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I am looking for an exhaustive list of upsides of using dependency parsing over constituency parsing (if possible, with references for each upside).

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First of all, dependency parsing is often faster than constituency parsing.

Two more reasons:

Kübler, Sandra, Ryan McDonald, and Joakim Nivre. "Dependency parsing."Synthesis Lectures on Human Language Technologies 1.1 (2009): 1-127.

One reason for the increasing popularity is the fact that dependency-based syntactic representations seem to be useful in many applications of language technology, such as machine translation and information extraction, thanks to their transparent encoding of predicate-argument structure.

[There is a ] perception that dependency grammar is better suited than phrase structure grammar for languages with free or flexible word order, making it possible to analyze typologically diverse languages within a common framework.

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