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AAAI2021/paper.tex

@@ -185,20 +185,21 @@
   
   In this paper, we are the first to successfully achieve high compositional symbolic
   language in a \emph{natural} manner without handcrafted inductions.
-  Initially, by thoroughly investigating the compositionality of emerged symbolic
+  Initially, by investigating the compositionality of emerged symbolic
   language after removing the \emph{deliberately handcrafted}
   inductions, we observe that the agent capacity plays a key role in
   compositionality. We further reveal and characterize the quantitative relationship
-  between the agent capacity and the compositionality of symbolic language both
-  theoretically and experimentally.
+  between the agent capacity and the compositionality of symbolic language, with
+  a novel mutual information-based metric for the compositionality. 
+  % both theoretically and experimentally.
   %The theoretical analysis is built on the MSC
   %(Markov Series Channel) model for the language transmission process and a
   %novel mutual information-based metric for the compositionality.
   %The
   %experiments are conducted on a listener-speaker referential game framework
   %with eliminated external environment factors.
-  Both theoretical analysis and
-  experimental results lead to a counter-intuitive conclusion that lower agent
+  %With a novel mutual information-based metric for the compositionality, 
+  The experimental results lead to a counter-intuitive conclusion that lower agent
   capacity facilitates the emergence of symbolic language with higher
   compositionality. \note{Based on our conclusion, we can generate higher
   compositional symbolic language with a higher probability.}