From 015a3032c1618d220d199e6a2ce080f4de9953a9 Mon Sep 17 00:00:00 2001 From: j-hartling Date: Tue, 10 Feb 2026 16:24:47 +0100 Subject: [PATCH] Grinding through methods (WIP). --- cite.bib | 19 +- literature/Gollisch_Herz_2004.pdf | Bin 0 -> 373607 bytes main.aux | 67 +++-- main.bbl | 78 +++--- main.bbl-SAVE-ERROR | 171 +++++++----- main.bcf | 48 ++-- main.blg | 68 ----- main.fdb_latexmk | 25 +- main.fls | 10 + main.log | 448 ++++++++++++++++-------------- main.pdf | Bin 1405401 -> 1439309 bytes main.synctex.gz | Bin 92105 -> 96941 bytes main.tex | 222 +++++++++------ 13 files changed, 632 insertions(+), 524 deletions(-) create mode 100644 literature/Gollisch_Herz_2004.pdf delete mode 100644 main.blg diff --git a/cite.bib b/cite.bib index e54fd29..2c7559f 100644 --- a/cite.bib +++ b/cite.bib @@ -182,7 +182,7 @@ volume={32}, pages={17332--17344}, year={2012}, -} +}# Cited @article{gollisch2002energy, title={Energy integration describes sound-intensity coding in an insect auditory system}, @@ -193,6 +193,17 @@ year={2002}, }# Cited +@article{gollisch2004input, + title={Input-driven components of spike-frequency adaptation can be unmasked in vivo}, + author={Gollisch, Tim and Herz, Andreas VM}, + journal={Journal of Neuroscience}, + volume={24}, + number={34}, + pages={7435--7444}, + year={2004}, + publisher={Society for Neuroscience} +}# Cited + @article{gray1960fine, title={The fine structure of the insect ear}, author={Gray, Edward George}, @@ -403,7 +414,8 @@ volume={10}, pages={233--258}, year={2000}, -} +}# Cited + @article{machens2001discrimination, title={Discrimination of behaviorally relevant signals by auditory receptor neurons}, author={Machens, Christian K and Prinz, P and Stemmler, Martin B and Ronacher, Bernhard and Herz, Andreas VM}, @@ -466,8 +478,7 @@ volume={71}, pages={63--101}, year={1971}, -}# Cited - +} @incollection{michelsen1978sound, title={Sound reception in different environments}, author={Michelsen, Axel}, diff --git 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\abx@aux@page{44}{3} \abx@aux@page{45}{3} +\abx@aux@page{46}{3} \abx@aux@cite{0}{rehbein1974structure} \abx@aux@segm{0}{0}{rehbein1974structure} \abx@aux@cite{0}{rehbein1976auditory} @@ -161,18 +164,15 @@ \abx@aux@segm{0}{0}{bhavsar2017brain} \abx@aux@cite{0}{clemens2011efficient} \abx@aux@segm{0}{0}{clemens2011efficient} -\abx@aux@page{46}{4} \abx@aux@page{47}{4} \abx@aux@page{48}{4} \abx@aux@page{49}{4} -\abx@aux@cite{0}{michelsen1971frequency} -\abx@aux@segm{0}{0}{michelsen1971frequency} +\abx@aux@page{50}{4} \abx@aux@cite{0}{windmill2008time} \abx@aux@segm{0}{0}{windmill2008time} \abx@aux@cite{0}{malkin2014energy} \abx@aux@segm{0}{0}{malkin2014energy} \@writefile{toc}{\contentsline {section}{\numberline {2}Developing a functional model of the\\grasshopper song recognition pathway}{5}{}\protected@file@percent } -\abx@aux@page{50}{5} \abx@aux@page{51}{5} \abx@aux@page{52}{5} \abx@aux@page{53}{5} @@ -180,8 +180,12 @@ \abx@aux@page{55}{5} \abx@aux@page{56}{5} \abx@aux@page{57}{5} +\abx@aux@page{58}{5} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Population-driven signal preprocessing}{5}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \textbf {Schematic organisation of the song recognition pathway in grasshoppers compared to the structure of the model pathway.} \textbf {a}:~Course of the pathway in the grasshopper, from the tympanal membrane over receptor neurons (1st order), local interneurons (2nd order) of the metathoracic ganglion, and ascending neurons (3rd order) further towards the central brain. \textbf {b}:~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 (boxes) and transformations (arrows) along the model pathway. The pathway consists of a population-wide preprocessing stream followed by several parallel feature extraction streams. }}{6}{}\protected@file@percent } +\abx@aux@page{59}{5} +\abx@aux@page{60}{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 } +\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} \newlabel{fig:pathway}{{1}{6}{}{}{}} \abx@aux@cite{0}{machens2001discrimination} \abx@aux@segm{0}{0}{machens2001discrimination} @@ -191,15 +195,16 @@ \abx@aux@segm{0}{0}{suga1960peripheral} \abx@aux@cite{0}{gollisch2002energy} \abx@aux@segm{0}{0}{gollisch2002energy} +\abx@aux@cite{0}{romer1976informationsverarbeitung} +\abx@aux@segm{0}{0}{romer1976informationsverarbeitung} +\abx@aux@cite{0}{gollisch2004input} +\abx@aux@segm{0}{0}{gollisch2004input} +\abx@aux@cite{0}{fisch2012channel} +\abx@aux@segm{0}{0}{fisch2012channel} \abx@aux@cite{0}{hildebrandt2009origin} \abx@aux@segm{0}{0}{hildebrandt2009origin} \abx@aux@cite{0}{clemens2010intensity} \abx@aux@segm{0}{0}{clemens2010intensity} -\abx@aux@cite{0}{fisch2012channel} 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+\newlabel{tab:gabor_phases}{{1}{8}{}{}{}} +\newlabel{eq:binary}{{9}{8}{}{}{}} +\newlabel{eq:lowpass}{{10}{9}{}{}{}} +\@writefile{toc}{\contentsline {section}{\numberline {3}Two mechanisms driving the emergence of intensity-invariant song representation}{9}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Logarithmic scaling \& spike-frequency adaptation}{9}{}\protected@file@percent } -\newlabel{eq:toy_env}{{9}{9}{}{}{}} -\newlabel{eq:toy_snr}{{10}{9}{}{}{}} -\newlabel{eq:toy_log}{{11}{9}{}{}{}} -\newlabel{eq:toy_highpass}{{12}{9}{}{}{}} +\newlabel{eq:toy_env}{{11}{9}{}{}{}} +\newlabel{eq:toy_snr}{{12}{9}{}{}{}} +\newlabel{eq:toy_log}{{13}{10}{}{}{}} +\newlabel{eq:toy_highpass}{{14}{10}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Threshold nonlinearity \& temporal averaging}{10}{}\protected@file@percent } -\newlabel{eq:pdf_split}{{13}{10}{}{}{}} -\newlabel{eq:pdf}{{14}{10}{}{}{}} -\newlabel{eq:feat_avg}{{15}{11}{}{}{}} 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739edcb..2f86c18 100644 --- a/main.bbl +++ b/main.bbl @@ -729,8 +729,46 @@ \field{pages}{17332\bibrangedash 17344} \range{pages}{13} \endentry + \entry{gollisch2004input}{article}{} + \name{author}{2}{ul=2}{% + {{un=0,uniquepart=base,hash=376cc9f4803f0227f679089e863cbce8}{% + family={Gollisch}, + familyi={G\bibinitperiod}, + given={Tim}, + giveni={T\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=b7f9fb3e1e84e5a6ac5dec33ca4db532}{% + family={Herz}, + familyi={H\bibinitperiod}, + given={Andreas\bibnamedelima VM}, + giveni={A\bibinitperiod\bibinitdelim V\bibinitperiod}, + givenun=0}}% + } + \list{publisher}{1}{% + {Society for Neuroscience}% + } + \strng{namehash}{4a3a321b17a743e61e1cb58aeb8dee08} + \strng{fullhash}{4a3a321b17a743e61e1cb58aeb8dee08} + \strng{bibnamehash}{4a3a321b17a743e61e1cb58aeb8dee08} + \strng{authorbibnamehash}{4a3a321b17a743e61e1cb58aeb8dee08} + \strng{authornamehash}{4a3a321b17a743e61e1cb58aeb8dee08} + \strng{authorfullhash}{4a3a321b17a743e61e1cb58aeb8dee08} + \field{sortinit}{G} + \field{sortinithash}{32d67eca0634bf53703493fb1090a2e8} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{Journal of Neuroscience} + \field{number}{34} + \field{title}{Input-driven components of spike-frequency adaptation can be unmasked in vivo} + \field{volume}{24} + \field{year}{2004} + \field{pages}{7435\bibrangedash 7444} + \range{pages}{10} + \endentry \entry{gollisch2002energy}{article}{} - \name{author}{4}{}{% + \name{author}{4}{ul=2}{% {{un=0,uniquepart=base,hash=376cc9f4803f0227f679089e863cbce8}{% family={Gollisch}, familyi={G\bibinitperiod}, @@ -756,11 +794,11 @@ giveni={A\bibinitperiod\bibinitdelim V\bibinitperiod}, givenun=0}}% } - \strng{namehash}{fe6dd45c70802800d4f79fbfe26cb1d1} + \strng{namehash}{46388b113fecb37e38ec0f2a1ccdafae} \strng{fullhash}{1df8a66667f5bd3602405c61e46f4111} - \strng{bibnamehash}{fe6dd45c70802800d4f79fbfe26cb1d1} - \strng{authorbibnamehash}{fe6dd45c70802800d4f79fbfe26cb1d1} - \strng{authornamehash}{fe6dd45c70802800d4f79fbfe26cb1d1} + \strng{bibnamehash}{46388b113fecb37e38ec0f2a1ccdafae} + \strng{authorbibnamehash}{46388b113fecb37e38ec0f2a1ccdafae} + \strng{authornamehash}{46388b113fecb37e38ec0f2a1ccdafae} \strng{authorfullhash}{1df8a66667f5bd3602405c61e46f4111} \field{sortinit}{G} \field{sortinithash}{32d67eca0634bf53703493fb1090a2e8} @@ -1423,35 +1461,6 @@ \field{pages}{20130857} \range{pages}{1} \endentry - \entry{michelsen1971frequency}{article}{} - \name{author}{1}{}{% - {{un=0,uniquepart=base,hash=52cc9072f3abd1fbff88d8bd16788da4}{% - family={Michelsen}, - familyi={M\bibinitperiod}, - given={Axel}, - giveni={A\bibinitperiod}, - givenun=0}}% - } - \strng{namehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{fullhash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{bibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{authorbibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{authornamehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{authorfullhash}{52cc9072f3abd1fbff88d8bd16788da4} - \field{extraname}{1} - \field{sortinit}{M} - \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} - \field{extradatescope}{labelyear} - \field{labeldatesource}{} - \field{labelnamesource}{author} - \field{labeltitlesource}{title} - \field{journaltitle}{Z vergl Physiologie} - \field{title}{{The physiology of the locust ear: II. Frequency discrimination based upon resonances in the tympanum}} - \field{volume}{71} - \field{year}{1971} - \field{pages}{63\bibrangedash 101} - \range{pages}{39} - \endentry \entry{michelsen1978sound}{incollection}{} \name{author}{1}{}{% {{un=0,uniquepart=base,hash=52cc9072f3abd1fbff88d8bd16788da4}{% @@ -1470,7 +1479,6 @@ \strng{authorbibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} \strng{authornamehash}{52cc9072f3abd1fbff88d8bd16788da4} \strng{authorfullhash}{52cc9072f3abd1fbff88d8bd16788da4} - \field{extraname}{2} \field{sortinit}{M} \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} \field{extradatescope}{labelyear} diff --git a/main.bbl-SAVE-ERROR b/main.bbl-SAVE-ERROR index eafb15f..fd79570 100644 --- a/main.bbl-SAVE-ERROR +++ b/main.bbl-SAVE-ERROR @@ -97,6 +97,43 @@ \field{pages}{2064\bibrangedash 2072} \range{pages}{9} \endentry + \entry{bauer1987separate}{article}{} + \name{author}{2}{}{% + {{un=0,uniquepart=base,hash=7794c5e26d788e9901c772c4108c2663}{% + family={Bauer}, + familyi={B\bibinitperiod}, + given={Maria}, + giveni={M\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=ecb958a09c71420bd1e10f3fee8c24ac}{% + family={Helversen}, + familyi={H\bibinitperiod}, + given={Otto}, + giveni={O\bibinitperiod}, + givenun=0, + prefix={von}, + prefixi={v\bibinitperiod}, + prefixun=0}}% + } + \strng{namehash}{287c9383f090bb4cdadf48816adafb63} + \strng{fullhash}{287c9383f090bb4cdadf48816adafb63} + \strng{bibnamehash}{287c9383f090bb4cdadf48816adafb63} + \strng{authorbibnamehash}{287c9383f090bb4cdadf48816adafb63} + \strng{authornamehash}{287c9383f090bb4cdadf48816adafb63} + \strng{authorfullhash}{287c9383f090bb4cdadf48816adafb63} + \field{sortinit}{B} + \field{sortinithash}{d7095fff47cda75ca2589920aae98399} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{J Comp Physiol A} + \field{title}{Separate localization of sound recognizing and sound producing neural mechanisms in a grasshopper} + \field{volume}{161} + \field{year}{1987} + \field{pages}{95\bibrangedash 101} + \range{pages}{7} + \endentry \entry{benda2021neural}{article}{} \name{author}{1}{}{% {{un=0,uniquepart=base,hash=f0049b5905ec2af7caf4cdf6b716a30a}{% @@ -163,6 +200,46 @@ \field{pages}{113\bibrangedash 136} \range{pages}{24} \endentry + \entry{bhavsar2017brain}{article}{} + \name{author}{3}{}{% + {{un=0,uniquepart=base,hash=035bcbff7d75be0d9fd667b5fb3424db}{% + family={Bhavsar}, + familyi={B\bibinitperiod}, + given={Mit\bibnamedelima Balvantray}, + giveni={M\bibinitperiod\bibinitdelim B\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=a7bef35fb61ea64e0f04d6c87e5aa622}{% + family={Stumpner}, + familyi={S\bibinitperiod}, + given={Andreas}, + giveni={A\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=5f887f38effb726d1998187dc8065872}{% + family={Heinrich}, + familyi={H\bibinitperiod}, + given={Ralf}, + giveni={R\bibinitperiod}, + givenun=0}}% + } + \strng{namehash}{1506ecb4b9ab56933f348b57aaf8281a} + \strng{fullhash}{748fba5c6eb780db98b99ccd95283e13} + \strng{bibnamehash}{748fba5c6eb780db98b99ccd95283e13} + \strng{authorbibnamehash}{748fba5c6eb780db98b99ccd95283e13} + \strng{authornamehash}{1506ecb4b9ab56933f348b57aaf8281a} + \strng{authorfullhash}{748fba5c6eb780db98b99ccd95283e13} + \field{sortinit}{B} + \field{sortinithash}{d7095fff47cda75ca2589920aae98399} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{J Insect Physiol} + \field{title}{Brain regions for sound processing and song release in a small grasshopper} + \field{volume}{99} + \field{year}{2017} + \field{pages}{15\bibrangedash 24} + \range{pages}{10} + \endentry \entry{cigliano2024orthoptera}{article}{} \name{author}{4}{}{% {{un=0,uniquepart=base,hash=55d574c2f3ce70a83e88c1f8180a21ad}{% @@ -698,6 +775,38 @@ \field{pages}{10434\bibrangedash 10448} \range{pages}{15} \endentry + \entry{gray1960fine}{article}{} + \name{author}{1}{}{% + {{un=0,uniquepart=base,hash=0fd169f6f92c0ac622714d01f266a464}{% + family={Gray}, + familyi={G\bibinitperiod}, + given={Edward\bibnamedelima George}, + giveni={E\bibinitperiod\bibinitdelim G\bibinitperiod}, + givenun=0}}% + } + \list{publisher}{1}{% + {The Royal Society London}% + } + \strng{namehash}{0fd169f6f92c0ac622714d01f266a464} + \strng{fullhash}{0fd169f6f92c0ac622714d01f266a464} + \strng{bibnamehash}{0fd169f6f92c0ac622714d01f266a464} + \strng{authorbibnamehash}{0fd169f6f92c0ac622714d01f266a464} + \strng{authornamehash}{0fd169f6f92c0ac622714d01f266a464} + \strng{authorfullhash}{0fd169f6f92c0ac622714d01f266a464} + \field{sortinit}{G} + \field{sortinithash}{32d67eca0634bf53703493fb1090a2e8} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences} + \field{number}{700} + \field{title}{The fine structure of the insect ear} + \field{volume}{243} + \field{year}{1960} + \field{pages}{75\bibrangedash 94} + \range{pages}{20} + \endentry \entry{greenfield1993acoustic}{article}{} \name{author}{2}{}{% {{un=0,uniquepart=base,hash=7337060ac66e3754c013ebcf5ab58448}{% @@ -1084,38 +1193,6 @@ \field{pages}{2626\bibrangedash 2636} \range{pages}{11} \endentry - \entry{kalmring1975afferent}{article}{} - \name{author}{1}{}{% - {{un=0,uniquepart=base,hash=96806c4105cbfbf30da29ebb55c2d4e1}{% - family={Kalmring}, - familyi={K\bibinitperiod}, - given={Klaus}, - giveni={K\bibinitperiod}, - givenun=0}}% - } - \list{publisher}{1}{% - {Springer}% - } - \strng{namehash}{96806c4105cbfbf30da29ebb55c2d4e1} - \strng{fullhash}{96806c4105cbfbf30da29ebb55c2d4e1} - \strng{bibnamehash}{96806c4105cbfbf30da29ebb55c2d4e1} - \strng{authorbibnamehash}{96806c4105cbfbf30da29ebb55c2d4e1} - \strng{authornamehash}{96806c4105cbfbf30da29ebb55c2d4e1} - \strng{authorfullhash}{96806c4105cbfbf30da29ebb55c2d4e1} - \field{sortinit}{K} - \field{sortinithash}{c02bf6bff1c488450c352b40f5d853ab} - \field{extradatescope}{labelyear} - \field{labeldatesource}{} - \field{labelnamesource}{author} - \field{labeltitlesource}{title} - \field{journaltitle}{Journal of comparative physiology} - \field{number}{2} - \field{title}{The afferent auditory pathway in the ventral cord of Locusta migratoria (Acrididae) I. Synaptic connectivity and information processing among the auditory neurons of the ventral cord} - \field{volume}{104} - \field{year}{1975} - \field{pages}{103\bibrangedash 141} - \range{pages}{39} - \endentry \entry{kohler2017morphological}{article}{} \name{author}{3}{}{% {{un=0,uniquepart=base,hash=36423aa20fab02565c83d509b52fe9e8}{% @@ -1346,35 +1423,6 @@ \field{pages}{20130857} \range{pages}{1} \endentry - \entry{michelsen1971frequency}{article}{} - \name{author}{1}{}{% - {{un=0,uniquepart=base,hash=52cc9072f3abd1fbff88d8bd16788da4}{% - family={Michelsen}, - familyi={M\bibinitperiod}, - given={Axel}, - giveni={A\bibinitperiod}, - givenun=0}}% - } - \strng{namehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{fullhash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{bibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{authorbibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{authornamehash}{52cc9072f3abd1fbff88d8bd16788da4} - \strng{authorfullhash}{52cc9072f3abd1fbff88d8bd16788da4} - \field{extraname}{1} - \field{sortinit}{M} - \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} - \field{extradatescope}{labelyear} - \field{labeldatesource}{} - \field{labelnamesource}{author} - \field{labeltitlesource}{title} - \field{journaltitle}{Z vergl Physiologie} - \field{title}{{The physiology of the locust ear: II. Frequency discrimination based upon resonances in the tympanum}} - \field{volume}{71} - \field{year}{1971} - \field{pages}{63\bibrangedash 101} - \range{pages}{39} - \endentry \entry{michelsen1978sound}{incollection}{} \name{author}{1}{}{% {{un=0,uniquepart=base,hash=52cc9072f3abd1fbff88d8bd16788da4}{% @@ -1393,7 +1441,6 @@ \strng{authorbibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} \strng{authornamehash}{52cc9072f3abd1fbff88d8bd16788da4} \strng{authorfullhash}{52cc9072f3abd1fbff88d8bd16788da4} - \field{extraname}{2} \field{sortinit}{M} \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} \field{extradatescope}{labelyear} diff --git a/main.bcf b/main.bcf index 2107b52..4890e77 100644 --- a/main.bcf +++ b/main.bcf @@ -2397,38 +2397,40 @@ ozeri2018fast benda2021neural romer1976informationsverarbeitung - gollisch2002energy + gollisch2004input hildebrandt2009origin clemens2010intensity - clemens2010intensity - hildebrandt2009origin - clemens2013computational - hennig2014time - clemens2013feature - ronacher2015computational - clemens2013feature - clemens2013computational - rokem2006spike - clemens2011efficient - clemens2012nonlinear - rehbein1974structure - rehbein1976auditory - eichendorf1980projections - gray1960fine - ronacher1986routes - bauer1987separate - bhavsar2017brain - clemens2011efficient - michelsen1971frequency + fisch2012channel + clemens2010intensity + hildebrandt2009origin + clemens2013computational + hennig2014time + clemens2013feature + ronacher2015computational + clemens2013feature + clemens2013computational + rokem2006spike + clemens2011efficient + clemens2012nonlinear + rehbein1974structure + rehbein1976auditory + eichendorf1980projections + gray1960fine + ronacher1986routes + bauer1987separate + bhavsar2017brain + clemens2011efficient windmill2008time malkin2014energy machens2001discrimination machens2001representation suga1960peripheral gollisch2002energy - hildebrandt2009origin - clemens2010intensity + romer1976informationsverarbeitung + gollisch2004input fisch2012channel + hildebrandt2009origin + clemens2010intensity diff --git a/main.blg b/main.blg deleted file mode 100644 index adca5cf..0000000 --- a/main.blg +++ /dev/null @@ -1,68 +0,0 @@ -[0] Config.pm:307> INFO - This is Biber 2.19 -[0] Config.pm:310> INFO - Logfile is 'main.blg' -[36] biber:340> INFO - === Do Feb 5, 2026, 16:05:50 -[43] Biber.pm:419> INFO - Reading 'main.bcf' -[71] Biber.pm:979> INFO - Found 54 citekeys in bib section 0 -[77] Biber.pm:4419> INFO - Processing section 0 -[81] Biber.pm:4610> INFO - Looking for bibtex file 'cite.bib' for section 0 -[82] bibtex.pm:1713> INFO - LaTeX decoding ... -[111] bibtex.pm:1519> INFO - Found BibTeX data source 'cite.bib' -[296] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' -[296] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' -[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' -[319] bbl.pm:660> INFO - Writing 'main.bbl' with encoding 'UTF-8' -[330] bbl.pm:763> INFO - Output to main.bbl -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 10, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 21, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 38, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 49, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 58, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 73, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 82, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 91, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 100, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 109, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 118, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 127, warning: 6 characters of junk seen at toplevel -[330] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 136, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 157, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 178, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 196, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 207, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 218, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 229, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 238, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 247, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 258, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 267, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 278, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 289, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 298, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 317, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 326, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 389, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 416, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 425, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 444, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 471, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 480, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 515, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 524, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 545, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 554, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 565, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 576, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 608, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 637, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 647, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 656, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 677, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 698, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 707, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 716, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 733, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 742, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 767, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_7COz/347c261ec4135a5723bef5c751f5078f_24469.utf8, line 784, warning: 6 characters of junk seen at toplevel -[331] Biber.pm:133> INFO - WARNINGS: 52 diff --git a/main.fdb_latexmk b/main.fdb_latexmk index 33fb85a..f865335 100644 --- a/main.fdb_latexmk +++ b/main.fdb_latexmk @@ -1,14 +1,14 @@ # Fdb version 4 -["biber main"] 1770303949.74161 "main.bcf" "main.bbl" "main" 1770305979.74481 0 - "cite.bib" 1770299611.57339 26414 fcbc2e4bdd871ba0e1d936b82bd77d51 "" - "main.bcf" 1770305979.69979 112481 65739cbbe52243e551f292871d8311ea "pdflatex" +["biber main"] 0 "main.bcf" "main.bbl" "main" 1770736940.85322 -1 + "cite.bib" 1770643506.04124 26738 a3ecf998ef3fd04ce34f87829707ecb5 "" + "main.bcf" 1770736940.80657 112636 ed1c2081e91b30dff1dc7040d84b8374 "pdflatex" (generated) "main.bbl" "main.blg" (rewritten before read) -["pdflatex"] 1770305978.9734 "/home/hartling/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1770305979.74502 0 +["pdflatex"] 1770736940.06117 "/home/hartling/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1770736940.85343 0 "/etc/texmf/web2c/texmf.cnf" 1761560044.43676 475 c0e671620eb5563b2130f56340a5fde8 "" - "/home/hartling/phd/paper/paper_2025/main.tex" 1770305978.8808 34498 fbcfce5cf2ee77efb040c307a3788af9 "" + "/home/hartling/phd/paper/paper_2025/main.tex" 1770736939.98858 36498 9491416318b57ca685bfe17df6ddf599 "" "/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 "" @@ -16,11 +16,13 @@ "/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 "" 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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 "" @@ -29,11 +31,13 @@ "/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/cmex10.pfb" 1248133631 30251 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a/main.fls b/main.fls index 666f19e..fba563b 100644 --- a/main.fls +++ b/main.fls @@ -122,6 +122,12 @@ INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/caption/subcaption.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/caption/subcaption.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/caption/caption.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/caption/caption.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/caption/caption3.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/caption/caption3.sty INPUT /usr/share/texlive/texmf-dist/tex/latex/siunitx/siunitx.sty INPUT /usr/share/texlive/texmf-dist/tex/latex/siunitx/siunitx.sty INPUT /usr/share/texlive/texmf-dist/tex/latex/translations/translations.sty @@ -242,15 +248,19 @@ INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm INPUT main.aux INPUT main.run.xml OUTPUT main.run.xml +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb diff --git a/main.log b/main.log index 2446661..56cf7d5 100644 --- a/main.log +++ b/main.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Debian) (preloaded format=pdflatex 2025.10.28) 5 FEB 2026 16:39 +This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Debian) (preloaded format=pdflatex 2025.10.28) 10 FEB 2026 16:22 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. @@ -259,38 +259,62 @@ Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support 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/siunitx/siunitx.sty +)) (/usr/share/texlive/texmf-dist/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 +Package: caption3 2023/07/31 v2.4d caption3 kernel (AR) +\caption@tempdima=\dimen172 +\captionmargin=\dimen173 +\caption@leftmargin=\dimen174 +\caption@rightmargin=\dimen175 +\caption@width=\dimen176 +\caption@indent=\dimen177 +\caption@parindent=\dimen178 +\caption@hangindent=\dimen179 +Package caption Info: Standard document class detected. +) +\c@caption@flags=\count287 +\c@continuedfloat=\count288 +Package caption Info: float package is loaded. +) +Package caption Info: New subtype 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\sisetup{output-exponent-marker=\ensuremath{\mathrm{e}}} % \usepackage[capitalize]{cleveref} @@ -60,9 +62,16 @@ \newcommand{\adapt}{\raw_{\text{adapt}}} % Adapted signal % Math shorthands - Kernel parameters: -\newcommand{\ks}{\sigma_i} % Gabor kernel width -\newcommand{\kf}{f_i} % Gabor kernel frequency -\newcommand{\kp}{\phi_i} % Gabor kernel phase +\newcommand{\kw}{\sigma} % Unspecific Gabor kernel width +\newcommand{\kf}{\omega} % Unspecific Gabor kernel frequency +\newcommand{\kp}{\phi} % Unspecific Gabor kernel phase +\newcommand{\kn}{n} % Unspecific Gabor kernel lobe number +\newcommand{\ks}{s} % Unspecific Gabor kernel sign +\newcommand{\kwi}{\kw_i} % Specific Gabor kernel width +\newcommand{\kfi}{\kf_i} % Specific Gabor kernel frequency +\newcommand{\kpi}{\kp_i} % Specific Gabor kernel phase +\newcommand{\kni}{\kn_i} % Specific Gabor kernel lobe number +\newcommand{\ksi}{\ks_i} % Specific Gabor kernel sign % Math shorthands - Threshold nonlinearity: \newcommand{\thr}{\Theta_i} % Step function threshold value @@ -142,9 +151,9 @@ parameters of this pattern, such as the duration of syllables and pauses~(\bcite{helversen1972gesang}), the slope of pulse onsets~(\bcite{helversen1993absolute}), and the accentuation of syllable onsets relative to the preceeding pause~(\bcite{balakrishnan2001song}; -\bcite{helversen2004acoustic}). The amplitude modulation, or envelope, of the -song is sufficient for recognition~(\bcite{helversen1997recognition}). However, -the essential recognition cues can vary considerably with external physical +\bcite{helversen2004acoustic}). The amplitude modulation of the song is +sufficient for recognition~(\bcite{helversen1997recognition}). However, the +essential recognition cues can vary considerably with external physical factors, which requires the auditory system to be invariant to such variations in order to reliably recognize songs under different conditions. For instance, the temporal structure of grasshopper songs warps with @@ -173,12 +182,12 @@ general:~\bcite{benda2021neural}). In the grasshopper auditory system, a number of neuron types along the processing chain exhibit spike-frequency adaptation in response to sustained stimulus intensities~(\bcite{romer1976informationsverarbeitung}; -\bcite{gollisch2002energy}; \bcite{hildebrandt2009origin}; -\bcite{clemens2010intensity}) and thus likely contribute to the emergence of -intensity-invariant song representations. This means that intensity invariance -is not the result of a single processing step but rather a gradual process, in -which different neuronal populations contribute to varying -degrees~(\bcite{clemens2010intensity}) and by different +\bcite{gollisch2004input}; \bcite{hildebrandt2009origin}; +\bcite{clemens2010intensity}; \bcite{fisch2012channel}) and thus likely +contribute to the emergence of intensity-invariant song representations. This +means that intensity invariance is not the result of a single processing step +but rather a gradual process, in which different neuronal populations +contribute to varying degrees~(\bcite{clemens2010intensity}) and by different mechanisms~(\bcite{hildebrandt2009origin}). Approximating this process within a functional model framework thus requires a considerable amount of simplification. In this work, we demonstrate that even a small number of basic @@ -287,137 +296,168 @@ The essence of constructing a functional model of a given system is to gain a sufficient understanding of the system's essential structural components and their presumed functional roles; and to then build a formal framework of manageable complexity around these two aspects. Anatomically, the organization -of the grasshopper song recognition pathway can be outlined as a hierarchical -feed-forward network of three consecutive neuronal -populations~(Fig.\,\ref{fig:pathway}a-c): Peripheral auditory receptor neurons, -whose axons enter the ventral nerve cord at the level of the metathoracic -ganglion; local interneurons that remain exclusively within the thoracic region -of the ventral nerve cord; and ascending neurons projecting from the thoracic -region towards the supraesophageal ganglion~(\bcite{rehbein1974structure}; -\bcite{rehbein1976auditory}; \bcite{eichendorf1980projections}). The input to -the network originates at the membrane of the tympanal organ, which acts as the -primary sound receiver and is coupled to the dendritic endings of the receptor -neurons~(\bcite{gray1960fine}). The outputs from the network converge somewhere -in the supraesophageal ganglion, which is presumed to harbor the neuronal -substrate for conspecific song recognition and response +of the grasshopper song recognition pathway can be outlined as a feed-forward +network of three consecutive neuronal +populations~(Fig.\,\mbox{\ref{fig:pathway}a-c}): Peripheral auditory receptor +neurons, whose axons enter the ventral nerve cord at the level of the +metathoracic ganglion; local interneurons that remain exclusively within the +thoracic region of the ventral nerve cord; and ascending neurons projecting +from the thoracic region towards the supraesophageal +ganglion~(\bcite{rehbein1974structure}; \bcite{rehbein1976auditory}; +\bcite{eichendorf1980projections}). The input to the network originates at the +tympanal membrane, which acts as acoustic receiver and is coupled to the +dendritic endings of the receptor neurons~(\bcite{gray1960fine}). The outputs +from the network converge in the supraesophageal ganglion, which is presumed to +harbor the neuronal substrate for conspecific song recognition and response initiation~(\bcite{ronacher1986routes}; \bcite{bauer1987separate}; \bcite{bhavsar2017brain}). Functionally, the ascending neurons are the most diverse of the three populations along the pathway. Individual ascending neurons possess highly specific response properties that contrast with the -homogeneous responses of the preceding receptor neurons and local -interneurons~(\bcite{clemens2011efficient}), indicating a transition from a -uniform population-wide processing stream into several parallel branches. Based -on these anatomical and physiological considerations, the overall structure of -the model pathway is divided into two distinct +rather homogeneous response properties of the preceding receptor neurons and +local interneurons~(\bcite{clemens2011efficient}), indicating a transition from +a uniform population-wide processing stream into several parallel branches. +Based on these anatomical and physiological considerations, the overall +structure of the model pathway is divided into two distinct stages~(Fig.\,\ref{fig:pathway}d). The preprocessing stage incorporates the known physiological processing steps at the levels of the tympanal membrane, the receptor neurons, and the local interneurons; and operates on one-dimensional signal representations. The feature extraction stage corresponds to the processing within the ascending neurons and further downstream towards the supraesophageal ganglion; and operates on -higher-dimensional signal representations. The details of each processing step -within the two stages are outlined in the following sections. +high-dimensional signal representations. The details of each physiological +processing step and its functional approximation within the two stages are +outlined in the following sections. \begin{figure}[!ht] \centering \def\svgwidth{\textwidth} \import{figures/}{fig_auditory_pathway.pdf_tex} \caption{\textbf{Schematic organisation of the song recognition pathway in - grasshoppers compared to the structure of the model pathway.} - \textbf{a}:~Course of the pathway in the grasshopper, from - the tympanal membrane over receptor neurons (1st order), - local interneurons (2nd order) of the metathoracic - ganglion, and ascending neurons (3rd order) further - towards the central brain. - \textbf{b}:~Connections between the three neuronal - populations within the metathoracic ganglion. + 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 (boxes) and transformations (arrows) along - the model pathway. The pathway consists of a - population-wide preprocessing stream followed by several - parallel feature extraction streams. + 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). } \label{fig:pathway} \end{figure} \subsection{Population-driven signal preprocessing} -Grasshoppers receive airborne sound waves by a tympanal organ at each side of -the thorax~(Fig.\,\ref{fig:pathway}a). The tympanal membrane acts as a -mechanical resonance filter: Vibrations that fall within specific frequency -bands are focused on different membrane areas, while others are -attenuated~(\bcite{michelsen1971frequency}; \bcite{windmill2008time}; -\bcite{malkin2014energy}). This processing step can be approximated by an -initial bandpass filter +Grasshoppers receive airborne sound waves by a tympanal organ at either side of +the body. The tympanal membrane acts as a mechanical resonance filter for +sound-induced vibrations~(\bcite{windmill2008time}; \bcite{malkin2014energy}). +Vibrations that fall within specific frequency bands are focused on different +membrane areas, while others are attenuated. This processing step can be +approximated by an initial bandpass filter \begin{equation} \filt(t)\,=\,\raw(t)\,*\,\bp, \qquad \fc\,=\,5\,\text{kHz},\,30\,\text{kHz} \label{eq:bandpass} \end{equation} applied to the acoustic input signal $\raw(t)$. The auditory receptor neurons -connect directly to the tympanal membrane~(Fig.\,\ref{fig:pathway}a). Besides -performing the mechano-electrical transduction, the receptor population is -substrate to several known processing steps. First, the receptors extract the -signal envelope~(\bcite{machens2001discrimination}), which likely involves a -rectifying nonlinearity~(\bcite{machens2001representation}). This can be -modelled as full-wave rectification followed by lowpass filtering +transduce the vibrations of the tympanal membrane into sequences of action +potentials. Thereby, they encode the amplitude modulation, or envelope, of the +signal~(\bcite{machens2001discrimination}), which likely involves a rectifying +nonlinearity~(\bcite{machens2001representation}). This can be modelled as +full-wave rectification followed by lowpass filtering \begin{equation} \env(t)\,=\,|\filt(t)|\,*\,\lp, \qquad \fc\,=\,500\,\text{Hz} \label{eq:env} \end{equation} of the tympanal signal $\filt(t)$. Furthermore, the receptors exhibit a sigmoidal response curve over logarithmically compressed intensity -levels~(\bcite{suga1960peripheral}; \bcite{gollisch2002energy}). In the model, -logarithmic compression is achieved by conversion to decibel scale +levels~(\bcite{suga1960peripheral}; \bcite{gollisch2002energy}). In the model +pathway, logarithmic compression is achieved by conversion to decibel scale \begin{equation} \db(t)\,=\,10\,\cdot\,\dec \frac{\env(t)}{\dbref}, \qquad \dbref\,=\,\max[\env(t)] \label{eq:log} \end{equation} relative to the maximum intensity $\dbref$ of the signal envelope $\env(t)$. -Next, the axons of the receptor neurons project into the metathoracic ganglion, -where they synapse onto local interneurons~(Fig.\,\ref{fig:pathway}b). Both the -local interneurons~(\bcite{hildebrandt2009origin}; -\bcite{clemens2010intensity}) and, to a lesser extent, the receptors -themselves~(\bcite{fisch2012channel}) display spike-frequency adaptation in -response to sustained stimulus intensity levels. This mechanism allows for the -robust encoding of faster amplitude modulations against a slowly changing -overall baseline intensity. Functionally, this processing step resembles a -highpass filter +Both the receptor neurons~(\bcite{romer1976informationsverarbeitung}; +\bcite{gollisch2004input}; \bcite{fisch2012channel}) and, on a larger scale, +the subsequent local interneurons~(\bcite{hildebrandt2009origin}; +\bcite{clemens2010intensity}) adapt their firing rates in response to sustained +stimulus intensity levels, which allows for the robust encoding of faster +amplitude modulations against a slowly changing overall baseline intensity. +Functionally, the adaptation mechanism resembles a highpass filter \begin{equation} \adapt(t)\,=\,\db(t)\,*\,\hp, \qquad \fc\,=\,10\,\text{Hz} \label{eq:highpass} \end{equation} -over the logarithmically scaled envelope $\db(t)$. The projections of the local -interneurons remain within the metathoracic ganglion and synapse onto a small -number of ascending neurons~(Fig.\,\ref{fig:pathway}b), which marks the -transition between the preprocessing stream and the parallel processing stream -of the model pathway. +over the logarithmically scaled envelope $\db(t)$. This processing step +concludes the preprocessing stage of the model pathway. The resulting +intensity-adapted envelope $\adapt(t)$ is then passed on from the local +interneurons to the ascending neurons, where it serves as the basis for the +following feature extraction stage. \subsection{Feature extraction by individual neurons} -The small population of ascending neurons - - - -\textbf{Stage-specific processing steps and functional approximations:} - -Template matching by individual ANs\\ -- Filter base (STA approximations): Set of Gabor kernels\\ -- Gabor parameters: $\ks, \kp, \kf$ $\rightarrow$ Determines kernel sign and lobe number -% -\begin{equation} - k_i(t,\,\ks,\,\kf,\,\kp)\,=\,e^{-\frac{t^{2}}{2{\ks}^{2}}}\,\cdot\,\sin(2\pi\kf\,\cdot\,t\,+\,\phi_i) - \label{eq:gabor} -\end{equation} -% -$\rightarrow$ Separate convolution with each member of the kernel set -% +The ascending neurons extract and encode a number of different features of the +preprocessed signal. As a population, they hence represent the signal in a +higher-dimensional space than the preceding receptor neurons and local +interneurons. Each ascending neuron is assumed to scan the signal for a +specific template pattern, which can be thought of as a kernel of a particular +structure and on a particular time scale. This process, known as template +matching, can be modelled as a convolution \begin{equation} c_i(t)\,=\,\adapt(t)\,*\,k_i(t) = \infint \adapt(\tau)\,\cdot\,k_i(t\,-\,\tau)\,d\tau \label{eq:conv} \end{equation} -% +of the intensity-adapted envelope $\adapt(t)$ with a kernel $k_i(t)$ per +ascending neuron. We used Gabor kernels as basis functions for creating +different preferred patterns. An arbitrary one-dimensional, real Gabor kernel +is generated by multiplication of a Gaussian envelope and a sinusoidal carrier +\begin{equation} + k_i(t,\,\kwi,\,\kfi,\,\kpi)\,=\,e^{-\frac{t^{2}}{2{\kwi}^{2}}}\,\cdot\,\sin(\kfi\,t\,+\,\kpi), \qquad \kfi\,=\,2\pi f_{sin} + \label{eq:gabor} +\end{equation} +with Gaussian standard deviation or kernel width $\kwi$, carrier frequency +$\kfi$, and carrier phase $\kpi$. Different combinations of $\kwi$, $\kfi$, and +$\kpi$ result in Gabor kernels with different lobe number $\kni$ and sign +$\ksi$. If the function space is constrained to only include mirror- or +point-symmetric Gabor kernels, frequency $\kf$ is related to lobe number $\kn$ +by +\begin{equation} + \kp(\kn,\,\ks)\,=\,0.5\,\cdot\,(1\,-\,\text{mod}[\kn,\,2]\,+\,\ks) +\end{equation} +which results in the specific phase values shown in +Table\,\mbox{\ref{tab:gabor_phases}}. + +\FloatBarrier +\begin{table}[!ht] + \centering + \captionsetup{width=.55\textwidth} + \caption{} + \begin{tabular}{|ccc|} + \hline + sign $\ks$ & even $\kn$ & odd $\kn$\\ + \hline + +1 & $+\pi\,/\,2$ & $\pi$\\ + -1 & $-\pi\,/\,2$ & $0$\\ + \hline + \end{tabular} + \label{tab:gabor_phases} +\end{table} +\FloatBarrier +In order to create a Gabor kernel with a specific lobe number $\kn$ and kernel +width $\kw$, frequency $\kf$ has to be set to +\begin{equation} + \kf(\kn,\,\kw)\,=\,\frac{\kn}{2\pi\,\kw} +\end{equation} + +\textbf{Stage-specific processing steps and functional approximations:} + Thresholding nonlinearity in ascending neurons (or further downstream)\\ - Binarization of AN response traces into "relevant" vs. "irrelevant"\\ $\rightarrow$ Shifted Heaviside step-function $\nl$ (or steep sigmoid threshold?)

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