Challenge: a recent study shows that context-free grammars are not natural for modeling discontinuous language phenomena such as extrapositions and cross-serial dependencies.
Approach: They propose a grammar induction approach with mildly context-sensitive grammars for unsupervised discontinuous parsing.
Outcome: Experiments on German and Dutch show that the proposed grammar induction method is beneficial for unsupervised parsing.

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Improving the Extraction of Supertags for Constituency Parsing with Linear Context-Free Rewriting Systems (2022.findings-emnlp)

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Challenge: a new approach to parsing discontinuous constituency structures uses supertags to improve parsability . traditional approaches use grammar formalisms to model hierarchies of noncontiguous phrases . but supertags are still useful for analyzing these grammars and parsers .
Approach: They propose to reformulate and parameterize extraction process for LCFRS supertags to improve parsing quality.
Outcome: The proposed method improves the quality and speed of parsing with supertags over the previous method.
Supertagging-based Parsing with Linear Context-free Rewriting Systems (2021.naacl-main)

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Challenge: a new supertagging-based parser for linear context-free rewriting systems is developed for discontinuous constituents . discontinuous constituencies span non-contiguous sets of positions in a sentence, and can be modelled by CFG .
Approach: They propose a supertagging-based parser for linear context-free rewriting systems . they propose an efficient procedure which induces a lexical LCFRS from any discontinuous treebank .
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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 .
Approach: They propose to incorporate syntax into neural approaches in NLP to produce better samples . they find that the first time neural approaches were able to perform unsupervised syntactic parsing .
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PCFGs Can Do Better: Inducing Probabilistic Context-Free Grammars with Many Symbols (2021.naacl-main)

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Challenge: Recent work shows that probabilistic context-free grammars with neural parameterization can be effective in unsupervised constituency parsing.
Approach: They propose a parameterization form of PCFGs based on tensor decomposition which has at most quadratic computational complexity in the symbol number.
Outcome: The proposed model improves unsupervised constituency parsing performance across ten languages.
Rule Augmented Unsupervised Constituency Parsing (2021.findings-acl)

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Challenge: Recent studies have shown that unsupervised parsing methods do not learn meaningful semantics (not even simple grammar)
Approach: They propose an approach that utilizes very generic linguistic knowledge of the language present in the form of syntactic grammar rules and is independent of the base system.
Outcome: The proposed model is independent of the base system and takes advantage of syntactic grammar rules.
Generic refinement of expressive grammar formalisms with an application to discontinuous constituent parsing (C18-1)

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Challenge: a split/merge algorithm for interpreted regular tree grammars is a generalization of Petrov et al. (2006) .
Approach: They propose to use a split/merge algorithm for interpreted regular tree grammars to refine a large class of grammar formalisms.
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Compound Probabilistic Context-Free Grammars for Grammar Induction (P19-1)

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Challenge: Existing approaches to grammar induction have resorted to manually-engineered features and auxiliary objectives to induce the desired structures.
Approach: They propose a formalization of the grammar induction problem that models sentences as being generated by a compound probabilistic context free grammar.
Outcome: Experiments on English and Chinese show that the proposed approach is more efficient than other methods.
On Eliciting Syntax from Language Models via Hashing (2024.emnlp-main)

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Challenge: Unsupervised parsing aims to infer syntactic structure from raw text . despite its importance, advancements in this task have been slow .
Approach: They propose to use unsupervised parsing to infer syntactic structure from raw text . they upgrade the bit-level CKY to first-order to encode lexicon and syntax .
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Discontinuous Combinatory Constituency Parsing (2023.tacl-1)

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Challenge: Discontinuous parsing is more challenging than continuous parsers because children can group with syntactic cousins in the sentence rather than its two adjacent neighbors.
Approach: They extend a pair of combinator-based constituency parsers into a discontinuous pair . they use a swap action and biaffine attention to iteratively compose constituent vectors from word embeddings without any grammar constraints.
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Unsupervised Recurrent Neural Network Grammars (N19-1)

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Challenge: RNNGs model syntax and structure by incrementally generating a syntax tree and sentence in a top-down, left-to-right order.
Approach: They explore unsupervised learning of recurrent neural network grammars for language modeling and grammar induction.
Outcome: The proposed model outperforms standard sequential language models and improves parsing performance.

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