Levenshtein Transformer
Not on the map. Why?
Cited by 36 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
Modern neural sequence generation models are built to either generate tokens step-by-step from scratch or (iteratively) modify a sequence of tokens bounded by a fixed length. In this work, we develop Levenshtein Transformer, a new partially autoregressive model devised for more flexible and amenable sequence generation. Unlike previous approaches, the atomic operations of our model are insertion and deletion. The combination of them facilitates not only generation but also sequence refinement allowing dynamic length changes. We also propose a set of new training techniques dedicated at them, effectively exploiting one as the other's learning signal thanks to their complementary nature. Experiments applying the proposed model achieve comparable performance but much-improved efficiency on both generation (e.g. machine translation, text summarization) and refinement tasks (e.g. automatic post-editing). We further confirm the flexibility of our model by showing a Levenshtein Transformer trained by machine translation can straightforwardly be used for automatic post-editing.
Key facts. Cited by 197 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 May 2019.
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Citing papers per year: 2021: 56; 2022: 56; 2023: 35; 2024: 17; 2025: 11; 2026: 22.
197 papers.
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- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
- 2022DiffuSeq: Sequence to Sequence Text Generation with Diffusion Modelscited by 439
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 385
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- 2023Speculative Decoding with Big Little Decodercited by 163
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- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planningcited by 135
- 2021Learning to Efficiently Sample from Diffusion Probabilistic Modelscited by 129
- 2024Randomized Autoregressive Visual Generationcited by 125
- 2023AR-Diffusion: Auto-Regressive Diffusion Model for Text Generationcited by 113
38 more
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- 2022Text Generation with Diffusion Language Models: A Pre-training Approach with Continuous Paragraph Denoisecited by 79
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- 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyondcited by 64
- 2022SeqDiffuSeq: Text Diffusion with Encoder-Decoder Transformerscited by 63
- 2023TESS: Text-to-Text Self-Conditioned Simplex Diffusioncited by 63
- 2021Order-Agnostic Cross Entropy for Non-Autoregressive Machine Translationcited by 57
- 2021Instantaneous Grammatical Error Correction with Shallow Aggressive Decodingcited by 53
- 2025Edit Flows: Flow Matching with Edit Operationscited by 53
- 2023DINOISER: Diffused Conditional Sequence Learning by Manipulating Noisescited by 50
- 2024(Perhaps) Beyond Human Translation: Harnessing Multi-Agent Collaboration for Translating Ultra-Long Literary Textscited by 49
- 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 44
- 2021FastCorrect: Fast Error Correction with Edit Alignment for Automatic Speech Recognitioncited by 43
- 2023Diffusion Models for Non-autoregressive Text Generation: A Surveycited by 43
- 2022Controllable Text Generation with Neurally-Decomposed Oraclecited by 41
- 2022DiffusER: Discrete Diffusion via Edit-based Reconstructioncited by 41
- 2021Non-Autoregressive Translation with Layer-Wise Prediction and Deep Supervisioncited by 40
- 2022On Improving Summarization Factual Consistency from Natural Language Feedbackcited by 38
- 2022EdiT5: Semi-Autoregressive Text-Editing with T5 Warm-Startcited by 35
- 2021Does the Order of Training Samples Matter? Improving Neural Data-to-Text Generation with Curriculum Learningcited by 34
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- 2022TranSpeech: Speech-to-Speech Translation With Bilateral Perturbationcited by 34
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- 2022SynGEC: Syntax-Enhanced Grammatical Error Correction with a Tailored GEC-Oriented Parsercited by 32
- 2022Learning to Model Editing Processescited by 30
- 2023Learning to Reason and Memorize with Self-Notescited by 30
- 2021Text Simplification by Taggingcited by 27
- 2021FastCorrect 2: Fast Error Correction on Multiple Candidates for Automatic Speech Recognitioncited by 27
- 2021A Comparative Study on Non-Autoregressive Modelings for Speech-to-Text Generationcited by 27
- 2022On the Learning of Non-Autoregressive Transformerscited by 27
- 2023Second Thoughts are Best: Learning to Re-Align With Human Values from Text Editscited by 27
- 2023Iterative Translation Refinement with Large Language Modelscited by 27
- 2021Progressive Multi-Granularity Training for Non-Autoregressive Translationcited by 25
- 2023Don't lose the message while paraphrasing: A study on content preserving style transfercited by 25
- 2021Parallel Refinements for Lexically Constrained Text Generation with BARTcited by 24
- 2022Levenshtein OCRcited by 24
- 2021Investigating the Reordering Capability in CTC-based Non-Autoregressive End-to-End Speech Translationcited by 23
50 most cited of 197 All 197 (JSON)
- 2026When Edit Flows are Edit Jumps: replicating Edit Flows and EvoFlows16 Sep 2026
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- 2026MDLMPE: Distribution Aware Positional Encoding for Masked Diffusion Language Models4 Aug 2026
- 2026Reviser: Revision-Capable Text Generation via Autoregressive Cursor Actions23 Jul 2026
- 2026BeatEdit: Symbolic Music Generation as Explicit Editing13 Jul 2026
- 2026Forward-Free Diffusion Language Models with BPTT-Free Looped Refinement6 Jun 2026
- 2026EditSR: Enhancing Neural Symbolic Regression via Edit-based Rectification6 Jun 2026
- 2026Generative Molecular Morphing for Flexible-Size Design via Unbalanced Optimal Transport5 Jun 2026
- 2026Goodbye Drift: Anchored Tree Sampling for Long-Horizon Video-to-Video Generation19 May 2026
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- 2026Edit-Based Refinement for Parallel Masked Diffusion Language Models10 May 2026
- 2026Towards A Generative Protein Evolution Machine with DPLM-Evo30 Apr 2026
38 more
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- 2026KD4MT: A Survey of Knowledge Distillation for Machine Translation22 Jan 2026
- 2026Pay (Cross) Attention to the Melody: Curriculum Masking for Single-Encoder Melodic Harmonization22 Jan 2026
- 2026Diffusion In Diffusion: Reclaiming Global Coherence in Semi-Autoregressive Diffusion20 Jan 2026
- 2026Autoregressive Models Rival Diffusion Models at ANY-ORDER Generation19 Jan 2026
- 2025OneFlow: Concurrent Mixed-Modal and Interleaved Generation with Edit Flows3 Oct 2025
- 2025ToolACE-MT: Non-Autoregressive Generation for Agentic Multi-Turn Interaction18 Aug 2025
- 2025Whisfusion: Parallel ASR Decoding with Masked Diffusion9 Aug 2025
- 2025Sculptor: Empowering LLMs with Cognitive Agency via Active Context Management6 Aug 2025
- 2025Locality-aware Parallel Decoding for Efficient Autoregressive Image Generation2 Jul 2025
- 2025Edit Flows: Flow Matching with Edit Operations10 Jun 2025
- 2025Joint Low-level and High-level Textual Representation Learning with Multiple Masking Strategies11 May 2025
- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertions9 May 2025
- 2025Improving Retrieval-Augmented Neural Machine Translation with Monolingual Data30 Apr 2025
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models12 Mar 2025
- 2025FourierNAT: A Fourier-Mixing-Based Non-Autoregressive Transformer for Parallel Sequence Generation4 Mar 2025
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- 2024Discrete Modeling via Boundary Conditional Diffusion Processes29 Oct 2024
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning18 Oct 2024
- 2024Meta-DiffuB: A Contextualized Sequence-to-Sequence Text Diffusion Model with Meta-Exploration17 Oct 2024
- 2024Beyond Next Token Prediction: Patch-Level Training for Large Language Models17 Jul 2024
- 2024DiffNorm: Self-Supervised Normalization for Non-autoregressive Speech-to-speech Translation22 May 2024
- 2024What Have We Achieved on Non-autoregressive Translation?21 May 2024
- 2024(Perhaps) Beyond Human Translation: Harnessing Multi-Agent Collaboration for Translating Ultra-Long Literary Texts20 May 2024
- 2024Guiding Large Language Models to Post-Edit Machine Translation with Error Annotations11 Apr 2024
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- 2024Non-autoregressive Sequence-to-Sequence Vision-Language Models4 Mar 2024
- 2024Leveraging Diverse Modeling Contexts with Collaborating Learning for Neural Machine Translation28 Feb 2024
- 2024Improving Non-autoregressive Machine Translation with Error Exposure and Consistency Regularization15 Feb 2024
- 2024Translating Images to Road Network: A Sequence-to-Sequence Perspective13 Feb 2024
- 2024Non-autoregressive Generative Models for Reranking Recommendation10 Feb 2024
- 2024UCorrect: An Unsupervised Framework for Automatic Speech Recognition Error Correction11 Jan 2024
50 newest of 197 All 197 (JSON)
- 2022DiffuSeq: Sequence to Sequence Text Generation with Diffusion Modelscited by 439
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 385
- 2022DiffusionBERT: Improving Generative Masked Language Models with Diffusion Modelscited by 214
- 2022Continuous diffusion for categorical datacited by 202
- 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Controlcited by 191
- 2023A Reparameterized Discrete Diffusion Model for Text Generationcited by 152
- 2021Learning to Efficiently Sample from Diffusion Probabilistic Modelscited by 129
- 2023AR-Diffusion: Auto-Regressive Diffusion Model for Text Generationcited by 113
- 2022Text Generation with Diffusion Language Models: A Pre-training Approach with Continuous Paragraph Denoisecited by 79
- 2021Unleashing Transformers: Parallel Token Prediction with Discrete Absorbing Diffusion for Fast High-Resolution Image Generation from Vector-Quantized Codescited by 71
- 2022SeqDiffuSeq: Text Diffusion with Encoder-Decoder Transformerscited by 63
- 2023TESS: Text-to-Text Self-Conditioned Simplex Diffusioncited by 63
12 most cited of 34 All 34 (JSON)
- 2026Reducing Pretraining-Generation Mismatch in Diffusion Language Models10 Aug 2026
- 2026MDLMPE: Distribution Aware Positional Encoding for Masked Diffusion Language Models4 Aug 2026
- 2026Forward-Free Diffusion Language Models with BPTT-Free Looped Refinement6 Jun 2026
- 2026Edit-Based Refinement for Parallel Masked Diffusion Language Models10 May 2026
- 2026Towards A Generative Protein Evolution Machine with DPLM-Evo30 Apr 2026
- 2026Stopping Computation for Converged Tokens in Masked Diffusion-LM Decoding6 Feb 2026
- 2026CORE: Context-Robust Remasking for Diffusion Language Models4 Feb 2026
- 2026DreamOn: Diffusion Language Models For Code Infilling Beyond Fixed-size Canvas1 Feb 2026
- 2026Diffusion In Diffusion: Reclaiming Global Coherence in Semi-Autoregressive Diffusion20 Jan 2026
- 2026Autoregressive Models Rival Diffusion Models at ANY-ORDER Generation19 Jan 2026
- 2025Whisfusion: Parallel ASR Decoding with Masked Diffusion9 Aug 2025
- 2025Edit Flows: Flow Matching with Edit Operations10 Jun 2025
12 newest of 34 All 34 (JSON)
- 2023Speculative Decoding with Big Little Decodercited by 163
- 2021Instantaneous Grammatical Error Correction with Shallow Aggressive Decodingcited by 53
- 2022ELMER: A Non-Autoregressive Pre-trained Language Model for Efficient and Effective Text Generationcited by 10
- 2025Locality-aware Parallel Decoding for Efficient Autoregressive Image Generationcited by 8
- 2021Modeling Coverage for Non-Autoregressive Neural Machine Translationcited by 4
- 2022Helping the Weak Makes You Strong: Simple Multi-Task Learning Improves Non-Autoregressive Translatorscited by 1
- 2026Gumbel Distillation for Parallel Text Generationcited by 1
- 2026Copy-as-Decode: Grammar-Constrained Parallel Prefill for LLM Editingcited by 1
- 2026Copy-as-Decode: Grammar-Constrained Parallel Prefill for LLM Editing20 Apr 2026
- 2026Gumbel Distillation for Parallel Text Generation23 Mar 2026
- 2025Locality-aware Parallel Decoding for Efficient Autoregressive Image Generation2 Jul 2025
- 2023Speculative Decoding with Big Little Decoder15 Feb 2023
- 2022Helping the Weak Makes You Strong: Simple Multi-Task Learning Improves Non-Autoregressive Translators11 Nov 2022
- 2022ELMER: A Non-Autoregressive Pre-trained Language Model for Efficient and Effective Text Generation24 Oct 2022
- 2021Instantaneous Grammatical Error Correction with Shallow Aggressive Decoding9 Jun 2021
- 2021Modeling Coverage for Non-Autoregressive Neural Machine Translation24 Apr 2021
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
- 2024Randomized Autoregressive Visual Generationcited by 125
- 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
- 2022MiniViT: Compressing Vision Transformers with Weight Multiplexingcited by 88
- 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
- 2021FastCorrect: Fast Error Correction with Edit Alignment for Automatic Speech Recognitioncited by 43
- 2022Controllable Text Generation with Neurally-Decomposed Oraclecited by 41
- 2021Non-Autoregressive Translation with Layer-Wise Prediction and Deep Supervisioncited by 40
- 2022EdiT5: Semi-Autoregressive Text-Editing with T5 Warm-Startcited by 35
- 2021Does the Order of Training Samples Matter? Improving Neural Data-to-Text Generation with Curriculum Learningcited by 34
- 2021Rejuvenating Low-Frequency Words: Making the Most of Parallel Data in Non-Autoregressive Translationcited by 34
12 most cited of 145 All 145 (JSON)
- 2026When Edit Flows are Edit Jumps: replicating Edit Flows and EvoFlows16 Sep 2026
- 2026Reviser: Revision-Capable Text Generation via Autoregressive Cursor Actions23 Jul 2026
- 2026BeatEdit: Symbolic Music Generation as Explicit Editing13 Jul 2026
- 2026EditSR: Enhancing Neural Symbolic Regression via Edit-based Rectification6 Jun 2026
- 2026Generative Molecular Morphing for Flexible-Size Design via Unbalanced Optimal Transport5 Jun 2026
- 2026Goodbye Drift: Anchored Tree Sampling for Long-Horizon Video-to-Video Generation19 May 2026
- 2026When Latent Geometry Is Not Enough: Draft-Conditioned Latent Refinement for Non-Autoregressive Text Generation15 May 2026
- 2026Tiny Autoregressive Recursive Models9 Mar 2026
- 2026KD4MT: A Survey of Knowledge Distillation for Machine Translation22 Jan 2026
- 2026Pay (Cross) Attention to the Melody: Curriculum Masking for Single-Encoder Melodic Harmonization22 Jan 2026
- 2025OneFlow: Concurrent Mixed-Modal and Interleaved Generation with Edit Flows3 Oct 2025
- 2025Sculptor: Empowering LLMs with Cognitive Agency via Active Context Management6 Aug 2025
12 newest of 145 All 145 (JSON)