Syncing to wörk.
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\abx@aux@page{61}{5}
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\@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 }
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\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
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\newlabel{fig:pathway}{{1}{6}{}{}{}}
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\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). }{}{}}
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\abx@aux@cite{0}{suga1960peripheral}
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\abx@aux@segm{0}{0}{suga1960peripheral}
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\abx@aux@cite{0}{gollisch2002energy}
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\newlabel{eq:highpass}{{4}{7}{}{}{}}
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\@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 }
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\newlabel{fig:stages_pre}{{2}{8}{}{}{}}
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\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 $x_{\text {adapt}}(t)$. }{}{}}
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\newlabel{eq:conv}{{5}{8}{}{}{}}
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\newlabel{eq:gabor}{{6}{8}{}{}{}}
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\abx@aux@cite{0}{bhavsar2017brain}
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\abx@aux@segm{0}{0}{bhavsar2017brain}
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\@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 }
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\newlabel{tab:gabor_phases}{{1}{9}{}{}{}}
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\newlabel{tab:gabor_phases}{{1}{9}{Values of phase $\phi $ that are specific for the four major groups of Gabor kernels.}{}{}}
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\newlabel{eq:binary}{{9}{9}{}{}{}}
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\newlabel{eq:lowpass}{{10}{10}{}{}{}}
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\@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 }
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\newlabel{fig:stages_feat}{{3}{10}{}{}{}}
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\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 $f_i(t)$.}{}{}}
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\@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 }
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\newlabel{fig:rect-lp}{{4}{12}{}{}{}}
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\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}). }{}{}}
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\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.2}Logarithmic compression \& spike-frequency adaptation}{13}{}\protected@file@percent }
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\newlabel{eq:toy_env_pure}{{11}{13}{}{}{}}
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\newlabel{eq:toy_log_pure}{{12}{13}{}{}{}}
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@@ -257,55 +257,55 @@
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\newlabel{eq:toy_log_noise}{{15}{13}{}{}{}}
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\newlabel{eq:toy_highpass_noise}{{16}{14}{}{}{}}
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\@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 }
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\newlabel{fig:log-hp}{{5}{15}{}{}{}}
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\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. }{}{}}
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\newlabel{eq:pdf_split}{{17}{16}{}{}{}}
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\newlabel{eq:feat_avg}{{18}{16}{}{}{}}
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\newlabel{eq:feat_prop}{{19}{16}{}{}{}}
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\@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 }
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\newlabel{fig:thresh-lp_single}{{6}{18}{}{}{}}
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\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). }{}{}}
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\@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 }
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\newlabel{fig:thresh-lp_species}{{7}{21}{}{}{}}
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\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. }{}{}}
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\@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 }
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\newlabel{fig:pipeline_full}{{8}{24}{}{}{}}
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\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}. }{}{}}
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\@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 }
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\newlabel{fig:pipeline_short}{{9}{26}{}{}{}}
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\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}. }{}{}}
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\@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}{}{}{}}
|
||||
\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 }
|
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\@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. Dots indicate single $\rho $ values. }}{30}{}\protected@file@percent }
|
||||
\newlabel{fig:feat_cross_species}{{11}{30}{}{}{}}
|
||||
\newlabel{fig:feat_cross_species}{{11}{30}{\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. Dots indicate single $\rho $ values. }{}{}}
|
||||
\abx@aux@cite{0}{stumpner1991auditory}
|
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\abx@aux@segm{0}{0}{stumpner1991auditory}
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\gdef\svg@ink@ver@settings{{\m@ne }{inkscape}{\m@ne }}
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\abx@aux@read@bbl@mdfivesum{1380DC8C93D2855FDB132CC5A40AD52F}
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\gdef \@abspage@last{38}
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138
main.blg
138
main.blg
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[0] Config.pm:307> INFO - This is Biber 2.19
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[36] biber:340> INFO - === Mo Mai 11, 2026, 16:40:45
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[327] Biber.pm:133> INFO - WARNINGS: 55
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[307] biber-MSWIN64:340> INFO - ===
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||||
[454] Biber.pm:419> INFO - Reading 'main.bcf'
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[691] Biber.pm:979> INFO - Found 55 citekeys in bib section 0
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[1069] bibtex.pm:1519> INFO - Found BibTeX data source 'cite.bib'
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[1720] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized'
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|
||||
[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
|
||||
|
||||
350
main.fdb_latexmk
350
main.fdb_latexmk
@@ -1,184 +1,182 @@
|
||||
# Fdb version 4
|
||||
["biber main"] 1778510445.14342 "main.bcf" "main.bbl" "main" 1778510517.54737 0
|
||||
"cite.bib" 1770904753.08918 27483 4290db0c91f7b5055e25472ef913f6b4 ""
|
||||
"main.bcf" 1778510517.48032 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex"
|
||||
["biber main"] 1778525341 "main.bcf" "main.bbl" "main" 1778525580 0
|
||||
"./cite.bib" 1771664051 28308 4290db0c91f7b5055e25472ef913f6b4 ""
|
||||
"main.bcf" 1778525580 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex"
|
||||
(generated)
|
||||
"main.bbl"
|
||||
"main.blg"
|
||||
(rewritten before read)
|
||||
["pdflatex"] 1778510516.49133 "/home/hartling/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1778510517.54758 0
|
||||
"/etc/texmf/web2c/texmf.cnf" 1761560044.43676 475 c0e671620eb5563b2130f56340a5fde8 ""
|
||||
"/home/hartling/phd/paper/paper_2025/main.tex" 1778510516.37032 89946 809223029ab75c3d8b6d2c3e2ff56823 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1246382020 916 f87d7c45f9c908e672703b83b72241a3 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1246382020 928 2dc8d444221b7a635bb58038579b861a ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1246382020 908 2921f8a10601f252058503cc6570e581 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1246382020 940 228d6584342e91276bf566bcf9716b83 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm" 1136768653 1328 c834bbb027764024c09d3d2bf908b5f0 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm" 1136768653 1324 c910af8c371558dc20f2d7822f66fe64 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbxti10.tfm" 1136768653 1532 9162035f4e7176612125649e348e2195 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmex10.tfm" 1136768653 992 662f679a0b3d2d53c1b94050fdaa3f50 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi10.tfm" 1136768653 1528 abec98dbc43e172678c11b3b9031252a ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm" 1136768653 1524 4414a8315f39513458b80dfc63bff03a ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm" 1136768653 1512 f21f83efb36853c0b70002322c1ab3ad ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm" 1136768653 1520 eccf95517727cb11801f4f1aee3a21b4 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr10.tfm" 1136768653 1296 45809c5a464d5f32c8f98ba97c1bb47f ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1136768653 1288 655e228510b4c2a1abe905c368440826 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm" 1136768653 1292 296a67155bdbfc32aa9c636f21e91433 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr6.tfm" 1136768653 1300 b62933e007d01cfd073f79b963c01526 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr8.tfm" 1136768653 1292 21c1c5bfeaebccffdb478fd231a0997d ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm" 1136768653 1124 6c73e740cf17375f03eec0ee63599741 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm" 1136768653 1116 933a60c408fc0a863a92debe84b2d294 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm" 1136768653 1120 8b7d695260f3cff42e636090a8002094 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti10.tfm" 1136768653 1480 aa8e34af0eb6a2941b776984cf1dfdc4 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti12.tfm" 1136768653 1484 ed72f8f5cf654cda15ecc8e32bfcbee5 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb" 1248133631 34811 78b52f49e893bcba91bd7581cdc144c0 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1248133631 32080 340ef9bf63678554ee606688e7b5339d ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb" 1248133631 36554 b67dc2cfa451409e100b3fcf5f506509 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb" 1248133631 30251 6afa5cb1d0204815a708a080681d4674 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb" 1248133631 36299 5f9df58c2139e7edcf37c8fca4bd384d ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb" 1248133631 36741 fa121aac0049305630cf160b86157ee4 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb" 1248133631 37166 8ab3487cbe3ab49ebce74c29ea2418db ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb" 1248133631 35469 70d41d2b9ea31d5d813066df7c99281c ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb" 1248133631 35752 024fb6c41858982481f6968b5fc26508 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb" 1248133631 32722 d7379af29a190c3f453aba36302ff5a9 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb" 1248133631 32362 179c33bbf43f19adbb3825bb4e36e57a ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb" 1248133631 32734 69e00a6b65cedb993666e42eedb3d48f ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb" 1248133631 32726 0a1aea6fcd6468ee2cf64d891f5c43c8 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb" 1248133631 32569 5e5ddc8df908dea60932f3c484a54c0d ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb" 1248133631 32626 4f5c1b83753b1dd3a97d1b399a005b4b ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb" 1248133631 37944 359e864bd06cde3b1cf57bb20757fb06 ""
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@@ -1236,31 +1236,30 @@ guaranteed simply by disabling logarithmic compression.
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\subsubsection{Intensity invariance in a naturalistic setting}
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% This one appears...meh.
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% Also, subplot "a" is currently not cited.
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% This one appears...meh?
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So far, the analyses on intensity invariance were based on synthetically
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generated input signals, since these allow for a systematic manipulation of the
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mixture of song component $\soc(t)$ and noise component $\noc(t)$ over an
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arbitrary range of scales $\sca$. Now, the question remains how the model
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pathway performs under more naturalistic conditions. We therefore repeated the
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previous analysis of the full model pathway~(Fig.\,\ref{fig:pipeline_full})
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pathway performs under more naturalistic conditions. The previous analysis of
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the full model pathway~(Fig.\,\ref{fig:pipeline_full}) was hence repeated,
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using field recordings of a song of \textit{P. parallelus} as input $\raw(t)$
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and a segment of background noise from the same recordings as pure-noise
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reference $\raw(t)=\noc(t)$. Recordings were taken simultaneously at eight
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different distances $d$ from the sender, ranging from $10\,$cm to $220\,$cm
|
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with intervals of $30\,$cm between microphones. The precise values of $\sca$
|
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that correspond to the different $d$ cannot be determined, but $\sca$ is
|
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reference. Recordings were taken simultaneously at eight different distances
|
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$d$ from the sender, ranging from $10\,$cm to $220\,$cm with intervals of
|
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$30\,$cm between microphones. The precise value of $\sca$ that corresponds to a
|
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given $d$ cannot be determined in a straightforward manner, but $\sca$ is
|
||||
expected to be inversely proportional to $d$ based on the inverse-square law of
|
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sound propagation. All intensity metrics and ratios thereof were hence plotted
|
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over $1/d\sim\sca$ on a double-logarithmic scale to resemble the previous
|
||||
analyses as closely as possible. One decade on the $1/d$ axis is comparable to
|
||||
one decade on the $\sca$ axis, even if direct conversion is not possible. To
|
||||
complicate matters, it is also not possible to quantify potential saturation
|
||||
points due to the small number of $d$ values, so that one can only refer to the
|
||||
slopes of each curve to assess whether one representation is more stable than
|
||||
another across $d$. Bearing these limitations in mind, the intensity metrics of
|
||||
each representation over $1/d$~(Fig.\,\ref{fig:pipeline_field}b) follow a
|
||||
pattern that is consistent with the results of the previous simulation-based
|
||||
over $1/d$ on a double-logarithmic scale, which is insofar comparable to
|
||||
previous analyses that a decade on the $1/d$ axis corresponds to a decade on
|
||||
the $\sca$ axis. To complicate matters further, the $1/d$ axis is sampled too
|
||||
sparsely to determine saturation points as before based on the $95\,\%$ curve
|
||||
span. Instead, one has to rely on the slope of the curve to assess if, and at
|
||||
which $1/d$, a given representation reaches a saturation regime. Bearing these
|
||||
limitations in mind, the intensity metrics of each representation over
|
||||
$1/d$~(Fig.\,\ref{fig:pipeline_field}b) follow a pattern that is consistent
|
||||
with the results of the previous simulation-based
|
||||
analysis~(Fig.\,\ref{fig:pipeline_full}b): The standard deviations of
|
||||
$\filt(t)$ and $\env(t)$ increase linearly with $1/d$, respectively. The
|
||||
standard deviations of $\db(t)$, $\adapt(t)$, and $c_i(t)$ show a weaker
|
||||
@@ -1268,16 +1267,22 @@ increase with $1/d$ and appear to approach, but not reach, a saturation regime
|
||||
for larger $1/d$. The average feature values $\muf$ of $f_i(t)$ show an even
|
||||
weaker increase with $1/d$ and appear to reach a saturation regime for
|
||||
$d=40\,$cm and $d=10\,$cm, which is consistent across most $f_i(t)$ in the
|
||||
set~(Fig.\,\ref{fig:pipeline_field}c). The saturated $\muf$ are distributed
|
||||
over a comparably narrow range of values, which could in parts be a property of
|
||||
the songs of \textit{P. parallelus}~(see also
|
||||
Fig.\,\ref{fig:thresh-lp_species}bc). The ratios of each intensity metric to
|
||||
the respective pure-noise reference value are not aligned across
|
||||
set~(Fig.\,\ref{fig:pipeline_field}c). Saturation of $f_i(t)$ without
|
||||
saturation of $c_i(t)$ suggests that the input $\raw(t)$ at the smallest
|
||||
$d=10\,$cm corresponds to a value of $\sca$ between 10 and 20 based on
|
||||
comparison with the simulation-based analysis~(Fig.\,\ref{fig:pipeline_full}b).
|
||||
The saturated $\muf$ are distributed over a comparably narrow range of values,
|
||||
which could in parts be a property of the songs of \textit{P. parallelus}~(see
|
||||
also Fig.\,\ref{fig:thresh-lp_species}bc). The ratios of each intensity metric
|
||||
to the respective pure-noise reference value are not aligned across
|
||||
representations~(Fig.\,\ref{fig:pipeline_field}d) or
|
||||
kernels~(Fig.\,\ref{fig:pipeline_field}ef) but still serve to consolidate the
|
||||
previous observation that only $f_i(t)$ appears to reach a saturation regime
|
||||
across the available $d$. This implies
|
||||
|
||||
kernels~(Fig.\,\ref{fig:pipeline_field}ef) but serve to consolidate the
|
||||
previous observation that only $f_i(t)$ exhibits some degree of intensity
|
||||
invariance within the available range of $1/d$. Based on the current results,
|
||||
this intensity invariance of $f_i(t)$ in the field holds up to a distance of
|
||||
around $40\,$cm from the sender, decays steadily between $40\,$cm and
|
||||
$130\,$cm, and is substantially dimished for larger
|
||||
distances~(Fig.\,\ref{fig:pipeline_field}a, bottom row).
|
||||
|
||||
\begin{figure}[!ht]
|
||||
\centering
|
||||
|
||||
Reference in New Issue
Block a user