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cite.bib
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cite.bib
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publisher={Springer}
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publisher={Springer}
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}# Cited
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}# Cited
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@article{stumpner1991auditory,
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title={Auditory interneurones in the metathoracic ganglion of the grasshopper Chorthippus biguttulus: I. Morphological and physiological characterization},
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author={Stumpner, Andreas and Ronacher, Bernhard},
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journal={Journal of Experimental Biology},
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volume={158},
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number={1},
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pages={391--410},
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year={1991},
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publisher={The Company of Biologists Ltd}
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}# Cited
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@article{stumpner1994song,
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@article{stumpner1994song,
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title={{Song production and song recognition in a group of sibling grasshopper species (Chorthippus dorsatus, Ch. dichrous and Ch. loratus: Orthoptera, Acrididae)}},
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title={{Song production and song recognition in a group of sibling grasshopper species (Chorthippus dorsatus, Ch. dichrous and Ch. loratus: Orthoptera, Acrididae)}},
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author={Stumpner, Andreas and von Helversen, Otto},
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author={Stumpner, Andreas and von Helversen, Otto},
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@ -715,6 +726,17 @@
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year={1994},
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year={1994},
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}# Cited
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}# Cited
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@article{stumpner1994neurophysiological,
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title={Neurophysiological aspects of song pattern recognition and sound localization in grasshoppers},
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author={Stumpner, Andreas and Ronacher, Bernhard},
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journal={American zoologist},
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volume={34},
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number={6},
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pages={696--705},
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year={1994},
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publisher={Oxford University Press UK}
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}
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@article{suga1960peripheral,
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@article{suga1960peripheral,
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title={Peripheral mechanism of hearing in locust},
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title={Peripheral mechanism of hearing in locust},
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author={Suga, Nobuo},
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author={Suga, Nobuo},
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BIN
literature/Stumpner_Ronacher_1994.pdf
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main.aux
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main.aux
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\relax
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\@nameuse{bbl@beforestart}
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\abx@aux@refcontext{nyt/global//global/global}
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\abx@aux@cite{0}{helversen1972gesang}
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\abx@aux@segm{0}{0}{ronacher1986routes}
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\@writefile{toc}{\contentsline {section}{\numberline {1}Exploring a grasshopper's sensory world}{1}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Feature extraction by individual neurons}{7}{}\protected@file@percent }
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\newlabel{eq:conv}{{5}{8}{}{}{}}
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\newlabel{eq:lowpass}{{10}{9}{}{}{}}
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\@writefile{toc}{\contentsline {section}{\numberline {3}Two mechanisms driving the emergence of intensity-invariant song representation}{9}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Threshold nonlinearity \& temporal averaging}{11}{}\protected@file@percent }
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\abx@aux@cite{0}{stumpner1991auditory}
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\abx@aux@segm{0}{0}{stumpner1991auditory}
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\@writefile{toc}{\contentsline {section}{\numberline {4}Discriminating species-specific song\\patterns in feature space}{13}{}\protected@file@percent }
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\abx@aux@page{73}{13}
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\gdef\svg@ink@ver@settings{{\m@ne }{inkscape}{\m@ne }}
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\gdef\svg@ink@ver@settings{{\m@ne }{inkscape}{\m@ne }}
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\abx@aux@read@bbl@mdfivesum{57AF6218181E1F5D094BD77E848A7130}
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\abx@aux@read@bbl@mdfivesum{1380DC8C93D2855FDB132CC5A40AD52F}
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\gdef \@abspage@last{13}
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\gdef \@abspage@last{13}
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main.bbl
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main.bbl
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\range{pages}{10}
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\range{pages}{10}
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\endentry
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\endentry
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\entry{stumpner1994song}{article}{}
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\entry{stumpner1994song}{article}{}
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\name{author}{2}{}{%
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\name{author}{2}{ul=2}{%
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{{un=0,uniquepart=base,hash=a7bef35fb61ea64e0f04d6c87e5aa622}{%
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{{un=0,uniquepart=base,hash=a7bef35fb61ea64e0f04d6c87e5aa622}{%
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family={Stumpner},
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family={Stumpner},
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familyi={S\bibinitperiod},
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familyi={S\bibinitperiod},
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given={Andreas},
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given={Andreas},
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giveni={A\bibinitperiod},
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giveni={A\bibinitperiod},
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givenun=0}}%
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givenun=0}}%
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{{un=0,uniquepart=base,hash=ecb958a09c71420bd1e10f3fee8c24ac}{%
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{{un=1,uniquepart=given,hash=ecb958a09c71420bd1e10f3fee8c24ac}{%
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family={Helversen},
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family={Helversen},
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familyi={H\bibinitperiod},
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familyi={H\bibinitperiod},
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given={Otto},
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given={Otto},
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giveni={O\bibinitperiod},
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giveni={O\bibinitperiod},
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givenun=0,
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givenun=1,
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prefix={von},
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prefixi={v\bibinitperiod},
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prefixun=0}}%
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prefixun=0}}%
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@ -1987,6 +1987,44 @@
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\field{pages}{1\bibrangedash 23}
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\field{pages}{1\bibrangedash 23}
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\range{pages}{23}
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\range{pages}{23}
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\endentry
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\endentry
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\entry{stumpner1991auditory}{article}{}
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\name{author}{2}{ul=2}{%
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{{un=0,uniquepart=base,hash=a7bef35fb61ea64e0f04d6c87e5aa622}{%
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family={Stumpner},
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familyi={S\bibinitperiod},
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givenun=0}}%
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{{un=0,uniquepart=base,hash=4ce9349f95ced7a4831a5efa0fe5b00f}{%
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family={Ronacher},
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familyi={R\bibinitperiod},
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given={Bernhard},
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giveni={B\bibinitperiod},
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givenun=0}}%
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}
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\list{publisher}{1}{%
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{The Company of Biologists Ltd}%
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}
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\strng{namehash}{c6b9dac84d9d74ba87037123f4e21034}
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\strng{fullhash}{c6b9dac84d9d74ba87037123f4e21034}
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\strng{bibnamehash}{c6b9dac84d9d74ba87037123f4e21034}
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\strng{authorbibnamehash}{c6b9dac84d9d74ba87037123f4e21034}
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\strng{authornamehash}{c6b9dac84d9d74ba87037123f4e21034}
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\strng{authorfullhash}{c6b9dac84d9d74ba87037123f4e21034}
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\field{sortinit}{S}
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\field{sortinithash}{b164b07b29984b41daf1e85279fbc5ab}
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\field{extradatescope}{labelyear}
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\field{labeldatesource}{}
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\field{labelnamesource}{author}
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\field{labeltitlesource}{title}
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\field{journaltitle}{Journal of Experimental Biology}
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\field{number}{1}
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\field{title}{Auditory interneurones in the metathoracic ganglion of the grasshopper Chorthippus biguttulus: I. Morphological and physiological characterization}
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\field{volume}{158}
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\field{year}{1991}
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\field{pages}{391\bibrangedash 410}
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\range{pages}{20}
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\endentry
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\entry{suga1960peripheral}{article}{}
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\entry{suga1960peripheral}{article}{}
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\name{author}{1}{}{%
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{{un=0,uniquepart=base,hash=cb8492490b7b1d1c021ccd740577eab6}{%
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{{un=0,uniquepart=base,hash=cb8492490b7b1d1c021ccd740577eab6}{%
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4
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<bcf:citekey order="67" intorder="1">fisch2012channel</bcf:citekey>
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<bcf:citekey order="67" intorder="1">fisch2012channel</bcf:citekey>
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<bcf:citekey order="68" intorder="1">hildebrandt2009origin</bcf:citekey>
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<bcf:citekey order="68" intorder="1">hildebrandt2009origin</bcf:citekey>
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<bcf:citekey order="69" intorder="1">clemens2010intensity</bcf:citekey>
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<bcf:citekey order="70" intorder="1">ronacher1986routes</bcf:citekey>
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<bcf:citekey order="71" intorder="1">bauer1987separate</bcf:citekey>
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<bcf:citekey order="72" intorder="1">bhavsar2017brain</bcf:citekey>
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<bcf:citekey order="73" intorder="1">stumpner1991auditory</bcf:citekey>
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</bcf:section>
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[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 82, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 82, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 91, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 91, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 100, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 100, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 109, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 109, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 118, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 118, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 127, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 127, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 136, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 136, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 157, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 157, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 178, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 178, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 187, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 187, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 196, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 196, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 207, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 207, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 218, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 218, warning: 6 characters of junk seen at toplevel
|
||||||
[313] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 229, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 229, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 240, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 240, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 249, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 249, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 258, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 258, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 269, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 269, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 278, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 278, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 289, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 289, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 300, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 300, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 309, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 309, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 328, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 328, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 337, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 337, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 400, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 400, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 419, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 419, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 428, warning: 6 characters of junk seen at toplevel
|
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 428, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 437, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 437, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 456, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 456, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 491, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 491, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 526, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 526, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 535, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 535, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 556, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 556, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 565, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 565, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 576, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 576, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 587, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 587, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 619, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 619, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 648, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 648, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 658, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 658, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 667, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 667, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 688, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 688, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 709, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 709, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 718, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 720, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 727, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 729, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 744, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 749, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 753, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 766, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 778, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 775, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_y05O/347c261ec4135a5723bef5c751f5078f_138527.utf8, line 795, warning: 6 characters of junk seen at toplevel
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 800, warning: 6 characters of junk seen at toplevel
|
||||||
[314] Biber.pm:133> INFO - WARNINGS: 54
|
[315] Biber.pm:131> WARN - BibTeX subsystem: /tmp/biber_tmp_kvhD/347c261ec4135a5723bef5c751f5078f_27267.utf8, line 817, warning: 6 characters of junk seen at toplevel
|
||||||
|
[315] Biber.pm:133> INFO - WARNINGS: 55
|
||||||
|
|||||||
@ -1,14 +1,14 @@
|
|||||||
# Fdb version 4
|
# Fdb version 4
|
||||||
["biber main"] 1770822298.23951 "main.bcf" "main.bbl" "main" 1770822377.68945 0
|
["biber main"] 1770908135.92672 "main.bcf" "main.bbl" "main" 1770909740.85496 0
|
||||||
"cite.bib" 1770643506.04124 26738 a3ecf998ef3fd04ce34f87829707ecb5 ""
|
"cite.bib" 1770904753.08918 27483 4290db0c91f7b5055e25472ef913f6b4 ""
|
||||||
"main.bcf" 1770822377.6415 112636 ed1c2081e91b30dff1dc7040d84b8374 "pdflatex"
|
"main.bcf" 1770909740.80982 112931 2a478116d80ebb1ada7083a24facd6e3 "pdflatex"
|
||||||
(generated)
|
(generated)
|
||||||
"main.bbl"
|
"main.bbl"
|
||||||
"main.blg"
|
"main.blg"
|
||||||
(rewritten before read)
|
(rewritten before read)
|
||||||
["pdflatex"] 1770822376.87226 "/home/hartling/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1770822377.68966 0
|
["pdflatex"] 1770909740.04415 "/home/hartling/phd/paper/paper_2025/main.tex" "main.pdf" "main" 1770909740.85516 0
|
||||||
"/etc/texmf/web2c/texmf.cnf" 1761560044.43676 475 c0e671620eb5563b2130f56340a5fde8 ""
|
"/etc/texmf/web2c/texmf.cnf" 1761560044.43676 475 c0e671620eb5563b2130f56340a5fde8 ""
|
||||||
"/home/hartling/phd/paper/paper_2025/main.tex" 1770822376.79351 37182 825845e9a021bafdd9886a5b499d79fd ""
|
"/home/hartling/phd/paper/paper_2025/main.tex" 1770909739.95483 39127 a7cd2ca5121e6f89fb995bfcbb00bb76 ""
|
||||||
"/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
|
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\OT1/cmr/m/n/12 curve over log-a-rith-mi-cally com-pressed in-ten-sity lev-els ([]; []).
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\OT1/cmr/m/n/12 the sub-se-quent lo-cal in-terneu-rons ([]; [])
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\OT1/cmr/m/n/12 the sub-se-quent lo-cal in-terneu-rons ([]; [])
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[]\OT1/cmr/bx/n/17.28 Two mech-a-nisms driv-ing the emer-gence of intensity-
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[]\OT1/cmr/bx/n/17.28 Two mech-a-nisms driv-ing the emer-gence of intensity-
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<file>authoryear.cbx</file>
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@ -12,6 +12,9 @@
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\usepackage{amssymb}
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\usepackage{amssymb}
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\usepackage{subcaption}
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\usepackage{subcaption}
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\usepackage[labelfont=bf, textfont=small]{caption}
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\usepackage[separate-uncertainty=true, locale=DE]{siunitx}
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\sisetup{output-exponent-marker=\ensuremath{\mathrm{e}}}
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\sisetup{output-exponent-marker=\ensuremath{\mathrm{e}}}
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% \usepackage[capitalize]{cleveref}
|
% \usepackage[capitalize]{cleveref}
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@ -66,14 +69,18 @@
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|||||||
\newcommand{\kf}{\omega} % Unspecific Gabor kernel frequency
|
\newcommand{\kf}{\omega} % Unspecific Gabor kernel frequency
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||||||
\newcommand{\kp}{\phi} % Unspecific Gabor kernel phase
|
\newcommand{\kp}{\phi} % Unspecific Gabor kernel phase
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\newcommand{\kn}{n} % Unspecific Gabor kernel lobe number
|
\newcommand{\kn}{n} % Unspecific Gabor kernel lobe number
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\newcommand{\ks}{s} % Unspecific Gabor kernel sign
|
% \newcommand{\ks}{s} % Unspecific Gabor kernel sign
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\newcommand{\kwi}{\kw_i} % Specific Gabor kernel width
|
\newcommand{\kwi}{\kw_i} % Specific Gabor kernel width
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\newcommand{\kfi}{\kf_i} % Specific Gabor kernel frequency
|
\newcommand{\kfi}{\kf_i} % Specific Gabor kernel frequency
|
||||||
\newcommand{\kpi}{\kp_i} % Specific Gabor kernel phase
|
\newcommand{\kpi}{\kp_i} % Specific Gabor kernel phase
|
||||||
\newcommand{\kni}{\kn_i} % Specific Gabor kernel lobe number
|
\newcommand{\kni}{\kn_i} % Specific Gabor kernel lobe number
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||||||
\newcommand{\ksi}{\ks_i} % Specific Gabor kernel sign
|
% \newcommand{\ksi}{\ks_i} % Specific Gabor kernel sign
|
||||||
\newcommand{\rh}{\text{RH}} % Relative Gaussian height for FWRH
|
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|
% Math shorthands - Auxiliary kernel parameters:
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|
\newcommand{\fsin}{f_{\text{sin}}} % Carrier frequency
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|
\newcommand{\rh}{h_{\text{rel}}} % Relative Gaussian height for FWRH
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\newcommand{\fwrh}{\text{FWRH}} % Gaussian full-width at relative height
|
\newcommand{\fwrh}{\text{FWRH}} % Gaussian full-width at relative height
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\newcommand{\off}{\beta_0} % Offset for linear frequency approximation
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% Math shorthands - Threshold nonlinearity:
|
% Math shorthands - Threshold nonlinearity:
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\newcommand{\thr}{\Theta_i} % Step function threshold value
|
\newcommand{\thr}{\Theta_i} % Step function threshold value
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@ -421,58 +428,62 @@ ascending neuron. We use Gabor kernels as basis functions for creating
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different template patterns. An arbitrary one-dimensional, real Gabor kernel is
|
different template patterns. An arbitrary one-dimensional, real Gabor kernel is
|
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generated by multiplication of a Gaussian envelope and a sinusoidal carrier
|
generated by multiplication of a Gaussian envelope and a sinusoidal carrier
|
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\begin{equation}
|
\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}
|
k_i(t,\,\kwi,\,\kfi,\,\kpi)\,=\,e^{-\frac{t^{2}}{2{\kwi}^{2}}}\,\cdot\,\sin(\kfi\,t\,+\,\kpi), \qquad \kfi\,=\,2\pi\fsin
|
||||||
\label{eq:gabor}
|
\label{eq:gabor}
|
||||||
\end{equation}
|
\end{equation}
|
||||||
with Gaussian standard deviation or kernel width $\kwi$, carrier frequency
|
with Gaussian standard deviation or kernel width $\kwi$, carrier frequency
|
||||||
$\kfi$, and carrier phase $\kpi$. Different combinations of $\kw$, $\kf$, and
|
$\kfi$, and carrier phase $\kpi$. Different combinations of $\kw$ and $\kf$
|
||||||
$\kp$ result in Gabor kernels with different lobe number $\kn$, which is the
|
result in Gabor kernels with different lobe number $\kn$, which is the number
|
||||||
number of half-periods of the carrier that fit under the Gaussian envelope
|
of half-periods of the carrier that fit under the Gaussian envelope within
|
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within reasonable limits of attenuation. These limits are a matter of
|
reasonable limits of attenuation. The interval under the Gaussian envelope that
|
||||||
definition, since the Gaussian function never fully decays to zero. A good
|
contains the relevant lobes of the kernel can be defined as Gaussian full-width
|
||||||
measure is the Gaussian full-width at relative height, which can be calculated
|
measured at relative peak height $\rh$
|
||||||
as
|
|
||||||
\begin{equation}
|
\begin{equation}
|
||||||
\fwrh(\kw,\,\rh)\,=\,2\,\cdot\,\sqrt{-2\,\ln \rh}\cdot\,\kw, \qquad \rh\,\in\,(0,\,1]
|
\fwrh(\kw,\,\rh)\,=\,2\,\cdot\,\sqrt{-2\,\cdot\,\ln \rh}\cdot\,\kw, \qquad \rh\,\in\,(0,\,1]
|
||||||
\end{equation}
|
\end{equation}
|
||||||
With this, an appropriate carrier frequency $\kf$ for obtaining a Gabor kernel
|
With this, an appropriate carrier frequency $\kf$ for obtaining a Gabor kernel
|
||||||
with width $\kw$ and a desired lobe number $\kn$ can be approximated as
|
with width $\kw$ and desired lobe number $\kn$ can be approximated as
|
||||||
|
% \begin{equation}
|
||||||
|
% \kf(\kn,\,\fwrh)\,=\,\frac{0.5\,\cdot\,\kn\,+\,\off}{\fwrh}, \qquad \kn\,\geq\,2\enspace\forall\enspace \kn\,\in\,\mathbb{Z}
|
||||||
|
% \end{equation}
|
||||||
\begin{equation}
|
\begin{equation}
|
||||||
\kf(\kn,\,\fwrh)\,=\,\frac{0.5\,\cdot\,\kn\,+\,0.5}{\fwrh}
|
\kf(\kn,\,\kw,\,\rh)\,=\,\frac{\kn\,+\,\off}{4\,\cdot\,\sqrt{-2\,\cdot\,\ln \rh}}, \qquad \kn\,\geq\,2\enspace\forall\enspace \kn\,\in\,\mathbb{Z}
|
||||||
\end{equation}
|
\end{equation}
|
||||||
We restrict the Gabor kernels to be either even functions~(mirror-symmetric,
|
where $\off$ is a small positive offset to the near-linear relationship between
|
||||||
uneven $\kn$) or odd functions~(point-symmetric, even $\kn$). Under this
|
$\kf$ and $\kn$ to balance the amplitude of the $\kn$ desired lobes of the
|
||||||
condition, phase $\kp$ is related to lobe number $\kn$ by
|
kernel --- which should be maximized --- against the amplitude of the
|
||||||
\begin{equation}
|
next-outer lobes, which should not exceed the threshold value determined by
|
||||||
\kp(\kn,\,\ks)\,=\,0.5\,\cdot\,(1\,-\,\text{mod}[\kn,\,2]\,+\,\ks)
|
$\rh$. For $\kn=1$, carrier frequency $\kf$ is set to zero, which results in a
|
||||||
\label{eq:gabor_phase}
|
simple Gaussian kernel. Carrier phase $\kp$ determines the position of the
|
||||||
\end{equation}
|
kernel lobes relative to the kernel center. By setting $\kp$ to one of only
|
||||||
which results in the specific phase values shown in
|
four specific phase values~(Tab.\,\ref{tab:gabor_phases}), we restrict the
|
||||||
Table\,\mbox{\ref{tab:gabor_phase}}.
|
Gabor kernels to be either even functions~(mirror-symmetric, uneven $\kn$) or
|
||||||
|
odd functions~(point-symmetric, even $\kn$) with either positive or negative
|
||||||
|
sign, which refers to the sign of the kernel's central lobe (even kernels) or
|
||||||
|
the left of the two central lobes (odd kernels).
|
||||||
\FloatBarrier
|
\FloatBarrier
|
||||||
\begin{table}[!ht]
|
\begin{table}[!ht]
|
||||||
\centering
|
\centering
|
||||||
\captionsetup{width=.55\textwidth}
|
\captionsetup{width=.46\textwidth}
|
||||||
\caption{}
|
\caption{Values of phase $\kp$ that are specific for the four major groups
|
||||||
|
of Gabor kernels.}
|
||||||
\begin{tabular}{|ccc|}
|
\begin{tabular}{|ccc|}
|
||||||
\hline
|
\hline
|
||||||
sign $\ks$ & even $\kn$ & odd $\kn$\\
|
sign & even kernels & odd kernels\\
|
||||||
\hline
|
\hline
|
||||||
+1 & $+\pi\,/\,2$ & $\pi$\\
|
$+$ & $+\pi\,/\,2$ & $\pi$\\
|
||||||
-1 & $-\pi\,/\,2$ & $0$\\
|
$-$ & $-\pi\,/\,2$ & $0$\\
|
||||||
\hline
|
\hline
|
||||||
\end{tabular}
|
\end{tabular}
|
||||||
\label{tab:gabor_phase}
|
\label{tab:gabor_phases}
|
||||||
\end{table}
|
\end{table}
|
||||||
\FloatBarrier
|
\FloatBarrier
|
||||||
|
These four groups of Gabor kernels allow for the extraction of different types
|
||||||
|
of signal features, such as the presence of peaks (even, $+$), troughs (even,
|
||||||
\textbf{Stage-specific processing steps and functional approximations:}
|
$-$), onsets (odd, $+$), and offsets (odd, $-$) at various time scales.
|
||||||
|
Following the convolutional template matching, each kernel-specific response
|
||||||
Thresholding nonlinearity in ascending neurons (or further downstream)\\
|
$c_i(t)$ is passed through a shifted Heaviside step-function $\nl$ with threshold
|
||||||
- Binarization of AN response traces into "relevant" vs. "irrelevant"\\
|
value $\thr$ to obtain a binary response
|
||||||
$\rightarrow$ Shifted Heaviside step-function $\nl$ (or steep sigmoid threshold?)
|
|
||||||
%
|
|
||||||
\begin{equation}
|
\begin{equation}
|
||||||
b_i(t,\,\thr)\,=\,\begin{cases}
|
b_i(t,\,\thr)\,=\,\begin{cases}
|
||||||
\;1, \quad c_i(t)\,>\,\thr\\
|
\;1, \quad c_i(t)\,>\,\thr\\
|
||||||
@ -480,18 +491,23 @@ $\rightarrow$ Shifted Heaviside step-function $\nl$ (or steep sigmoid threshold?
|
|||||||
\end{cases}
|
\end{cases}
|
||||||
\label{eq:binary}
|
\label{eq:binary}
|
||||||
\end{equation}
|
\end{equation}
|
||||||
%
|
which can be thought of as a categorization into "relevant" and "irrelevant"
|
||||||
Temporal averaging by neurons of the central brain\\
|
response values. In the grasshopper, these threshold nonlinearities might
|
||||||
- Finalized set of slowly changing kernel-specific features (one per AN)\\
|
either be part of the processing within the ascending neurons or take place
|
||||||
- Different species-specific song patterns are characterized by a distinct combination
|
further downstream~(SOURCE). Finally, the responses of the ascending neurons
|
||||||
of feature values $\rightarrow$ Clusters in high-dimensional feature space\\
|
are assumed to be integrated somewhere in the supraesophageal
|
||||||
$\rightarrow$ Lowpass filter 1 Hz
|
ganglion~(\bcite{ronacher1986routes}; \bcite{bauer1987separate};
|
||||||
%
|
\bcite{bhavsar2017brain}). This processing step can be approximated as temporal
|
||||||
|
averaging of the binary responses $b_i(t)$ by a lowpass filter
|
||||||
\begin{equation}
|
\begin{equation}
|
||||||
f_i(t)\,=\,b_i(t)\,*\,\lp, \qquad \fc\,=\,1\,\text{Hz}
|
f_i(t)\,=\,b_i(t)\,*\,\lp, \qquad \fc\,=\,1\,\text{Hz}
|
||||||
\label{eq:lowpass}
|
\label{eq:lowpass}
|
||||||
\end{equation}
|
\end{equation}
|
||||||
%
|
to obtain a final set of slowly changing kernel-specific features $f_i(t)$. In
|
||||||
|
the resulting high-dimensional feature space, different species-specific song
|
||||||
|
patterns are characterized by a distinct combination of feature values, which
|
||||||
|
can be read out by a simple linear classifier.
|
||||||
|
|
||||||
\section{Two mechanisms driving the emergence of intensity-invariant song representation}
|
\section{Two mechanisms driving the emergence of intensity-invariant song representation}
|
||||||
|
|
||||||
\textbf{Definition of invariance (general, systemic):}\\
|
\textbf{Definition of invariance (general, systemic):}\\
|
||||||
@ -671,4 +687,8 @@ initiation of one behavior over another is categorical (e.g. approach/stay)
|
|||||||
|
|
||||||
\section{Conclusions \& outlook}
|
\section{Conclusions \& outlook}
|
||||||
|
|
||||||
|
The model pathway includes a rather large number of Gabor kernels compared to
|
||||||
|
the 15 to 20 ascending neurons in the grasshopper auditory
|
||||||
|
system~(\bcite{stumpner1991auditory}).
|
||||||
|
|
||||||
\end{document}
|
\end{document}
|
||||||
Loading…
Reference in New Issue
Block a user