toni changes in franks part
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@@ -258,9 +258,11 @@
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\newcommand{\pathRef}{v_\text{ref}}
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Before every transition, the centre-position $\pathCentroid = (x,y,z)^T$ of the current
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\commentByFrank{reicht das so schon?}
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sample-set, representing the posterior distribution at time $t-1$, is calculated.
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Before every transition, the centre-position $\pathCentroid = \fPos{\mStateVec_{t-1}^*}$ of the current sample-set, where
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\begin{equation}
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\mStateVec_{t-1}^* = \underset{\mStateVec_{t-1}}{\argmax} \enspace p(\mStateVec_{t-1} | \mObsVec_{t-1})
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\end{equation}
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represents the most proper state of the posterior distribution at time $t-1$, is calculated.
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%
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%
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%\commentByFrank{avg-state vom sample-set. frank d. meinte ja hier muessen wir aufpassen. bin noch unschluessig wie.}
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@@ -345,8 +347,8 @@
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\caption{Heat-Map showing the number of visits per vertex after $30.000$ walks using \refeq{eq:transMultiPath}.
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Both possible paths are covered and slight deviations are possible.
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Additionally shows the shortest-path calculation without (dashed) and with (solid) importance-factors
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used for edge-weight-adjustment.
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\commentByFrank{so besser?}}
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used for edge-weight-adjustment.}
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\commentByFrank{so besser?}
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\label{fig:multiHeatMap}
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\end{figure}
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