[projects] little updates
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@ -11,14 +11,12 @@ no statistics, but kmeans
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project_fano_slope
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project_fano_slope
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OK, difficult
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OK, difficult
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Add t-test
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project_fano_test
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project_fano_test
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OK -
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OK -
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project_fano_time
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project_fano_time
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OK, difficult
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OK, medium-difficult
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Add t-test
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project_ficurves
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project_ficurves
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OK, medium
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OK, medium
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@ -1,14 +1,10 @@
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BASENAME=$(subst project_,,$(notdir $(CURDIR)))
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BASENAME=$(subst project_,,$(notdir $(CURDIR)))
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latex:
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pdflatex $(BASENAME).tex
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pdflatex $(BASENAME).tex
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pdf: $(BASENAME).pdf
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pdf: $(BASENAME).pdf
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$(BASENAME).pdf : $(BASENAME).tex ../header.tex ../instructions.tex
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$(BASENAME).pdf : $(BASENAME).tex ../header.tex ../instructions.tex
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pdflatex -interaction=scrollmode $< | tee /dev/stderr | fgrep -q "Rerun to get cross-references right" && pdflatex -interaction=scrollmode $< || true
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pdflatex -interaction=scrollmode $< | tee /dev/stderr | fgrep -q "Rerun to get" && pdflatex -interaction=scrollmode $< || true
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watch :
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watch :
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@ -19,7 +15,11 @@ clean:
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rm -rf *.log *.aux *.out auto
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rm -rf *.log *.aux *.out auto
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rm -f `basename *.tex .tex`.pdf
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rm -f `basename *.tex .tex`.pdf
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rm -f *.zip
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rm -f *.zip
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pdflatex $(BASENAME).tex
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latex:
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pdflatex $(BASENAME).tex
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zip: latex
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zip: pdf
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rm -f zip $(BASENAME).zip
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rm -f zip $(BASENAME).zip
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zip $(BASENAME).zip *.pdf *.m data/* $(ZIPFILES)
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zip $(BASENAME).zip *.pdf *.m data/* $(ZIPFILES)
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@ -1,6 +1,6 @@
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\documentclass[a4paper,12pt,pdftex]{exam}
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\documentclass[a4paper,12pt,pdftex]{exam}
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\newcommand{\ptitle}{Stimulus discrimination}
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\newcommand{\ptitle}{Stimulus discrimination: gain}
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\input{../header.tex}
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\input{../header.tex}
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\firstpagefooter{Supervisor: Jan Benda}{phone: 29 74573}%
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\firstpagefooter{Supervisor: Jan Benda}{phone: 29 74573}%
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{email: jan.benda@uni-tuebingen.de}
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{email: jan.benda@uni-tuebingen.de}
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@ -95,10 +95,11 @@ spikes = lifboltzmanspikes(trials, input, tmax, gain);
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the neuron? Plot them for the four different values of the gain
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the neuron? Plot them for the four different values of the gain
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used in (a).
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used in (a).
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\part Think about a measure based on the spike-count histograms
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\part \label{discrmeasure} Think about a measure based on the
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that quantifies how well the two stimuli can be distinguished
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spike-count histograms that quantifies how well the two stimuli
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based on the spike counts. Plot the dependence of this measure as
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can be distinguished based on the spike counts. Plot the
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a function of the gain of the neuron.
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dependence of this measure as a function of the gain of the
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neuron.
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%
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%
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For which gains can the two stimuli perfectly discriminated?
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For which gains can the two stimuli perfectly discriminated?
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@ -110,6 +111,11 @@ spikes = lifboltzmanspikes(trials, input, tmax, gain);
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results in the best discrimination performance. How can you
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results in the best discrimination performance. How can you
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quantify ``best discrimination'' performance?
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quantify ``best discrimination'' performance?
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\part Another way to quantify the discriminability of the spike
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counts in response to the two stimuli is to apply an appropriate
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statistical test and check for significant differences. How does
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this compare to your findings from (\ref{discrmeasure})?
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\end{parts}
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\end{parts}
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\end{questions}
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\end{questions}
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@ -1,6 +1,6 @@
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\documentclass[a4paper,12pt,pdftex]{exam}
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\documentclass[a4paper,12pt,pdftex]{exam}
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\newcommand{\ptitle}{Stimulus discrimination}
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\newcommand{\ptitle}{Stimulus discrimination: time}
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\input{../header.tex}
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\input{../header.tex}
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\firstpagefooter{Supervisor: Jan Benda}{phone: 29 74573}%
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\firstpagefooter{Supervisor: Jan Benda}{phone: 29 74573}%
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{email: jan.benda@uni-tuebingen.de}
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{email: jan.benda@uni-tuebingen.de}
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@ -87,10 +87,11 @@ input = 15.0; % I_2
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observation time $T$? Plot them for four different values of $T$
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observation time $T$? Plot them for four different values of $T$
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(use values of 10\,ms, 100\,ms, 300\,ms and 1\,s).
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(use values of 10\,ms, 100\,ms, 300\,ms and 1\,s).
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\part Think about a measure based on the spike-count histograms
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\part \label{discrmeasure} Think about a measure based on the
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that quantifies how well the two stimuli can be distinguished
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spike-count histograms that quantifies how well the two stimuli
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based on the spike counts. Plot the dependence of this measure as
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can be distinguished based on the spike counts. Plot the
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a function of the observation time $T$.
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dependence of this measure as a function of the observation time
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$T$.
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For which observation times can the two stimuli perfectly
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For which observation times can the two stimuli perfectly
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discriminated?
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discriminated?
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@ -103,6 +104,11 @@ input = 15.0; % I_2
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results in the best discrimination performance. How can you
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results in the best discrimination performance. How can you
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quantify ``best discrimination'' performance?
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quantify ``best discrimination'' performance?
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\part Another way to quantify the discriminability of the spike
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counts in response to the two stimuli is to apply an appropriate
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statistical test and check for significant differences. How does
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this compare to your findings from (\ref{discrmeasure})?
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\end{parts}
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\end{parts}
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\end{questions}
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\end{questions}
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@ -96,7 +96,7 @@ time = [0.0:dt:tmax]; % t_i
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Write a function that implements this leaky integrate-and-fire
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Write a function that implements this leaky integrate-and-fire
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neuron by expanding the function for the passive neuron
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neuron by expanding the function for the passive neuron
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appropriate. The function returns a vector of spike times.
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appropriately. The function returns a vector of spike times.
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Illustrate how this model works by appropriate plot(s) and
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Illustrate how this model works by appropriate plot(s) and
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input(s) $E(t)$, e.g. constant inputs lower and higher than the
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input(s) $E(t)$, e.g. constant inputs lower and higher than the
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@ -115,8 +115,8 @@ time = [0.0:dt:tmax]; % t_i
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r = \frac{n-1}{t_n - t_1}
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r = \frac{n-1}{t_n - t_1}
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\end{equation}
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\end{equation}
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What do you observe? Does the firing rate encode the frequency of
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What do you observe? Does the firing rate encode the frequency of
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the stimulus? Look at the spike trains in response the sine waves
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the stimulus? Look at the spike trains in response to the sine
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to figure out what is going on.
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waves to figure out what is going on.
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\end{parts}
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\end{parts}
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\end{questions}
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\end{questions}
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@ -63,8 +63,8 @@ spikes = lifspikes(trials, current, tmax, Dnoise);
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of this neuron?
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of this neuron?
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\part Compute the $f$-$I$ curves of neurons with various noise
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\part Compute the $f$-$I$ curves of neurons with various noise
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strengths \texttt{Dnoise}. Use for example $D_{noise} = 1e-3$,
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strengths \texttt{Dnoise}. Use for example $D_{noise} = 10^{-3}$,
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$1e-2$, and $1e-1$.
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$10^{-2}$, and $10^{-1}$.
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How does the intrinsic noise influence the response curve?
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How does the intrinsic noise influence the response curve?
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@ -76,6 +76,8 @@ spikes = lifspikes(trials, current, tmax, Dnoise);
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responses of the four different neurons to the same input, or by
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responses of the four different neurons to the same input, or by
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the same resulting mean firing rate.
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the same resulting mean firing rate.
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How do the responses differ?
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\part Let's now use as an input to the neuron a 1\,s long sine
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\part Let's now use as an input to the neuron a 1\,s long sine
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wave $I(t) = I_0 + A \sin(2\pi f t)$ with offset current $I_0$,
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wave $I(t) = I_0 + A \sin(2\pi f t)$ with offset current $I_0$,
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amplitude $A$, and frequency $f$. Set $I_0=5$, $A=4$, and
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amplitude $A$, and frequency $f$. Set $I_0=5$, $A=4$, and
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@ -32,9 +32,8 @@ In you zip file you find a natural image called {\tt natimg.jpg}.
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\begin{thebibliography}{1}
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\begin{thebibliography}{1}
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\bibitem{BG} Buchsbaum, G., \& Gottschalk, A. (1983). Trichromacy,
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\bibitem{BG} Buchsbaum, G., \& Gottschalk, A. (1983). Trichromacy,
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opponent colours coding and optimum colour information transmission
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opponent colours coding and optimum colour information transmission
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in the retina. Proceedings of the Royal Society of London. Series B,
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in the retina. Proceedings of the Royal Society of London B. Royal
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Containing Papers of a Biological Character. Royal Society (Great
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Society (Great Britain), 220(1218), 89–113.
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Britain), 220(1218), 89–113.
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\end{thebibliography}
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\end{thebibliography}
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