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AAAI2021/tex/appendix.tex

@@ -49,19 +49,11 @@ of agent capacity for emerging a symbolic language with high compositionality. F
 the ratio of high compositional symbolic language in all emerged languages,
 Figure~\ref{fig:exp2} (a) and (b) for $\mathit{MIS}>0.99$ and $\mathit{MIS}>0.9$, respectively. 
 Under these two supplementary configuration, we also find that the ratio of high compositional symbolic languages
-decreases drastically with the increase of $h_{size}$, and such ratio would be closed to zero when agent capacity
+decreases drastically with the increase of $h_{size}$, and that such ratio would be closed to zero when agent capacity
 comes too large (i.e., $h_{size} > 80$).
 
-Notably, 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 the other side, agents are enforced to use compositionality to express
-more meanings, for the constraint from low capacity.
 
-
-
-Additionally, we also perform $\chi^2$ test to check the statistical
+For these two supplementary sets of data, we also perform $\chi^2$ test to check the statistical
 significance between the high compositionality and agent
 capacity. Table~\ref{tab:exp10} reports the $\chi^2$ test results for
 $\mathit{MIS}>0.99$ and $\mathit{MIS}>0.9$, respectively. It can be observed that