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Table 4

DP-TSG notation. For consistency, we largely follow the notation of Liang, Jordan, and Klein (2010).

αc DP concentration parameter for each non-terminal type cV 
P0(e|cCFG base distribution 
x Set of all non-terminal nodes in the treebank 
 Set of sampling sites (one for each xx
S A block of sampling sites, where S 
 Binary variables to be sampled (bs = 1 for frontier nodes) 
z Latent state of the segmented treebank 
m Number of sites sS s.t. bs = 1 
n = {nc,eSufficient statistics of z 
ΔnS:m Change in counts by setting m sites in S 
αc DP concentration parameter for each non-terminal type cV 
P0(e|cCFG base distribution 
x Set of all non-terminal nodes in the treebank 
 Set of sampling sites (one for each xx
S A block of sampling sites, where S 
 Binary variables to be sampled (bs = 1 for frontier nodes) 
z Latent state of the segmented treebank 
m Number of sites sS s.t. bs = 1 
n = {nc,eSufficient statistics of z 
ΔnS:m Change in counts by setting m sites in S 
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