[stim_reconstruction] slightly different explanaition of sta
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@ -4,6 +4,7 @@ Add plotting of cost function
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project_eod
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OK, medium - difficult
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b_0 is not defined
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project_eyetracker
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OK, difficult
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@ -1,15 +0,0 @@
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(TeX-add-style-hook
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"face_selectivity"
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(lambda ()
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(TeX-add-to-alist 'LaTeX-provided-class-options
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'(("exam" "a4paper" "12pt" "pdftex")))
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(TeX-run-style-hooks
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"latex2e"
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"../header"
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"../instructions"
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"exam"
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"exam12")
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(TeX-add-symbols
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"ptitle"))
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:latex)
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@ -13,13 +13,16 @@
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\section*{Reverse reconstruction of the stimulus that evoked a neuronal response.}
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To analyse encoding properties of a neuron one often calculates the
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Spike-Triggered-Average (STA). The STA is the average stimulus that
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led to a spike in the neuron and is calculated by cutting out snippets
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form the stimulus centered on the respective spike time:
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led to a spike in the neuron:
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\[ STA(\tau) = \frac{1}{n} \displaystyle\sum_{i=1}^{n}{s(t_i - \tau)} \]
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where $n$ is the number of trials and $t_i$ is the time of the
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$i_{th}$ spike. The Spike-Triggered-Average can be used to reconstruct
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the stimulus from the neuronal response. The reconstructed stimulus
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can then be compared to the original stimulus.
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where $n$ is the number of spikes and $t_i$ is the time of the
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$i_{th}$ spike. $\tau$ is a temporal shift relative to the spike
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time. For the beginning let $\tau$ assume values in the range
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$\pm50$\,ms. It can be estimated by cutting out snippets form the
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stimulus centered on the respective spike time and averaging them. The
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Spike-Triggered-Average can be used to reconstruct the stimulus from
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the neuronal response. The reconstructed stimulus can then be compared
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to the original stimulus.
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\begin{questions}
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\question In the accompanying data files you find the spike responses of
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