62 lines
2.0 KiB
TeX
62 lines
2.0 KiB
TeX
\documentclass[addpoints,11pt]{exam}
|
|
\usepackage{url}
|
|
\usepackage{color}
|
|
\usepackage{hyperref}
|
|
|
|
\pagestyle{headandfoot}
|
|
\runningheadrule
|
|
\firstpageheadrule
|
|
\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
|
|
-- 11/06/2014}
|
|
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
|
|
\firstpagefooter{}{}{}
|
|
\runningfooter{}{}{}
|
|
\pointsinmargin
|
|
\bracketedpoints
|
|
|
|
%\printanswers
|
|
%\shadedsolutions
|
|
|
|
|
|
\begin{document}
|
|
%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\sffamily
|
|
% \begin{flushright}
|
|
% \gradetable[h][questions]
|
|
% \end{flushright}
|
|
|
|
\begin{center}
|
|
\input{../disclaimer.tex}
|
|
\end{center}
|
|
|
|
%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\section*{Reverse reconstruction of the stimulus evoking neuronal responses.}
|
|
During the course we have used the Spike-Triggered-Average to
|
|
reconstruct the stimulus a neuron has been stimulated with.
|
|
\begin{questions}
|
|
\question In the accompanying files you find the spike responses of
|
|
P-units and pyramidal neurons of the weakly electric fish
|
|
\textit{Apteronotus leptorhynchus}. The respective stimuli are
|
|
stored in separate files. Start with the P-unit and, in the end,
|
|
apply the same functions to the pyramidal data.
|
|
\begin{parts}
|
|
\part Estimate the STA and plot it.
|
|
\part Implement a function that estimates the reconstruction
|
|
error using the mean-square-error and express it relative to the
|
|
variance of the original stimulus.
|
|
\begin{equation}
|
|
err = \frac{1}{N} \cdot \displaystyle\sum^{N}_{i=1}(x_i - \bar{x}),
|
|
\end{equation}
|
|
with $N$ the number of data points, $x_i$ the current value and
|
|
$\bar{x}$, the average of all $x$.
|
|
\part Analyze the robustness of the reconstruction. Estimate
|
|
the STA with less and less data and estimate the reconstruction
|
|
error.
|
|
\part Plot the reconstruction error as a function of the data
|
|
amount used to estimate the STA.
|
|
\part Do the same for the pyramidal neuron, what do you observe?
|
|
\end{parts}
|
|
\end{questions}
|
|
|
|
\end{document}
|