Challenge: Existing models with stacked layers do not explicitly model hierarchical structure of language understanding.
Approach: They propose a recursive Transformer model based on differentiable CKY style binary trees to emulate hierarchical composition process.
Outcome: The proposed model can predict words given their left and right abstraction nodes.

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Fast-R2D2: A Pretrained Recursive Neural Network based on Pruned CKY for Grammar Induction and Text Representation (2022.emnlp-main)

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Challenge: Chart-based models have shown great potential in unsupervised grammar induction, running recursively and hierarchically, but requiring O(n3) time-complexity.
Approach: They propose a model-guided pruning method that scales to large language model pretraining by introducing a heuristic pruning method.
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From Characters to Words: Hierarchical Pre-trained Language Model for Open-vocabulary Language Understanding (2023.acl-long)

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Challenge: Current models for natural language understanding require a preprocessing step to convert raw text into discrete tokens.
Approach: They propose a hierarchical open-vocabulary language model that adopts a shallow Transformer architecture to learn word representations from their characters and a deep inter-word Transformer module that contextualizes each word representation by attending to the entire word sequence.
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Transformer Grammars: Augmenting Transformer Language Models with Syntactic Inductive Biases at Scale (2022.tacl-1)

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Challenge: a novel class of Transformer language models that combine expressive power, scalability, and strong performance of Transformers and recursive syntactic compositions.
Approach: They introduce Transformer Grammars, a class of Transformer language models that combine expressive power and recursive syntactic compositions.
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Hierarchical Transformers Are More Efficient Language Models (2022.findings-naacl)

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Challenge: Transformers are impressive but inefficient and costly, which limits their applications and accessibility.
Approach: They first use different ways to downsample and upsamplify activations in Transformers to make them hierarchical.
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Theoretical Analysis of Hierarchical Language Recognition and Generation by Transformers without Positional Encoding (2025.acl-long)

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Challenge: Existing studies show that Transformers can recognize hierarchical structures without a specific positional encoding.
Approach: They show that Transformers can generate hierarchical languages without a positional encoding . they also suggest that explicit positional encoders might have a detrimental effect on generalization .
Outcome: The proposed model can generate hierarchical languages with respect to model size without encoding .
Pushdown Layers: Encoding Recursive Structure in Transformer Language Models (2023.emnlp-main)

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Challenge: Pushdown Layers model recursive state via stack tape that tracks estimated depths of tokens in incremental parsing . pushdown layers are drop-in replacement for standard self-attention . recursion is a key component of many aspects of intelligent behavior, authors say .
Approach: They propose a self-attention layer that models recursive state via a stack tape . Pushdown Layers is a drop-in replacement for standard self- attention .
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Hierarchical Transformer for Task Oriented Dialog Systems (2021.naacl-main)

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Challenge: Existing models for dialog generation are challenging to train using the standard Seq2Seq models.
Approach: They propose a framework for Hierarchical Transformer Encoders that can be morphed into any hierarchical transformer by using specially designed attention masks and positional encodings.
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Grokking of Hierarchical Structure in Vanilla Transformers (2023.acl-short)

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Challenge: a recent study has shown that neural sequence models like transformers can generalize hierarchically when training for extended periods.
Approach: They show that transformers can learn to generalize hierarchically after long training periods . they call this phenomenon structural grokking, which exhibits inverted U-shaped scaling in model depth .
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Retrofitting Structure-aware Transformer Language Model for End Tasks (2020.emnlp-main)

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Challenge: Experimental results show that structure-aware Transformer language model achieves improved perplexity, meanwhile inducing accurate syntactic phrases.
Approach: They propose to exploit syntactic distance to encode phrasal constituency and dependency connection into Transformer language model and leverage it for structure integration.
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Learning Syntax Without Planting Trees: Understanding Hierarchical Generalization in Transformers (2025.tacl-1)

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Challenge: Inductive biases in transformers can cause hierarchical generalization without explicitly encoding structural bias.
Approach: They investigate sources of inductive bias in transformer models and their training that could cause such preference for hierarchical generalization.
Outcome: The proposed model can generalize to novel syntactic forms without explicit bias . the proposed model is able to generalize on a dataset with a hierarchical grammar .

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