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Fast Decoding in Sequence Models using Discrete Latent Variables

arXiv 1803.03382 ↗First posted 9 Mar 2018cs.LGcited by 103

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Abstract (arXiv)

Autoregressive sequence models based on deep neural networks, such as RNNs, Wavenet and the Transformer attain state-of-the-art results on many tasks. However, they are difficult to parallelize and are thus slow at processing long sequences. RNNs lack parallelism both during training and decoding, while architectures like WaveNet and Transformer are much more parallelizable during training, yet still operate sequentially during decoding. Inspired by [arxiv:1711.00937], we present a method to extend sequence models using discrete latent variables that makes decoding much more parallelizable. We first auto-encode the target sequence into a shorter sequence of discrete latent variables, which at inference time is generated autoregressively, and finally decode the output sequence from this shorter latent sequence in parallel. To this end, we introduce a novel method for constructing a sequence of discrete latent variables and compare it with previously introduced methods. Finally, we evaluate our model end-to-end on the task of neural machine translation, where it is an order of magnitude faster at decoding than comparable autoregressive models. While lower in BLEU than purely autoregressive models, our model achieves higher scores than previously proposed non-autoregressive translation models.

Key facts. Cited by 103 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Mar 2018.

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Citing papers per year: 2021: 17; 2022: 31; 2023: 19; 2024: 18; 2025: 8; 2026: 10.

103 papers.

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  1. 2022Diffusion-LM Improves Controllable Text Generationcited by 1,006
  2. 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
  3. 2022Continuous diffusion for categorical datacited by 202
  4. 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Controlcited by 191
  5. 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
  6. 2024ImageFolder: Autoregressive Image Generation with Folded Tokenscited by 93
  7. 2023Straightening Out the Straight-Through Estimator: Overcoming Optimization Challenges in Vector Quantized Networkscited by 80
  8. 2022SQ-VAE: Variational Bayes on Discrete Representation with Self-annealed Stochastic Quantizationcited by 68
  9. 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyondcited by 64
  10. 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 44
  11. 2023Disentanglement via Latent Quantizationcited by 40
  12. 2022Choreographer: Learning and Adapting Skills in Imaginationcited by 31
38 more
  1. 2022On the Learning of Non-Autoregressive Transformerscited by 27
  2. 2023HQ-VAE: Hierarchical Discrete Representation Learning with Variational Bayescited by 27
  3. 2023Transformer-VQ: Linear-Time Transformers via Vector Quantizationcited by 26
  4. 2021Non-Autoregressive Translation by Learning Target Categorical Codescited by 25
  5. 2021Factorising Meaning and Form for Intent-Preserving Paraphrasingcited by 22
  6. 2022textitlatent-GLAT: Glancing at Latent Variables for Parallel Text Generationcited by 20
  7. 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translationcited by 20
  8. 2024Falcon: Faster and Parallel Inference of Large Language Models through Enhanced Semi-Autoregressive Drafting and Custom-Designed Decoding Treecited by 20
  9. 2021Sequence-Level Training for Non-Autoregressive Neural Machine Translationcited by 18
  10. 2022Dynamic Spatio-Temporal Specialization Learning for Fine-Grained Action Recognitioncited by 17
  11. 2024A Data-Driven Representation for Sign Language Productioncited by 17
  12. 2022Non-Monotonic Latent Alignments for CTC-Based Non-Autoregressive Machine Translationcited by 16
  13. 2023Learning Gabor Texture Features for Fine-Grained Recognitioncited by 16
  14. 2023EdVAE: Mitigating Codebook Collapse with Evidential Discrete Variational Autoencoderscited by 16
  15. 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modelingcited by 14
  16. 2021Enriching Non-Autoregressive Transformer with Syntactic and SemanticStructures for Neural Machine Translationcited by 13
  17. 2022N-Grammer: Augmenting Transformers with latent n-gramscited by 13
  18. 2022Viterbi Decoding of Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 13
  19. 2023General Neural Gauge Fieldscited by 12
  20. 2022Non-Autoregressive Machine Translation: It's Not as Fast as it Seemscited by 11
  21. 2022JukeDrummer: Conditional Beat-aware Audio-domain Drum Accompaniment Generation via Transformer VQ-VAEcited by 11
  22. 2023Neural Markov Jump Processescited by 11
  23. 2023CQM: Curriculum Reinforcement Learning with a Quantized World Modelcited by 11
  24. 2022Are disentangled representations all you need to build speaker anonymization systems?cited by 10
  25. 2023Discrete Graph Auto-Encodercited by 10
  26. 2023Soft Convex Quantization: Revisiting Vector Quantization with Convex Optimizationcited by 10
  27. 2024Representation Collapsing Problems in Vector Quantizationcited by 10
  28. 2021Non-autoregressive End-to-end Speech Translation with Parallel Autoregressive Rescoringcited by 9
  29. 2021Unsupervised Learning of Neurosymbolic Encoderscited by 8
  30. 2024Sign Stitching: A Novel Approach to Sign Language Productioncited by 8
  31. 2024Beyond Next Token Prediction: Patch-Level Training for Large Language Modelscited by 7
  32. 2025Not Every Patch is Needed: Towards a More Efficient and Effective Backbone for Video-based Person Re-identificationcited by 7
  33. 2022Few-shot Image Generation Using Discrete Content Representationcited by 6
  34. 2022Multi-Granularity Optimization for Non-Autoregressive Translationcited by 6
  35. 2024Dr. Strategy: Model-Based Generalist Agents with Strategic Dreamingcited by 6
  36. 2024Precise Facial Landmark Detection by Dynamic Semantic Aggregation Transformercited by 6
  37. 2021MvSR-NAT: Multi-view Subset Regularization for Non-Autoregressive Machine Translationcited by 5
  38. 2024Non-autoregressive Sequence-to-Sequence Vision-Language Modelscited by 5

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