From f3eeb2b403c660542a20f00d2331672691b8454f Mon Sep 17 00:00:00 2001 From: Louis Lacoste Date: Mon, 15 Jul 2024 23:35:27 +0200 Subject: [PATCH] =?UTF-8?q?rapport=20:=20sub=20tables=20pour=20l'inf=C3=A9?= =?UTF-8?q?rence?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../chapter4-simulations/model-selection.tex | 16 ++--- .../network-clustering.tex | 24 ++++---- rapport/rapport.pdf | Bin 722042 -> 739261 bytes tables/simulations/inference/iid.tex | 57 +++++++++++++----- tables/simulations/inference/pi.tex | 57 +++++++++++++----- tables/simulations/inference/pirho.tex | 57 +++++++++++++----- tables/simulations/inference/rho.tex | 57 +++++++++++++----- tables/simulations/inference/sep.tex | 12 +++- 8 files changed, 201 insertions(+), 79 deletions(-) diff --git a/rapport/chapter4-simulations/model-selection.tex b/rapport/chapter4-simulations/model-selection.tex index d5e7235..3ef008e 100644 --- a/rapport/chapter4-simulations/model-selection.tex +++ b/rapport/chapter4-simulations/model-selection.tex @@ -1,12 +1,12 @@ \section[Capacity to distinguish models]{Capacity to distinguish $\pi\rho\text{-}colBiSBM$~from\newline $iid\text{-}colBiSBM$ and other - models}\label{capacity-to-distinguish-pirhotext-colbisbm-from-iidtext-colbisbm-and-other-variants} + models}\label{sec:capacity-to-distinguish-pirhotext-colbisbm-from-iidtext-colbisbm-and-other-variants} The idea of this model selection simulations is to assess how the model select the correct \emph{colBiSBM} model among the possible ones: -\textit{iid, pi, rho, pirho}. This difference being based on the row and +\textit{$iid, \pi, \rho, \pi\rho$}. This difference being based on the row and col block proportions.\\ -For this task we choose the same simulation settings as +\paragraph{Simulation settings} For this task we choose the same simulation settings as \cite{chabert-liddellLearningCommonStructures2024a}.\\ Namely, $n_{1}^{m} = 90, n_{2}^{m} = 90, Q_1 = Q_2 = 3$, $\bm{\alpha}, \bm{\pi}$ and $\bm{\rho}$ are set as follows:\\ @@ -55,9 +55,8 @@ $\bm{\pi}^1 \neq \bm{\pi}^2$ and $\eps[\rho] > 0$ or $\bm{\rho}^1 \neq \bm{\rho}^2$, the model is a $\pi\rho\text{-}colBiSBM$. -\input{../tables/simulations/model_selection/model-selection.tex} -\begin{figure}[H] +\begin{figure}[!ht] \centering \input{../tikz/simulations/model_selection/eps-pi-rho-preferred.tex} \caption{\label{fig:pref_model_func_eps}Plot of model selection proportions @@ -75,6 +74,9 @@ very often and after $0.2$ the $\pi\text{-}colBiSBM$ (resp. $\rho\text{-}colBiSBM$) and $\pi\rho\text{-}colBiSBM$ gets more and more selected. Moreover, the number of blocks are correctly detected in most of the case. - These two results highlight our capacity to recover the simulated -structure. \ No newline at end of file +structure. + +As $\eps[\pi]$ and $\eps[\rho]$ need to be above $0.2$ to see $\pi\rho$ model +being preferred this may indicate the need of a strong difference between blocks +to select this model. \ No newline at end of file diff --git a/rapport/chapter4-simulations/network-clustering.tex b/rapport/chapter4-simulations/network-clustering.tex index 42e309a..1ff887d 100644 --- a/rapport/chapter4-simulations/network-clustering.tex +++ b/rapport/chapter4-simulations/network-clustering.tex @@ -1,13 +1,12 @@ -\section{Network clustering of simulated networks}\label{sec:network-clustering-of-simulated-networks} +\section{Network clustering of simulated networks} +\label{sec:network-clustering-of-simulated-networks} \paragraph{Simulation settings} For all models we simulate $M = 9$ networks with $\forall m \in \{ 1 \dots M \} , n^m_1 = n^m_2 = 75$ with $Q_1 = Q_2 = 3$. For the simulations the proportions are the following: - \begin{align*} - \bm{\pi}^1 = \left( 0.2, 0.3, 0.5 \right) & & \bm{\rho}^1 = \left( 0.2, 0.3, 0.5 \right) -\end{align*} -and for all $m = 2,\dots,9$ + \bm{\pi}^1 = \left( 0.2, 0.3, 0.5 \right) & & \bm{\rho}^1 = \left( 0.2, 0.3, 0.5 \right) \\ +\end{align*} and for all $m = 2,\dots,9$ \begin{align*} \bm{\pi}^m = \begin{cases} \bm{\pi}^1 & \text{for } iid\text{-}colBiSBM \\ @@ -24,23 +23,22 @@ $\sigma^1 (\pi)= {(\pi_{\sigma^1 (i)})}_{i=\{1,\dots,3\}}$ and $\sigma^2 (\rho)= {(\rho_{\sigma^2 (i)})}_{i=\{1,\dots,3\}}$. The networks are divided into 3 sub-collections of 3 networks with connectivity parameters as follows: - \begin{align*} \bm{\alpha}^{as} = .3 + \begin{pmatrix} \epsilon & - \frac{\epsilon}{2} & - \frac{\epsilon}{2} \\ - \frac{\epsilon}{2} & \epsilon & - \frac{\epsilon}{2} \\ - \frac{\epsilon}{2} & - \frac{\epsilon}{2} & \epsilon - \end{pmatrix}, & & - \bm{\alpha}^{cp} = .3 + \begin{pmatrix} - \frac{3 \epsilon}{2} & \epsilon & \frac{\epsilon}{2} \\ - \epsilon & \frac{\epsilon}{2} & 0 \\ - \frac{\epsilon}{2} & 0 & - \frac{\epsilon}{2} - \end{pmatrix}, & & + \end{pmatrix}, & & \bm{\alpha}^{dis} = .3 + \begin{pmatrix} - \frac{\epsilon}{2} & \epsilon & \epsilon \\ \epsilon & - \frac{\epsilon}{2} & \epsilon \\ \epsilon & \epsilon & - \frac{\epsilon}{2} - \end{pmatrix}, + \end{pmatrix}, \\ + & \bm{\alpha}^{cp} = .3 + \begin{pmatrix} + \frac{3 \epsilon}{2} & \epsilon & \frac{\epsilon}{2} \\ + \epsilon & \frac{\epsilon}{2} & 0 \\ + \frac{\epsilon}{2} & 0 & - \frac{\epsilon}{2} + \end{pmatrix} & \end{align*} with $\epsilon \in [.1, .4]$. $\bm{\alpha}^{as}$ represents a classical assortative community structure, diff --git a/rapport/rapport.pdf b/rapport/rapport.pdf index 79ccc762dd29d8ae2d1a88d372539890901af4bb..6f53ee044ab1877d21ac3d4f015e91f76416c15a 100644 GIT binary patch delta 166825 zcmZU*V{j%;@U9)(wr$(CZQJ$}+qRvJZQI${wl>x#XMg|mqUxMa(=**u)$^&RueobJ zBI$Y)=mSH6LqS48Tfj)vFUpV&8Li;z9JL*&R5nv3qCvjsQk-@AJGa{>J8im2#$bvs99*M!<&p3w}30xboa z6+eR@WRR{yu5~E%4^~uW`B+s>hyc1Efmi4|N?1YnD_EZSn*$6iA*j)N7PwxdAh-h3 zS5M>m0FA$Sk$h(;m{J`|+xs~jxc#B5OKMC}`f^al{o3W$1^~>NI`L3Z0*(qko?YL^ z-OR{ovT0Tf{CSf6X|b|G7&!_R(cf$z7=(x}$O(!Nbos*-Sa4zce_8@R*#WyTUcl`~ z)p!kj-}x>AiA)6Dnrx@zf5v@4@8VwrRv*mhl0+o5X;AH5&@Q$T*s?|T#wTp>sqo|V z#FDMCf*(&8*Lvq$&tu6YsN;*fM_cBAh45t%L~{A$9*EaO9y>&Wu8JuPK!nSDj(7!T~lU1NX(%_ zF0H@E9z2UoHC8@46*Bq57`l@Q@f8I+wdqpnXqs-HM_+3Z)=ViYDZe^FX@HyI!O!c& zUE-*AUOeQfcLc0sE(oAJS*iuoRGPl3t2WDO$!Yf*aCKx+BjQ&~x}AVjC?=@P4h>*4Y~NsP(Od`467)@*t8q{Jva zi=mR=K{ChyyXrjpLlf855Q%<+2nO+plI!$p?>c6#}?6T^K=Cvi^xGK*0*CwTJbLL|A z-kwzwJ^P5+Ix%ildlP1jT@efHo_dxb&N14ZTcQqx7y^`0Sr;Dm+Ue^7RcU3rz0SWprajeK5 zNnNoIp-(RAi+bRYcd_B&0>tELuzWUbhZRh>1sdS@_1T2bqQ_kgSs(2oyP=WiA}7l9 zc^J}W*c0->8%dIRosZ*&s8{N#C>u-nbD7({_{UxQZfPu93$YQO0Jg*~)Jr>t?}a+h z`fm1Ig9%q{3~s}tao|MJj!<0OQrN7woLnT0oyKcWV*l!E2I}GlDAOv_`BBgrryXA~ zAq&tUxnGla_4g)SBx4rIAEx1jy<9!B2UoiAel!XbS733acey}3Z%xwF`MCI}LoP>kCd&PkT1_;y9(u}s5Wk*xV0F2{ zB(cEQi}gjZ&=<8347F+colYoP9?3DUkqscOY%w|d$;s0d6VeyHKpUr6df7JAFOGTi zB~;u^CIQmaa4M6lb+&gCg23t0z0bxQ-XtdZyt|*raXzgqm!B7MJ03?<7XX2h$6|&U zrh;BpKCdy;jjSb%cST2vNC#RW2MTc?(I^a(e8LD{8Sn5;5(BS7UENR5QSAqI8Us*Z zHLQ0j-7r!@lV4alk@4nrZB? zY#P!OQ@;ZlXF0T*ThE~X#&`FX0m`o%*+X2x+stk#+|SL9;Ilgwyp0&m0oU`eedouf z3gdF)znau?^UJ$BB{rmV28y;Rt@Zl5AOQf}iB`v#v2Ox~2F%hPs0Zc-0nFY0Yyx%; z56s@a>jWl)k^#~HgWAp;0tO5BZ%Hx%Y~{ZZKNqYM5rl&+WAGG=2B7P@HHIE=R=?i9 zeq+`7Dm!*m<)_MLT7fe?OXmIsloAP+LxKh5miGM-00}EYLY|}s#bbYot*ZxQiP*>g z+B?892-2*=OntA2Eg@fnpAtlEd@spj9%AlQTBaiBU7i;wCvKrOAU_zJ?qGz*8t!0Y zfrq?UKPoyNi&^+M0}x|c0q$2|w$DNzY9#ve0dzR=YXycg%Y6=k?)Eb>rvv?>&q9IA zh<%2-NO&f9)$2Bsm0&HOoAREI=`2o|@>B%re56Oo1c~nv<<33XJMP=cC*)g!)e(3I z`?Pn+f7(yzED#`4C@9S4b*rre{1+5fB1<@QA1IZ3!5jFr126{K1Ex=mS+A9f#aJi~ zzOdU+Ik>EgK_7a79}_>|jS->*N~je(a6|e;bdSjrBvLwfRT=aLTqOyD0=i5JxUocB zjjUa&ovuS#+zg>QnWpfh7F)`E5oSb1xRq#RODOO*u%t@(E^M=Oc?3m>YzBz_Tvi5i z0d{C8kjT**3J_dqD~eB? z`i3hmN&?nk*ppIf(*gquO)CTolhTI{+(Ie+HYWVO1VGhC@@l2zSxS34rYk-P_S6

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b/tables/simulations/inference/iid.tex @@ -1,22 +1,51 @@ -\begin{table}[!h] + +\begin{table}[!htb] \centering -\caption{\label{tab:per_model_iid}Quality metrics for $iid$$\text{-}colBiSBM$} +\caption{\label{tab:inference_results_iid}Inference results for $iid$} +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:ari_per_model_iid}Quality metrics for $iid$$\text{-}colBiSBM$} \centering \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ -\begin{tabular}[t]{rllllllllll} +\begin{tabular}[t]{rllll} \toprule -$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}Q_2}$\\ +$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$\\ \midrule -0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\\ -0.03 & 0.01 & 0.01 & 0.01 & 0.01 & 1 & 0 & 0 & 1 & 0 & 0\\ -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 & 0.96 & 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 & 0.92 $\pm$ 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\\ +0.00 & 0 & 0 & 0 & 0\\ +0.03 & 0.01 & 0.01 & 0.01 & 0.01\\ +0.06 & 0.71 $\pm$ 0.01 & 0.7 $\pm$ 0.01 & 0.56 $\pm$ 0.02 & 0.54 $\pm$ 0.02\\ +0.09 & 0.96 & 0.96 & 0.9 $\pm$ 0.02 & 0.89 $\pm$ 0.02\\ +0.12 & 0.99 & 0.99 & 0.92 $\pm$ 0.02 & 0.91 $\pm$ 0.02\\ \addlinespace -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 & 0.94 $\pm$ 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 & 0.93 $\pm$ 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 & 0.93 $\pm$ 0.02 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03\\ +0.15 & 1 & 0.99 & 0.92 $\pm$ 0.02 & 0.92 $\pm$ 0.02\\ +0.18 & 1 & 1 & 0.94 $\pm$ 0.02 & 0.94 $\pm$ 0.02\\ +0.21 & 1 & 1 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02\\ +0.24 & 1 & 1 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02\\ \bottomrule \end{tabular}} -\end{table} \ No newline at end of file +\end{subtable} + +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:blocrecov_per_model_iid}Bloc recovery for $iid$$\text{-}colBiSBM$} +\centering +\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ +\begin{tabular}[t]{rllllll} +\toprule +$\eps[\alpha]$ & $\mathbbb{1}_{\widehat{Q_1}Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}Q_2}$\\ +\midrule +0.00 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.03 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.06 & 0.29 $\pm$ 0.04 & 0.71 $\pm$ 0.04 & 0 & 0.42 $\pm$ 0.05 & 0.57 $\pm$ 0.05 & 0.01 $\pm$ 0.01\\ +0.09 & 0 & 0.99 $\pm$ 0.01 & 0.01 $\pm$ 0.01 & 0 & 0.96 $\pm$ 0.02 & 0.04 $\pm$ 0.02\\ +0.12 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.91 $\pm$ 0.03 & 0.09 $\pm$ 0.03\\ +\addlinespace +0.15 & 0 & 0.97 $\pm$ 0.02 & 0.03 $\pm$ 0.02 & 0 & 0.87 $\pm$ 0.03 & 0.13 $\pm$ 0.03\\ +0.18 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03\\ +0.21 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.92 $\pm$ 0.03 & 0.08 $\pm$ 0.03\\ +0.24 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03\\ +\bottomrule +\end{tabular}} +\end{subtable} +\end{table} + diff --git a/tables/simulations/inference/pi.tex b/tables/simulations/inference/pi.tex index 0a43644..2921dc6 100644 --- a/tables/simulations/inference/pi.tex +++ b/tables/simulations/inference/pi.tex @@ -1,22 +1,51 @@ -\begin{table}[!h] + +\begin{table}[!htb] \centering -\caption{\label{tab:per_model_pi}Quality metrics for $\pi$$\text{-}colBiSBM$} +\caption{\label{tab:inference_results_pi}Inference results for $\pi$} +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:ari_per_model_pi}Quality metrics for $\pi$$\text{-}colBiSBM$} \centering \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ -\begin{tabular}[t]{rllllllllll} +\begin{tabular}[t]{rllll} \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}$\\ \midrule -0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 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 & 0.64 $\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 & 0.69 $\pm$ 0.04 & 0.31 $\pm$ 0.04 & 0 & 1 & 0\\ -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\\ +0.00 & 0 & 0 & 0 & 0\\ +0.03 & 0.01 & 0.01 & 0.01 & 0.01\\ +0.06 & 0.74 $\pm$ 0.01 & 0.71 $\pm$ 0.01 & 0.64 $\pm$ 0.02 & 0.59 $\pm$ 0.02\\ +0.09 & 0.97 & 0.95 & 0.87 $\pm$ 0.02 & 0.84 $\pm$ 0.02\\ +0.12 & 1 & 0.98 & 0.92 $\pm$ 0.02 & 0.91 $\pm$ 0.02\\ \addlinespace -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 & 0.95 $\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 & 0.93 $\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 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.02 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03 & 0 & 1 & 0\\ +0.15 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.89 $\pm$ 0.02\\ +0.18 & 1 & 0.99 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.02\\ +0.21 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.9 $\pm$ 0.02\\ +0.24 & 1 & 0.99 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.02\\ \bottomrule \end{tabular}} -\end{table} \ No newline at end of file +\end{subtable} + +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:blocrecov_per_model_pi}Bloc recovery for $\pi$$\text{-}colBiSBM$} +\centering +\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ +\begin{tabular}[t]{rllllll} +\toprule +$\eps[\alpha]$ & $\mathbbb{1}_{\widehat{Q_1}Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}Q_2}$\\ +\midrule +0.00 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.03 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.06 & 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 & 0.69 $\pm$ 0.04 & 0.31 $\pm$ 0.04 & 0 & 1 & 0\\ +0.12 & 0 & 0.8 $\pm$ 0.04 & 0.2 $\pm$ 0.04 & 0 & 1 & 0\\ +\addlinespace +0.15 & 0 & 0.81 $\pm$ 0.04 & 0.19 $\pm$ 0.04 & 0 & 1 & 0\\ +0.18 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03 & 0 & 1 & 0\\ +0.21 & 0 & 0.83 $\pm$ 0.04 & 0.17 $\pm$ 0.04 & 0 & 1 & 0\\ +0.24 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03 & 0 & 1 & 0\\ +\bottomrule +\end{tabular}} +\end{subtable} +\end{table} + diff --git a/tables/simulations/inference/pirho.tex b/tables/simulations/inference/pirho.tex index 0c27780..5292899 100644 --- a/tables/simulations/inference/pirho.tex +++ b/tables/simulations/inference/pirho.tex @@ -1,22 +1,51 @@ -\begin{table}[!h] + +\begin{table}[!htb] \centering -\caption{\label{tab:per_model_pirho}Quality metrics for $\pi\rho$$\text{-}colBiSBM$} +\caption{\label{tab:inference_results_pirho}Inference results for $\pi\rho$} +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:ari_per_model_pirho}Quality metrics for $\pi\rho$$\text{-}colBiSBM$} \centering \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ -\begin{tabular}[t]{rllllllllll} +\begin{tabular}[t]{rllll} \toprule -$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$ & $\mathbbb{1}_{\widehat{Q_1}Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}Q_2}$\\ +$\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\text{ARI}_{1}$ & $\text{ARI}_{2}$\\ \midrule -0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 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 & 0.66 $\pm$ 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 & 0.9 $\pm$ 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 & 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\\ +0.00 & 0 & 0 & 0 & 0\\ +0.03 & 0.01 & 0.01 & 0.01 & 0.01\\ +0.06 & 0.76 $\pm$ 0.01 & 0.75 $\pm$ 0.01 & 0.66 $\pm$ 0.02 & 0.66 $\pm$ 0.02\\ +0.09 & 0.97 & 0.97 & 0.9 $\pm$ 0.02 & 0.89 $\pm$ 0.02\\ +0.12 & 1 & 0.99 & 0.93 $\pm$ 0.02 & 0.93 $\pm$ 0.02\\ \addlinespace -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 & 0.95 $\pm$ 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 & 0.95 $\pm$ 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 & 0.94 $\pm$ 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\\ +0.15 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.94 $\pm$ 0.02\\ +0.18 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.95 $\pm$ 0.02\\ +0.21 & 1 & 1 & 0.95 $\pm$ 0.01 & 0.94 $\pm$ 0.02\\ +0.24 & 1 & 1 & 0.94 $\pm$ 0.02 & 0.93 $\pm$ 0.02\\ \bottomrule \end{tabular}} -\end{table} \ No newline at end of file +\end{subtable} + +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:blocrecov_per_model_pirho}Bloc recovery for $\pi\rho$$\text{-}colBiSBM$} +\centering +\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ +\begin{tabular}[t]{rllllll} +\toprule +$\eps[\alpha]$ & $\mathbbb{1}_{\widehat{Q_1}Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}Q_2}$\\ +\midrule +0.00 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.03 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.06 & 0.1 $\pm$ 0.03 & 0.88 $\pm$ 0.03 & 0.02 $\pm$ 0.01 & 0.08 $\pm$ 0.03 & 0.86 $\pm$ 0.03 & 0.06 $\pm$ 0.02\\ +0.09 & 0 & 0.9 $\pm$ 0.03 & 0.1 $\pm$ 0.03 & 0 & 0.87 $\pm$ 0.03 & 0.13 $\pm$ 0.03\\ +0.12 & 0 & 0.9 $\pm$ 0.03 & 0.1 $\pm$ 0.03 & 0 & 0.9 $\pm$ 0.03 & 0.1 $\pm$ 0.03\\ +\addlinespace +0.15 & 0 & 0.95 $\pm$ 0.02 & 0.05 $\pm$ 0.02 & 0 & 0.89 $\pm$ 0.03 & 0.11 $\pm$ 0.03\\ +0.18 & 0 & 0.93 $\pm$ 0.03 & 0.07 $\pm$ 0.03 & 0 & 0.91 $\pm$ 0.03 & 0.09 $\pm$ 0.03\\ +0.21 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.89 $\pm$ 0.03 & 0.11 $\pm$ 0.03\\ +0.24 & 0 & 0.94 $\pm$ 0.02 & 0.06 $\pm$ 0.02 & 0 & 0.88 $\pm$ 0.03 & 0.12 $\pm$ 0.03\\ +\bottomrule +\end{tabular}} +\end{subtable} +\end{table} + diff --git a/tables/simulations/inference/rho.tex b/tables/simulations/inference/rho.tex index 797a426..a34f003 100644 --- a/tables/simulations/inference/rho.tex +++ b/tables/simulations/inference/rho.tex @@ -1,22 +1,51 @@ -\begin{table}[!h] + +\begin{table}[!htb] \centering -\caption{\label{tab:per_model_rho}Quality metrics for $\rho$$\text{-}colBiSBM$} +\caption{\label{tab:inference_results_rho}Inference results for $\rho$} +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:ari_per_model_rho}Quality metrics for $\rho$$\text{-}colBiSBM$} \centering \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ -\begin{tabular}[t]{rllllllllll} +\begin{tabular}[t]{rllll} \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}$\\ \midrule -0.00 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\\ -0.03 & 0.01 & 0.01 & 0.01 & 0.01 & 1 & 0 & 0 & 1 & 0 & 0\\ -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 & 0.82 $\pm$ 0.02 & 0.85 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.65 $\pm$ 0.05 & 0.35 $\pm$ 0.05\\ -0.12 & 0.97 & 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\\ +0.00 & 0 & 0 & 0 & 0\\ +0.03 & 0.01 & 0.01 & 0.01 & 0.01\\ +0.06 & 0.73 $\pm$ 0.01 & 0.76 $\pm$ 0.01 & 0.55 $\pm$ 0.02 & 0.58 $\pm$ 0.02\\ +0.09 & 0.94 & 0.97 & 0.82 $\pm$ 0.02 & 0.85 $\pm$ 0.02\\ +0.12 & 0.97 & 0.99 & 0.84 $\pm$ 0.03 & 0.87 $\pm$ 0.02\\ \addlinespace -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 & 0.86 $\pm$ 0.03 & 0.89 $\pm$ 0.02 & 0 & 1 & 0 & 0 & 0.74 $\pm$ 0.04 & 0.26 $\pm$ 0.04\\ -0.21 & 0.97 & 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 & 0 & 0.99 $\pm$ 0.01 & 0.01 $\pm$ 0.01 & 0 & 0.73 $\pm$ 0.04 & 0.27 $\pm$ 0.04\\ +0.15 & 0.98 & 1 & 0.88 $\pm$ 0.02 & 0.9 $\pm$ 0.02\\ +0.18 & 0.98 & 1 & 0.86 $\pm$ 0.03 & 0.89 $\pm$ 0.02\\ +0.21 & 0.97 & 1 & 0.81 $\pm$ 0.03 & 0.86 $\pm$ 0.02\\ +0.24 & 0.98 & 1 & 0.84 $\pm$ 0.03 & 0.88 $\pm$ 0.02\\ \bottomrule \end{tabular}} -\end{table} \ No newline at end of file +\end{subtable} + +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:blocrecov_per_model_rho}Bloc recovery for $\rho$$\text{-}colBiSBM$} +\centering +\resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ +\begin{tabular}[t]{rllllll} +\toprule +$\eps[\alpha]$ & $\mathbbb{1}_{\widehat{Q_1}Q_1}$ & $\mathbbb{1}_{\widehat{Q_2}Q_2}$\\ +\midrule +0.00 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.03 & 1 & 0 & 0 & 1 & 0 & 0\\ +0.06 & 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 & 1 & 0 & 0 & 0.65 $\pm$ 0.05 & 0.35 $\pm$ 0.05\\ +0.12 & 0 & 1 & 0 & 0 & 0.68 $\pm$ 0.05 & 0.32 $\pm$ 0.05\\ +\addlinespace +0.15 & 0 & 1 & 0 & 0 & 0.78 $\pm$ 0.04 & 0.22 $\pm$ 0.04\\ +0.18 & 0 & 1 & 0 & 0 & 0.74 $\pm$ 0.04 & 0.26 $\pm$ 0.04\\ +0.21 & 0 & 1 & 0 & 0 & 0.69 $\pm$ 0.04 & 0.31 $\pm$ 0.04\\ +0.24 & 0 & 0.99 $\pm$ 0.01 & 0.01 $\pm$ 0.01 & 0 & 0.73 $\pm$ 0.04 & 0.27 $\pm$ 0.04\\ +\bottomrule +\end{tabular}} +\end{subtable} +\end{table} + diff --git a/tables/simulations/inference/sep.tex b/tables/simulations/inference/sep.tex index aac2ed6..ca4926f 100644 --- a/tables/simulations/inference/sep.tex +++ b/tables/simulations/inference/sep.tex @@ -1,6 +1,10 @@ -\begin{table}[!h] + +\begin{table}[!htb] \centering -\caption{\label{tab:per_model_sep}Quality metrics for $sep\text{-}BiSBM$} +\caption{\label{tab:inference_results_sep}Inference results for $sep$} +\begin{subtable}{\textwidth} +\centering +\caption{\label{subtab:ari_per_model_sep}Quality metrics for $sep\text{-}BiSBM$} \centering \resizebox{\ifdim\width>\linewidth\linewidth\else\width\fi}{!}{ \begin{tabular}[t]{rllll} @@ -19,4 +23,6 @@ $\eps[\alpha]$ & $\overline{\text{ARI}}_{1}$ & $\overline{\text{ARI}}_{2}$ & $\t 0.24 & 1 & 1 & 0.57 $\pm$ 0.02 & 0.54 $\pm$ 0.02\\ \bottomrule \end{tabular}} -\end{table} \ No newline at end of file +\end{subtable} +\end{table} +