Parsing to Noncrossing Dependency Graphs

Marco Kuhlmann, Peter Jonsson

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Abstract
We study the generalization of maximum spanning tree dependency parsing to maximum acyclic subgraphs. Because the underlying optimization problem is intractable even under an arc-factored model, we consider the restriction to noncrossing dependency graphs. Our main contribution is a cubic-time exact inference algorithm for this class. We extend this algorithm into a practical parser and evaluate its performance on four linguistic data sets used in semantic dependency parsing. We also explore a generalization of our parsing framework to dependency graphs with pagenumber at most k and show that the resulting optimization problem is NP-hard for k ≥ 2.
Anthology ID:
Q15-1040
Volume:
Transactions of the Association for Computational Linguistics, Volume 3
Month:
Year:
2015
Address:
Cambridge, MA
Editors:
Michael Collins, Lillian Lee
Venue:
TACL
SIG:
Publisher:
MIT Press
Note:
Pages:
559–570
Language:
URL:
https://aclanthology.org/Q15-1040
DOI:
10.1162/tacl_a_00158
Bibkey:
Cite (ACL):
Marco Kuhlmann and Peter Jonsson. 2015. Parsing to Noncrossing Dependency Graphs. Transactions of the Association for Computational Linguistics, 3:559–570.
Cite (Informal):
Parsing to Noncrossing Dependency Graphs (Kuhlmann & Jonsson, TACL 2015)
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PDF:
https://preview.aclanthology.org/teach-a-man-to-fish/Q15-1040.pdf