Abstract

Head splitting techniques have been successfully exploited to improve the asymptotic runtime of parsing algorithms for projective dependency trees, under the arc-factored model. In this article we extend these techniques to a class of non-projective dependency trees, called well-nested dependency trees with block-degree at most 2, which has been previously investigated in the literature. We define a structural property that allows head splitting for these trees, and present two algorithms that improve over the runtime of existing algorithms at no significant loss in coverage.

Highlights

  • Much of the recent work on dependency parsing has been aimed at finding a good balance between accuracy and efficiency

  • Following Pitler et al (2012), we report in Table 1 figures for the training sets of six languages used in the CoNLL-X shared task on dependency parsing (Buchholz and Marsi, 2006)

  • In this article we have extended head splitting techniques, originally developed for parsing of projective dependency trees, to two subclasses of well-nested dependency trees with block-degree at most 2

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Summary

Introduction

Much of the recent work on dependency parsing has been aimed at finding a good balance between accuracy and efficiency. While non-projective parsing under an arc-factored model can be done in time O.n2/ (McDonald et al, 2005), parsing with more informed models is intractable (McDonald and Satta, 2007) This has led several authors to investigate ‘mildly non-projective’ classes of trees, with the goal of achieving a balance between expressiveness and complexity (Kuhlmann and Nivre, 2006). We show that restricting the class of head-split trees by imposing the already mentioned 1-inherit property does not cause any additional loss in coverage, and that parsing for the combined class is possible in time O.n5/, one order of magnitude faster than the algorithm by Pitler et al (2012) for the 1-inherit class without the head-split condition.

Head Splitting
Preliminaries
Parsing Items
Parsing of Head-Split Trees ah0
Basic Idea
Item Types
Item Normal Form
Items of Type 0
Items of Type U
Items of Type L
Runtime
Parsing of 1-Inherit Head-Split Trees
Empirical Coverage
Quantitative Evaluation
Qualitative Evaluation
Concluding Remarks

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