Jan und Fabian spellchecker
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@@ -1,4 +1,4 @@
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\documentclass[addpoints,10pt]{exam}
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\documentclass[addpoints,11pt]{exam}
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\usepackage{url}
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\usepackage{color}
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\usepackage{hyperref}
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@@ -9,7 +9,7 @@
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\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
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-- 11/06/2014}
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%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
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\firstpagefooter{}{}{}
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\firstpagefooter{}{}{{\bf Supervisor:} Jan Benda}
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\runningfooter{}{}{}
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\pointsinmargin
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\bracketedpoints
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@@ -31,7 +31,7 @@
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% captionpos=t,
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xleftmargin=2em,
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xrightmargin=1em,
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% aboveskip=10pt,
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% aboveskip=11pt,
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%title=\lstname,
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% title={\protect\filename@parse{\lstname}\protect\filename@base.\protect\filename@ext}
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}
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@@ -63,19 +63,18 @@
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fano factor (the ratio between the variance and the mean of the
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spike counts)?
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\begin{parts}
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\part The neuron is implemented in the file \texttt{lifboltzmanspikes.m}.
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The neuron is implemented in the file \texttt{lifboltzmanspikes.m}.
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Call it with the following parameters:
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\begin{lstlisting}
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trials = 10;
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tmax = 50.0;
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Dnoise = 1.0;
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imax = 25.0;
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ithresh = 10.0;
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slope=0.2;
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input = 10.0;
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\begin{lstlisting}
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trials = 10;
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tmax = 50.0;
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Dnoise = 1.0;
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imax = 25.0;
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ithresh = 10.0;
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slope=0.2;
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input = 10.0;
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spikes = lifboltzmanspikes( trials, input, tmax, Dnoise, imax, ithresh, slope );
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spikes = lifboltzmanspikes( trials, input, tmax, Dnoise, imax, ithresh, slope );
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\end{lstlisting}
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The returned \texttt{spikes} is a cell array with \texttt{trials} elements, each being a vector
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of spike times (in seconds) computed for a duration of \texttt{tmax} seconds.
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@@ -83,6 +82,9 @@
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For the two inputs use $I_1=10$ and $I_2=I_1 + 1$.
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\begin{parts}
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\part
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First, show two raster plots for the responses to the two differrent stimuli.
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\part Measure the tuning curve of the neuron with respect to the input. That is,
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@@ -99,9 +101,9 @@
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the two stimuli can be distinguished based on the spike
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counts. Plot the dependence of this measure as a function of the observation time $W$.
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For which slopes can the two stimuli perfectly discriminated?
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For which slopes can the two stimuli be well discriminated?
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Hint: A possible readout is to set a threshold $n_{thresh}$ for
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\underline{Hint:} A possible readout is to set a threshold $n_{thresh}$ for
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the observed spike count. Any response smaller than the threshold
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assumes that the stimulus was $I_1$, any response larger than the
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threshold assumes that the stimulus was $I_2$. What is the
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