Compositionality and Generalization in Emergent Languages
Table 7: Statistically significant (p<0.01) Spearman correlations between retraining performance (measured by new Receiver Learning Speed and Generalization) and compositionality measures (posdis, bosdis and topsim) for (iatt=2, ival=100) and different channel capacity. ‘-’ indicates no significant correlations.
['( [ITALIC] clen,  [ITALIC] cvoc)', 'measure', '[ITALIC] posdis GRU (500)', '[ITALIC] posdis GRU (50)', '[ITALIC] posdis FFN (500)', '[ITALIC] bosdis GRU (500)', '[ITALIC] bosdis GRU (50)', '[ITALIC] bosdis FFN (500)', '[ITALIC] topsim GRU (500)', '[ITALIC] topsim GRU (50)', '[ITALIC] topsim FFN (500)']
We observe in most cases a significantly positive correlation, that is even higher (1) for larger Receivers and (2) for emergent languages with shorter messages (smaller clen).