polarolouis/mia-rapport-2024
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity

rapport : modification de l'inférence, encore en cours pour faire des subtables

Browse source
This commit is contained in:
Louis Lacoste 2024-07-15 16:53:20 +02:00
parent e1dea181be
commit 53260342a0
7 changed files with 79 additions and 73 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

8
rapport/chapter4-simulations/inference.tex
View file

@ -43,7 +43,7 @@ $\mathcal{B}$ern-$BiSBM_{120,120}(Q_1 = 4, Q_2 = 4,
\bm{\alpha}, \bm{\pi}^m, \bm{\rho}^m)$ \bm{\alpha}, \bm{\pi}^m, \bm{\rho}^m)$
with the previous parameters. Each network has 2 blocks in common and their with the previous parameters. Each network has 2 blocks in common and their
connectivity structures encompass a mix of core-periphery, assortative connectivity structures encompass a mix of core-periphery, assortative
community and disassortative community structures, depending on which 3 of the 4 community and dis-assortative community structures, depending on which 3 of the 4
blocks are selected for each network. $\eps[\alpha]$ represents the strength of blocks are selected for each network. $\eps[\alpha]$ represents the strength of
these structures, the larger, the easier it is to tell apart one block from these structures, the larger, the easier it is to tell apart one block from
another. another.
@ -89,7 +89,7 @@ use the following indicators:
All these quality indicators are averaged over the 108 datasets. The results are All these quality indicators are averaged over the 108 datasets. The results are
provided in the tables \ref{tab:per_model_sep} to \ref{tab:per_model_pirho}. Each line corresponds to the provided in the tables \ref{tab:per_model_sep} to \ref{tab:per_model_pirho}. Each line corresponds to the
108 datasets for a given value of value of $\eps[\alpha]$. 108 datasets for a given value of $\eps[\alpha]$.
\begin{figure}[ht] \begin{figure}[ht]
\centering \centering
@ -99,14 +99,14 @@ provided in the tables \ref{tab:per_model_sep} to \ref{tab:per_model_pirho}. Eac
\label{fig:prop-modele-pref} \label{fig:prop-modele-pref}
\end{figure} \end{figure}
\foreach \modelname in {sep,iid,pi,rho,pirho}{ \foreach \modelname in {sep, iid, pi, rho, pirho}{
\input{../tables/simulations/inference/\modelname.tex} \input{../tables/simulations/inference/\modelname.tex}
} }
\paragraph{Results} \paragraph{Results}
For the model comparison, when $\eps[\alpha]$ is small For the model comparison, when $\eps[\alpha]$ is small
($\eps[\alpha]\in[0, .04]$), the simulation model is close to the ($\eps[\alpha]\in[0, .04]$), the simulation model is close to the
Erd\H{o}s-Reńyi network and it is very hard to find any structure beyond the one Erd\H{o}s-Reńyi network, and it is very hard to find any structure beyond the one
of a single block on each dimension. of a single block on each dimension.
On the figure \ref{fig:inference-proportion-preferred} and table On the figure \ref{fig:inference-proportion-preferred} and table

27
tables/simulations/inference/iid.tex
View file

@ -1,21 +1,22 @@
\begin{table}[!h] \begin{table}[!h]
\centering
\caption{\label{tab:per_model_iid}Quality metrics for $iid$$\text{-}colBiSBM$} \caption{\label{tab:per_model_iid}Quality metrics for $iid$$\text{-}colBiSBM$}
\centering \centering
\begin{tabular}[t]{rllllll} \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
\begin{tabular}[t]{rllllllllll}
\toprule \toprule
$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$\\ $\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}<Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}>Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}<Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}>Q_2}$\\
\midrule \midrule
0.00 & 0 & 0 & 0 & 0 & 0 & 0\\ 0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\\
0.03 & 0.01 & 0.02 & 0.01 & 0.02 & 0 & 0\\ 0.03 & 0.01 & 0.01 & 0.01 & 0.01 & 1 & 0 & 0 & 1 & 0 & 0\\
0.06 & 0.7 $\pm$ 0.01 & 0.69 $\pm$ 0.01 & 0.55 $\pm$ 0.02 & 0.54 $\pm$ 0.02 & 0.61 $\pm$ 0.05 & 0.63 $\pm$ 0.05\\ 0.06 & 0.71 $\pm$ 0.01 & 0.7 $\pm$ 0.01 & 0.56 $\pm$ 0.02 & 0.54 $\pm$ 0.02 & 0.29 $\pm$ 0.04 & 0.71 $\pm$ 0.04 & 0 & 0.42 $\pm$ 0.05 & 0.57 $\pm$ 0.05 & 0.01 $\pm$ 0.01\\
0.09 & 0.96 & 0.95 & 0.86 $\pm$ 0.02 & 0.85 $\pm$ 0.02 & 0.95 $\pm$ 0.02 & 0.96 $\pm$ 0.02\\ 0.09 & 0.96 & 0.96 & 0.9 $\pm$ 0.02 & 0.89 $\pm$ 0.02 & 0 & 0.99 $\pm$ 0.01 & 0.01 $\pm$ 0.01 & 0 & 0.96 $\pm$ 0.02 & 0.04 $\pm$ 0.02\\
0.12 & 0.99 & 0.99 & 0.9 $\pm$ 0.02 & 0.89 $\pm$ 0.02 & 0.95 $\pm$ 0.02 & 0.86 $\pm$ 0.03\\ 0.12 & 0.99 & 0.99 & 0.92 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.91 $\pm$ 0.03 & 0.09 $\pm$ 0.03\\
\addlinespace \addlinespace
0.15 & 1 & 0.99 & 0.91 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0.94 $\pm$ 0.02 & 0.88 $\pm$ 0.03\\ 0.15 & 1 & 0.99 & 0.92 $\pm$ 0.02 & 0.92 $\pm$ 0.02 & 0 & 0.97 $\pm$ 0.02 & 0.03 $\pm$ 0.02 & 0 & 0.87 $\pm$ 0.03 & 0.13 $\pm$ 0.03\\
0.18 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.94 $\pm$ 0.02 & 0.93 $\pm$ 0.03 & 0.97 $\pm$ 0.02\\ 0.18 & 1 & 1 & 0.94 $\pm$ 0.02 & 0.94 $\pm$ 0.02 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03\\
0.21 & 1 & 1 & 0.94 $\pm$ 0.02 & 0.94 $\pm$ 0.02 & 0.94 $\pm$ 0.02 & 0.94 $\pm$ 0.02\\ 0.21 & 1 & 1 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.92 $\pm$ 0.03 & 0.08 $\pm$ 0.03\\
0.24 & 1 & 1 & 0.93 $\pm$ 0.02 & 0.92 $\pm$ 0.02 & 0.91 $\pm$ 0.03 & 0.92 $\pm$ 0.03\\ 0.24 & 1 & 1 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}}
\end{table} \end{table}

27
tables/simulations/inference/pi.tex
View file

@ -1,21 +1,22 @@
\begin{table}[!h] \begin{table}[!h]
\centering
\caption{\label{tab:per_model_pi}Quality metrics for $\pi$$\text{-}colBiSBM$} \caption{\label{tab:per_model_pi}Quality metrics for $\pi$$\text{-}colBiSBM$}
\centering \centering
\begin{tabular}[t]{rllllll} \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
\begin{tabular}[t]{rllllllllll}
\toprule \toprule
$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$\\ $\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}<Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}>Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}<Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}>Q_2}$\\
\midrule \midrule
0.00 & 0 & 0 & 0 & 0 & 0 & 0\\ 0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\\
0.03 & 0.01 & 0.02 & 0.01 & 0.01 & 0 & 0\\ 0.03 & 0.01 & 0.01 & 0.01 & 0.01 & 1 & 0 & 0 & 1 & 0 & 0\\
0.06 & 0.74 $\pm$ 0.01 & 0.71 $\pm$ 0.01 & 0.62 $\pm$ 0.02 & 0.58 $\pm$ 0.02 & 0.59 $\pm$ 0.05 & 0.64 $\pm$ 0.05\\ 0.06 & 0.74 $\pm$ 0.01 & 0.71 $\pm$ 0.01 & 0.64 $\pm$ 0.02 & 0.59 $\pm$ 0.02 & 0.1 $\pm$ 0.03 & 0.65 $\pm$ 0.05 & 0.25 $\pm$ 0.04 & 0.38 $\pm$ 0.05 & 0.62 $\pm$ 0.05 & 0\\
0.09 & 0.97 & 0.95 & 0.87 $\pm$ 0.02 & 0.84 $\pm$ 0.02 & 0.71 $\pm$ 0.04 & 1\\ 0.09 & 0.97 & 0.95 & 0.87 $\pm$ 0.02 & 0.84 $\pm$ 0.02 & 0 & 0.69 $\pm$ 0.04 & 0.31 $\pm$ 0.04 & 0 & 1 & 0\\
0.12 & 1 & 0.98 & 0.91 $\pm$ 0.02 & 0.89 $\pm$ 0.02 & 0.73 $\pm$ 0.04 & 1\\ 0.12 & 1 & 0.98 & 0.92 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0 & 0.8 $\pm$ 0.04 & 0.2 $\pm$ 0.04 & 0 & 1 & 0\\
\addlinespace \addlinespace
0.15 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0.84 $\pm$ 0.04 & 1\\ 0.15 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.89 $\pm$ 0.02 & 0 & 0.81 $\pm$ 0.04 & 0.19 $\pm$ 0.04 & 0 & 1 & 0\\
0.18 & 1 & 0.99 & 0.94 $\pm$ 0.01 & 0.92 $\pm$ 0.02 & 0.85 $\pm$ 0.03 & 1\\ 0.18 & 1 & 0.99 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.02 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03 & 0 & 1 & 0\\
0.21 & 1 & 0.99 & 0.91 $\pm$ 0.02 & 0.87 $\pm$ 0.03 & 0.81 $\pm$ 0.04 & 1\\ 0.21 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.9 $\pm$ 0.02 & 0 & 0.83 $\pm$ 0.04 & 0.17 $\pm$ 0.04 & 0 & 1 & 0\\
0.24 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.9 $\pm$ 0.02 & 0.83 $\pm$ 0.04 & 0.99 $\pm$ 0.01\\ 0.24 & 1 & 0.99 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.02 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03 & 0 & 1 & 0\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}}
\end{table} \end{table}

27
tables/simulations/inference/pirho.tex
View file

@ -1,21 +1,22 @@
\begin{table}[!h] \begin{table}[!h]
\centering
\caption{\label{tab:per_model_pirho}Quality metrics for $\pi\rho$$\text{-}colBiSBM$} \caption{\label{tab:per_model_pirho}Quality metrics for $\pi\rho$$\text{-}colBiSBM$}
\centering \centering
\begin{tabular}[t]{rllllll} \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
\begin{tabular}[t]{rllllllllll}
\toprule \toprule
$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$\\ $\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}<Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}>Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}<Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}>Q_2}$\\
\midrule \midrule
0.00 & 0 & 0 & 0 & 0 & 0 & 0\\ 0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\\
0.03 & 0.01 & 0.01 & 0.01 & 0.02 & 0 & 0\\ 0.03 & 0.01 & 0.01 & 0.01 & 0.01 & 1 & 0 & 0 & 1 & 0 & 0\\
0.06 & 0.76 $\pm$ 0.01 & 0.75 $\pm$ 0.01 & 0.65 $\pm$ 0.02 & 0.64 $\pm$ 0.02 & 0.86 $\pm$ 0.03 & 0.83 $\pm$ 0.04\\ 0.06 & 0.76 $\pm$ 0.01 & 0.75 $\pm$ 0.01 & 0.66 $\pm$ 0.02 & 0.66 $\pm$ 0.02 & 0.1 $\pm$ 0.03 & 0.88 $\pm$ 0.03 & 0.02 $\pm$ 0.01 & 0.08 $\pm$ 0.03 & 0.86 $\pm$ 0.03 & 0.06 $\pm$ 0.02\\
0.09 & 0.97 & 0.97 & 0.91 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0.9 $\pm$ 0.03 & 0.92 $\pm$ 0.03\\ 0.09 & 0.97 & 0.97 & 0.9 $\pm$ 0.02 & 0.89 $\pm$ 0.02 & 0 & 0.9 $\pm$ 0.03 & 0.1 $\pm$ 0.03 & 0 & 0.87 $\pm$ 0.03 & 0.13 $\pm$ 0.03\\
0.12 & 1 & 1 & 0.92 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0.91 $\pm$ 0.03 & 0.86 $\pm$ 0.03\\ 0.12 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02 & 0 & 0.9 $\pm$ 0.03 & 0.1 $\pm$ 0.03 & 0 & 0.9 $\pm$ 0.03 & 0.1 $\pm$ 0.03\\
\addlinespace \addlinespace
0.15 & 1 & 1 & 0.95 $\pm$ 0.02 & 0.94 $\pm$ 0.02 & 0.93 $\pm$ 0.03 & 0.91 $\pm$ 0.03\\ 0.15 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.94 $\pm$ 0.02 & 0 & 0.95 $\pm$ 0.02 & 0.05 $\pm$ 0.02 & 0 & 0.89 $\pm$ 0.03 & 0.11 $\pm$ 0.03\\
0.18 & 1 & 1 & 0.91 $\pm$ 0.02 & 0.91 $\pm$ 0.02 & 0.87 $\pm$ 0.03 & 0.86 $\pm$ 0.03\\ 0.18 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.95 $\pm$ 0.02 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03 & 0 & 0.91 $\pm$ 0.03 & 0.09 $\pm$ 0.03\\
0.21 & 1 & 1 & 0.94 $\pm$ 0.02 & 0.94 $\pm$ 0.02 & 0.91 $\pm$ 0.03 & 0.93 $\pm$ 0.03\\ 0.21 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.94 $\pm$ 0.02 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.89 $\pm$ 0.03 & 0.11 $\pm$ 0.03\\
0.24 & 1 & 1 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02 & 0.9 $\pm$ 0.03 & 0.91 $\pm$ 0.03\\ 0.24 & 1 & 1 & 0.94 $\pm$ 0.02 & 0.93 $\pm$ 0.02 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}}
\end{table} \end{table}

17
tables/simulations/inference/preferred.tex
View file

@ -1,21 +1,22 @@
\begin{table}[!h] \begin{table}[!h]
\centering
\caption{\label{tab:proportion-preferred-table}Proportions of models selected per \eps[\alpha] (data for Figure \ref{fig:inference-proportion-preferred})} \caption{\label{tab:proportion-preferred-table}Proportions of models selected per \eps[\alpha] (data for Figure \ref{fig:inference-proportion-preferred})}
\centering \centering
\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
\begin{tabular}[t]{rccccc} \begin{tabular}[t]{rccccc}
\toprule \toprule
\eps[\alpha] & $sep\text{-}BiSBM$ & $iid\text{-}colBiSBM$ & $\pi\text{-}colBiSBM$ & $\rho\text{-}colBiSBM$ & $\pi\rho\text{-}colBiSBM$\\ \eps[\alpha] & $sep\text{-}BiSBM$ & $iid\text{-}colBiSBM$ & $\pi\text{-}colBiSBM$ & $\rho\text{-}colBiSBM$ & $\pi\rho\text{-}colBiSBM$\\
\midrule \midrule
0.00 & 1.00 & 0.00 & 0.00 & 0.00 & 0.00\\ 0.00 & 1.00 & 0.00 & 0.00 & 0.00 & 0.00\\
0.03 & 0.52 & 0.25 & 0.06 & 0.09 & 0.07\\ 0.03 & 0.56 & 0.16 & 0.09 & 0.07 & 0.12\\
0.06 & 0.01 & 0.04 & 0.13 & 0.06 & 0.77\\ 0.06 & 0.00 & 0.02 & 0.12 & 0.06 & 0.81\\
0.09 & 0.00 & 0.04 & 0.02 & 0.00 & 0.94\\ 0.09 & 0.00 & 0.04 & 0.01 & 0.01 & 0.94\\
0.12 & 0.00 & 0.04 & 0.00 & 0.00 & 0.96\\ 0.12 & 0.00 & 0.06 & 0.00 & 0.00 & 0.94\\
\addlinespace \addlinespace
0.15 & 0.00 & 0.05 & 0.00 & 0.00 & 0.95\\ 0.15 & 0.00 & 0.03 & 0.00 & 0.00 & 0.97\\
0.18 & 0.00 & 0.06 & 0.00 & 0.00 & 0.94\\ 0.18 & 0.00 & 0.06 & 0.00 & 0.00 & 0.94\\
0.21 & 0.00 & 0.05 & 0.00 & 0.00 & 0.95\\ 0.21 & 0.00 & 0.05 & 0.00 & 0.00 & 0.95\\
0.24 & 0.00 & 0.03 & 0.00 & 0.00 & 0.97\\ 0.24 & 0.00 & 0.06 & 0.00 & 0.00 & 0.94\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}}
\end{table} \end{table}

27
tables/simulations/inference/rho.tex
View file

@ -1,21 +1,22 @@
\begin{table}[!h] \begin{table}[!h]
\centering
\caption{\label{tab:per_model_rho}Quality metrics for $\rho$$\text{-}colBiSBM$} \caption{\label{tab:per_model_rho}Quality metrics for $\rho$$\text{-}colBiSBM$}
\centering \centering
\begin{tabular}[t]{rllllll} \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
\begin{tabular}[t]{rllllllllll}
\toprule \toprule
$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$\\ $\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}<Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}=Q_1}$ & $\mathbbb{1}_{\widehat{Q_1}>Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}<Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}=Q_2}$ & $\mathbbb{1}_{\widehat{Q_2}>Q_2}$\\
\midrule \midrule
0.00 & 0 & 0 & 0 & 0 & 0 & 0\\ 0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\\
0.03 & 0.01 & 0.01 & 0.01 & 0.02 & 0 & 0\\ 0.03 & 0.01 & 0.01 & 0.01 & 0.01 & 1 & 0 & 0 & 1 & 0 & 0\\
0.06 & 0.72 $\pm$ 0.01 & 0.74 $\pm$ 0.01 & 0.57 $\pm$ 0.02 & 0.6 $\pm$ 0.02 & 0.61 $\pm$ 0.05 & 0.56 $\pm$ 0.05\\ 0.06 & 0.73 $\pm$ 0.01 & 0.76 $\pm$ 0.01 & 0.55 $\pm$ 0.02 & 0.58 $\pm$ 0.02 & 0.26 $\pm$ 0.04 & 0.74 $\pm$ 0.04 & 0 & 0.04 $\pm$ 0.02 & 0.58 $\pm$ 0.05 & 0.38 $\pm$ 0.05\\
0.09 & 0.94 & 0.97 & 0.83 $\pm$ 0.02 & 0.85 $\pm$ 0.02 & 1 & 0.6 $\pm$ 0.05\\ 0.09 & 0.94 & 0.97 & 0.82 $\pm$ 0.02 & 0.85 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.65 $\pm$ 0.05 & 0.35 $\pm$ 0.05\\
0.12 & 0.98 & 1 & 0.87 $\pm$ 0.02 & 0.9 $\pm$ 0.02 & 1 & 0.75 $\pm$ 0.04\\ 0.12 & 0.97 & 0.99 & 0.84 $\pm$ 0.03 & 0.87 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.68 $\pm$ 0.05 & 0.32 $\pm$ 0.05\\
\addlinespace \addlinespace
0.15 & 0.98 & 1 & 0.83 $\pm$ 0.03 & 0.88 $\pm$ 0.02 & 1 & 0.72 $\pm$ 0.04\\ 0.15 & 0.98 & 1 & 0.88 $\pm$ 0.02 & 0.9 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.78 $\pm$ 0.04 & 0.22 $\pm$ 0.04\\
0.18 & 0.98 & 1 & 0.82 $\pm$ 0.03 & 0.87 $\pm$ 0.02 & 0.99 $\pm$ 0.01 & 0.71 $\pm$ 0.04\\ 0.18 & 0.98 & 1 & 0.86 $\pm$ 0.03 & 0.89 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.74 $\pm$ 0.04 & 0.26 $\pm$ 0.04\\
0.21 & 0.98 & 1 & 0.87 $\pm$ 0.02 & 0.9 $\pm$ 0.02 & 1 & 0.77 $\pm$ 0.04\\ 0.21 & 0.97 & 1 & 0.81 $\pm$ 0.03 & 0.86 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.69 $\pm$ 0.04 & 0.31 $\pm$ 0.04\\
0.24 & 0.98 & 1 & 0.84 $\pm$ 0.03 & 0.88 $\pm$ 0.02 & 1 & 0.72 $\pm$ 0.04\\ 0.24 & 0.98 & 1 & 0.84 $\pm$ 0.03 & 0.88 $\pm$ 0.02 & 0 & 0.99 $\pm$ 0.01 & 0.01 $\pm$ 0.01 & 0 & 0.73 $\pm$ 0.04 & 0.27 $\pm$ 0.04\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}}
\end{table} \end{table}

19
tables/simulations/inference/sep.tex
View file

@ -1,21 +1,22 @@
\begin{table}[!h] \begin{table}[!h]
\centering
\caption{\label{tab:per_model_sep}Quality metrics for $sep\text{-}BiSBM$} \caption{\label{tab:per_model_sep}Quality metrics for $sep\text{-}BiSBM$}
\centering \centering
\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{
\begin{tabular}[t]{rllll} \begin{tabular}[t]{rllll}
\toprule \toprule
$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$\\ $\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$\\
\midrule \midrule
0.00 & 0 & 0 & 0 & 0\\ 0.00 & 0 & 0 & 0 & 0\\
0.03 & 0.01 & 0.02 & 0.02 & 0.02\\ 0.03 & 0.01 & 0.02 & 0.02 & 0.02\\
0.06 & 0.69 $\pm$ 0.02 & 0.68 $\pm$ 0.02 & 0.38 $\pm$ 0.02 & 0.36 $\pm$ 0.02\\ 0.06 & 0.69 $\pm$ 0.01 & 0.68 $\pm$ 0.01 & 0.38 $\pm$ 0.02 & 0.38 $\pm$ 0.02\\
0.09 & 0.97 & 0.96 & 0.55 $\pm$ 0.02 & 0.52 $\pm$ 0.02\\ 0.09 & 0.97 & 0.97 & 0.53 $\pm$ 0.02 & 0.52 $\pm$ 0.02\\
0.12 & 1 & 1 & 0.51 $\pm$ 0.02 & 0.52 $\pm$ 0.02\\ 0.12 & 1 & 0.99 & 0.53 $\pm$ 0.02 & 0.52 $\pm$ 0.02\\
\addlinespace \addlinespace
0.15 & 1 & 1 & 0.54 $\pm$ 0.02 & 0.54 $\pm$ 0.02\\ 0.15 & 1 & 1 & 0.57 $\pm$ 0.02 & 0.53 $\pm$ 0.02\\
0.18 & 1 & 1 & 0.56 $\pm$ 0.02 & 0.54 $\pm$ 0.02\\ 0.18 & 1 & 1 & 0.55 $\pm$ 0.02 & 0.55 $\pm$ 0.02\\
0.21 & 1 & 1 & 0.56 $\pm$ 0.02 & 0.57 $\pm$ 0.02\\ 0.21 & 1 & 1 & 0.58 $\pm$ 0.02 & 0.52 $\pm$ 0.02\\
0.24 & 1 & 1 & 0.57 $\pm$ 0.02 & 0.57 $\pm$ 0.02\\ 0.24 & 1 & 1 & 0.57 $\pm$ 0.02 & 0.54 $\pm$ 0.02\\
\bottomrule \bottomrule
\end{tabular} \end{tabular}}
\end{table} \end{table}