~

AAAI2021/paper.tex

@@ -233,8 +233,8 @@
 \input{tex/experiments.tex}
 \input{tex/last.tex}
 
-\clearpage
-\newpage
+%\clearpage
+%\newpage
 \bibliography{ref.bib}
 
 \end{document}

AAAI2021/tex/experiments.tex

@@ -31,7 +31,8 @@ emerging high compositional symbolic language.
 \begin{figure}[t]
   \centering \includegraphics[width=0.99\columnwidth]{fig/Figure6_Compostionality_of_symbolic_language.pdf}
   \caption{Compositionality of symbolic language under different parameters
-    (mean value with variation $[\mu-\sigma,\mu+\sigma]$).}
+    ($[\mu-\sigma,\mu+\sigma]$, where $\mu$ is the mean value and $\sigma$ is
+    the standard deviation).}
   \label{fig:exp1}
 \end{figure}
 
@@ -41,15 +42,24 @@ to the compositionality of symbolic language. Figure~\ref{fig:exp2} reports the
 ratio of high compositional symbolic language in all emerged languages,
 Figure~\ref{fig:exp2} (a) and (b) for $MIS>0.99$ and $MIS>0.9$, respectively. It
 can be observed that the ratio of high compositional symbolic languages
-decreases drastically with the increase of $h_{size}$. Especially, when $h_size$
-is large enough (e.g., $>40$), high compositional symbolic language is hard to
-emerge in a natural referential game.
+decreases drastically with the increase of $h_{size}$.
+Taking vocabulary size $|V|=4$ as an example, symbolic languages with
+compositionality $MIS>0.99$ take only around 10\% over all the emerged symbolic
+languages, when $h_{size}<20$; the ratio reduces to 0\%$\sim$5\% when $h_{size}$
+increases to 40; the ratio reduces around 3\% when $h_{size}$ goes beyond 40. 
+Especially, when $h_size$ is large enough (e.g., $>40$), high compositional
+symbolic language is hard to emerge in a natural referential game, for
+easy-to-emerge low compositional symbolic language is sufficient in scenarios of
+referential game.
+On other side, agents are enforced to use compositionality to express
+more meanings, for the constraint from low capacity.
 
 
 \begin{figure}[t]
   \centering
   \includegraphics[width=0.99\columnwidth]{fig/Figure7_The_ratio_of_high_compositional_language.pdf}
-  \caption{The ratio of high compositional language. (a) $h_{size}>0.99$. (b) $h_{size}>0.9$}
+  \caption{The ratio of high compositional language. (a) $h_{size}>0.99$. (b)
+    $h_{size}>0.9$. }
   \label{fig:exp2}
 \end{figure}
 

AAAI2021/tex/theory.tex

@@ -50,12 +50,12 @@ circle''.
 \label{ssec:agent}
 
 
-\begin{figure}[t]
+\begin{figure*}[t]
   \centering
-  \includegraphics[width=0.9\columnwidth]{fig/occupy.pdf}
+  \includegraphics[width=1.8\columnwidth]{fig/Figure3_The_architecture_of_agents.pdf}
   \caption{The architecture of agents. \emph{Left:} speaker. \emph{Right:} listener.}
   \label{fig:agents}
-\end{figure}
+\end{figure*}
 
 Figure~\ref{fig:agents} shows the architecture of the constructed agents,
 including the Speaker $S$ and Listener $L$.