rapport : model selection ajout
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\section[Capacity to distinguish models]{Capacity to distinguish
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\section[Capacity to distinguish models]{Capacity to distinguish
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$\pi\rho\text{-}colBiSBM$~from\newline$iid\text{-}colBiSBM$ and other
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$\pi\rho\text{-}colBiSBM$~from\newline
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$iid\text{-}colBiSBM$ and other
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models}\label{capacity-to-distinguish-pirhotext-colbisbm-from-iidtext-colbisbm-and-other-variants}
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models}\label{capacity-to-distinguish-pirhotext-colbisbm-from-iidtext-colbisbm-and-other-variants}
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The idea of this model selection simulations is to assess how the model
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The idea of this model selection simulations is to assess how the model
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select the correct \emph{colBiSBM} model among the possible ones:
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select the correct \emph{colBiSBM} model among the possible ones:
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\textit{iid, pi, rho, pirho}. This difference being based on the row and
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\textit{iid, pi, rho, pirho}. This difference being based on the row and
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col block proportions.
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col block proportions.\\
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For this task we choose the same simulation settings as
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For this task we choose the same simulation settings as
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\cite{chabert-liddellLearningCommonStructures2024a}.
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\cite{chabert-liddellLearningCommonStructures2024a}.\\
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Namely, $n_{1}^{m} = 90, n_{2}^{m} = 90, Q_1 = Q_2 = 3$,
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Namely $n_{1}^{m} = 90, n_{2}^{m} = 90, Q_1 = Q_2 = 3$,
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$\bm{\alpha}, \bm{\pi}$ and $\bm{\rho}$ are set as follows:\\
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$\bm{\alpha}, \bm{\pi}$ and $\bm{\rho}$ are set as follows:
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\begin{minipage}[l]{0.4\linewidth}
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\begin{minipage}[l]{0.4\linewidth}
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\begin{align*}
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\begin{align*}
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\bm{\alpha} =.25 + \begin{pmatrix}
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\bm{\alpha} =.25 + \begin{pmatrix}
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@ -38,7 +36,8 @@ $\bm{\alpha}, \bm{\pi}$ and $\bm{\rho}$ are set as follows:
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\end{minipage}
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\end{minipage}
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with $\eps[\alpha] = 0.16$, $\eps[\pi]$ and
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with $\eps[\alpha] = 0.16$, $\eps[\pi]$ and
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$\eps[\rho]$ taking 9 values equally spaced in
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$\eps[\rho]$ taking 9 values equally spaced in
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$\left[ 0, .28\right]$. We simulate 324 different collections for each
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$\left[ 0, .28\right]$.\newline
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We simulate 324 different collections for each
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value of $\eps[\pi]$ and $\eps[\rho]$.
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value of $\eps[\pi]$ and $\eps[\rho]$.
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$\pi\rho\text{-}colBiSBM$, $\pi\text{-}colBiSBM$,
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$\pi\rho\text{-}colBiSBM$, $\pi\text{-}colBiSBM$,
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@ -56,73 +55,26 @@ $\bm{\pi}^1 \neq \bm{\pi}^2$ and $\eps[\rho] > 0$ or
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$\bm{\rho}^1 \neq \bm{\rho}^2$, the model is a
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$\bm{\rho}^1 \neq \bm{\rho}^2$, the model is a
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$\pi\rho\text{-}colBiSBM$.
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$\pi\rho\text{-}colBiSBM$.
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\begin{table}[!h]
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\input{../tables/simulations/model_selection/model-selection.tex}
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\caption{\label{tab:tables}\label{tab:pi-model-sel}Model selection for varying $\pi$ mixture parameters}
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\centering
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\begin{tabular}[t]{lccccl}
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\toprule
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\multicolumn{1}{c}{ } & \multicolumn{4}{c}{Models} & \multicolumn{1}{c}{Blocks} \\
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\cmidrule(l{3pt}r{3pt}){2-5} \cmidrule(l{3pt}r{3pt}){6-6}
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$\eps[\pi]$ & $iid\text{-}colBiSBM$ & $\pi\text{-}colBiSBM$ & $\rho\text{-}colBiSBM$ & $\pi\rho\text{-}colBiSBM$ & Recovered $Q_1$ \\
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\midrule
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0.00 & 0.65 & 0.00 & 0.35 & 0.00 & 3 \\
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0.04 & 0.66 & 0.00 & 0.34 & 0.00 & 3 \\
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0.07 & 0.64 & 0.01 & 0.34 & 0.01 & 3.01 $\pm$ 0.01 \\
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0.11 & 0.63 & 0.03 & 0.31 & 0.03 & 3.01 $\pm$ 0.01 \\
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0.14 & 0.55 & 0.12 & 0.28 & 0.05 & 3 \\
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\addlinespace
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0.18 & 0.39 & 0.26 & 0.21 & 0.13 & 3.01 \\
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0.21 & 0.23 & 0.42 & 0.13 & 0.23 & 3.01 \\
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0.25 & 0.10 & 0.56 & 0.05 & 0.29 & 3.02 $\pm$ 0.01 \\
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0.28 & 0.01 & 0.65 & 0.01 & 0.33 & 3.01 $\pm$ 0.01 \\
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\bottomrule
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\end{tabular}
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\end{table}
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\begin{table}[!h]
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\caption{\label{tab:tables}\label{tab:rho-model-sel}Model selection for varying $\rho$ mixture parameters}
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\centering
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\begin{tabular}[t]{lccccl}
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\toprule
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\multicolumn{1}{c}{ } & \multicolumn{4}{c}{Models} & \multicolumn{1}{c}{Blocks} \\
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\cmidrule(l{3pt}r{3pt}){2-5} \cmidrule(l{3pt}r{3pt}){6-6}
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$\eps[\rho]$ & $iid\text{-}colBiSBM$ & $\pi\text{-}colBiSBM$ & $\rho\text{-}colBiSBM$ & $\pi\rho\text{-}colBiSBM$ & Recovered $Q_2$ \\
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\midrule
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0.00 & 0.63 & 0.37 & 0.00 & 0.00 & 3 \\
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0.04 & 0.65 & 0.34 & 0.00 & 0.01 & 3 \\
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0.07 & 0.64 & 0.33 & 0.01 & 0.01 & 3 \\
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0.11 & 0.64 & 0.31 & 0.03 & 0.02 & 3 \\
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0.14 & 0.53 & 0.29 & 0.11 & 0.06 & 3 \\
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\addlinespace
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0.18 & 0.42 & 0.20 & 0.24 & 0.14 & 3.01 \\
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0.21 & 0.25 & 0.12 & 0.40 & 0.22 & 3.01 \\
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0.25 & 0.08 & 0.06 & 0.58 & 0.29 & 3.01 \\
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0.28 & 0.01 & 0.01 & 0.65 & 0.32 & 3 \\
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\bottomrule
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\end{tabular}
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\end{table}
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\begin{figure}[H]
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\begin{figure}[H]
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% \includegraphics{./Rcodes/simulation/img/plot_model_function_eps.png}
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\centering
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\caption{Plot of preferred model in function of $\eps[\pi]$ and $\eps[\rho]$}
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\input{../tikz/simulations/model_selection/eps-pi-rho-preferred.tex}
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\label{fig:pref_model_func_eps}
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\caption{\label{fig:pref_model_func_eps}Plot of model selection proportions
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over the different datasets in
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function of $\eps[\pi]$ and $\eps[\rho]$}
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\end{figure}
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\end{figure}
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\paragraph{Results:}
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\paragraph{Results:}
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On the figure \ref{fig:pref_model_func_eps} and tables
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On the figure \ref{fig:pref_model_func_eps} and table \ref{tab:model-selection}, one can see that
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\ref{tab:pi-model-sel} and \ref{tab:rho-model-sel}, one can see that
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there is a turning point around $\eps[\pi] = 0.2$ (resp.
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there is a turning point around $\eps[\pi] = 0.2$ (resp.
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$\eps[\rho] = 0.2$), before which $iid\text{-}colBiSBM$ and
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$\eps[\rho] = 0.2$), before which $iid\text{-}colBiSBM$ and
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$\rho\text{-}colBiSBM$ (resp. $\pi\text{-}colBiSBM$) are selected
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$\rho\text{-}colBiSBM$ (resp. $\pi\text{-}colBiSBM$) are selected
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most of the times and after $0.2$ the $\pi\text{-}colBiSBM$ (resp.
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very often and after $0.2$ the $\pi\text{-}colBiSBM$ (resp.
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$\rho\text{-}colBiSBM$) and $\pi\rho\text{-}colBiSBM$ gets more and
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$\rho\text{-}colBiSBM$) and $\pi\rho\text{-}colBiSBM$ gets more and
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more selected, highlighting our capacity to recover the simulated
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more selected. Moreover, the number of blocks are correctly detected in most
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structure.
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of the case.
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\paragraph*{Remark:}
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These two results highlight our capacity to recover the simulated
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structure.
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Please note that when ``Recovered $Q_1$(or $Q_2$)'' is not an
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integer it's because some procedures returned a value other than 3.
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113
tables/simulations/model_selection/model-selection.tex
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113
tables/simulations/model_selection/model-selection.tex
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\begin{table}
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\centering
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\caption{\label{tab:model-selection}Filtered block recovery and model selection proportions}
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\centering
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\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
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\begin{tabular}[t]{llllllllll|>{}llll}
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\toprule
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\multicolumn{2}{c}{ } & \multicolumn{8}{c}{Block number recovery} & \multicolumn{4}{c}{Model selection proportions} \\
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\cmidrule(l{3pt}r{3pt}){3-10} \cmidrule(l{3pt}r{3pt}){11-14}
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\multicolumn{2}{c}{ } & \multicolumn{2}{c}{$iid$} & \multicolumn{2}{c}{$\pi$} & \multicolumn{2}{c}{$\rho$} & \multicolumn{2}{c}{$\pi\rho$} & \multicolumn{4}{c}{ } \\
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\cmidrule(l{3pt}r{3pt}){3-4} \cmidrule(l{3pt}r{3pt}){5-6} \cmidrule(l{3pt}r{3pt}){7-8} \cmidrule(l{3pt}r{3pt}){9-10}
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$\epsilon_{\pi}$ & $\epsilon_{\rho}$ & $\mathbbb{1}_{\widehat{Q_1}_{iid}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{iid}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\pi}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\pi}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\pi\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\pi\rho}=3}$ & $iid$ & $\pi$ & $\rho$ & $\pi\rho$ \\
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\midrule
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.991 & 0.009 & & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & & \\
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\cmidrule{2-14}
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& 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.981 & & 0.019 & \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.917 & & 0.083 & \\
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\cmidrule{2-14}
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& 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.361 & & 0.630 & 0.009 \\
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\cmidrule{2-14}
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& 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.111 & & 0.889 & \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.000} & 0.280 & 1 & 1 & 1 & 0.991 & 1 & 1 & 1 & 1 & 0.009 & 0.009 & 0.963 & 0.019 \\
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\cmidrule{1-14}
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.981 & 0.009 & 0.009 & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.981 & 0.019 & & \\
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\cmidrule{2-14}
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& 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.991 & & 0.009 & \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.935 & & 0.065 & \\
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\cmidrule{2-14}
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& 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.454 & & 0.546 & \\
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\cmidrule{2-14}
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& 0.245 & 1 & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 & 0.157 & & 0.843 & \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.035} & 0.280 & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 & & 0.972 & 0.009 \\
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\cmidrule{1-14}
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.991 & 0.009 & & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.972 & 0.019 & 0.009 & \\
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\cmidrule{2-14}
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& 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.972 & 0.019 & 0.009 & \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.880 & 0.056 & 0.065 & \\
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\cmidrule{2-14}
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& 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.324 & & 0.648 & 0.028 \\
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\cmidrule{2-14}
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& 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.139 & & 0.843 & 0.019 \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.070} & 0.280 & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 & & 0.963 & 0.019 \\
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\cmidrule{1-14}
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.917 & 0.083 & & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.917 & 0.065 & 0.019 & \\
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\cmidrule{2-14}
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& 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.935 & 0.056 & 0.009 & \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.806 & 0.056 & 0.139 & \\
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\cmidrule{2-14}
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& 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.333 & 0.019 & 0.593 & 0.056 \\
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\cmidrule{2-14}
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& 0.245 & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.102 & & 0.843 & 0.056 \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.105} & 0.280 & 1 & 1 & 1 & 0.991 & 1 & 1 & 1 & 1 & 0.037 & & 0.935 & 0.028 \\
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\cmidrule{1-14}
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.296 & 0.704 & & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.370 & 0.620 & & 0.009 \\
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\cmidrule{2-14}
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& 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.343 & 0.657 & & \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.343 & 0.546 & 0.037 & 0.074 \\
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\cmidrule{2-14}
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& 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.148 & 0.269 & 0.176 & 0.407 \\
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\cmidrule{2-14}
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& 0.245 & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.037 & 0.065 & 0.324 & 0.574 \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.210} & 0.280 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & & 0.417 & 0.583 \\
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\cmidrule{1-14}
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.148 & 0.852 & & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.157 & 0.843 & & \\
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\cmidrule{2-14}
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& 0.070 & 1 & 1 & 1 & 1 & 0.991 & 1 & 1 & 1 & 0.148 & 0.852 & & \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.139 & 0.833 & & 0.028 \\
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\cmidrule{2-14}
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& 0.210 & 1 & 0.981 & 1 & 1 & 1 & 1 & 1 & 1 & 0.028 & 0.343 & 0.111 & 0.519 \\
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\cmidrule{2-14}
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& 0.245 & 1 & 1 & 1 & 1 & 0.991 & 1 & 1 & 1 & & 0.130 & 0.083 & 0.787 \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.245} & 0.280 & 0.991 & 0.991 & 1 & 1 & 0.991 & 1 & 1 & 1 & 0.009 & 0.037 & 0.111 & 0.843 \\
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\cmidrule{1-14}
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& 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 0.991 & 1 & 0.019 & 0.981 & & \\
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\cmidrule{2-14}
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& 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 0.981 & 1 & 0.046 & 0.954 & & \\
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\cmidrule{2-14}
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& 0.070 & 1 & 0.991 & 1 & 0.991 & 0.991 & 1 & 0.991 & 0.981 & 0.019 & 0.954 & & 0.028 \\
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\cmidrule{2-14}
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& 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 & 0.898 & & 0.083 \\
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\cmidrule{2-14}
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& 0.210 & 0.981 & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 & & 0.435 & 0.009 & 0.556 \\
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\cmidrule{2-14}
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& 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & 0.167 & 0.019 & 0.815 \\
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\cmidrule{2-14}
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\multirow[t]{-7}{*}[6\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.280} & 0.280 & 1 & 0.991 & 1 & 1 & 1 & 1 & 0.991 & 1 & & 0.019 & 0.028 & 0.954 \\
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\bottomrule
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\end{tabular}}
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\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (156.06, 80.39) rectangle (172.46,233.64);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (155.00, 47.28) rectangle (170.80,194.82);
|
||||||
\definecolor{drawColor}{RGB}{230,159,0}
|
\definecolor{drawColor}{RGB}{230,159,0}
|
||||||
\definecolor{fillColor}{RGB}{230,159,0}
|
\definecolor{fillColor}{RGB}{230,159,0}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (174.29,235.14) rectangle (190.70,242.65);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (172.56,196.27) rectangle (188.35,203.50);
|
||||||
\definecolor{drawColor}{RGB}{0,114,178}
|
\definecolor{drawColor}{RGB}{0,114,178}
|
||||||
\definecolor{fillColor}{RGB}{0,114,178}
|
\definecolor{fillColor}{RGB}{0,114,178}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (174.29, 80.39) rectangle (190.70,235.14);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (172.56, 47.28) rectangle (188.35,196.27);
|
||||||
\definecolor{drawColor}{RGB}{230,159,0}
|
\definecolor{drawColor}{RGB}{230,159,0}
|
||||||
\definecolor{fillColor}{RGB}{230,159,0}
|
\definecolor{fillColor}{RGB}{230,159,0}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (192.52,238.15) rectangle (208.93,242.65);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (190.11,194.82) rectangle (205.91,203.50);
|
||||||
\definecolor{drawColor}{RGB}{0,114,178}
|
\definecolor{drawColor}{RGB}{0,114,178}
|
||||||
\definecolor{fillColor}{RGB}{0,114,178}
|
\definecolor{fillColor}{RGB}{0,114,178}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (192.52, 80.39) rectangle (208.93,238.15);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (190.11, 47.28) rectangle (205.91,194.82);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{gray}{0.30}
|
\definecolor{drawColor}{gray}{0.30}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 33.61, 77.36) {0.00};
|
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 36.93, 44.25) {0.00};
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 33.61,117.93) {0.25};
|
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 36.93, 83.30) {0.25};
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 33.61,158.49) {0.50};
|
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 36.93,122.36) {0.50};
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 33.61,199.06) {0.75};
|
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 36.93,161.41) {0.75};
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 33.61,239.62) {1.00};
|
\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 36.93,200.47) {1.00};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{gray}{0.20}
|
\definecolor{drawColor}{gray}{0.20}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 35.81, 80.39) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 39.13, 47.28) --
|
||||||
( 38.56, 80.39);
|
( 41.88, 47.28);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 35.81,120.96) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 39.13, 86.33) --
|
||||||
( 38.56,120.96);
|
( 41.88, 86.33);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 35.81,161.52) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 39.13,125.39) --
|
||||||
( 38.56,161.52);
|
( 41.88,125.39);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 35.81,202.09) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 39.13,164.44) --
|
||||||
( 38.56,202.09);
|
( 41.88,164.44);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 35.81,242.65) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 39.13,203.50) --
|
||||||
( 38.56,242.65);
|
( 41.88,203.50);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{gray}{0.20}
|
\definecolor{drawColor}{gray}{0.20}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 54.87, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 57.59, 36.72) --
|
||||||
( 54.87, 72.28);
|
( 57.59, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 73.10, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 75.14, 36.72) --
|
||||||
( 73.10, 72.28);
|
( 75.14, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 91.33, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] ( 92.69, 36.72) --
|
||||||
( 91.33, 72.28);
|
( 92.69, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] (109.57, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] (110.25, 36.72) --
|
||||||
(109.57, 72.28);
|
(110.25, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] (127.80, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] (127.80, 36.72) --
|
||||||
(127.80, 72.28);
|
(127.80, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] (146.03, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] (145.35, 36.72) --
|
||||||
(146.03, 72.28);
|
(145.35, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] (164.26, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] (162.90, 36.72) --
|
||||||
(164.26, 72.28);
|
(162.90, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] (182.49, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] (180.46, 36.72) --
|
||||||
(182.49, 72.28);
|
(180.46, 39.47);
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,line join=round] (200.72, 69.53) --
|
\path[draw=drawColor,line width= 0.6pt,line join=round] (198.01, 36.72) --
|
||||||
(200.72, 72.28);
|
(198.01, 39.47);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{gray}{0.30}
|
\definecolor{drawColor}{gray}{0.30}
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 52.73, 48.63) {0.00};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 55.44, 15.82) {0.00};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 70.96, 48.63) {0.03};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 73.00, 15.82) {0.03};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 89.19, 48.63) {0.06};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 90.55, 15.82) {0.06};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (107.42, 48.63) {0.09};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (108.10, 15.82) {0.09};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (125.66, 48.63) {0.12};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (125.66, 15.82) {0.12};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (143.89, 48.63) {0.15};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (143.21, 15.82) {0.15};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (162.12, 48.63) {0.18};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (160.76, 15.82) {0.18};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (180.35, 48.63) {0.21};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (178.31, 15.82) {0.21};
|
||||||
|
|
||||||
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (198.58, 48.63) {0.24};
|
\node[text=drawColor,rotate=-45.00,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at (195.87, 15.82) {0.24};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (127.80, 40.45) {$\epsilon_{\alpha}$};
|
\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (127.80, 7.64) {$\epsilon_{\alpha}$};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 13.08,161.52) {Preferred model proportions};
|
\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 16.40,125.39) {Preferred model proportions};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{fillColor}{RGB}{255,255,255}
|
\definecolor{fillColor}{RGB}{255,255,255}
|
||||||
|
|
||||||
\path[fill=fillColor] (228.04,106.34) rectangle (283.58,216.71);
|
\path[fill=fillColor] (224.72, 70.21) rectangle (280.26,180.57);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 1.10] at (233.54,202.56) {Preferred};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 1.10] at (230.22,166.43) {Preferred};
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 1.10] at (233.54,190.68) {Model};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 1.10] at (230.22,154.55) {Model};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{fillColor}{gray}{0.92}
|
\definecolor{fillColor}{gray}{0.92}
|
||||||
|
|
||||||
\path[fill=fillColor] (233.54,169.66) rectangle (247.99,184.11);
|
\path[fill=fillColor] (230.22,133.52) rectangle (244.67,147.98);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{230,159,0}
|
\definecolor{drawColor}{RGB}{230,159,0}
|
||||||
\definecolor{fillColor}{RGB}{230,159,0}
|
\definecolor{fillColor}{RGB}{230,159,0}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (234.25,170.37) rectangle (247.28,183.40);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (230.93,134.23) rectangle (243.96,147.27);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{fillColor}{gray}{0.92}
|
\definecolor{fillColor}{gray}{0.92}
|
||||||
|
|
||||||
\path[fill=fillColor] (233.54,155.20) rectangle (247.99,169.66);
|
\path[fill=fillColor] (230.22,119.07) rectangle (244.67,133.52);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{86,180,233}
|
\definecolor{drawColor}{RGB}{86,180,233}
|
||||||
\definecolor{fillColor}{RGB}{86,180,233}
|
\definecolor{fillColor}{RGB}{86,180,233}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (234.25,155.92) rectangle (247.28,168.95);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (230.93,119.78) rectangle (243.96,132.81);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{fillColor}{gray}{0.92}
|
\definecolor{fillColor}{gray}{0.92}
|
||||||
|
|
||||||
\path[fill=fillColor] (233.54,140.75) rectangle (247.99,155.20);
|
\path[fill=fillColor] (230.22,104.62) rectangle (244.67,119.07);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,158,115}
|
\definecolor{drawColor}{RGB}{0,158,115}
|
||||||
\definecolor{fillColor}{RGB}{0,158,115}
|
\definecolor{fillColor}{RGB}{0,158,115}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (234.25,141.46) rectangle (247.28,154.49);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (230.93,105.33) rectangle (243.96,118.36);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{fillColor}{gray}{0.92}
|
\definecolor{fillColor}{gray}{0.92}
|
||||||
|
|
||||||
\path[fill=fillColor] (233.54,126.30) rectangle (247.99,140.75);
|
\path[fill=fillColor] (230.22, 90.16) rectangle (244.67,104.62);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{240,228,66}
|
\definecolor{drawColor}{RGB}{240,228,66}
|
||||||
\definecolor{fillColor}{RGB}{240,228,66}
|
\definecolor{fillColor}{RGB}{240,228,66}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (234.25,127.01) rectangle (247.28,140.04);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (230.93, 90.87) rectangle (243.96,103.90);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{fillColor}{gray}{0.92}
|
\definecolor{fillColor}{gray}{0.92}
|
||||||
|
|
||||||
\path[fill=fillColor] (233.54,111.84) rectangle (247.99,126.30);
|
\path[fill=fillColor] (230.22, 75.71) rectangle (244.67, 90.16);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,114,178}
|
\definecolor{drawColor}{RGB}{0,114,178}
|
||||||
\definecolor{fillColor}{RGB}{0,114,178}
|
\definecolor{fillColor}{RGB}{0,114,178}
|
||||||
|
|
||||||
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (234.25,112.55) rectangle (247.28,125.59);
|
\path[draw=drawColor,line width= 0.6pt,fill=fillColor] (230.93, 76.42) rectangle (243.96, 89.45);
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (253.49,173.86) {sep};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (250.17,137.72) {sep};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (253.49,159.40) {iid};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (250.17,123.27) {iid};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (253.49,144.95) {$\pi$};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (250.17,108.81) {$\pi$};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (253.49,130.49) {$\rho$};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (250.17, 94.36) {$\rho$};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\begin{scope}
|
\begin{scope}
|
||||||
\path[clip] ( 0.00, 0.00) rectangle (289.08,289.08);
|
\path[clip] ( 0.00, 0.00) rectangle (289.08,216.81);
|
||||||
\definecolor{drawColor}{RGB}{0,0,0}
|
\definecolor{drawColor}{RGB}{0,0,0}
|
||||||
|
|
||||||
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (253.49,116.04) {$\pi\rho$};
|
\node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (250.17, 79.90) {$\pi\rho$};
|
||||||
\end{scope}
|
\end{scope}
|
||||||
\end{tikzpicture}
|
\end{tikzpicture}
|
||||||
|
|
|
||||||
2283
tikz/simulations/model_selection/eps-pi-rho-preferred.tex
Normal file
2283
tikz/simulations/model_selection/eps-pi-rho-preferred.tex
Normal file
File diff suppressed because it is too large
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Add table
Reference in a new issue