Challenge: supervised dependency parsers can reach a very high accuracy, but they require treebanks for training.
Approach: They propose a second-order extension of unsupervised neural dependency models that incorporate grandparent-child or sibling information.
Outcome: The proposed model achieves 10% improvement over the previous state-of-the-art model on the full WSJ dataset.

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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.
Second-Order Semantic Dependency Parsing with End-to-End Neural Networks (P19-1)

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Challenge: Existing approaches to semantic dependency parsing are graph-based and transition-based.
Approach: They propose a second-order semantic dependency parser which takes relationships between two or more edges into account.
Outcome: The proposed algorithm outperforms existing approaches to parsing on graph-based approaches.
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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Efficient Second-Order TreeCRF for Neural Dependency Parsing (2020.acl-main)

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Challenge: In the deep learning (DL) era, dependency parsing models are extremely simplified with little hurt on performance thanks to the remarkable capability of multi-layer BiLSTMs in context representation.
Approach: They propose to extend the biaffine parser to a second-order TreeCRF extension to reduce the complexity of the inside-outside algorithm.
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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.
Enhancing Unsupervised Generative Dependency Parser with Contextual Information (P19-1)

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Challenge: Existing approaches to unsupervised dependency parsing are based on probabilistic generative models that learn the joint distribution of the given sentence and its parse.
Approach: They propose a probabilistic model that generates a sentence and its parse from a latent representation, which encodes global contextual information of the generated sentence.
Outcome: The proposed model achieves competitive accuracy compared with state-of-the-art models.
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.
Approach: They propose to use graph neural networks to learn dependency tree nodes and propose to add a new aggregation function to the system.
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A Survey of Unsupervised Dependency Parsing (2020.coling-main)

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Challenge: Syntactic dependency parsing is an important task in natural language processing . unsupervised learning of dependency parses requires training sentences to be manually annotated with their correct parse trees.
Approach: They propose to survey existing approaches to unsupervised dependency parsing . they identify two major classes of approaches and discuss recent trends .
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The Return of Lexical Dependencies: Neural Lexicalized PCFGs (2020.tacl-1)

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Challenge: Existing approaches to grammar induction focus on discovering constituents or dependencies.
Approach: They propose to model lexical dependencies using context free grammars instead of lexicals . they show that this unified framework induces both constituents and dependencies .
Outcome: The proposed model overcomes sparsity problems and induces constituents and dependencies better than the current methods.
Neural Bi-Lexicalized PCFG Induction (2021.acl-long)

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Challenge: Neural lexicalized PCFGs make strong independence assumption on the generation of the child word and thus bilexical dependencies are ignored.
Approach: They propose an approach to parameterize L-PCFGs without making implausible independence assumptions.
Outcome: The proposed approach improves both running speed and unsupervised parsing performance on the English WSJ dataset.

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