diff --git a/main.aux b/main.aux index 859be0e..535e41b 100644 --- a/main.aux +++ b/main.aux @@ -195,9 +195,9 @@ \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 song recognition pathway in grasshoppers compared to the 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 the different signal representations and transformations along the model pathway. All representations are time-varying. 1st half: Preprocessing stage (one-dimensional). 2nd half: Feature extraction stage (high-dimensional). }}{6}{}\protected@file@percent } +\@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. 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All representations are time-varying. 1st half: Preprocessing stage~(one-dimensional representation). 2nd half: Feature extraction stage~(high-dimensional representation). }{}{}} \abx@aux@cite{0}{suga1960peripheral} \abx@aux@segm{0}{0}{suga1960peripheral} \abx@aux@cite{0}{gollisch2002energy} @@ -222,8 +222,8 @@ \abx@aux@page{68}{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. \textbf {b}:~Signal envelope. \textbf {c}:~Logarithmically scaled envelope. \textbf {d}:~Intensity-adapted envelope. }}{8}{}\protected@file@percent } -\newlabel{fig:pre}{{2}{8}{}{}{}} +\@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 $x_{\text {adapt}}(t)$. }{}{}} \@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 +234,68 @@ \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}{}{}{}} +\newlabel{tab:gabor_phases}{{1}{9}{Values of phase $\phi $ that are specific for the four major groups of Gabor kernels.}{}{}} \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 colors indicate Gabor kernels with different lobe number $n$ and sign, with lighter colors for higher $n$~($1\,\leq \,n\,\leq \,4$; both $+$ and $-$ per $n$; two kernel widths $\sigma $ of $4\,$ms and $32\,$ms per sign). \textbf {a}:~Kernel-specific filter responses. \textbf {b}:~Binary responses. \textbf {c}:~Finalized features. }}{10}{}\protected@file@percent } -\newlabel{fig:stages_feat}{{3}{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 } \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Full-wave rectification \& lowpass filtering}{11}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \textbf {Intensity invariance by logarithmic compression and adaptation is restricted by the noise floor.} Synthetic input $x_{\text {filt}}(t)$ consists of song component $s(t)$ scaled by $\alpha $ with (\textbf {c}{} and \textbf {d}) or without (\textbf {a}{} and \textbf {b}) additive noise component $\eta (t)$. 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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). 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Different color shades indicate different threshold values $\Theta $ (multiples of reference standard deviation $\sigma _{\eta }$ of $c(t)$ for input $x_{\text {adapt}}(t)=\eta (t)$, with darker colors for higher $\Theta $). \textbf {Left}:~Noisy case: Example representations of $x_{\text {adapt}}(t)$ as well as $c(t)$, $b(t)$, and $f(t)$ for different $\alpha $. \textbf {a}:~$x_{\text {adapt}}(t)$ with kernel $k(t)$ in black. \textbf {b\,-\,d}: $c(t)$, $b(t)$, and $f(t)$ based on the same $x_{\text {adapt}}(t)$ from \textbf {a} but with different $\Theta $. \textbf {Right}:~Average value $\mu _f$ of $f(t)$ for each $\Theta $ from \textbf {b\,-\,d}, 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. 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\textbf {} }}{25}{}\protected@file@percent } +\newlabel{fig:app_rect-lp}{{13}{25}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces \textbf {} }}{26}{}\protected@file@percent } +\newlabel{fig:app_log-hp_curves}{{14}{26}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces \textbf {} }}{26}{}\protected@file@percent } +\newlabel{fig:app_log-hp_saturation}{{15}{26}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces \textbf {} }}{27}{}\protected@file@percent } +\newlabel{fig:app_thresh-lp_pure}{{16}{27}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces \textbf {} }}{27}{}\protected@file@percent } +\newlabel{fig:app_thresh-lp_noise}{{17}{27}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces \textbf {} }}{28}{}\protected@file@percent } +\newlabel{fig:app_thresh-lp_kern-sd}{{18}{28}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {19}{\ignorespaces \textbf {} }}{28}{}\protected@file@percent } +\newlabel{fig:app_full_kern-sd}{{19}{28}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {20}{\ignorespaces \textbf {} }}{29}{}\protected@file@percent } +\newlabel{fig:app_short_kern-sd}{{20}{29}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {21}{\ignorespaces \textbf {} }}{29}{}\protected@file@percent } +\newlabel{fig:app_field_kern-sd}{{21}{29}{\textbf {} }{}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {22}{\ignorespaces \textbf {} }}{30}{}\protected@file@percent } +\newlabel{fig:app_cross_species_thresh}{{22}{30}{\textbf {} }{}{}} \gdef\svg@ink@ver@settings{{\m@ne }{inkscape}{\m@ne }} -\abx@aux@read@bbl@mdfivesum{1380DC8C93D2855FDB132CC5A40AD52F} -\gdef \@abspage@last{29} +\abx@aux@read@bbl@mdfivesum{9F6C5EB9B092C01D1CB433A0E1BC4A06} +\gdef \@abspage@last{30} diff --git a/main.blg b/main.blg index fabcb97..7e939ac 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' -[37] biber:340> INFO - === Mo Apr 27, 2026, 18:08:28 -[46] Biber.pm:419> INFO - Reading 'main.bcf' -[76] Biber.pm:979> INFO - Found 55 citekeys in bib section 0 -[82] Biber.pm:4419> INFO - Processing section 0 -[87] Biber.pm:4610> INFO - Looking for bibtex file 'cite.bib' for section 0 -[89] bibtex.pm:1713> INFO - LaTeX decoding ... -[118] bibtex.pm:1519> INFO - Found BibTeX data source 'cite.bib' -[297] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' -[297] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' -[297] Biber.pm:4239> INFO - Sorting list 'nyt/global//global/global' of type 'entry' with template 'nyt' and locale 'en-US' -[297] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US' -[321] 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_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 10, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 21, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 38, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 49, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 58, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 73, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 82, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 91, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 100, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 109, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 118, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 127, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 136, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 157, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 178, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 187, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 196, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 207, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 218, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 229, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 240, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 249, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 258, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 269, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 278, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 289, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 300, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 309, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 328, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 337, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 400, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 419, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 428, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 437, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 456, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 491, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 526, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 535, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 556, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 565, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 576, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 587, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 619, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 648, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 658, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 667, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 688, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 709, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 720, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 729, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 749, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 766, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 775, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 800, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_eYMb/347c261ec4135a5723bef5c751f5078f_210824.utf8, line 817, warning: 6 characters of junk seen at toplevel -[332] Biber.pm:133> INFO - WARNINGS: 55 +[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 diff --git a/main.fdb_latexmk b/main.fdb_latexmk index 43c61d3..517d734 100644 --- a/main.fdb_latexmk +++ b/main.fdb_latexmk @@ -1,182 +1,180 @@ # Fdb version 4 -["biber main"] 1777306108.0762 "main.bcf" "main.bbl" "main" 1777567481.8645 0 - "cite.bib" 1770904753.08918 27483 4290db0c91f7b5055e25472ef913f6b4 "" - "main.bcf" 1777567481.78663 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex" +["biber main"] 1777829759 "main.bcf" "main.bbl" "main" 1777829958 0 + "./cite.bib" 1771664051 28308 4290db0c91f7b5055e25472ef913f6b4 "" + "main.bcf" 1777829957 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex" (generated) "main.bbl" "main.blg" (rewritten before read) -["pdflatex"] 1777567480.79243 "/home/hartling/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1777567481.86472 0 - "/etc/texmf/web2c/texmf.cnf" 1761560044.43676 475 c0e671620eb5563b2130f56340a5fde8 "" - "/home/hartling/phd/paper/paper_2025/main.tex" 1777567479.54365 53364 8ab5e99e5257328c6078e2b9baba5f64 "" - "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1246382020 916 f87d7c45f9c908e672703b83b72241a3 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1246382020 928 2dc8d444221b7a635bb58038579b861a "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1246382020 908 2921f8a10601f252058503cc6570e581 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1246382020 940 228d6584342e91276bf566bcf9716b83 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm" 1136768653 1328 c834bbb027764024c09d3d2bf908b5f0 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm" 1136768653 1324 c910af8c371558dc20f2d7822f66fe64 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbxti10.tfm" 1136768653 1532 9162035f4e7176612125649e348e2195 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmex10.tfm" 1136768653 992 662f679a0b3d2d53c1b94050fdaa3f50 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi10.tfm" 1136768653 1528 abec98dbc43e172678c11b3b9031252a "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm" 1136768653 1524 4414a8315f39513458b80dfc63bff03a "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm" 1136768653 1512 f21f83efb36853c0b70002322c1ab3ad "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm" 1136768653 1520 eccf95517727cb11801f4f1aee3a21b4 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr10.tfm" 1136768653 1296 45809c5a464d5f32c8f98ba97c1bb47f "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1136768653 1288 655e228510b4c2a1abe905c368440826 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm" 1136768653 1292 296a67155bdbfc32aa9c636f21e91433 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr6.tfm" 1136768653 1300 b62933e007d01cfd073f79b963c01526 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr8.tfm" 1136768653 1292 21c1c5bfeaebccffdb478fd231a0997d "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm" 1136768653 1124 6c73e740cf17375f03eec0ee63599741 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm" 1136768653 1116 933a60c408fc0a863a92debe84b2d294 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm" 1136768653 1120 8b7d695260f3cff42e636090a8002094 "" - "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti12.tfm" 1136768653 1484 ed72f8f5cf654cda15ecc8e32bfcbee5 "" - "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb" 1248133631 34811 78b52f49e893bcba91bd7581cdc144c0 "" - "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1248133631 32080 340ef9bf63678554ee606688e7b5339d "" - "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb" 1248133631 36554 b67dc2cfa451409e100b3fcf5f506509 "" - "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb" 1248133631 30251 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(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty + (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks28 \ex@=\dimen163 -)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen164 -) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) -\inf@bad=\count275 +\inf@bad=\count273 LaTeX Info: Redefining \frac on input line 234. -\uproot@=\count276 -\leftroot@=\count277 +\uproot@=\count274 +\leftroot@=\count275 LaTeX Info: Redefining \overline on input line 399. LaTeX Info: Redefining \colon on input line 410. -\classnum@=\count278 -\DOTSCASE@=\count279 +\classnum@=\count276 +\DOTSCASE@=\count277 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=\count280 +\macc@depth=\count278 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=\count281 +\c@MaxMatrixCols=\count279 \dotsspace@=\muskip16 -\c@parentequation=\count282 -\dspbrk@lvl=\count283 +\c@parentequation=\count280 +\dspbrk@lvl=\count281 \tag@help=\toks29 -\row@=\count284 -\column@=\count285 -\maxfields@=\count286 +\row@=\count282 +\column@=\count283 +\maxfields@=\count284 \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. -) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/amsfonts\amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols - (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty + (C:\Users\jonah\AppData\Local\Programs\MiKTeX\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. -)) (/usr/share/texlive/texmf-dist/tex/latex/caption/subcaption.sty +)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/caption\subcaption.sty Package: subcaption 2023/07/28 v1.6b Sub-captions (AR) - (/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 + (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 Package: caption3 2023/07/31 v2.4d caption3 kernel (AR) \caption@tempdima=\dimen172 \captionmargin=\dimen173 @@ -275,58 +275,64 @@ Package: caption3 2023/07/31 v2.4d caption3 kernel (AR) \caption@hangindent=\dimen179 Package caption Info: Standard document class detected. ) -\c@caption@flags=\count287 -\c@continuedfloat=\count288 +\c@caption@flags=\count285 +\c@continuedfloat=\count286 Package caption Info: float package is loaded. ) Package caption Info: New subtype `subfigure' on input line 238. -\c@subfigure=\count289 +\c@subfigure=\count287 Package caption Info: New subtype `subtable' on input line 238. -\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 +\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 \U@D=\dimen180 -\l@unhyphenated=\language89 - (/usr/share/texlive/texmf-dist/tex/generic/babel/txtbabel.def) +\l@unhyphenated=\language79 + (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/generic/babel\txtbabel.def) \bbl@readstream=\read3 -\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) +\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) Package babel Info: Making " an active character on input line 139. -)) (/usr/share/texlive/texmf-dist/tex/generic/babel-english/english.ldf +)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/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) (\language58). Reported on input line 105. +(babel) (\language73). Reported on input line 105. Package babel Info: Hyphen rules for 'newzealand' set to \l@ukenglish -(babel) (\language58). Reported on input line 108. -)) (/usr/share/texlive/texmf-dist/tex/generic/babel/locale/en/babel-english.tex +(babel) (\language73). Reported on input line 108. +)) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\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. -) (/usr/share/texlive/texmf-dist/tex/generic/babel/locale/de/babel-german.tex +) (C:\Users\jonah\AppData\Local\Programs\MiKTeX\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. -) (/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 +) (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 \l__siunitx_angle_tmp_dim=\dimen181 \l__siunitx_angle_marker_box=\box57 \l__siunitx_angle_unit_box=\box58 -\l__siunitx_compound_count_int=\count303 - (/usr/share/texlive/texmf-dist/tex/latex/translations/translations.sty +\l__siunitx_compound_count_int=\count301 + (C:\Users\jonah\AppData\Local\Programs\MiKTeX\tex/latex/translations\translations.sty Package: translations 2022/02/05 v1.12 internationalization of LaTeX2e packages (CN) ) \l__siunitx_table_tmp_box=\box59 @@ -339,17 +345,17 @@ 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=\count304 -\l__siunitx_unit_position_int=\count305 -\l__siunitx_unit_total_int=\count306 +\l__siunitx_unit_tmp_int=\count302 +\l__siunitx_unit_position_int=\count303 +\l__siunitx_unit_total_int=\count304 Package siunitx Info: Option "separate-uncertainty" has been deprecated in (siunitx) this release. 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PDF statistics: - 2547 PDF objects out of 2984 (max. 8388607) - 1124 compressed objects within 12 object streams + 2533 PDF objects out of 2984 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 123 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/main.pdf b/main.pdf index d7876c1..cf2864f 100644 Binary files a/main.pdf and b/main.pdf differ diff --git a/main.synctex.gz b/main.synctex.gz index c56d9b2..8e6e297 100644 Binary files a/main.synctex.gz and b/main.synctex.gz differ diff --git a/main.tex b/main.tex index dbfe102..1bed99e 100644 --- a/main.tex +++ b/main.tex @@ -67,12 +67,12 @@ \newcommand{\thp}{T_{\text{HP}}} % Highpass filter adaptation interval % Math shorthands - Early representations: -\newcommand{\raw}{x} % Placeholder input signal -\newcommand{\filt}{\raw_{\text{filt}}} % Bandpass-filtered signal -\newcommand{\env}{\raw_{\text{env}}} % Signal envelope -\newcommand{\db}{\raw_{\text{log}}} % Logarithmically scaled signal -\newcommand{\dbref}{\raw_{\text{ref}}} % Decibel reference intensity -\newcommand{\adapt}{\raw_{\text{adapt}}} % Adapted signal +\newcommand{\raw}{x_{\text{raw}}} % Placeholder input signal +\newcommand{\filt}{x_{\text{filt}}} % Bandpass filtered signal +\newcommand{\env}{x_{\text{env}}} % Signal envelope +\newcommand{\db}{x_{\text{log}}} % Logarithmically scaled signal +\newcommand{\dbref}{x_{\text{ref}}} % Decibel reference intensity +\newcommand{\adapt}{x_{\text{adapt}}} % Adapted signal % Math shorthands - Kernel parameters: \newcommand{\kw}{\sigma} % Unspecific Gabor kernel width @@ -354,9 +354,8 @@ outlined in the following sections. \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_auditory_pathway.pdf} - \caption{\textbf{Schematic organisation of the song recognition pathway in - grasshoppers compared to the structure of the functional - model pathway.} + \caption{\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 @@ -365,12 +364,12 @@ outlined in the following sections. the three neuronal populations within the metathoracic ganglion. \textbf{c}:~Network representation of neuronal connectivity. - \textbf{d}:~Flow diagram of the different signal - representations and transformations along the model - pathway. All representations are time-varying. 1st half: - Preprocessing stage (one-dimensional). 2nd half: Feature - extraction stage (high-dimensional). - } + \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). } \label{fig:pathway} \end{figure} @@ -428,12 +427,12 @@ following feature extraction stage. \includegraphics[width=\textwidth]{figures/fig_pre_stages.pdf} \caption{\textbf{Representations of a song of \textit{O. rufipes} during the preprocessing stage.} - \textbf{a}:~Bandpass-filtered tympanal signal. - \textbf{b}:~Signal envelope. - \textbf{c}:~Logarithmically scaled envelope. - \textbf{d}:~Intensity-adapted envelope. + \textbf{a}:~Bandpass filtered tympanal signal $\filt(t)$. + \textbf{b}:~Signal envelope $\env(t)$. + \textbf{c}:~Logarithmically compressed envelope $\db(t)$. + \textbf{d}:~Intensity-adapted envelope $\adapt(t)$. } - \label{fig:pre} + \label{fig:stages_pre} \end{figure} \FloatBarrier @@ -543,14 +542,15 @@ can be read out by a simple linear classifier. \includegraphics[width=\textwidth]{figures/fig_feat_stages.pdf} \caption{\textbf{Representations of a song of \textit{O. rufipes} during the feature extraction stage.} - Different colors indicate Gabor kernels with different - lobe number $\kn$ and sign, with lighter colors for higher - $\kn$~($1\,\leq\,\kn\,\leq\,4$; both $+$ and $-$ per $\kn$; - two kernel widths $\kw$ of $4\,$ms and $32\,$ms per sign). - \textbf{a}:~Kernel-specific filter responses. - \textbf{b}:~Binary responses. - \textbf{c}:~Finalized features. - } + 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 $\kn$; two kernel widths $\kw$ 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 $f_i(t)$.} \label{fig:stages_feat} \end{figure} \FloatBarrier @@ -576,29 +576,30 @@ specific operations involved, as outlined in the following sections. \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_invariance_rect_lp.pdf} - \caption{\textbf{Intensity invariance by logarithmic compression and - adaptation is restricted by the noise floor.} - Synthetic input $\filt(t)$ consists of song component - $\soc(t)$ scaled by $\sca$ with (\figc{} and \figd) or - without (\figa{} and \figb) additive noise component - $\noc(t)$. Input $\filt(t)$ is transformed into envelope - $\env(t)$, logarithmically compressed envelope $\db(t)$, - and intensity-adapted envelope $\adapt(t)$. - \textbf{Left}:~$\env(t)$, $\db(t)$, and $\adapt(t)$ for - different scales $\sca$. - \textbf{Right}:~Ratios of the standard deviation of - $\env(t)$, $\db(t)$, and $\adapt(t)$ relative to the - respective reference standard deviation $\sigma_{\eta}$ - for input $\filt(t)=\noc(t)$. - \figa{} and \figb:~Ideally, if $\filt(t)=\sca\cdot\soc(t)$, then - $\adapt(t)$ is intensity-invariant across all $\sca$. - \figc{} and \figd:~In practice, if - $\filt(t)=\sca\cdot\soc(t)+\noc(t)$, the intensity - invariance of $\adapt(t)$ is limited to sufficiently large - $\sca$. Shaded area indicates saturation of $\adapt(t)$ at - $95\,\%$ curve span. - } - \label{fig:inv_rect-lp} +\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 $\sigma_x$ of + $\filt(t)$ and $\env(t)$. + \textbf{d}:~Noisy case: Ratios of $\sigma_x$ of $\filt(t)$ and + $\env(t)$ to the respective reference standard deviation + $\sigma_{\eta}$ for input $\raw(t)=\noc(t)$. + \textbf{e}:~Ratios of $\sigma_x$ to $\sigma_{\eta}$ of + $\env(t)$ as in \textbf{d} for different species (averaged + over songs and recordings, see appendix + Fig.\,\ref{fig:app_rect-lp}). + } + \label{fig:rect-lp} \end{figure} \FloatBarrier @@ -634,7 +635,7 @@ space into an additive term, or offset, in logarithmic space \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 +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} @@ -675,29 +676,34 @@ the signal for reliable song recognition. \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_invariance_log_hp.pdf} - \caption{\textbf{Intensity invariance by logarithmic compression and - adaptation is restricted by the noise floor.} - Synthetic input $\filt(t)$ consists of song component - $\soc(t)$ scaled by $\sca$ with (\figc{} and \figd) or - without (\figa{} and \figb) additive noise component - $\noc(t)$. Input $\filt(t)$ is transformed into envelope - $\env(t)$, logarithmically compressed envelope $\db(t)$, - and intensity-adapted envelope $\adapt(t)$. - \textbf{Left}:~$\env(t)$, $\db(t)$, and $\adapt(t)$ for - different scales $\sca$. - \textbf{Right}:~Ratios of the standard deviation of - $\env(t)$, $\db(t)$, and $\adapt(t)$ relative to the - respective reference standard deviation $\sigma_{\eta}$ - for input $\filt(t)=\noc(t)$. - \figa{} and \figb:~Ideally, if $\filt(t)=\sca\cdot\soc(t)$, then - $\adapt(t)$ is intensity-invariant across all $\sca$. - \figc{} and \figd:~In practice, if - $\filt(t)=\sca\cdot\soc(t)+\noc(t)$, the intensity - invariance of $\adapt(t)$ is limited to sufficiently large - $\sca$. Shaded area indicates saturation of $\adapt(t)$ at - $95\,\%$ curve span. + \caption{\textbf{Intensity invariance through logarithmic compression and + adaptation is restricted by the noise floor and decreases + SNR.} + Input $\filt(t)$ consists of song component $\soc(t)$ + scaled by $\sca$ with optional noise component $\noc(t)$ + and is successively transformed into envelope $\env(t)$, + logarithmically compressed envelope $\db(t)$, and + intensity-adapted envelope $\adapt(t)$. + \textbf{Top}:~Example representations of $\env(t)$, + $\db(t)$, and $\adapt(t)$ 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 $\sigma_x$ + of $\env(t)$, $\db(t)$, and $\adapt(t)$. + \textbf{d}:~Noisy case: Ratios of $\sigma_x$ of $\env(t)$, + $\db(t)$, and $\adapt(t)$ to the respective reference + standard deviation $\sigma_{\eta}$ for input + $\filt(t)=\noc(t)$. Shaded areas indicate $5\,\%$ (dark + grey) and $95\,\%$ (light grey) curve span for + $\adapt(t)$. + \textbf{e}:~Ratios of $\sigma_x$ to $\sigma_{\eta}$ of + $\adapt(t)$ 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. } - \label{fig:inv_log-hp} + \label{fig:log-hp} \end{figure} \FloatBarrier @@ -706,40 +712,93 @@ the signal for reliable song recognition. \begin{figure}[!ht] \centering \includegraphics[width=\textwidth]{figures/fig_invariance_thresh_lp_single.pdf} - \caption{\textbf{Intensity invariance by thresholding and temporal - averaging depends on both the threshold value and the - noise floor.} - Synthetic input $\adapt(t)$ consists of song component - $\soc(t)$ scaled by $\sca$ with additive noise component - $\noc(t)$. Input $\adapt(t)$ is transformed into kernel - response $c_i(t)$, binary response $b_i(t)$, and feature - $f_i(t)$. Threshold value $\thr$ is set to multiples of - the reference standard deviation $\sigma_{\eta}$ of $c_i(t)$ for input - $\adapt(t)=\noc(t)$. Darker colors correspond to higher - $\thr$. - \textbf{Left}:~$\adapt(t)$, $c_i(t)$, $b_i(t)$, and - $f_i(t)$ for different scales $\sca$ and threshold values - $\thr$. Left-most column is is the pure-noise reference. - \textbf{Right}:~Average value of $f_i(t)$ during the song - for the different $\thr$. - \figa:~Input $\adapt(t)$. - \figb-\figd:~$c_i(t)$, $b_i(t)$, and $f_i(t)$ for the - different $\thr$ based on the same $\adapt(t)$ from - \figa{}. - \fige:~Average value of $f_i(t)$ during the song for - the different $\thr$ in \figb{}-\figd. + \caption{\textbf{Intensity invariance through thresholding and temporal + averaging is mediated by the interaction of threshold + value and noise floor.} + Input $\adapt(t)$ consists of song component $\soc(t)$ + scaled by $\sca$ with optional noise component $\noc(t)$ + 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 $\adapt(t)=\noc(t)$, with darker + colors for higher $\Theta$). + \textbf{Left}:~Noisy case: Example representations of + $\adapt(t)$ as well as $c(t)$, $b(t)$, and $f(t)$ for + different $\sca$. + \textbf{a}:~$\adapt(t)$ with kernel $k(t)$ in black. + \textbf{b\,-\,d}: $c(t)$, $b(t)$, and $f(t)$ based on the + same $\adapt(t)$ 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 $\sca$. + \textbf{f}:~$\mu_f$ over the standard deviation of noisy + input $\adapt$ corresponding to the values of $\sca$ shown + in \textbf{e}. + % Why plot noiseless case over SD of noisy input? Omit? } - \label{fig:inv_thresh-lp_single} + \label{fig:thresh-lp_single} \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} \caption{\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 $\thr=0.5\cdot\sigma_{\eta_i}$. + \textbf{a}:~Examples of species-specific grasshopper + songs. + \textbf{Middle}:~Average value $\mu_{f_i}$ of each feature + $f_i(t)$ over $\sca$ 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 $\sca$ (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 } - \label{fig:inv_thresh-lp_species} + \label{fig:thresh-lp_species} \end{figure} \FloatBarrier @@ -749,7 +808,7 @@ the signal for reliable song recognition. \caption{\textbf{Step-wise emergence of intensity invariant song representation along the model pathway.} } - \label{fig:inv_full} + \label{fig:pipeline_full} \end{figure} \FloatBarrier @@ -759,7 +818,7 @@ the signal for reliable song recognition. \caption{\textbf{Step-wise emergence of intensity invariant song representation along the model pathway.} } - \label{fig:inv_short} + \label{fig:pipeline_short} \end{figure} \FloatBarrier @@ -768,7 +827,7 @@ the signal for reliable song recognition. \includegraphics[width=\textwidth]{figures/fig_features_cross_species.pdf} \caption{\textbf{Inter- and intraspecific feature variability.} } - \label{fig:cross_species} + \label{fig:feat_cross_species} \end{figure} \FloatBarrier @@ -778,7 +837,7 @@ the signal for reliable song recognition. \caption{\textbf{Step-wise emergence of intensity invariant song representation along the model pathway.} } - \label{fig:inv_field} + \label{fig:pipeline_field} \end{figure} \FloatBarrier @@ -936,7 +995,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_noise_env_sd_conversion_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_env-sd} \end{figure} \FloatBarrier @@ -945,7 +1004,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_invariance_rect-lp_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_rect-lp} \end{figure} \FloatBarrier @@ -954,7 +1013,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_invariance_log-hp_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_log-hp_curves} \end{figure} \FloatBarrier @@ -963,7 +1022,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_saturation_log-hp_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_log-hp_saturation} \end{figure} \FloatBarrier @@ -972,7 +1031,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_invariance_thresh-lp_pure_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_thresh-lp_pure} \end{figure} \FloatBarrier @@ -981,7 +1040,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_invariance_thresh-lp_noise_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_thresh-lp_noise} \end{figure} \FloatBarrier @@ -990,7 +1049,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_kernel_sd_perc_thresh_lp_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_thresh-lp_kern-sd} \end{figure} \FloatBarrier @@ -999,7 +1058,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_kernel_sd_perc_full_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_full_kern-sd} \end{figure} \FloatBarrier @@ -1008,7 +1067,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_kernel_sd_perc_short_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_short_kern-sd} \end{figure} \FloatBarrier @@ -1017,7 +1076,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_kernel_sd_perc_field_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_field_kern-sd} \end{figure} \FloatBarrier @@ -1027,7 +1086,7 @@ initiation of one behavior over another is categorical (e.g. approach/stay) \includegraphics[width=\textwidth]{figures/fig_invariance_cross_species_thresh_appendix.pdf} \caption{\textbf{} } - \label{} + \label{fig:app_cross_species_thresh} \end{figure} \FloatBarrier