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[projects] fixed population vector

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Jan Benda 2021-01-31 21:12:56 +01:00
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projects/project_populationvector/populationvector.tex
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\begin{questions} \begin{questions}
\question In the visual cortex V1 orientation sensitive neurons \question In the visual cortex V1 orientation sensitive neurons
respond to bars in dependence on their orientation. respond to bars in dependence on their orientation. In this project
we explore the question:
How is the orientation of a bar encoded by the activity of a How is the orientation of a bar encoded by the activity of a
population of orientation sensitive neurons? population of orientation sensitive neurons?
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position of the peak, $g$ is a gain factor that sets the position of the peak, $g$ is a gain factor that sets the
modulation depth of the firing rate, and $a$ is an offset. modulation depth of the firing rate, and $a$ is an offset.
Why is there a factor two in the argument of the cosine?
\part How can the orientation angle of the presented bar be read \part How can the orientation angle of the presented bar be read
out from one trial of the population activity of the 6 neurons? out from one trial of the population activity of the 6 neurons?
One possible method is the so called ``population vector'' where One possible method is the so called ``population vector'' where
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\texttt{population*.mat} files). How exactly is the orientation of \texttt{population*.mat} files). How exactly is the orientation of
the bar encoded? How robust is the estimate of the orientation the bar encoded? How robust is the estimate of the orientation
from trial to trial? from trial to trial?
\part Can you think of yet another strategy to estimate the
orientation of the bar from the activity of the neurons?
\end{parts} \end{parts}
\end{questions} \end{questions}