Challenge: Existing graph-based dependency parsers use a standard two-pipeline approach that only scores arcs and labels .
Approach: They propose a graph-based dependency parsing architecture that explicitly constructs vectors from which both arcs and labels are scored.
Outcome: The proposed model outperforms state-of-the-art models on PTB and UD in accuracy and efficiency.

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

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Challenge: In graph-based dependency parsers, learning representations is gaining in importance, and we use graph neural networks to learn the representations.
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Graph-to-Graph Transformer for Transition-based Dependency Parsing (2020.findings-emnlp)

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Challenge: Existing models for conditioning on graphs and predicting graphs are weak, but they are effective for transition-based dependency parsing.
Approach: They propose a Transformer architecture for conditioning on and predicting arbitrary graphs.
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Combining (Second-Order) Graph-Based and Headed-Span-Based Projective Dependency Parsing (2022.findings-acl)

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Challenge: Existing graph-based methods that score dependency trees do not score dependency arcs at all.
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Enhancing Structure-aware Encoder with Extremely Limited Data for Graph-based Dependency Parsing (2022.coling-1)

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Challenge: Dependency parsing is an important natural language processing task which analyzes the syntactic structure of an input sentence.
Approach: They propose a structure-aware encoder pre-trained on auto-parsed data to improve dependency parsing . they propose combining gold dependency trees with existing parsers to improve parser performance .
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Higher-Order Dependency Parsing for Arc-Polynomial Score Functions via Gradient-Based Methods and Genetic Algorithm (2022.aacl-main)

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Challenge: Existing methods for higher-order dependency parsing are based on arc-polynomials . a score function is linear in arc variables, while for second-order models it is linear .
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Recursive Non-Autoregressive Graph-to-Graph Transformer for Dependency Parsing with Iterative Refinement (2021.tacl-1)

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Challenge: RNGTr is a non-recursive Graph-to-Graph Transformer for iterative refinement of graphs . it can improve the accuracy of initial parsers on 13 languages .
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Hierarchical Bracketing Encodings Work for Dependency Graphs (2025.emnlp-main)

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Challenge: Sequence labeling (SL) is a simple yet effective paradigm for a wide range of natural language problems.
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Scene Graph Parsing as Dependency Parsing (N18-1)

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Challenge: Recent studies have focused on parsing structured knowledge graphs from textual descriptions.
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Graph-Based Decoding for Task Oriented Semantic Parsing (2021.findings-emnlp)

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Challenge: Existing paradigms for semantic parsing are sequence-to-sequence and AMR parsers.
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