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changed colors of boxkde and weighted average

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toni
2018-09-20 13:46:03 +02:00
parent 3fd79ed899
commit c6934282d8
12 changed files with 83452 additions and 45398 deletions
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tex/chapters/estimation.tex
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@@ -23,7 +23,7 @@ With this representation a point estimator can directly be applied to the sample
A popular point estimate, which can be directly obtained from the sample set, is the minimum mean squared error (MMSE) estimate.
In the case of particle filters the MMSE estimate equals to the weighted-average over all samples, \ie{} the sample mean
\begin{equation}
\hat{\mStateVec}_t := \frac{1}{W_t} \sum_{i=1}^{N} w^i_t \mStateVec^i_t \, \text{,}
\hat{\mStateVec}_t := \frac{1}{W_t} \sum_{i=1}^{N} w^i_t \vec{X}^i_{t} \, \text{,}
\end{equation}
%\commentByMarkus{Passt die Notation so?}
%\commentByFrank{sieht fuer mich auf den ersten blick nach korrektem weighted average aller partikel aus. was stoert dich?}
@@ -60,5 +60,5 @@ Computation of the KDE with a Gaussian kernel on the binned data becomes analogo
Our rapid computation scheme of the KDE is fast enough to estimate the density of the posterior in each time step.
This allows us to recover the most prober state from occurring multimodal posterior.
\todo{Hier ist es mir tatsächlich noch etwas zu dünn. Könnte man nicht noch ein paar essentielle Details über den boxKDE verlieren? Spontan fällt mir zwar nichts ein. Aber der Wunsch ist da.}