 
$\phi_g$ & 3/10 & tipping point 1 of quantile curve\\
$\varphi_g$ & 40 & tipping point 2 of rectangle quantile curve\\
$\tau_g$  & 0.5   &  communication rate of $\omega_s$\\ 
\bottomrule
\end{tabulary}
\end{table}

\begin{table*}[t]
\centering
\caption{Average accuracy of three runs on the three datasets under different settings for the labels-at-client scenario. Note that the Non-IID-III setting is different from other settings, where the ratios of labeled and unlabeled data are different on different clients.
}
\label{tab:lc}
\vspace{-0.1in}
\begin{small}
\begin{tabulary}{\linewidth}{c|l|ccc|ccc|ccc||ccc}
\toprule
 \multicolumn{2}{c|}{\textbf{Setting}} &\multicolumn{3}{c|}{\textbf{IID}}&\multicolumn{3}{c|}{\textbf{Non-IID-I}}&\multicolumn{3}{c||}{\textbf{Non-IID-II}}&\multicolumn{3}{c}{\textbf{Non-IID-III}}\\\hline
\textbf{ Ratio} &\textbf{Model} &{MNIST}&{CIFAR}&{SVHN}&{MNIST}&{CIFAR}&{SVHN}&{MNIST}&{CIFAR}&{SVHN}&{MNIST}&{CIFAR}&{SVHN}\\
\midrule
\multirow{8}{*}{$\gamma=0.10$}
&FedAvg      & 95.13\%   & 49.14\% & 79.41\% &  88.66\%   & 38.09\% & 45.84\%&  88.66\%   & 38.09\% & 45.84\%& 94.94\%   & 54.59\% & 80.12\%\\
&FedAvg$+$   & 96.20\%   & 57.37\% & 86.12\% &  92.95\%   & 40.78\% & 75.27\%&  92.95\%   & 40.78\% & 75.27\%& 96.08\%   & 57.73\% & 82.96\%\\
&FedSem      & 96.49\%   & 50.61\% & 85.70\% &  90.79\%   & 30.64\% & 52.50\%& 93.85\%   & 32.23\% & 62.28\%& 96.05\%   & 53.94\% & 82.12\%\\
&FedFixMatch & 93.19\%   & 56.47\% & 87.04\% &  86.68\%   & 41.98\% & 74.78\%& 86.80\%   & 43.49\% & 77.25\%& 92.92\%   & 55.32\% & 84.04\%\\
&FedMatch    & 94.11\%   & 55.17\% & 86.92\% &  86.61\%   & 44.88\% & 78.18\%& 88.66\%   & 45.81\% & 77.35\%& 92.91\%   & 49.64\% & 84.56\%\\\cline{2-14}
&{{\texttt{FedSiam}}}-$\Pi$  & 97.04\%   & 60.87\% & 87.33\% & 95.35\%   & 45.78\% & 81.30\% & 94.28\%   & 48.01\% & 81.60\%& 96.79\%   & 55.05\% & 84.93\%\\
&{{\texttt{FedSiam}}}-MT  & 97.16\% & \textbf{64.44\%} & 87.66\% &  94.95\% & 45.70\% & \textbf{81.87\%}& 94.36\% & \textbf{58.77\%} & 84.60\%& 97.00\% & \textbf{59.42\%} & 86.34\%\\
&{{\texttt{FedSiam}}}-D   & \textbf{97.22\%} & 64.12\% & \textbf{88.76\%} & \textbf{95.61\%} & \textbf{48.11\%} & 81.61\% & \textbf{95.20\%} & 57.71\% & \textbf{84.95\%}& \textbf{97.01\%} & 59.24\% & \textbf{87.80\%}\\
\bottomrule
\multirow{8}{*}{$\gamma=0.15$}
&FedAvg      & 95.84\%   & 57.42\% & 83.60\%& 92.37\%   & 43.13\% & 58.98\% & 92.37\%   & 43.13\% & 58.98\% & -- & -- & --\\
&FedAvg$+$   & 96.77\%   & 62.37\% & 88.21\%& 92.73\%   & 42.52\% & 75.52\%& 92.73\%   & 42.52\% & 75.52\%& -- & -- & --\\
&FedSem      & 96.47\%   & 58.70\% & 87.61\%& 89.88\%   & 31.91\% & 59.87\%& 93.62\%   & 38.32\% & 57.13\% & -- & -- & --\\
&FedFixMatch & 94.29\%   & 61.66\% & 88.61\%& 89.84\%   & 45.01\% & 74.70\%& 89.54\%   & 49.81\% & 79.11\%  & -- & -- & --\\
&FedMatch    & 93.52\%   & 62.61\% & 88.88\%& 85.98\%   & 44.49\% & 78.55\%& 88.49\%   & 48.16\% & 76.51\%& -- & -- & --\\\cline{2-14}
&{{\texttt{FedSiam}}}-$\Pi$  & 97.09\%   & 65.70\% & 89.55\%& 94.84\%   & 46.43\% & 83.01\% & 94.20\%   & 49.25\% & 82.32\%& -- & -- & --\\
&{{\texttt{FedSiam}}}-MT  & 97.22\% & 65.70\% & \textbf{91.63\%}& 95.44\% & \textbf{47.21\%}  & \textbf{83.95\%} & \textbf{95.66\%} & \textbf{61.00\%} & 85.70\%& -- & -- & --\\
&{{\texttt{FedSiam}}}-D   & \textbf{97.59\%} & \textbf{68.10\%} & 89.37\%& \textbf{95.89\%} & 46.40\%& 83.17\% & \textbf{95.66\%} & 57.40\% & \textbf{86.39\%}& -- & -- & --\\
\bottomrule
\multirow{8}{*}{$\gamma=0.20$}
&FedAvg      & 96.30\%   & 65.53\% & 87.57\% & 92.82\%   & 45.37\% & 68.98\%& 92.82\%   & 45.37\% & 68.98\%& -- & -- & --\\
&FedAvg$+$   & 97.25\%   & 66.51\% & 89.49\% & 92.88\%   & 48.22\% & 80.34\%& 92.88\%   & 48.22\% & 80.34\%& -- & -- & --\\
&FedSem      & 97.11\%   & 67.58\% & 89.24\% & 92.26\%   & 32.24\% & 65.75\%& 92.37\%   & 41.16\% & 69.81\% & -- & -- & --\\
&FedFixMatch & 94.68\%   & 66.54\% & 90.60\% & 90.25\%   & 45.31\% & 78.97\%& 87.44\%   & 49.62\% & 78.92\%& -- & -- & --\\
&FedMatch    & 94.92\%   & 64.73\% & 89.88\% & 86.14\%   & 46.36\% & 80.62\%& 87.70\%   & 49.41\% & 79.54\%& -- & -- & --\\\cline{2-14}
&{{\texttt{FedSiam}}}-$\Pi$  & 97.58\%   & 68.26\% & 91.02\% & 95.03\%   & 45.84\% & 84.92\% & 95.71\%   & 45.52\% & 83.29\%& -- & -- & --\\
&{{\texttt{FedSiam}}}-MT  & \textbf{97.60\%} & \textbf{71.79\%} & \textbf{91.36\%} & 95.60\% & \textbf{52.57\%}  & 83.72\% & \textbf{95.89\%} &