An EM Approach to Non-autoregressive Conditional Sequence Generation
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Abstract (arXiv)
Autoregressive (AR) models have been the dominating approach to conditional sequence generation, but are suffering from the issue of high inference latency. Non-autoregressive (NAR) models have been recently proposed to reduce the latency by generating all output tokens in parallel but could only achieve inferior accuracy compared to their autoregressive counterparts, primarily due to a difficulty in dealing with the multi-modality in sequence generation. This paper proposes a new approach that jointly optimizes both AR and NAR models in a unified Expectation-Maximization (EM) framework. In the E-step, an AR model learns to approximate the regularized posterior of the NAR model. In the M-step, the NAR model is updated on the new posterior and selects the training examples for the next AR model. This iterative process can effectively guide the system to remove the multi-modality in the output sequences. To our knowledge, this is the first EM approach to NAR sequence generation. We evaluate our method on the task of machine translation. Experimental results on benchmark data sets show that the proposed approach achieves competitive, if not better, performance with existing NAR models and significantly reduces the inference latency.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 Jun 2020.
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Citing papers per year: 2021: 5; 2022: 11; 2023: 2; 2024: 1; 2025: 1; 2026: 1.
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- 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyondcited by 64
- 2021Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translationcited by 57
- 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 44
- 2022On the Learning of Non-Autoregressive Transformerscited by 27
- 2021AligNART: Non-autoregressive Neural Machine Translation by Jointly Learning to Estimate Alignment and Translatecited by 24
- 2022textitlatent-GLAT: Glancing at Latent Variables for Parallel Text Generationcited by 20
- 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translationcited by 20
- 2021Sequence-Level Training for Non-Autoregressive Neural Machine Translationcited by 18
- 2021VigDet: Knowledge Informed Neural Temporal Point Process for Coordination Detection on Social Mediacited by 14
- 2022Viterbi Decoding of Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 13
- 2021Non-autoregressive End-to-end Speech Translation with Parallel Autoregressive Rescoringcited by 9
- 2025Direct Retrieval-augmented Optimization: Synergizing Knowledge Selection and Language Modelscited by 9
9 more
- 2022ngram-OAXE: Phrase-Based Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translationcited by 8
- 2022Multi-Granularity Optimization for Non-Autoregressive Translationcited by 6
- 2022Non-Autoregressive Neural Machine Translation: A Call for Claritycited by 5
- 2022Rephrasing the Reference for Non-Autoregressive Machine Translationcited by 3
- 2023Selective Knowledge Distillation for Non-Autoregressive Neural Machine Translationcited by 2
- 2023Optimizing Non-Autoregressive Transformers with Contrastive Learningcited by 1
- 2024A Monte Carlo Framework for Calibrated Uncertainty Estimation in Sequence Predictioncited by 1
- 2022DiMS: Distilling Multiple Steps of Iterative Non-Autoregressive Transformers for Machine Translationcited by 0
- 2026FlashTrie: A GPU-Accelerated Constrained Beam Search for Generative Retrievalcited by 0
- 2026FlashTrie: A GPU-Accelerated Constrained Beam Search for Generative Retrieval10 Jul 2026
- 2025Direct Retrieval-augmented Optimization: Synergizing Knowledge Selection and Language Models5 May 2025
- 2024A Monte Carlo Framework for Calibrated Uncertainty Estimation in Sequence Prediction30 Oct 2024
- 2023Optimizing Non-Autoregressive Transformers with Contrastive Learning23 May 2023
- 2023Selective Knowledge Distillation for Non-Autoregressive Neural Machine Translation31 Mar 2023
- 2022Rephrasing the Reference for Non-Autoregressive Machine Translation30 Nov 2022
- 2022Multi-Granularity Optimization for Non-Autoregressive Translation20 Oct 2022
- 2022Viterbi Decoding of Directed Acyclic Transformer for Non-Autoregressive Machine Translation11 Oct 2022
- 2022ngram-OAXE: Phrase-Based Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translation8 Oct 2022
- 2022On the Learning of Non-Autoregressive Transformers13 Jun 2022
- 2022DiMS: Distilling Multiple Steps of Iterative Non-Autoregressive Transformers for Machine Translation7 Jun 2022
- 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translation28 May 2022
9 more
- 2022Non-Autoregressive Neural Machine Translation: A Call for Clarity21 May 2022
- 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translation16 May 2022
- 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyond20 Apr 2022
- 2022textitlatent-GLAT: Glancing at Latent Variables for Parallel Text Generation5 Apr 2022
- 2021VigDet: Knowledge Informed Neural Temporal Point Process for Coordination Detection on Social Media28 Oct 2021
- 2021AligNART: Non-autoregressive Neural Machine Translation by Jointly Learning to Estimate Alignment and Translate14 Sep 2021
- 2021Non-autoregressive End-to-end Speech Translation with Parallel Autoregressive Rescoring9 Sep 2021
- 2021Sequence-Level Training for Non-Autoregressive Neural Machine Translation15 Jun 2021
- 2021Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translation9 Jun 2021
- 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyondcited by 64
- 2021Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translationcited by 57
- 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 44
- 2022On the Learning of Non-Autoregressive Transformerscited by 27
- 2021AligNART: Non-autoregressive Neural Machine Translation by Jointly Learning to Estimate Alignment and Translatecited by 24
- 2022textitlatent-GLAT: Glancing at Latent Variables for Parallel Text Generationcited by 20
- 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translationcited by 20
- 2021Sequence-Level Training for Non-Autoregressive Neural Machine Translationcited by 18
- 2021VigDet: Knowledge Informed Neural Temporal Point Process for Coordination Detection on Social Mediacited by 14
- 2022Viterbi Decoding of Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 13
- 2021Non-autoregressive End-to-end Speech Translation with Parallel Autoregressive Rescoringcited by 9
- 2022ngram-OAXE: Phrase-Based Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translationcited by 8
12 most cited of 20 All 20 (JSON)
- 2026FlashTrie: A GPU-Accelerated Constrained Beam Search for Generative Retrieval10 Jul 2026
- 2024A Monte Carlo Framework for Calibrated Uncertainty Estimation in Sequence Prediction30 Oct 2024
- 2023Optimizing Non-Autoregressive Transformers with Contrastive Learning23 May 2023
- 2023Selective Knowledge Distillation for Non-Autoregressive Neural Machine Translation31 Mar 2023
- 2022Rephrasing the Reference for Non-Autoregressive Machine Translation30 Nov 2022
- 2022Multi-Granularity Optimization for Non-Autoregressive Translation20 Oct 2022
- 2022Viterbi Decoding of Directed Acyclic Transformer for Non-Autoregressive Machine Translation11 Oct 2022
- 2022ngram-OAXE: Phrase-Based Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translation8 Oct 2022
- 2022On the Learning of Non-Autoregressive Transformers13 Jun 2022
- 2022DiMS: Distilling Multiple Steps of Iterative Non-Autoregressive Transformers for Machine Translation7 Jun 2022
- 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translation28 May 2022
- 2022Non-Autoregressive Neural Machine Translation: A Call for Clarity21 May 2022
12 newest of 20 All 20 (JSON)