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        <title>Parsing to Noncrossing Dependency Graphs</title>
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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 \ensuremath\geq 2.</abstract>
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%0 Journal Article
%T Parsing to Noncrossing Dependency Graphs
%A Kuhlmann, Marco
%A Jonsson, Peter
%J Transactions of the Association for Computational Linguistics
%D 2015
%V 3
%I MIT Press
%C Cambridge, MA
%F kuhlmann-jonsson-2015-parsing
%X 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 \ensuremath\geq 2.
%R 10.1162/tacl_a_00158
%U https://aclanthology.org/Q15-1040/
%U https://doi.org/10.1162/tacl_a_00158
%P 559-570

Markdown (Informal)

[Parsing to Noncrossing Dependency Graphs](https://aclanthology.org/Q15-1040/) (Kuhlmann & Jonsson, TACL 2015)

• Parsing to Noncrossing Dependency Graphs (Kuhlmann & Jonsson, TACL 2015)

ACL

• Marco Kuhlmann and Peter Jonsson. 2015. Parsing to Noncrossing Dependency Graphs. Transactions of the Association for Computational Linguistics, 3:559–570.