From 16014c02a0acd96985c2a54b8ae77845a0e511f7 Mon Sep 17 00:00:00 2001 From: j-hartling Date: Mon, 4 May 2026 19:50:04 +0200 Subject: [PATCH] Wrote results rect-lp and log-hp :) Finished some more figure captions. --- .../fig_invariance_full_Omocestus_rufipes.pdf | Bin 4817796 -> 4817854 bytes figures/fig_invariance_rect_lp.pdf | Bin 660469 -> 619573 bytes ...fig_invariance_short_Omocestus_rufipes.pdf | Bin 1964443 -> 1964460 bytes main.aux | 120 +-- main.blg | 138 +-- main.fdb_latexmk | 348 ++++---- main.fls | 833 +++++++++--------- main.log | 791 ++++++++--------- main.pdf | Bin 39336795 -> 39084860 bytes main.synctex.gz | Bin 132314 -> 163135 bytes main.tex | 336 +++++-- python/fig_invariance_full.py | 2 +- python/fig_invariance_rect-lp.py | 4 +- python/fig_invariance_short.py | 2 +- python/save_inv_data_full.py | 34 +- 15 files changed, 1376 insertions(+), 1232 deletions(-) diff --git a/figures/fig_invariance_full_Omocestus_rufipes.pdf 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zgeT#VH~@kXK!8G&1QG#pD$09#KZqxV~8LLkd>l1YeU zKq^9NA_S5o3n4;e3L+j6Px}6Hg8?d$2q6|XqF65kv3NWX6_bb*B#sIpY-9kb3|ZU~ zSW;FB03s@(K!D^d5UBuSK_F7a6D%2zN=CGaL?A-{X(z*#k2RIY0}47i`z;SB{0pKh B;k^I= diff --git a/main.aux b/main.aux index 535e41b..0d7d0d7 100644 --- a/main.aux +++ b/main.aux @@ -44,8 +44,6 @@ \abx@aux@page{4}{1} \abx@aux@page{5}{1} \abx@aux@page{6}{1} -\abx@aux@page{7}{1} -\abx@aux@page{8}{1} \abx@aux@cite{0}{helversen1977stridulatory} \abx@aux@segm{0}{0}{helversen1977stridulatory} \abx@aux@cite{0}{stumpner1994song} @@ -96,6 +94,8 @@ \abx@aux@segm{0}{0}{clemens2010intensity} \abx@aux@cite{0}{hildebrandt2009origin} \abx@aux@segm{0}{0}{hildebrandt2009origin} +\abx@aux@page{7}{2} +\abx@aux@page{8}{2} \abx@aux@page{9}{2} \abx@aux@page{10}{2} \abx@aux@page{11}{2} @@ -117,7 +117,6 @@ \abx@aux@page{27}{2} \abx@aux@page{28}{2} \abx@aux@page{29}{2} -\abx@aux@page{30}{2} \abx@aux@cite{0}{clemens2013computational} \abx@aux@segm{0}{0}{clemens2013computational} \abx@aux@cite{0}{hennig2014time} @@ -136,6 +135,7 @@ \abx@aux@segm{0}{0}{clemens2011efficient} \abx@aux@cite{0}{clemens2012nonlinear} \abx@aux@segm{0}{0}{clemens2012nonlinear} +\abx@aux@page{30}{3} \abx@aux@page{31}{3} \abx@aux@page{32}{3} \abx@aux@page{33}{3} @@ -194,10 +194,9 @@ \abx@aux@page{60}{5} \newlabel{eq:bandpass}{{1}{5}{}{}{}} \abx@aux@page{61}{5} -\abx@aux@page{62}{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} @@ -212,6 +211,7 @@ \abx@aux@segm{0}{0}{hildebrandt2009origin} \abx@aux@cite{0}{clemens2010intensity} \abx@aux@segm{0}{0}{clemens2010intensity} +\abx@aux@page{62}{7} \newlabel{eq:env}{{2}{7}{}{}{}} \abx@aux@page{63}{7} \abx@aux@page{64}{7} @@ -223,7 +223,7 @@ \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 {subsection}{\numberline {2.2}Feature extraction by individual neurons}{8}{}\protected@file@percent } \newlabel{eq:conv}{{5}{8}{}{}{}} \newlabel{eq:gabor}{{6}{8}{}{}{}} @@ -234,68 +234,70 @@ \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 {section}{\numberline {3}Two mechanisms driving the emergence of intensity-invariant song representation}{10}{}\protected@file@percent } +\newlabel{fig:stages_feat}{{3}{10}{}{}{}} +\@writefile{toc}{\contentsline {section}{\numberline {3}Mechanisms driving the emergence of\\intensity-invariant song representation}{10}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}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}). }{}{}} +\newlabel{fig:rect-lp}{{4}{12}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Logarithmic compression \& spike-frequency adaptation}{12}{}\protected@file@percent } -\newlabel{eq:toy_env}{{11}{13}{}{}{}} -\newlabel{eq:toy_log}{{12}{13}{}{}{}} -\newlabel{eq:toy_highpass}{{13}{13}{}{}{}} -\newlabel{eq:toy_snr}{{14}{13}{}{}{}} -\@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. }}{14}{}\protected@file@percent } -\newlabel{fig:log-hp}{{5}{14}{\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 {subsection}{\numberline {3.3}Thresholding nonlinearity \& temporal averaging}{15}{}\protected@file@percent } -\@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}, once for the noisy case (solid lines) and once for the noiseless case (dotted lines). Dots indicate $95\,\%$ curve span (noisy case). \textbf {e}:~$\mu _f$ over a range of $\alpha $. \textbf {f}:~$\mu _f$ over the standard deviation of noisy input $x_{\text {adapt}}$ corresponding to the values of $\alpha $ shown in \textbf {e}. }}{16}{}\protected@file@percent } -\newlabel{fig:thresh-lp_single}{{6}{16}{\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}, once for the noisy case (solid lines) and once for the noiseless case (dotted lines). Dots indicate $95\,\%$ curve span (noisy case). \textbf {e}:~$\mu _f$ over a range of $\alpha $. \textbf {f}:~$\mu _f$ over the standard deviation of noisy input $x_{\text {adapt}}$ corresponding to the values of $\alpha $ shown in \textbf {e}. }{}{}} -\@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 }}{17}{}\protected@file@percent } -\newlabel{fig:thresh-lp_species}{{7}{17}{\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 }{}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces \textbf {Step-wise emergence of intensity invariant song representation along the model pathway.} }}{18}{}\protected@file@percent } -\newlabel{fig:pipeline_full}{{8}{18}{\textbf {Step-wise emergence of intensity invariant song representation along the model pathway.} }{}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces \textbf {Step-wise emergence of intensity invariant song representation along the model pathway.} }}{19}{}\protected@file@percent } -\newlabel{fig:pipeline_short}{{9}{19}{\textbf {Step-wise emergence of intensity invariant song representation along the model pathway.} }{}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces \textbf {Inter- and intraspecific feature variability.} }}{20}{}\protected@file@percent } -\newlabel{fig:feat_cross_species}{{10}{20}{\textbf {Inter- and intraspecific feature variability.} }{}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces \textbf {Step-wise emergence of intensity invariant song representation along the model pathway.} }}{21}{}\protected@file@percent } -\newlabel{fig:pipeline_field}{{11}{21}{\textbf {Step-wise emergence of intensity invariant song representation along the model pathway.} }{}{}} -\newlabel{eq:pdf_split}{{15}{22}{}{}{}} -\newlabel{eq:feat_avg}{{16}{22}{}{}{}} -\newlabel{eq:feat_prop}{{17}{22}{}{}{}} +\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}{13}{}{}{}} +\@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}{}{}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Thresholding nonlinearity \& temporal averaging}{16}{}\protected@file@percent } +\@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}, once for the noisy case (solid lines) and once for the noiseless case (dotted lines). Dots indicate $95\,\%$ curve span (noisy case). \textbf {e}:~$\mu _f$ over a range of $\alpha $. \textbf {f}:~$\mu _f$ over the standard deviation of noisy input $x_{\text {adapt}}$ corresponding to the values of $\alpha $ shown in \textbf {e}. }}{17}{}\protected@file@percent } +\newlabel{fig:thresh-lp_single}{{6}{17}{}{}{}} +\@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. }}{18}{}\protected@file@percent } +\newlabel{fig:thresh-lp_species}{{7}{18}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces \textbf {Step-wise emergence of intensity-invariant song representation along the full 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}. }}{19}{}\protected@file@percent } +\newlabel{fig:pipeline_full}{{8}{19}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces \textbf {Step-wise emergence of intensity invariant song representation along the model pathway without logarithmic compression.} 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}. }}{20}{}\protected@file@percent } +\newlabel{fig:pipeline_short}{{9}{20}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {10}{\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 left}:~Distribution of correlation coefficients $\rho $ for each interspecific and intraspecific comparison. 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+\@writefile{toc}{\contentsline {section}{\numberline {5}Conclusions \& outlook}{24}{}\protected@file@percent } +\abx@aux@page{73}{24} +\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces \textbf {} }}{26}{}\protected@file@percent } +\newlabel{fig:app_env-sd}{{12}{26}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces \textbf {} }}{26}{}\protected@file@percent } +\newlabel{fig:app_rect-lp}{{13}{26}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces \textbf {} }}{27}{}\protected@file@percent } +\newlabel{fig:app_log-hp_curves}{{14}{27}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces \textbf {} }}{27}{}\protected@file@percent } +\newlabel{fig:app_log-hp_saturation}{{15}{27}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces \textbf {} }}{28}{}\protected@file@percent } +\newlabel{fig:app_thresh-lp_pure}{{16}{28}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces \textbf {} }}{28}{}\protected@file@percent } +\newlabel{fig:app_thresh-lp_noise}{{17}{28}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces \textbf {} }}{29}{}\protected@file@percent } +\newlabel{fig:app_thresh-lp_kern-sd}{{18}{29}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {19}{\ignorespaces \textbf {} }}{29}{}\protected@file@percent } +\newlabel{fig:app_full_kern-sd}{{19}{29}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {20}{\ignorespaces \textbf {} }}{30}{}\protected@file@percent } +\newlabel{fig:app_short_kern-sd}{{20}{30}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {21}{\ignorespaces \textbf {} }}{30}{}\protected@file@percent } +\newlabel{fig:app_field_kern-sd}{{21}{30}{}{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {22}{\ignorespaces \textbf {} }}{31}{}\protected@file@percent } +\newlabel{fig:app_cross_species_thresh}{{22}{31}{}{}{}} \gdef\svg@ink@ver@settings{{\m@ne }{inkscape}{\m@ne }} -\abx@aux@read@bbl@mdfivesum{9F6C5EB9B092C01D1CB433A0E1BC4A06} -\gdef \@abspage@last{30} +\abx@aux@read@bbl@mdfivesum{1380DC8C93D2855FDB132CC5A40AD52F} +\gdef \@abspage@last{31} diff --git a/main.blg b/main.blg index 7e939ac..b18edff 100644 --- a/main.blg +++ b/main.blg @@ -1,71 +1,71 @@ [0] Config.pm:307> INFO - This is Biber 2.19 [0] Config.pm:310> INFO - Logfile is 'main.blg' -[222] biber-MSWIN64:340> INFO - === -[315] Biber.pm:419> INFO - Reading 'main.bcf' -[506] Biber.pm:979> INFO - Found 55 citekeys in bib section 0 -[534] Biber.pm:4419> INFO - Processing section 0 -[566] Biber.pm:4610> INFO - Looking for bibtex file 'cite.bib' for section 0 -[633] bibtex.pm:1713> INFO - LaTeX decoding ... -[774] bibtex.pm:1519> INFO - Found BibTeX data source 'cite.bib' -[1417] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' -[1417] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' -[1418] Biber.pm:4239> INFO - Sorting list 'nyt/global//global/global' of type 'entry' with template 'nyt' and locale 'en-US' -[1418] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US' -[1556] bbl.pm:660> INFO - Writing 'main.bbl' with encoding 'UTF-8' -[1616] bbl.pm:763> INFO - Output to main.bbl -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 10, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 21, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 38, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 49, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 58, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 73, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 82, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 91, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 100, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 109, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 118, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 127, warning: 6 characters of junk seen at toplevel -[1617] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 136, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 157, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 178, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 187, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 196, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 207, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 218, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 229, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 240, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 249, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 258, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 269, warning: 6 characters of junk seen at toplevel -[1618] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 278, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 289, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 300, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 309, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 328, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 337, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 400, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 419, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 428, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 437, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 456, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 491, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 526, warning: 6 characters of junk seen at toplevel -[1619] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 535, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 556, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 565, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 576, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 587, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 619, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 648, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 658, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 667, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 688, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 709, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 720, warning: 6 characters of junk seen at toplevel -[1620] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 729, warning: 6 characters of junk seen at toplevel -[1621] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 749, warning: 6 characters of junk seen at toplevel -[1621] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 766, warning: 6 characters of junk seen at toplevel -[1621] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 775, warning: 6 characters of junk seen at toplevel -[1621] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 800, warning: 6 characters of junk seen at toplevel -[1621] Biber.pm:131> WARN - BibTeX subsystem: C:\Users\jonah\AppData\Local\Temp\biber_tmp_n7RG\347c261ec4135a5723bef5c751f5078f_20112.utf8, line 817, warning: 6 characters of junk seen at toplevel -[1621] Biber.pm:133> INFO - WARNINGS: 55 +[37] biber:340> INFO - === Mo Mai 4, 2026, 19:48:34 +[45] Biber.pm:419> INFO - Reading 'main.bcf' +[75] 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' +[296] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' +[296] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' +[296] Biber.pm:4239> INFO - Sorting list 'nyt/global//global/global' of type 'entry' with template 'nyt' and locale 'en-US' +[296] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US' +[320] bbl.pm:660> INFO - Writing 'main.bbl' with encoding 'UTF-8' +[331] bbl.pm:763> INFO - Output to main.bbl +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 10, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 21, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 38, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 49, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 58, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 73, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 82, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 91, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 100, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 109, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 118, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 127, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 136, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 157, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 178, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 187, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 196, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 207, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 218, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 229, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 240, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 249, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 258, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 269, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 278, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 289, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 300, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 309, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 328, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 337, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 400, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 419, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 428, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 437, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 456, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 491, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 526, warning: 6 characters of junk seen at toplevel +[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 535, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 556, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 565, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 576, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 587, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 619, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 648, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 658, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 667, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 688, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 709, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 720, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 729, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 749, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 766, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 775, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 800, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_vMHw/347c261ec4135a5723bef5c751f5078f_55959.utf8, line 817, warning: 6 characters of junk seen at toplevel +[332] Biber.pm:133> INFO - WARNINGS: 55 diff --git a/main.fdb_latexmk b/main.fdb_latexmk index 517d734..9038eba 100644 --- a/main.fdb_latexmk +++ b/main.fdb_latexmk @@ -1,180 +1,184 @@ # Fdb version 4 -["biber main"] 1777829759 "main.bcf" "main.bbl" "main" 1777829958 0 - "./cite.bib" 1771664051 28308 4290db0c91f7b5055e25472ef913f6b4 "" - "main.bcf" 1777829957 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex" +["biber main"] 1777916914.1072 "main.bcf" "main.bbl" "main" 1777916953.0495 0 + "cite.bib" 1770904753.08918 27483 4290db0c91f7b5055e25472ef913f6b4 "" + "main.bcf" 1777916952.98174 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex" (generated) "main.bbl" "main.blg" (rewritten before read) -["pdflatex"] 1777829955 "c:/Users/jonah/Desktop/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1777829958 0 - "C:/Users/jonah/AppData/Local/MiKTeX/fonts/map/pdftex/pdftex.map" 1770058784 279778 aa8c8b08a6e6f5b912fcdb1120e47ad8 "" - "C:/Users/jonah/AppData/Local/MiKTeX/miktex/data/le/pdftex/pdflatex.fmt" 1692800637 24120620 9856d41a93bb8d2530a663260e901d35 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1233951848 1004 54797486969f23fa377b128694d548df "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1233951848 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1233951854 916 f87d7c45f9c908e672703b83b72241a3 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1233951854 928 2dc8d444221b7a635bb58038579b861a "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1233951854 908 2921f8a10601f252058503cc6570e581 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1233951854 940 228d6584342e91276bf566bcf9716b83 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmbx10.tfm" 1136765053 1328 c834bbb027764024c09d3d2bf908b5f0 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmbx12.tfm" 1136765053 1324 c910af8c371558dc20f2d7822f66fe64 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmbxti10.tfm" 1136765053 1532 9162035f4e7176612125649e348e2195 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmex10.tfm" 1136765053 992 662f679a0b3d2d53c1b94050fdaa3f50 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmmi10.tfm" 1136765053 1528 abec98dbc43e172678c11b3b9031252a "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmmi12.tfm" 1136765053 1524 4414a8315f39513458b80dfc63bff03a "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmmi6.tfm" 1136765053 1512 f21f83efb36853c0b70002322c1ab3ad "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmmi8.tfm" 1136765053 1520 eccf95517727cb11801f4f1aee3a21b4 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmr10.tfm" 1136765053 1296 45809c5a464d5f32c8f98ba97c1bb47f "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmr12.tfm" 1136765053 1288 655e228510b4c2a1abe905c368440826 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmr17.tfm" 1136765053 1292 296a67155bdbfc32aa9c636f21e91433 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmr6.tfm" 1136765053 1300 b62933e007d01cfd073f79b963c01526 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmr8.tfm" 1136765053 1292 21c1c5bfeaebccffdb478fd231a0997d "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmsy10.tfm" 1136765053 1124 6c73e740cf17375f03eec0ee63599741 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmsy6.tfm" 1136765053 1116 933a60c408fc0a863a92debe84b2d294 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmsy8.tfm" 1136765053 1120 8b7d695260f3cff42e636090a8002094 "" - "C:/Users/jonah/AppData/Local/Programs/MiKTeX/fonts/tfm/public/cm/cmti12.tfm" 1136765053 1484 ed72f8f5cf654cda15ecc8e32bfcbee5 "" - 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(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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Package biblatex Info: Document encoding is UTF8 .... - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/l3kernel\expl3.sty -Package: expl3 2023-08-11 L3 programming layer (loader) - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/l3backend\l3backend-pdftex.def -File: l3backend-pdftex.def 2023-04-19 L3 backend support: PDF output (pdfTeX) -\l__color_backend_stack_int=\count431 + (/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty +Package: expl3 2024-01-22 L3 programming layer (loader) + (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +File: l3backend-pdftex.def 2024-01-04 L3 backend support: PDF output (pdfTeX) +\l__color_backend_stack_int=\count433 \l__pdf_internal_box=\box67 )) Package biblatex Info: ... and expl3 -(biblatex) 2023-08-11 L3 programming layer (loader) +(biblatex) 2024-01-22 L3 programming layer (loader) (biblatex) is new enough (at least 2020/04/06), (biblatex) setting 'casechanger=expl3'. - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/biblatex\blx-case-expl3.sty (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/l3packages/xparse\xparse.sty -Package: xparse 2023-02-02 L3 Experimental document command parser + (/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-case-expl3.sty (/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty +Package: xparse 2023-10-10 L3 Experimental document command parser ) Package: blx-case-expl3 2023/03/05 v3.19 expl3 case changing code for biblatex )) @@ -597,9 +591,9 @@ Package: blx-case-expl3 2023/03/05 v3.19 expl3 case changing code for biblatex Package biblatex Warning: 'babel/polyglossia' detected but 'csquotes' missing. 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Package biblatex Info: ... file 'english.lbx' found. - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/biblatex/lbx\english.lbx + (/usr/share/texlive/texmf-dist/tex/latex/biblatex/lbx/english.lbx File: english.lbx 2023/03/05 v3.19 biblatex localization (PK/MW) ) Package biblatex Info: Trying to load language 'german'... Package biblatex Info: ... file 'german.lbx' found. - (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/biblatex/lbx\german.lbx + (/usr/share/texlive/texmf-dist/tex/latex/biblatex/lbx/german.lbx File: german.lbx 2023/03/05 v3.19 biblatex localization (PK/MW) ) Package biblatex Info: Input encoding 'utf8' detected. @@ -697,15 +691,15 @@ Package biblatex Info: Automatic encoding selection. Package biblatex Info: Trying to load bibliographic data... Package biblatex Info: ... file 'main.bbl' found. - (main.bbl) + (./main.bbl) Package biblatex Info: Reference section=0 on input line 40. Package biblatex Info: Reference segment=0 on input line 40. 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b/main.tex @@ -33,7 +33,7 @@ %\bibstyle %\citation -\title{Emergent intensity invariance in a physiologically inspired model of the grasshopper auditory system} +\title{Emergent intensity invariance vs. signal-to-noise ratio at three consecutive processing stages along the grasshopper song recognition pathway} \author{Jona Hartling, Jan Benda} \date{} @@ -403,7 +403,7 @@ pathway, logarithmic compression is achieved by conversion to decibel scale \db(t)\,=\,20\,\cdot\,\dec \frac{\env(t)}{\dbref}, \qquad \dbref\,=\,1 \label{eq:log} \end{equation} -relative to the maximum intensity $\dbref$ of the signal envelope $\env(t)$. +relative to the common reference intensity $\dbref$. Both the receptor neurons~(\bcite{romer1976informationsverarbeitung}; \bcite{gollisch2004input}; \bcite{fisch2012channel}) and, on a larger scale, the subsequent local interneurons~(\bcite{hildebrandt2009origin}; @@ -555,7 +555,7 @@ can be read out by a simple linear classifier. \end{figure} \FloatBarrier -\section{Two mechanisms driving the emergence of intensity-invariant song representation} +\section{Mechanisms driving the emergence of\\intensity-invariant song representation} % Still missing the SNR analysis. Should be able to write around it for now. The robustness of song recognition is tied to the degree of intensity @@ -573,6 +573,54 @@ specific operations involved, as outlined in the following sections. \subsection{Full-wave rectification \& lowpass filtering} +The first nonlinear transformation along the model pathway is the full-wave +rectification of the tympanal signal $\filt(t)$ during the extraction of the +signal envelope (Eq.\,\ref{eq:env}). Rectification transforms the distribution +of $\filt(t)$ from an approximately zero-centered distribution with both +positive and negative values into a strictly non-negative distribution. Signal +envelope $\env(t)$ is then obtained by lowpass filtering the rectified +$\filt(t)$. The effects of this transformation pair on SNR and potential +intensity invariance were analyzed by rescaling and processing the input signal +$\raw(t)$ and comparing standard deviations between the resulting $\filt(t)$ +and $\env(t)$, once for the noiseless case~(Fig.\,\ref{fig:rect-lp}a) and once +for the noisy case~(Fig.\,\ref{fig:rect-lp}b). In addition, the cutoff +frequency $\fc$ of the lowpass filter was varied to investigate the influence +of different filter bandwidths. In the noiseless case, the standard deviations +of $\filt(t)$ and $\env(t)$ are each reduced compared to the input $\raw(t)$ by +a multiplicative factor. These factors are constant across all $\sca$, which +results in a downward shift of the respective curve on a double-logarithmic +scale, away from the diagonal~(Fig.\,\ref{fig:rect-lp}c). For $\filt(t)$, the +reduction is a consequence of the bandpass filtering~(Eq.\,\ref{eq:bandpass}) +of $\raw(t)$. For $\env(t)$, the standard deviation is further reduced compared +to $\filt(t)$. Rectification contributes much less to this reduction than +lowpass filtering. The degree of reduction by lowpass filtering depends on the +cutoff frequency $\fc$, with lower $\fc$ (narrow bandwidth) resulting in a +stronger reduction. In the noisy case, the standard deviations of $\filt(t)$ +and $\env(t)$ can be related to the respective pure-noise reference standard +deviation~(Fig.\,\ref{fig:rect-lp}d). This causes each curve to start with a +constant regime of SNR values near 1 for smaller $\sca$, which reflects the +dominance of the noise component $\noc(t)$ over the song component $\soc(t)$ in +the input $\raw(t)$. For larger $\sca$, all curves transition into a regime of +linearly increasing SNR on a double-logarithmic scale. For $\filt(t)$, the +linear part of the curve deviates only slightly from the diagonal. For +$\env(t)$, however, the transition occurs at lower $\sca$ compared to +$\filt(t)$, and the linear part of the curve is shifted leftward away from the +diagonal, which means that higher SNR values are achieved for the same $\sca$. +This effect is more pronounced for lower $\fc$ of the lowpass filter and is +presumably caused by the attenuation of high-frequency components in the +signal, which are more prominent in the noise component $\noc(t)$ than in the +song component $\soc(t)$. The effect also appears relatively consistent across +different species, although small variations based on different song structures +and distributions exist~(Fig.\,\ref{fig:rect-lp}e). In summary, the standard +deviation of $\env(t)$ has never been observed to transition into a saturation +regime for larger $\sca$ but rather continues to increase proportionally to +$\sca$ for all tested $\fc$, in both the noiseless and the noisy case and +across different species. Consequently, the combination of rectification and +lowpass filtering does not contribute to intensity invariance. However, this +transformation pair does improve the SNR of $\env(t)$ relative to $\filt(t)$ +and thus provides subsequent processing stages with a more robust input +representation and higher input SNR. + \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_invariance_rect_lp.pdf} @@ -605,73 +653,113 @@ specific operations involved, as outlined in the following sections. \subsection{Logarithmic compression \& spike-frequency adaptation} -The first notable emergence of intensity invariance along the model pathway -occurs during the transformation of the signal envelope $\env(t)$ into the -logarithmically scaled envelope $\db(t)$ and then into the intensity-adapted -envelope $\adapt(t)$. In order to disentangle the interplay of logarithmic -compression and adaptation, $\env(t)$ can be rewritten as a synthetic mixture +The second nonlinear transformation along the model pathway is the logarithmic +compression of the signal envelope $\env(t)$ into $\db(t)$, Eq.\,\ref{eq:log}, +which is then followed by the highpass filtering of $\db(t)$, +Eq.\,\ref{eq:highpass}, to obtain the intensity-adapted envelope $\adapt(t)$. +The interplay of this transformation pair was analyzed by rescaling and +processing the input signal $\filt(t)$ and comparing standard deviations +between the resulting $\env(t)$, $\db(t)$, and $\adapt(t)$. It is necessary to +use $\filt(t)$ as input for this analysis instead of $\env(t)$, because +$\env(t)$ results from a nonlinear transformation and hence cannot be +synthesized as an additive mixture of song component $\soc(t)$ and noise +component $\noc(t)$. % <-- Sentence may be methods section material. +However, it is much easier to conceive a mathematical description of the +effects of logarithmic compression and adaptation if $\env(t)$ itself is +assumed to be composed of $\soc(t)$ and $\noc(t)$. In the noiseless +case~(Fig.\,\ref{fig:log-hp}a), $\env(t)$ takes the form of +\begin{equation} + \env(t)\,=\,\sca\,\cdot\,\soc(t), \qquad \env(t)\,>\,0\enspace\forall\enspace t\,\in\,\mathbb{R} + \label{eq:toy_env_pure} +\end{equation} +The standard deviation of $\env(t)$ increases linearly with $\sca$ on a +double-logarithmic scale and is slightly reduced~(Fig.\,\ref{fig:log-hp}c) +compared to the input $\filt(t)$, which is consistent with the results of the +previous analysis~(Fig.\,\ref{fig:rect-lp}c). By conversion of $\env(t)$ to +decibel scale, $\sca$ turns from a multiplicative scale in linear space into an +additive term, or offset, in logarithmic space: +\begin{equation} + \db(t)\,=\,20\,\cdot\,\dec \left[\,\sca\,\cdot\,s(t)\,\right]\,=\,20\,\cdot\,\left[\dec \sca\,+\,\dec s(t)\right], \qquad \sca\,>\,0 + \label{eq:toy_log_pure} +\end{equation} +The highpass filtering of $\db(t)$ can be approximated as a subtraction of the +local signal offset within a suitable time interval $0 \ll \thp < +\frac{1}{\fc}$: +\begin{equation} + \begin{split} + \adapt(t)\,\approx\,\db(t)\,-\,20\,\cdot\,\dec \sca\,=\,20\,\cdot\,\dec s(t) + \end{split} + \label{eq:toy_highpass_pure} +\end{equation} +This eliminates $\sca$ from $\adapt(t)$ and thus renders it perfectly +intensity-invariant, with a constant standard deviation of around 10\,dB across +all $\sca>0$~(Fig.\,\ref{fig:log-hp}c). In contrast, in the noisy +case~(Fig.\,\ref{fig:log-hp}b), $\env(t)$ takes the form of \begin{equation} \env(t)\,=\,\sca\,\cdot\,\soc(t)\,+\,\noc(t), \qquad \env(t)\,>\,0\enspace\forall\enspace t\,\in\,\mathbb{R} - \label{eq:toy_env} + \label{eq:toy_env_noise} \end{equation} -of a song component $\soc(t)$ with variable multiplicative scale $\sca\geq0$ -and a fixed-scale noise component $\noc(t)$. Both $\soc(t)$ and $\noc(t)$ are -assumed to have unit variance. By conversion of $\env(t)$ to decibel -scale~(Eq.\,\ref{eq:log}), $\sca$ turns from a multiplicative scale in linear -space into an additive term, or offset, in logarithmic space +Similar to the previous analysis~(Fig.\,\ref{fig:rect-lp}d), the ratio of the +standard deviation of $\env(t)$ to its pure-noise reference standard deviation +on a double-logarithmic scale follows a constant regime for small $\sca$ and a +linearly increasing regime for larger $\sca$~(Fig.\,\ref{fig:log-hp}d). Decibel +conversion of $\env(t)$ % \begin{equation} % \begin{split} -% \db(t)\,&=\,\dec \frac{\alpha\,\cdot\,s(t)\,+\,\eta(t)}{\dbref}\\ -% &=\,\dec \frac{\alpha}{\dbref}\,+\,\dec \left[s(t)\,+\,\frac{\eta(t)}{\alpha}\right], \qquad \sca\,>\,0 +% \db(t)\,&=\,20\,\cdot\,\dec \left[\,\sca\,\cdot\,s(t)\,+\,\eta(t)\,\right]\\ +% &=\,20\,\cdot\,\left(\dec \sca\,+\,\dec \left[s(t)\,+\,\frac{\eta(t)}{\sca}\right]\right), \qquad \sca\,>\,0 % \end{split} -% \label{eq:toy_log} +% \label{eq:toy_log_noise} % \end{equation} \begin{equation} - \begin{split} - \db(t)\,&=\,20\,\cdot\,\dec \left[\,\sca\,\cdot\,s(t)\,+\,\eta(t)\,\right]\\ - &=\,20\,\cdot\,\left(\dec \sca\,+\,\dec \left[s(t)\,+\,\frac{\eta(t)}{\sca}\right]\right), \qquad \sca\,>\,0 - \end{split} - \label{eq:toy_log} + \db(t)\,=\,20\,\cdot\,\left(\dec \sca\,+\,\dec \left[s(t)\,+\,\frac{\eta(t)}{\sca}\right]\right), \qquad \sca\,>\,0 + \label{eq:toy_log_noise} +\end{equation} +allows for the separation of $\sca$ from $\soc(t)$ but introduces a scaling of +$\noc(t)$ by the inverse of $\sca$, which remains present even after the offset +subtraction: +\begin{equation} + \begin{split} + \adapt(t)\,\approx\,20\,\cdot\,\dec\left[s(t)\,+\,\frac{\eta(t)}{\sca}\right] + \end{split} + \label{eq:toy_highpass_noise} \end{equation} -which allows for its separation from $\soc(t)$ but introduces a scaling of -$\noc(t)$ by the inverse of $\sca$. The subsequent -highpass filtering~(Eq.\,\ref{eq:highpass}) of $\db(t)$ can then be -approximated as a subtraction of the local offset within a suitable time -interval $0 \ll \thp < \frac{1}{\fc}$: % \begin{equation} % \begin{split} -% \adapt(t)\,\approx\,\db(t)\,-\,\dec \frac{\sca}{\dbref}\,=\,\dec\left[s(t)\,+\,\frac{\eta(t)}{\sca}\right], \qquad \sca\,>\,0 +% \adapt(t)\,\approx\,\db(t)\,-\,20\,\cdot\,\dec \sca\,=\,20\,\cdot\,\dec\left[s(t)\,+\,\frac{\eta(t)}{\sca}\right] % \end{split} -% \label{eq:toy_highpass} +% \label{eq:toy_highpass_noise} % \end{equation} -\begin{equation} - \begin{split} - \adapt(t)\,\approx\,\db(t)\,-\,20\,\cdot\,\dec \sca\,=\,20\,\cdot\,\dec\left[s(t)\,+\,\frac{\eta(t)}{\sca}\right], \qquad \sca\,>\,0 - \end{split} - \label{eq:toy_highpass} -\end{equation} -This means that $\sca$ cannot be entirely eliminated from $\adapt(t)$, only -redistributed between $\soc(t)$ and $\noc(t)$. In consequence, if $\sca$ is -sufficiently large ($\sca\gg1$), $\noc(t)$ is attenuated to the point of being -negligible, so that $\adapt(t)$ represents $\soc(t)$ in a scale-free manner. If -$\soc(t)$ and $\noc(t)$ are at similar scales ($\sca\approx1$), $\adapt(t)$ -largely resembles $\db(t)$. However, if $\sca$ is sufficiently small -($\sca\ll1$), $\noc(t)$ masks $\soc(t)$ even after the intensity adaptation. -Therefore, the effective intensity invariance of $\adapt(t)$ relative to -$\env(t)$ is limited by the initial scaling of $\soc(t)$ relative to $\noc(t)$; -that is, the signal-to-noise ratio (SNR) of $\env(t)$ with ($\sca>0$) and -without ($\sca=0$) song component $\soc(t)$ -\begin{equation} - \text{SNR}(\sca)\,=\,\frac{\xvar}{\nvar}\,=\,\frac{\alpha^{2}\,\cdot\,\svar\,+\,\nvar}{\nvar}\,=\,\alpha^{2}\,+\,1, \qquad \svar\,=\,\nvar\,=\,1 - \label{eq:toy_snr} -\end{equation} -which depends quadratically on $\sca$ if $\soc(t)\perp\noc(t)$. Overall, the -combination of logarithmic compression and adaptation allows for the -equalization of different sufficiently large song scales, which is essential -for intensity-invariant song representation. However, this mechanism is unable -to recover songs that have already sunken below the noise floor, which -emphasizes the importance of a sufficiently high SNR at the intial reception of -the signal for reliable song recognition. +This means that, in the noisy case, $\sca$ cannot be entirely eliminated from +$\adapt(t)$, only redistributed between $\soc(t)$ and $\noc(t)$. If $\sca$ is +sufficiently large ($\sca\gg1$, saturation regime), $\noc(t)$ is attenuated to +the point of being negligible, so that $\adapt(t)$ is a scale-free +representation of $\soc(t)$. If $\sca$ and $\noc(t)$ are at similar scales +($\sca\approx1$, transient regime), $\adapt(t)$ largely resembles $\db(t)$. +Finally, if $\sca$ is sufficiently small ($0<\sca\ll1$, noise regime), +$\noc(t)$ masks $\soc(t)$ even after the intensity adaptation. Accordingly, the +effective intensity invariance of $\adapt(t)$ through logarithmic compression +and adaptation is limited by the SNR of $\env(t)$: Songs that have already +sunken into the noise floor at the level of $\env(t)$ cannot be recovered by +subsequent processing steps, which emphasizes the importance of the SNR +improvement by rectification and lowpass filtering during the previous +processing step~(Fig.\,\ref{fig:rect-lp}d). The general pattern of noise +regime, transient regime, and saturation regime remains consistent across +different species~(Fig.\,\ref{fig:log-hp}e). However, the specific value of +$\sca$ at which the saturation regime is reached (see appendix +Fig.\,\ref{fig:app_log-hp_saturation}) and the maximum SNR value of $\adapt(t)$ +within the saturation regime vary considerably between and within species. For +example, \textit{C. biguttulus} and \textit{C. mollis} display a noticably +lower maximum SNR of $\adapt(t)$ compared to other species. These differences +are not to be underestimated, since the SNR of $\adapt(t)$ within the +saturation regime determines the maximum input SNR for subsequent processing +steps. In other words, the fact that $\adapt(t)$ eventually reaches a +saturation regime is, of course, desirable in the context of intensity +invariance, but it also means to pass up on the higher SNR values that are +achieved by $\env(t)$ for the same $\sca$ (up to several orders of magnitude, +Fig.\,\ref{fig:log-hp}d). This trade-off between intensity invariance and SNR +--- and the consequences it has further downstream along the pathway --- are +adressed in the following sections. \begin{figure}[!ht] \centering @@ -744,30 +832,6 @@ the signal for reliable song recognition. \end{figure} \FloatBarrier - -% \caption{\textbf{Rectification and lowpass filtering improves SNR -% but does not contribute to intensity invariance.} -% Input $\raw(t)$ consists of song component $\soc(t)$ scaled by -% $\sca$ with optional noise component $\noc(t)$ and is -% successively transformed into tympanal signal $\filt(t)$ and -% envelope $\env(t)$. Different line styles indicate different -% cutoff frequencies $\fc$ of the lowpass filter extracting -% $\env(t)$. -% \textbf{Top}:~Example representations of $\filt(t)$ and -% $\env(t)$ for different $\sca$. -% \textbf{a}:~Noiseless case. -% \textbf{b}:~Noisy case. -% \textbf{Bottom}:~Intensity metrics over a range of $\sca$. -% \textbf{c}:~Noiseless case: Standard deviations of $\filt(t)$ -% and $\env(t)$. -% \textbf{d}:~Noisy case: Ratios of standard deviations of -% $\filt(t)$ and $\env(t)$ to the respective reference standard -% deviation for input $\raw(t)=\noc(t)$. -% \textbf{e}:~Ratios of standard deviations of $\env(t)$ as in -% \textbf{b} for different species (averaged over songs and -% recordings, see appendix Fig.\,\ref{fig:app_rect-lp}). -% } - \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_invariance_thresh_lp_species.pdf} @@ -796,17 +860,67 @@ the signal for reliable song recognition. curve span of the norm across all three $\mu_{f_i}$ per species. \textbf{d}:~Noiseless case. - \textbf{e}:~Noisy case. Shaded areas + \textbf{e}:~Noisy case. Shaded areas indicate the average + minimum $\mu_{f_i}$ across all species-specific trajectories. } \label{fig:thresh-lp_species} \end{figure} \FloatBarrier - +% \caption{\textbf{Rectification and lowpass filtering improves SNR +% but does not contribute to intensity invariance.} +% Input $\raw(t)$ consists of song component $\soc(t)$ scaled by +% $\sca$ with optional noise component $\noc(t)$ and is +% successively transformed into tympanal signal $\filt(t)$ and +% envelope $\env(t)$. Different line styles indicate different +% cutoff frequencies $\fc$ of the lowpass filter extracting +% $\env(t)$. +% \textbf{Top}:~Example representations of $\filt(t)$ and +% $\env(t)$ for different $\sca$. +% \textbf{a}:~Noiseless case. +% \textbf{b}:~Noisy case. +% \textbf{Bottom}:~Intensity metrics over a range of $\sca$. +% \textbf{c}:~Noiseless case: Standard deviations of $\filt(t)$ +% and $\env(t)$. +% \textbf{d}:~Noisy case: Ratios of standard deviations of +% $\filt(t)$ and $\env(t)$ to the respective reference standard +% deviation for input $\raw(t)=\noc(t)$. +% \textbf{e}:~Ratios of standard deviations of $\env(t)$ as in +% \textbf{b} for different species (averaged over songs and +% recordings, see appendix Fig.\,\ref{fig:app_rect-lp}). +% } \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_invariance_full_Omocestus_rufipes.pdf} - \caption{\textbf{Step-wise emergence of intensity invariant song - representation along the model pathway.} + \caption{\textbf{Step-wise emergence of intensity-invariant song + representation along the full model pathway.} + Input $\raw(t)$ consists of song component $\soc(t)$ + scaled by $\sca$ with added noise component $\noc(t)$ and + is processed up to the feature set $f_i(t)$. Different + color shades indicate different types of Gabor kernels + with specific lobe number $\kn$ and either $+$ or $-$ + sign, sorted (dark to light) first by increasing $\kn$ and + then by sign~($1\,\leq\,\kn\,\leq\,4$; first $+$, then $-$ + for each $\kn$; five kernel widths $\kw$ of 1, 2, 4, 8, + and $16\,$ms per type; 8 types, 40 kernels in total). + \textbf{a}:~Example representations of $\filt(t)$, + $\env(t)$, $\db(t)$, $\adapt(t)$, $c_i(t)$, and $f_i(t)$ + for different $\sca$. + \textbf{b}:~Intensity metrics over $\sca$. For $c_i(t)$ + and $f_i(t)$, the median over kernels is shown. Dots + indicate $95\,\%$ curve span for $\db(t)$, $\adapt(t)$, + $c_i(t)$, and $f_i(t)$. + \textbf{c}:~Average value $\mu_{f_i}$ of each feature + $f_i(t)$ over $\sca$. + \textbf{d}:~Ratios of intensity metrics to the respective + reference value for input $\raw(t)=\noc(t)$. 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 $\sca$ that + correspond to $95\,\%$ curve span for $c_i(t)$ and + $f_i(t)$. Dots indicate the values from \textbf{b}. } \label{fig:pipeline_full} \end{figure} @@ -816,7 +930,34 @@ the signal for reliable song recognition. \centering \includegraphics[width=\textwidth]{figures/fig_invariance_short_Omocestus_rufipes.pdf} \caption{\textbf{Step-wise emergence of intensity invariant song - representation along the model pathway.} + representation along the model pathway without logarithmic + compression.} + Input $\raw(t)$ consists of song component $\soc(t)$ + scaled by $\sca$ with added noise component $\noc(t)$ and + is processed up to the feature set $f_i(t)$, skipping + $\db(t)$. Different color shades indicate different types + of Gabor kernels with specific lobe number $\kn$ and + either $+$ or $-$ sign, sorted (dark to light) first by + increasing $\kn$ and then by + sign~($1\,\leq\,\kn\,\leq\,4$; first $+$, then $-$ for + each $\kn$; five kernel widths $\kw$ of 1, 2, 4, 8, and + $16\,$ms per type; 8 types, 40 kernels in total). + \textbf{a}:~Example representations of $\filt(t)$, + $\env(t)$, $\adapt(t)$, $c_i(t)$, and $f_i(t)$ for + different $\sca$. + \textbf{b}:~Intensity metrics over $\sca$. 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 $\sca$. + \textbf{d}:~Ratios of intensity metrics to the respective + reference value for input $\raw(t)=\noc(t)$. 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 $\sca$ that + correspond to $95\,\%$ curve span for $f_i(t)$. Dots + indicate the value from \textbf{b}. } \label{fig:pipeline_short} \end{figure} @@ -825,7 +966,28 @@ the signal for reliable song recognition. \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_features_cross_species.pdf} - \caption{\textbf{Inter- and intraspecific feature variability.} + \caption{\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 $\raw(t)$. 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 $\kn$ and either $+$ or $-$ sign, + sorted (dark to light) first by increasing $\kn$ and then + by sign~($1\,\leq\,\kn\,\leq\,4$; first $+$, then $-$ for + each $\kn$; five kernel widths $\kw$ 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 left}:~Distribution of correlation + coefficients $\rho$ for each interspecific and + intraspecific comparison. Dots indicate single $\rho$ + values. } \label{fig:feat_cross_species} \end{figure} diff --git a/python/fig_invariance_full.py b/python/fig_invariance_full.py index aba2d81..50cd4f4 100644 --- a/python/fig_invariance_full.py +++ b/python/fig_invariance_full.py @@ -164,7 +164,7 @@ ylabels = dict( conv='$c_i$\n$[\\text{dB}]$', feat='$f_i$', raw=['$m$', '$\\mu_{f_i}$'], - base=['$m\\,/\\,m_{\\eta}$', '$\\sigma_{c_i}$', '$\\mu_{f_i}$', '$\\text{PDF}_{\\alpha}$'] + base=['$m\\,/\\,m_{\\eta}$', '$\\sigma_{c_i}\\,/\\,\\sigma_{\\eta_i}$', '$\\mu_{f_i}\\,/\\,\\mu_{\\eta_i}$', '$\\text{PDF}_{\\alpha}$'] ) xlab_big_kwargs = dict( y=0, diff --git a/python/fig_invariance_rect-lp.py b/python/fig_invariance_rect-lp.py index c3e5178..847d00f 100644 --- a/python/fig_invariance_rect-lp.py +++ b/python/fig_invariance_rect-lp.py @@ -57,7 +57,7 @@ snip_cutoff = np.array([np.nan, 2500, 250, 25])[2] # GRAPH SETTINGS: fig_kwargs = dict( - figsize=(32/2.54, 32/2.54), + figsize=(32/2.54, 20/2.54), ) super_grid_kwargs = dict( nrows=3, @@ -68,7 +68,7 @@ super_grid_kwargs = dict( right=1, bottom=0, top=1, - height_ratios=[1, 1, 1] + height_ratios=[1, 1, 2] ) subfig_specs = dict( pure=(0, slice(None)), diff --git a/python/fig_invariance_short.py b/python/fig_invariance_short.py index 1f31e83..f25c1cd 100644 --- a/python/fig_invariance_short.py +++ b/python/fig_invariance_short.py @@ -162,7 +162,7 @@ ylabels = dict( conv='$c_i$\n$[\\text{dB}]$', feat='$f_i$', raw=['$m$', '$\\mu_{f_i}$'], - base=['$m\\,/\\,m_{\\eta}$', '$\\mu_{f_i}$', '$\\text{PDF}_{\\alpha}$'] + base=['$m\\,/\\,m_{\\eta}$', '$\\mu_{f_i}\\,/\\,\\mu_{\\eta_i}$', '$\\text{PDF}_{\\alpha}$'] ) xlab_big_kwargs = dict( y=0, diff --git a/python/save_inv_data_full.py b/python/save_inv_data_full.py index fe5ff0e..f1d99ac 100644 --- a/python/save_inv_data_full.py +++ b/python/save_inv_data_full.py @@ -1,3 +1,5 @@ +import gc +import copy import numpy as np from thunderhopper.modeltools import load_data, save_data from thunderhopper.filetools import search_files, crop_paths @@ -16,7 +18,7 @@ target_species = [ # 'Gomphocerippus_rufus', # 'Omocestus_rufipes', # 'Pseudochorthippus_parallelus', -][1] +][0] example_file = { 'Chorthippus_biguttulus': 'Chorthippus_biguttulus_GBC_94-17s73.1ms-19s977ms', 'Chorthippus_mollis': 'Chorthippus_mollis_DJN_41_T28C-46s4.58ms-1m15s697ms', @@ -110,8 +112,8 @@ for data_path, name in zip(data_paths, crop_paths(data_paths)): scaled = song * scale + noise # Process mixture (excluding features): - signals, rates = process_signal(config, returns=pre_stages, - signal=scaled, rate=rate) + signals, _ = process_signal(config, returns=pre_stages, + signal=scaled, rate=rate) # Store non-feature results: for stage in pre_stages: # Log intensity measures: @@ -120,12 +122,16 @@ for data_path, name in zip(data_paths, crop_paths(data_paths)): # Log optional snippet data: if save_detailed and scale in example_scales: scale_ind = np.nonzero(example_scales == scale)[0][0] - snippets[f'snip_{stage}'][:, ..., scale_ind] = signals[stage] + snippets[f'snip_{stage}'][:, ..., scale_ind] = copy.deepcopy(signals[stage]) + + conv = copy.deepcopy(signals['conv']) + del scaled, signals + gc.collect() # Execute piecewise again: for j, thresholds in enumerate(thresh_abs): # Finalize processing: - feat = sosfilter((signals['conv'] > thresholds).astype(float), + feat = sosfilter((conv > thresholds).astype(float), rate, config['feat_fcut'], 'lp', padtype='fixed', padlen=config['padlen']) @@ -134,19 +140,27 @@ for data_path, name in zip(data_paths, crop_paths(data_paths)): # Log optional snippet data: if save_detailed and scale in example_scales: - snippets['snip_feat'][:, :, scale_ind, j] = feat + snippets['snip_feat'][:, :, scale_ind, j] = copy.deepcopy(feat) + + del feat + gc.collect() # Save analysis results: if save_path is not None: - data = dict( + archive = dict( scales=scales, example_scales=example_scales, thresh_rel=thresh_rel, thresh_abs=thresh_abs, ) - data.update(measures) + archive.update(measures) if save_detailed: - data.update(snippets) - save_data(save_path + name, data, config, overwrite=True) + archive.update(snippets) + save_data(save_path + name, archive, config, overwrite=True) + del archive + del measures, data, config, conv + if save_detailed: + del snippets + gc.collect() print('Done.') embed()