Challenge: Existing work on graph-structured annotation conversions has focused on feature-based models which are not easily applicable to new conversions.
Approach: They propose two graph-to-graph conversion approaches which use pseudo data and inherit parameters to guide conversions respectively.
Outcome: The proposed approaches outperform strong baselines with higher conversion score on a graph-structured dataset and other datasets.

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Challenge: Various linearizations have been proposed to cast syntactic dependency parsing as sequence labeling, but they cannot handle reentrancy or cycles.
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Graph-to-Tree Neural Networks for Learning Structured Input-Output Translation with Applications to Semantic Parsing and Math Word Problem (2020.findings-emnlp)

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Graph-based Dependency Parsing with Graph Neural Networks (P19-1)

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