Challenge: In graph-based dependency parsers, learning representations is gaining in importance, and we use graph neural networks to learn the representations.
Approach: They propose to use graph neural networks to learn dependency tree nodes and propose to add a new aggregation function to the system.
Outcome: The proposed model achieves the best UAS and LAS on PTB (96.0%, 94.3%) without using external resources.

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Second-Order Neural Dependency Parsing with Message Passing and End-to-End Training (2020.aacl-main)

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Challenge: Existing approaches to dependency parsing use exact and approximate inference to find the best parse tree.
Approach: They propose a second-order graph-based neural dependency parsing approach using message passing and end-to-end neural networks.
Outcome: The proposed methods match the state-of-the-art second-order graph-based neural dependency parsers and have significantly faster speed in training and testing.
Semantic Dependency Parsing with Edge GNNs (2022.findings-emnlp)

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Challenge: Existing semantic dependency parsers use factor graphs to generate a tree structure, but they are ill-suited for a more complex semantic relationship representation.
Approach: They propose a second-order neural CRF parser that uses factor graphs to generate a dependency edge and define neighbors in terms of sibling, co-parent, and grandparent relationships.
Outcome: The proposed model outperforms the first-order biaffine parser on English datasets and shows that it is more efficient than the first order.
An Empirical Investigation of Structured Output Modeling for Graph-based Neural Dependency Parsing (P19-1)

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Challenge: In the past few years, graph-based dependency parsers have led to impressive empirical successes on parsing accuracy.
Approach: They propose to use a graph-based dependency parser to model global outputs.
Outcome: The proposed model has been shown to perform better on sentence-level Complete Match metric compared with the previous model.
End-to-End Graph-Based TAG Parsing with Neural Networks (N18-1)

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Challenge: Using BiLSTMs, highway connections, and character-level CNNs, we propose a graph-based Tree Adjoining Grammar (TAG) parser.
Approach: They propose a graph-based Tree Adjoining Grammar parser that uses BiLSTMs, highway connections, and character-level CNNs.
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Dependency Graph Parsing as Sequence Labeling (2024.emnlp-main)

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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.
Approach: They propose unbounded linearizations that can be used to cast dependency parsing as sequence labeling.
Outcome: The proposed linearizations can cast syntactic dependency parsing as a sequence labeling task.
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 .
Outcome: The proposed approach outperforms baselines under different parsers and dependency standards under different parameters and model architectures.
Neural Reranking for Dependency Parsing: An Evaluation (2020.acl-main)

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Challenge: Recent work shows that neural rerankers can improve dependency parsing results over the top k trees produced by a base parser.
Approach: They propose to use a discriminative reranker to improve dependency parsing results . they propose to incorporate global information into the model to improve parse accuracies .
Outcome: The proposed model outperforms existing models on English and German and Czech, and is the only one to improve on German and Chinese data.
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.
Approach: They propose to formulate parsing as a sequence-to-sequence task using graph-based decoding techniques developed for syntactic parsers.
Outcome: The proposed approach is competitive with sequence decoders on the standard setting and offers significant improvements in data efficiency and data availability.
DynGL-SDP: Dynamic Graph Learning for Semantic Dependency Parsing (2022.coling-1)

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Challenge: Existing parsers that learn graph representations based on static graphs are error-prone and disjointed . Graph-based parser can parse sentences efficiently but suffer from error propagation .
Approach: They propose a dynamic graph learning framework to learn graph representations based on a static graph constructed by an existing parser.
Outcome: The proposed parser outperforms the previous parsers on the SemEval-2015 task 18 dataset in three languages.
Revisiting Higher-Order Dependency Parsers (2020.acl-main)

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Challenge: Neural encoders have allowed dependency parsers to shift from higher-order structured models to simpler first-order ones, making decoding faster and still achieving better accuracy than non-neural parser.
Approach: They found that neural parsers may benefit from higher-order features when employing a powerful pre-trained encoder, such as BERT.
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