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In this paper, we compare three different approaches to build a probabilistic context-free grammar for natural language parsing from a tree bank corpus: (1) a model that simply extracts the rules contained in the corpus and counts the number of occurrences of each rule; (2) a model that also stores information about the parent node's category, and (3) a model that estimates the probabilities according to a generalized k-gram scheme for trees with k = 3. The last model allows for faster parsing and decreases considerably the perplexity of test samples.

Tree k-Grammar Models for Natural Language Modelling and Parsing