Challenge: Non-autoregressive (NAR) models have been mainly developed to improve decoding efficiency.
Approach: They propose a search-based decoding algorithm which is comparable to the autoregressive Grid Beam Search (GBS) method.
Outcome: The proposed method does not suffer from the MAP degradation issue as the autoregressive method does.

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An Empirical Study of Iterative Refinements for Non-autoregressive Translation (2025.acl-long)

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Challenge: Iterative non-autoregressive (NAR) models have recently demonstrated impressive performance in varied generation tasks, surpassing the autoregressive Transformer.
Approach: They propose a strategy to conduct efficient refinements without performance declines by using two simple metrics to identify potential problems existing in current refinement processes.
Outcome: The proposed model outperforms the autoregressive Transformer by around one BLEU on average.
Control-DAG: Constrained Decoding for Non-Autoregressive Directed Acyclic T5 using Weighted Finite State Automata (2024.naacl-short)

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Challenge: Existing non-autoregressive (NAR) models fail to generate specified entity names in up to 40% of responses and produce OOV errors.
Approach: They propose a constrained decoding algorithm for Directed Acyclic T5 model which offers lexical, vocabulary and length control.
Outcome: The proposed model significantly improves on Schema Guided Dialogue and DART datasets, establishing strong results for Task-Oriented Dialog and Data-to-Text NLG.
Fast Lexically Constrained Decoding with Dynamic Beam Allocation for Neural Machine Translation (N18-1)

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Challenge: Existing approaches to neural machine translation have computational complexities that are either linear or exponential in the number of constraints.
Approach: They propose an algorithm for lexically constrained decoding with a complexity of O(1) in the number of constraints.
Outcome: The proposed algorithm can place constraints and improve results in simulated post-editing tasks.
Neighbors Are Not Strangers: Improving Non-Autoregressive Translation under Low-Frequency Lexical Constraints (2022.naacl-main)

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Challenge: Existing approaches to lexically constrained neural machine translation suffer from high latency.
Approach: They propose a plug-in algorithm for non-autoregressive translation for this problem . they propose ACT to familiarize the model with the source-side context of constraints .
Outcome: The proposed model improves over the backbone constrained NAT model in constraint preservation and translation quality, especially for rare constraints.
Improving Non-autoregressive Neural Machine Translation with Monolingual Data (2020.acl-main)

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Challenge: Neural machine translation is usually done via knowledge distillation from an autoregressive (AR) model.
Approach: They leverage large monolingual corpora to improve the NAR model's performance by transferring the autoregressive model' s generalization ability while preventing overfitting.
Outcome: The proposed methods on the WMT14 En-De and WMT16 En-Ro news translation tasks show that monolingual data augmentation improves the NAR model to approach the teacher AR model’s performance.
Non-Autoregressive Text Generation with Pre-trained Language Models (2021.eacl-main)

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Challenge: Autoregressive generation models generate tokens in a left-to-right, token-by-token fashion, resulting in lag in inference.
Approach: They propose to use BERT as the backbone of a non-autoregressive generation model for greatly improved performance.
Outcome: The proposed model outperforms existing non-autoregressive models and achieves competitive performance with many strong autoregressive model.
Improved Lexically Constrained Decoding for Translation and Monolingual Rewriting (N19-1)

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Challenge: Lexically-constrained sequence decoding allows for explicit positive or negative phrase-based constraints to be placed on target output strings in machine translation or monolingual text rewriting tasks.
Approach: They propose a vectorized dynamic beam allocation algorithm which extends work in lexically-constrained decoding to work with batching.
Outcome: The proposed method improves on natural language inference, question answering and machine translation tasks by fivefold .
Exploring Non-Autoregressive Text Style Transfer (2021.emnlp-main)

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Challenge: Existing methods for text style transfer use autoregressive decoding, but they are slow and low parallelizability.
Approach: They propose a base NAR model by directly adapting the common training scheme from its AutoRegressive counterpart.
Outcome: The proposed model sacrifices performance due to lack of conditional dependence between output tokens . knowledge distillation, contrastive learning, and iterative decoding are employed to improve the model .
Non-Autoregressive Machine Translation: It’s Not as Fast as it Seems (2022.naacl-main)

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Challenge: Efficient machine translation models are commercially important as they can increase inference speeds, reduce costs and carbon emissions.
Approach: They compare NAR models with autoregressive models to evaluate their performance . they point out flaws in evaluation methodology and argue for consistent evaluation .
Outcome: The proposed model is faster on GPUs, but slower under more realistic usage conditions.
Helping the Weak Makes You Strong: Simple Multi-Task Learning Improves Non-Autoregressive Translators (2022.emnlp-main)

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Challenge: Non-autoregressive (NAR) neural machine translation models require a conditional independence assumption on target sequences, resulting in less informative learning signals.
Approach: They propose a model-agnostic multi-task learning framework to provide more informative learning signals for NAR models under conventional MLE training.
Outcome: The proposed framework improves accuracy of multiple NAR baselines without additional decoding overhead.

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