Challenge: a string of recent work has attempted to delve into the formal properties of neural network topology choices.
Approach: They propose to use recurrent models to perform projective maximum spanning tree decoding . they also prove the lower bounds of projective maximal spanning trees .
Outcome: The proposed model can perform better than Eisner's model, proving it impossible to predict a projective MST.

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Challenge: Recent studies of the representational capacity of neural LMs have focused on their ability to recognize formal languages.
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Challenge: Existing work on finding the one-best dependency tree has not extended this to finding the K-best tree.
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What’s Going On in Neural Constituency Parsers? An Analysis (N18-1)

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Challenge: a number of differences have emerged between classical and modern constituency parsing approaches . structural components like grammars and feature-rich lexicons are becoming less central . recurrent neural networks have gained traction as a powerful and general purpose tool for representation .
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Fast and Accurate Non-Projective Dependency Tree Linearization (2020.acl-main)

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Challenge: Existing methods for decoding dependency trees are 10 times faster than current ones.
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Overestimation of Syntactic Representation in Neural Language Models (2020.acl-main)

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Challenge: Several testing methodologies have been developed to probe models’ syntactic representations.
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Challenge: Incremental NLP aims to learn and adapt partial representations as information unfolds, but studies on incremental approaches have focused on non-incremental approaches.
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Headed-Span-Based Projective Dependency Parsing (2022.acl-long)

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Challenge: Existing methods for dependency parsing based on headed spans are available.
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Straight to the Tree: Constituency Parsing with Neural Syntactic Distance (P18-1)

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Challenge: Compared to traditional shift-reduce parsing schemes, our approach is free from the potentially disastrous compounding error.
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The Limitations of Limited Context for Constituency Parsing (2021.acl-long)

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Challenge: a language model that is syntax-aware can produce better samples, authors say . a recent study shows that neural approaches to syntax can perform unsupervised syntactic parsing .
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Challenge: Neural machine translation (NMT) models are based on sequential decoding or serialisation of structured data into sequence.
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