvoptions\kvoptions.sty + (/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/kvsetkeys\kvsetkeys.sty + (/usr/share/texlive/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO) -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/etoolbox\etoolbox.sty +)) (/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW) -\etb@tempcnta=\count272 -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsmath.sty +\etb@tempcnta=\count274 +)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2023/05/13 v2.17o AMS math features \@mathmargin=\skip50 For additional information on amsmath, use the `?' option. -(C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amstext.sty +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2021/08/26 v2.01 AMS text - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsgen.sty + (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks28 \ex@=\dimen163 -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsbsy.sty +)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen164 -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsopn.sty +) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) -\inf@bad=\count273 +\inf@bad=\count275 LaTeX Info: Redefining \frac on input line 234. -\uproot@=\count274 -\leftroot@=\count275 +\uproot@=\count276 +\leftroot@=\count277 LaTeX Info: Redefining \overline on input line 399. LaTeX Info: Redefining \colon on input line 410. -\classnum@=\count276 -\DOTSCASE@=\count277 +\classnum@=\count278 +\DOTSCASE@=\count279 LaTeX Info: Redefining \ldots on input line 496. LaTeX Info: Redefining \dots on input line 499. LaTeX Info: Redefining \cdots on input line 620. @@ -223,20 +223,20 @@ LaTeX Info: Redefining \Bigg on input line 725. \big@size=\dimen165 LaTeX Font Info: Redeclaring font encoding OML on input line 743. LaTeX Font Info: Redeclaring font encoding OMS on input line 744. -\macc@depth=\count278 +\macc@depth=\count280 LaTeX Info: Redefining \bmod on input line 905. LaTeX Info: Redefining \pmod on input line 910. LaTeX Info: Redefining \smash on input line 940. LaTeX Info: Redefining \relbar on input line 970. LaTeX Info: Redefining \Relbar on input line 971. -\c@MaxMatrixCols=\count279 +\c@MaxMatrixCols=\count281 \dotsspace@=\muskip16 -\c@parentequation=\count280 -\dspbrk@lvl=\count281 +\c@parentequation=\count282 +\dspbrk@lvl=\count283 \tag@help=\toks29 -\row@=\count282 -\column@=\count283 -\maxfields@=\count284 +\row@=\count284 +\column@=\count285 +\maxfields@=\count286 \andhelp@=\toks30 \eqnshift@=\dimen166 \alignsep@=\dimen167 @@ -250,20 +250,20 @@ LaTeX Info: Redefining \Relbar on input line 971. \mathdisplay@stack=\toks32 LaTeX Info: Redefining \[ on input line 2953. LaTeX Info: Redefining \] on input line 2954. -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsfonts\amssymb.sty +) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsfonts\amsfonts.sty + (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/caption\subcaption.sty +)) (/usr/share/texlive/texmf-dist/tex/latex/caption/subcaption.sty Package: subcaption 2023/07/28 v1.6b Sub-captions (AR) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/caption\caption.sty -Package: caption 2023/07/31 v3.6n Customizing captions (AR) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/caption\caption3.sty + (/usr/share/texlive/texmf-dist/tex/latex/caption/caption.sty +Package: caption 2023/08/05 v3.6o Customizing captions (AR) + (/usr/share/texlive/texmf-dist/tex/latex/caption/caption3.sty Package: caption3 2023/07/31 v2.4d caption3 kernel (AR) \caption@tempdima=\dimen172 \captionmargin=\dimen173 @@ -275,64 +275,58 @@ Package: caption3 2023/07/31 v2.4d caption3 kernel (AR) \caption@hangindent=\dimen179 Package caption Info: Standard document class detected. ) -\c@caption@flags=\count285 -\c@continuedfloat=\count286 +\c@caption@flags=\count287 +\c@continuedfloat=\count288 Package caption Info: float package is loaded. ) Package caption Info: New subtype `subfigure' on input line 238. -\c@subfigure=\count287 +\c@subfigure=\count289 Package caption Info: New subtype `subtable' on input line 238. -\c@subtable=\count288 -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/babel\babel.sty -Package: babel 2023/07/15 v3.92 The Babel package -\babel@savecnt=\count289 +\c@subtable=\count290 +) (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.sty +Package: babel 2024/01/07 v24.1 The Babel package +\babel@savecnt=\count291 \U@D=\dimen180 -\l@unhyphenated=\language79 - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/babel\txtbabel.def) +\l@unhyphenated=\language89 + (/usr/share/texlive/texmf-dist/tex/generic/babel/txtbabel.def) \bbl@readstream=\read3 -\bbl@dirlevel=\count290 - -************************************* -* Local config file bblopts.cfg used -* -(C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/arabi\bblopts.cfg -File: bblopts.cfg 2005/09/08 v0.1 add Arabic and Farsi to "declared" options of babel -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/babel-german\german.ldf -Language: german 2021/02/27 v2.13 German support for babel (pre-1996 orthography) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/babel-german\germanb.ldf -Language: germanb 2021/02/27 v2.13 German support for babel (pre-1996 orthography) +\bbl@dirlevel=\count292 + (/usr/share/texlive/texmf-dist/tex/generic/babel-german/german.ldf +Language: german 2024/01/19 v2.14 German support for babel (pre-1996 orthography) + (/usr/share/texlive/texmf-dist/tex/generic/babel-german/germanb.ldf +Language: germanb 2024/01/19 v2.14 German support for babel (pre-1996 orthography) Package babel Info: Making " an active character on input line 139. -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/babel-english\english.ldf +)) (/usr/share/texlive/texmf-dist/tex/generic/babel-english/english.ldf Language: english 2017/06/06 v3.3r English support from the babel system Package babel Info: Hyphen rules for 'canadian' set to \l@english (babel) (\language0). Reported on input line 102. Package babel Info: Hyphen rules for 'australian' set to \l@ukenglish -(babel) (\language73). Reported on input line 105. +(babel) (\language58). Reported on input line 105. Package babel Info: Hyphen rules for 'newzealand' set to \l@ukenglish -(babel) (\language73). Reported on input line 108. -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/babel/locale/en\babel-english.tex +(babel) (\language58). Reported on input line 108. +)) (/usr/share/texlive/texmf-dist/tex/generic/babel/locale/en/babel-english.tex Package babel Info: Importing font and identification data for english (babel) from babel-en.ini. Reported on input line 11. -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/babel/locale/de\babel-german.tex +) (/usr/share/texlive/texmf-dist/tex/generic/babel/locale/de/babel-german.tex Package babel Info: Importing font and identification data for german (babel) from babel-de.ini. Reported on input line 25. -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/siunitx\siunitx.sty -Package: siunitx 2023-08-03 v3.3.2 A comprehensive (SI) units package -\l__siunitx_number_uncert_offset_int=\count291 -\l__siunitx_number_exponent_fixed_int=\count292 -\l__siunitx_number_min_decimal_int=\count293 -\l__siunitx_number_min_integer_int=\count294 -\l__siunitx_number_round_precision_int=\count295 -\l__siunitx_number_lower_threshold_int=\count296 -\l__siunitx_number_upper_threshold_int=\count297 -\l__siunitx_number_group_first_int=\count298 -\l__siunitx_number_group_size_int=\count299 -\l__siunitx_number_group_minimum_int=\count300 +) (/usr/share/texlive/texmf-dist/tex/latex/siunitx/siunitx.sty +Package: siunitx 2024-01-25 v3.3.10 A comprehensive (SI) units package +\l__siunitx_number_uncert_offset_int=\count293 +\l__siunitx_number_exponent_fixed_int=\count294 +\l__siunitx_number_min_decimal_int=\count295 +\l__siunitx_number_min_integer_int=\count296 +\l__siunitx_number_round_precision_int=\count297 +\l__siunitx_number_lower_threshold_int=\count298 +\l__siunitx_number_upper_threshold_int=\count299 +\l__siunitx_number_group_first_int=\count300 +\l__siunitx_number_group_size_int=\count301 +\l__siunitx_number_group_minimum_int=\count302 \l__siunitx_angle_tmp_dim=\dimen181 \l__siunitx_angle_marker_box=\box57 \l__siunitx_angle_unit_box=\box58 -\l__siunitx_compound_count_int=\count301 - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/translations\translations.sty +\l__siunitx_compound_count_int=\count303 + (/usr/share/texlive/texmf-dist/tex/latex/translations/translations.sty Package: translations 2022/02/05 v1.12 internationalization of LaTeX2e packages (CN) ) \l__siunitx_table_tmp_box=\box59 @@ -345,17 +339,17 @@ Package: translations 2022/02/05 v1.12 internationalization of LaTeX2e packages \l__siunitx_table_after_box=\box64 \l__siunitx_table_before_dim=\dimen184 \l__siunitx_table_carry_dim=\dimen185 -\l__siunitx_unit_tmp_int=\count302 -\l__siunitx_unit_position_int=\count303 -\l__siunitx_unit_total_int=\count304 +\l__siunitx_unit_tmp_int=\count304 +\l__siunitx_unit_position_int=\count305 +\l__siunitx_unit_total_int=\count306 Package siunitx Info: Option "separate-uncertainty" has been deprecated in (siunitx) this release. (siunitx) (siunitx) Use "uncertainty-mode = separate" as a replacement. - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/tools\array.sty -Package: array 2022/09/04 v2.5g Tabular extension package (FMi) + (/usr/share/texlive/texmf-dist/tex/latex/tools/array.sty +Package: array 2023/10/16 v2.5g Tabular extension package (FMi) \col@sep=\dimen186 \ar@mcellbox=\box65 \extrarowheight=\dimen187 @@ -363,62 +357,62 @@ Package: array 2022/09/04 v2.5g Tabular extension package (FMi) \extratabsurround=\skip53 \backup@length=\skip54 \ar@cellbox=\box66 -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/biblatex\biblatex.sty +)) (/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.sty Package: biblatex 2023/03/05 v3.19 programmable bibliographies (PK/MW) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/logreq\logreq.sty + (/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.sty Package: logreq 2010/08/04 v1.0 xml request logger -\lrq@indent=\count305 - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/logreq\logreq.def +\lrq@indent=\count307 + (/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.def File: logreq.def 2010/08/04 v1.0 logreq spec v1.0 -)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/base\ifthen.sty +)) (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty Package: ifthen 2022/04/13 v1.1d Standard LaTeX ifthen package (DPC) -) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/url\url.sty +) (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip17 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) -\c@tabx@nest=\count306 -\c@listtotal=\count307 -\c@listcount=\count308 -\c@liststart=\count309 -\c@liststop=\count310 -\c@citecount=\count311 -\c@citetotal=\count312 -\c@multicitecount=\count313 -\c@multicitetotal=\count314 -\c@instcount=\count315 -\c@maxnames=\count316 -\c@minnames=\count317 -\c@maxitems=\count318 -\c@minitems=\count319 -\c@citecounter=\count320 -\c@maxcitecounter=\count321 -\c@savedcitecounter=\count322 -\c@uniquelist=\count323 -\c@uniquename=\count324 -\c@refsection=\count325 -\c@refsegment=\count326 -\c@maxextratitle=\count327 -\c@maxextratitleyear=\count328 -\c@maxextraname=\count329 -\c@maxextradate=\count330 -\c@maxextraalpha=\count331 -\c@abbrvpenalty=\count332 -\c@highnamepenalty=\count333 -\c@lownamepenalty=\count334 -\c@maxparens=\count335 -\c@parenlevel=\count336 -\blx@tempcnta=\count337 -\blx@tempcntb=\count338 -\blx@tempcntc=\count339 -\c@blx@maxsection=\count340 -\blx@maxsegment@0=\count341 -\blx@notetype=\count342 -\blx@parenlevel@text=\count343 -\blx@parenlevel@foot=\count344 -\blx@sectionciteorder@0=\count345 -\blx@sectionciteorderinternal@0=\count346 -\blx@entrysetcounter=\count347 -\blx@biblioinstance=\count348 +\c@tabx@nest=\count308 +\c@listtotal=\count309 +\c@listcount=\count310 +\c@liststart=\count311 +\c@liststop=\count312 +\c@citecount=\count313 +\c@citetotal=\count314 +\c@multicitecount=\count315 +\c@multicitetotal=\count316 +\c@instcount=\count317 +\c@maxnames=\count318 +\c@minnames=\count319 +\c@maxitems=\count320 +\c@minitems=\count321 +\c@citecounter=\count322 +\c@maxcitecounter=\count323 +\c@savedcitecounter=\count324 +\c@uniquelist=\count325 +\c@uniquename=\count326 +\c@refsection=\count327 +\c@refsegment=\count328 +\c@maxextratitle=\count329 +\c@maxextratitleyear=\count330 +\c@maxextraname=\count331 +\c@maxextradate=\count332 +\c@maxextraalpha=\count333 +\c@abbrvpenalty=\count334 +\c@highnamepenalty=\count335 +\c@lownamepenalty=\count336 +\c@maxparens=\count337 +\c@parenlevel=\count338 +\blx@tempcnta=\count339 +\blx@tempcntb=\count340 +\blx@tempcntc=\count341 +\c@blx@maxsection=\count342 +\blx@maxsegment@0=\count343 +\blx@notetype=\count344 +\blx@parenlevel@text=\count345 +\blx@parenlevel@foot=\count346 +\blx@sectionciteorder@0=\count347 +\blx@sectionciteorderinternal@0=\count348 +\blx@entrysetcounter=\count349 +\blx@biblioinstance=\count350 \labelnumberwidth=\skip55 \labelalphawidth=\skip56 \biblabelsep=\skip57 @@ -429,87 +423,87 @@ Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. \bibhang=\skip62 \blx@bcfin=\read4 \blx@bcfout=\write4 -\blx@langwohyphens=\language80 -\c@mincomprange=\count349 -\c@maxcomprange=\count350 -\c@mincompwidth=\count351 +\blx@langwohyphens=\language90 +\c@mincomprange=\count351 +\c@maxcomprange=\count352 +\c@mincompwidth=\count353 Package biblatex Info: Trying to load biblatex default data model... Package biblatex Info: ... file 'blx-dm.def' found. - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/biblatex\blx-dm.def + (/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-dm.def File: blx-dm.def 2023/03/05 v3.19 biblatex localization (PK/MW) ) Package biblatex Info: Trying to load biblatex style data model... Package biblatex Info: ... file 'authoryear.dbx' not found. Package biblatex Info: Trying to load biblatex custom data model... 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(pdftex.def) Requested size: 483.69687pt x 483.69566pt. - [37 <./figures/fig_kernel_sd_perc_field_appendix.pdf>] [38 <./figures/fig_invariance_cross_species_thresh_appendix.pdf>] (main.aux) + [41 <./figures/fig_kernel_sd_perc_field_appendix.pdf>] [42 <./figures/fig_invariance_cross_species_thresh_appendix.pdf>] (./main.aux) *********** -LaTeX2e <2023-06-01> patch level 1 -L3 programming layer <2023-08-11> +LaTeX2e <2023-11-01> patch level 1 +L3 programming layer <2024-01-22> *********** @@ -921,17 +920,18 @@ Package logreq Info: Writing requests to 'main.run.xml'. ) Here is how much of TeX's memory you used: - 20820 strings out of 475502 - 455040 string characters out of 5761813 - 1931248 words of memory out of 5000000 - 41817 multiletter control sequences out of 15000+600000 - 569740 words of font info for 80 fonts, out of 8000000 for 9000 + 20895 strings out of 474222 + 454186 string characters out of 5748732 + 1937975 words of memory out of 5000000 + 42882 multiletter control sequences out of 15000+600000 + 570077 words of font info for 81 fonts, out of 8000000 for 9000 1143 hyphenation exceptions out of 8191 - 94i,18n,93p,1755b,1736s stack positions out of 10000i,1000n,20000p,200000b,200000s - -Output written on main.pdf (38 pages, 33800522 bytes). + 94i,18n,93p,1747b,1738s stack positions out of 10000i,1000n,20000p,200000b,200000s + +Output written on main.pdf (42 pages, 33580313 bytes). PDF statistics: - 2591 PDF objects out of 2984 (max. 8388607) + 2622 PDF objects out of 2984 (max. 8388607) + 1165 compressed objects within 12 object streams 0 named destinations out of 1000 (max. 500000) 123 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/main.pdf b/main.pdf index 433c493..32fca74 100644 Binary files a/main.pdf and b/main.pdf differ diff --git a/main.synctex.gz b/main.synctex.gz index 1c95bae..be94153 100644 Binary files a/main.synctex.gz and b/main.synctex.gz differ diff --git a/main.tex b/main.tex index 6c3b340..87450ba 100644 --- a/main.tex +++ b/main.tex @@ -103,6 +103,9 @@ \newcommand{\xvar}{\sigma_{x}^{2}} % Variance of synthetic mixture \newcommand{\svar}{\sigma_{\text{s}}^{2}} % Song component variance \newcommand{\nvar}{\sigma_{\eta}^{2}} % Noise component variance +\newcommand{\xsig}{\sigma_x} % Standard deviation of synthetic mixture +\newcommand{\ssig}{\sigma_{\text{s}}} % Song component standard deviation +\newcommand{\nsig}{\sigma_{\eta}} % Noise component standard deviation \newcommand{\pc}{p(c,\,T)} % Probability density (general interval) \newcommand{\pclp}{p(c,\,\tlp)} % Probability density (lowpass interval) \newcommand{\muf}{\mu_{f_i}} % Average feature value @@ -558,7 +561,170 @@ can be read out by a simple linear classifier. \end{figure} \FloatBarrier -\subsubsection{Simulation-based analysis of the model pathway} +\subsection{Simulation-based analysis of the model pathway} + +\subsubsection{Data sourcing} + +All simulations were based on a dataset that was assembled from five different +sources, each of which is an established reference for the identification of +European grasshopper species. The dataset was limited to six species from the +species-rich \textit{Gomphocerinae} sub-family that are known to be common +throughout Central and Southern Europe. All recordings were converted to +standard~\textit{.wav}~format with a sampling rate of~44.1\,kHz and an +amplitude scale in arbitrary units. Individual songs were then cut from each +recording. The dataset includes a total of 31 recordings across species, which +amounts to a total of 153 isolated songs. However, the number of available +species-specific songs varies greatly across species, with a maximum of 48 +songs for \textit{C. biguttulus} and a minimum of 6 songs for \textit{C. +mollis}~(Tab.\,\ref{tab:species_list}). + +\begin{itemize} + \item "Heuschrecken beobachten, bestimmen" by~Heiko~Bellmann\\ + 1$^{\text{st}}$\,edition, 1993, Naturbuch, Augsburg + \item "Gesänge der heimischen Heuschrecken. Akustisch-optische + Bestimmungshilfe."\\ + by~Karl-Heinz~Garberding, Deutscher Jugendbund für Naturbeobachtung\\ + 1$^{\text{st}}$\,edition, 2001, DJN, Göttingen + \item "Heuschrecken -- Die Stimmen von 61 heimischen Arten" + by~Heiko~Bellmann\\ + 1$^{\text{st}}$\,edition, 2004, AMPLE, Germering + \item "Fauna d'Italia XLVIII -- Orthoptera" by~Bruno~Massa, Paolo~Fontana, + Filippo~M.~Buzzetti, Roy~M.J.C.~Kleukers, Baudewijn~Odé\\ + 1$^{\text{st}}$\,edition, 2012, edagricola, Milano + \item "Singing Orthoptera of Slovenia" by~Stanislav~Gomboc, Blaz~Segula\\ + 1$^{\text{st}}$\,edition, 2014, EGEA, Ljubljana +\end{itemize} + +\begin{table}[!ht] + \centering + \captionsetup{width=.75\textwidth} + \caption{Overview of the six grasshopper species from the + \textit{Gomphocerinae} sub-family, the number of sources per species, the + number of available recordings across sources, and the number of isolated + songs across recordings.} + \begin{tabular}{|lccc|} + \hline + \textbf{Species} & \textbf{Sources} & \textbf{Recordings} & \textbf{Songs}\\ + \hline + \textit{Chorthippus biguttulus} & 5 & 6 & 48\\ + \textit{Chorthippus mollis} & 3 & 3 & 6\\ + \textit{Chrysochraon dispar} & 4 & 5 & 45\\ + \textit{Gomphocerippus rufus} & 4 & 8 & 16\\ + \textit{Omocestus rufipes} & 4 & 5 & 14\\ + \textit{Pseudochorthippus parallelus} & 4 & 4 & 24\\ + \hline + \end{tabular} + \label{tab:species_list} +\end{table} + +\subsubsection{Generating synthetic input signals} + +Different processing steps along the model pathway were tested for intensity +invariance by generating synthetic input signals $x(t)$ of varying intensity, +transforming them through the respective processing steps, and comparing the +resulting signal representations. Inputs were generated for two distinct cases. +In the idealized, noiseless case, $x(t)$ consists of a song component $\soc(t)$ +with $\ssig=1$ and a multiplicative scale $\sca$: +\begin{equation} + x(t)\,=\,\sca\,\cdot\,\soc(t), \qquad \sca\,\geq\,0 + \label{eq:noiseless} +\end{equation} +In the noiseless case, $x(t)$ is hence only a scaled version of $\soc(t)$ with +$\xsig=\sca$. In the more realistic, noisy case, $x(t)$ consists of the same +song component $\soc(t)$ scaled by $\sca$ and an additive noise component +$\noc(t)$ with $\nsig=1$: +\begin{equation} + x(t)\,=\,\sca\,\cdot\,\soc(t)\,+\,\noc(t), \qquad \sca\,\geq\,0 + \label{eq:noisy} +\end{equation} +Accordingly, the SNR of input $x(t)$ in the noisy case equals the squared +$\sca$ value: +% Make sure that SNR = signal-to-noise ratio is introduced somewhere! +\begin{equation} + \text{SNR}_x(\sca)\,=\,\frac{(\sca\,\cdot\,\ssig)^2}{\nsig^2}\,=\,\sca^2, \qquad \ssig\,=\,\nsig\,=\,1 + \label{eq:input_snr} +\end{equation} +For most analyses, it would be sufficient if input $x(t)$ corresponds to the +signal representation immediately before the first of the tested +transformations. For instance, when testing the effects of logarithmic +compression~(Eq.\,\ref{eq:log}), $x(t)$ would correspond to the signal envelope +$\env(t)$. However, in this particular case, $\env(t)$ results from a nonlinear +transformation~(Eq.\,\ref{eq:env}), which cannot be synthesized as an additive +mixture of $\soc(t)$ and $\noc(t)$. For this reason, any input $x(t)$ across +all analyses corresponds not to the representation immediately before the +tested transformations but its predecessor representation instead. Therefore, +when testing logarithmic compression, $x(t)$ corresponds to the tympanal signal +$\filt(t)$ instead of $\env(t)$. + +The raw $\soc(t)$ was drawn from the dataset of isolated species-specific song +recordings, whereas the raw $\noc(t)$ consists of a segment of normally +distributed white noise. Both $\soc(t)$ and $\noc(t)$ were normalized to unit +standard deviation. These can be used without further processing for all +analyses where input $x(t)$ corresponds to $\raw(t)$. For analyses where $x(t)$ +corresponds to a later representation, $\soc(t)$ and $\noc(t)$ were first +processed along the model pathway up to the required representation, again +normalized to unit standard deviation, and then used to generate $x(t)$ +according to either Eq.\,\ref{eq:noiseless} in the noiseless case or +Eq.\,\ref{eq:noisy} in the noisy case. + +\subsubsection{Quantifying signal intensity across representations} + +All intensity measures were calculated over a manually labeled segment within +each song. Segments always excluded the first and last few syllables to allow +slowly changing representations such as $f_i(t)$ to stabilize. The duration of +each segment and the number of contained syllables depends on the duration of +the species-specific song. Care was taken to ensure that the segment contained +a sufficient number of syllables to obtain a reliable estimate of the intensity +measures. + +The standard deviation $\sigma$ was used as a measure of intensity for all +representations resulting from the transformation of input $x(t)$ up to and +including the kernel responses $c_i(t)$, for which individual $\sigma_{c_i}$ +were used as kernel-specific intensity measures. The binary responses $b_i(t)$ +were deemed to similar to the features $f_i(t)$ to warrant their own intensity +measure and were hence omitted from all related analyses. For $f_i(t)$, +$\sigma$ is not an appropriate intensity measure because each $f_i(t)$ is +ideally constant with $\sigma=0$ for the duration of a song. Therefore, the +average value $\muf$ of each $f_i(t)$ was used as a kernel-specific intensity +measure instead. + +It is arguably not ideal to quantify the intensity of $c_i(t)$ and $f_i(t)$ +separately for each kernel. Overall, these representations are not separate +signals bundled together but rather a set that acts as a unit with a single +intensity measure. However, there is no straightforward way to quantify the +intensity of $c_i(t)$ or $f_i(t)$ as a whole that would not entail a certain +ambiguity, e.\,g by averaging across kernels. In this sense, we opted for the +kernel-specific approach because it allows to asses differences in the +dependency on $\sca$ between individual members of either $c_i(t)$ and +$f_i(t)$. + +The absolute intensity measures allow to compare the intensity of a +representation across different $\sca$ values. Additionally, ratios were +calculated between the intensity measures for $\sca>0$ and the respective +pure-noise reference measure for $\sca=0$ to better compare the intensities of +different representations. This is only possible in the noisy case, where input +$x(t)=\noc(t)$ for $\sca=0$, whereas $x(t)=0$ for $\sca=0$ in the noiseless +case. At the level of input $x(t)$, the ratio of intensity measures depends on +the square root of $\sca$: +\begin{equation} + \frac{\xsig}{\nsig}\,=\,\sqrt{\frac{\xsig^2}{\nsig^2}}\,=\,\sqrt{\frac{(\sca\,\cdot\,\ssig)^2\,+\,\nsig^2}{\nsig^2}}\,=\,\sqrt{\sca^2\,+\,1}, \qquad \ssig\,=\,\nsig\,=\,1 + \label{eq:input_ratio} +\end{equation} +This holds only if $\soc(t)\perp\noc(t)$, so that $\xsig^2=\ssig^2+\nsig^2$, +which is a reasonable assumption for the raw $\soc(t)$ and $\noc(t)$. However, +the dependency of the ratio on $\sca$ is not necessarily the same for +representations that are transformed from $x(t)$ by nonlinear operations, since +these change the relationship of $\soc(t)$ and $\noc(t)$ in an unpredictable +fashion. Furthermore, the ratio is not a proper SNR of the representation +because it does not relate $\soc(t)$ to $\noc(t)$ within the representation but +rather the entire representation to $\noc(t)$ alone. However, it still provides +a useful measure of the relative intensity of a representation with and without +$\soc(t)$, which is the closest we can get to the SNR of the representation. As +such, the ratio of intensity measures is referred to as SNR in the following. +% Is this legal? "SNR" is much shorter than "ratio of intensity measure to the pure-noise reference measure". +% Haven't used it much yet, sticked to "ratio" in most cases. + +\subsection{Field data-based analysis of the model pathway} \section{Results} diff --git a/python/count_species_songs.py b/python/count_species_songs.py new file mode 100644 index 0000000..3576ec8 --- /dev/null +++ b/python/count_species_songs.py @@ -0,0 +1,41 @@ +import json +from thunderhopper.filetools import search_files +from misc_functions import sort_files_by_rec +from IPython import embed + +# GENERAL SETTINGS: +target_species = [ + 'Chorthippus_biguttulus', + 'Chorthippus_mollis', + 'Chrysochraon_dispar', + 'Gomphocerippus_rufus', + 'Omocestus_rufipes', + 'Pseudochorthippus_parallelus', +] +search_kwargs = dict( + ext='.wav', + dir='../data/raw/', +) +sources = ['BM04', 'BM93', 'DJN', 'GBC', 'FTN'] + +# EXECUTION: +n_songs, n_recs, n_sources = {}, {}, {} +for species in target_species: + print(f'\nCounting {species} songs...') + + # Fetch all species-specific song files: + paths = search_files(species, **search_kwargs) + + # Sort song files by recording: + sorted_paths = sort_files_by_rec(paths, sources, return_dict=True) + + # Count number of available sources: + n_sources[species] = len(sorted_paths) + + # Count number of available recordings: + n_recs[species] = sum(len(rec_paths) for rec_paths in sorted_paths.values()) + + # Count number of available songs: + n_songs[species] = sum(sum(len(paths) for paths in rec_paths) for rec_paths in sorted_paths.values()) + + print(f'Found {n_songs[species]} songs from {n_recs[species]} recordings across {n_sources[species]} sources.') \ No newline at end of file diff --git a/python/misc_functions.py b/python/misc_functions.py index df0cbb3..2748314 100644 --- a/python/misc_functions.py +++ b/python/misc_functions.py @@ -45,7 +45,8 @@ def reduce_kernel_set(data, inds, keys=None, combis=None): data[key] = data[key][:, inds, ...] return data -def sort_files_by_rec(paths, sources=['BM04', 'BM93', 'DJN', 'GBC', 'FTN']): +def sort_files_by_rec(paths, sources=['BM04', 'BM93', 'DJN', 'GBC', 'FTN'], + return_dict=False): # Separate by source: sorted_paths = {} for source in sources: @@ -73,7 +74,11 @@ def sort_files_by_rec(paths, sources=['BM04', 'BM93', 'DJN', 'GBC', 'FTN']): # Open new recording-specific slot: sorted_paths[source].append([]) sorted_paths[source][sub_id - 1].append(path) - + + # Keep source separation: + if return_dict: + return sorted_paths + # Re-sort song files by recording only (discarding source separation): sorted_paths = [path for paths in sorted_paths.values() for path in paths] return sorted_paths