Theory and Experiments on Vector Quantized Autoencoders
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Abstract (arXiv)
Deep neural networks with discrete latent variables offer the promise of better symbolic reasoning, and learning abstractions that are more useful to new tasks. There has been a surge in interest in discrete latent variable models, however, despite several recent improvements, the training of discrete latent variable models has remained challenging and their performance has mostly failed to match their continuous counterparts. Recent work on vector quantized autoencoders (VQ-VAE) has made substantial progress in this direction, with its perplexity almost matching that of a VAE on datasets such as CIFAR-10. In this work, we investigate an alternate training technique for VQ-VAE, inspired by its connection to the Expectation Maximization (EM) algorithm. Training the discrete bottleneck with EM helps us achieve better image generation results on CIFAR-10, and together with knowledge distillation, allows us to develop a non-autoregressive machine translation model whose accuracy almost matches a strong greedy autoregressive baseline Transformer, while being 3.3 times faster at inference.
Key facts. Cited by 55 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 May 2018.
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Citing papers per year: 2021: 5; 2022: 9; 2023: 14; 2024: 11; 2025: 12; 2026: 4.
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- 2023Finite Scalar Quantization: VQ-VAE Made Simplecited by 425
- 2023Straightening Out the Straight-Through Estimator: Overcoming Optimization Challenges in Vector Quantized Networkscited by 80
- 2024Addressing Representation Collapse in Vector Quantized Models with One Linear Layercited by 77
- 2023To Compress or Not to Compress- Self-Supervised Learning and Information Theory: A Reviewcited by 72
- 2022SQ-VAE: Variational Bayes on Discrete Representation with Self-annealed Stochastic Quantizationcited by 68
- 2023Regularized Vector Quantization for Tokenized Image Synthesiscited by 46
- 2021Global Context with Discrete Diffusion in Vector Quantised Modelling for Image Generationcited by 40
- 2023Neural Categorical Priors for Physics-Based Character Controlcited by 37
- 2022Choreographer: Learning and Adapting Skills in Imaginationcited by 31
- 2023Lifelike Agility and Play in Quadrupedal Robots using Reinforcement Learning and Generative Pre-trained Modelscited by 30
- 2023HQ-VAE: Hierarchical Discrete Representation Learning with Variational Bayescited by 27
- 2021MaGNET: Uniform Sampling from Deep Generative Network Manifolds Without Retrainingcited by 23
38 more
- 2021Factorising Meaning and Form for Intent-Preserving Paraphrasingcited by 22
- 2023Vector Quantized Wasserstein Auto-Encodercited by 22
- 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translationcited by 20
- 2022Non-Monotonic Latent Alignments for CTC-Based Non-Autoregressive Machine Translationcited by 16
- 2023EdVAE: Mitigating Codebook Collapse with Evidential Discrete Variational Autoencoderscited by 16
- 2022N-Grammer: Augmenting Transformers with latent n-gramscited by 13
- 2024HyperVQ: MLR-based Vector Quantization in Hyperbolic Spacecited by 13
- 2025STAR: Learning Diverse Robot Skill Abstractions through Rotation-Augmented Vector Quantizationcited by 13
- 2023CQM: Curriculum Reinforcement Learning with a Quantized World Modelcited by 11
- 2023VQ-NeRF: Neural Reflectance Decomposition and Editing with Vector Quantizationcited by 8
- 2022Vector-Quantized Input-Contextualized Soft Prompts for Natural Language Understandingcited by 7
- 2023Controllable Video Generation by Learning the Underlying Dynamical System with Neural ODEcited by 7
- 2025Discrete Tokenization for Multimodal LLMs: A Comprehensive Surveycited by 7
- 2024Improving Semantic Control in Discrete Latent Spaces with Transformer Quantized Variational Autoencoderscited by 6
- 2024Instance-Aware Graph Prompt Learningcited by 6
- 2022A Physics-Informed Vector Quantized Autoencoder for Data Compression of Turbulent Flowcited by 5
- 2023Non-autoregressive Machine Translation with Probabilistic Context-free Grammarcited by 4
- 2024STRUM-LLM: Attributed and Structured Contrastive Summarizationcited by 4
- 2024Balance of Number of Embedding and their Dimensions in Vector Quantizationcited by 4
- 2024CryoFM: A Flow-based Foundation Model for Cryo-EM Densitiescited by 4
- 2024InfoCon: Concept Discovery with Generative and Discriminative Informativenesscited by 3
- 2024Optimizing Contextual Speech Recognition Using Vector Quantization for Efficient Retrievalcited by 3
- 2025BioSerenity-E1: a self-supervised EEG model for medical applicationscited by 3
- 2021Discrete Auto-regressive Variational Attention Models for Text Modelingcited by 2
- 2024Gaussian Mixture Vector Quantization with Aggregated Categorical Posteriorcited by 2
- 2025Graph is a Natural Regularization: Revisiting Vector Quantization for Graph Representation Learningcited by 2
- 2022Reproducible, incremental representation learning with Rosetta VAEcited by 1
- 2023Human-Guided Complexity-Controlled Abstractionscited by 1
- 2024ACCEPT: Adaptive Codebook for Composite and Efficient Prompt Tuningcited by 1
- 2025Training-Free Vector Quantization via Gaussian VAEscited by 1
- 2026Scalable Mean-Field Variational Inference via Preconditioned Primal-Dual Optimizationcited by 1
- 2021Boltzmann Tuning of Generative Modelscited by 0
- 2022Implicit Feature Decoupling with Depthwise Quantizationcited by 0
- 2025Information-theoretic Generalization Analysis for VQ-VAEs: A Role of Latent Variablescited by 0
- 2025Task-Driven Discrete Representation Learningcited by 0
- 2025Learning to Gridize: Segment Physical World by Wireless Communication Channelcited by 0
- 2025Distillation of a tractable model from the VQ-VAEcited by 0
- 2025Group-Wise Optimization for Self-Extensible Codebooks in Vector Quantized Modelscited by 0
50 most cited of 55 All 55 (JSON)
- 2026Geometry-Aware Hyperbolic Residual-Quantized Variational Autoencoders22 Sep 2026
- 2026NAC: Neural Action Codec for Vision-Language-Action Models19 Jun 2026
- 2026NSVQ: Mitigating Codebook Collapse by Stabilizing Encoder Drift in Vector Quantization9 Jun 2026
- 2026Scalable Mean-Field Variational Inference via Preconditioned Primal-Dual Optimization7 Feb 2026
- 2025Training-Free Vector Quantization via Gaussian VAEs7 Dec 2025
- 2025Point Cloud Quantization through Multimodal Prompting for 3D Understanding15 Nov 2025
- 2025Vector Quantization in the Brain: Grid-like Codes in World Models16 Oct 2025
- 2025Group-Wise Optimization for Self-Extensible Codebooks in Vector Quantized Models15 Oct 2025
- 2025Distillation of a tractable model from the VQ-VAE1 Sep 2025
- 2025Graph is a Natural Regularization: Revisiting Vector Quantization for Graph Representation Learning8 Aug 2025
- 2025Discrete Tokenization for Multimodal LLMs: A Comprehensive Survey21 Jul 2025
- 2025Learning to Gridize: Segment Physical World by Wireless Communication Channel21 Jul 2025
38 more
- 2025Task-Driven Discrete Representation Learning13 Jun 2025
- 2025STAR: Learning Diverse Robot Skill Abstractions through Rotation-Augmented Vector Quantization4 Jun 2025
- 2025Information-theoretic Generalization Analysis for VQ-VAEs: A Role of Latent Variables26 May 2025
- 2025BioSerenity-E1: a self-supervised EEG model for medical applications13 Mar 2025
- 2024Instance-Aware Graph Prompt Learning26 Nov 2024
- 2024Addressing Representation Collapse in Vector Quantized Models with One Linear Layer4 Nov 2024
- 2024Optimizing Contextual Speech Recognition Using Vector Quantization for Efficient Retrieval1 Nov 2024
- 2024Gaussian Mixture Vector Quantization with Aggregated Categorical Posterior14 Oct 2024
- 2024CryoFM: A Flow-based Foundation Model for Cryo-EM Densities11 Oct 2024
- 2024ACCEPT: Adaptive Codebook for Composite and Efficient Prompt Tuning10 Oct 2024
- 2024Balance of Number of Embedding and their Dimensions in Vector Quantization6 Jul 2024
- 2024STRUM-LLM: Attributed and Structured Contrastive Summarization25 Mar 2024
- 2024HyperVQ: MLR-based Vector Quantization in Hyperbolic Space18 Mar 2024
- 2024InfoCon: Concept Discovery with Generative and Discriminative Informativeness14 Mar 2024
- 2024Improving Semantic Control in Discrete Latent Spaces with Transformer Quantized Variational Autoencoders1 Feb 2024
- 2023HQ-VAE: Hierarchical Discrete Representation Learning with Variational Bayes31 Dec 2023
- 2023Non-autoregressive Machine Translation with Probabilistic Context-free Grammar14 Nov 2023
- 2023Human-Guided Complexity-Controlled Abstractions26 Oct 2023
- 2023CQM: Curriculum Reinforcement Learning with a Quantized World Model26 Oct 2023
- 2023VQ-NeRF: Neural Reflectance Decomposition and Editing with Vector Quantization18 Oct 2023
- 2023EdVAE: Mitigating Codebook Collapse with Evidential Discrete Variational Autoencoders9 Oct 2023
- 2023Finite Scalar Quantization: VQ-VAE Made Simple27 Sep 2023
- 2023Lifelike Agility and Play in Quadrupedal Robots using Reinforcement Learning and Generative Pre-trained Models29 Aug 2023
- 2023Neural Categorical Priors for Physics-Based Character Control14 Aug 2023
- 2023Straightening Out the Straight-Through Estimator: Overcoming Optimization Challenges in Vector Quantized Networks15 May 2023
- 2023To Compress or Not to Compress- Self-Supervised Learning and Information Theory: A Review19 Apr 2023
- 2023Regularized Vector Quantization for Tokenized Image Synthesis11 Mar 2023
- 2023Controllable Video Generation by Learning the Underlying Dynamical System with Neural ODE9 Mar 2023
- 2023Vector Quantized Wasserstein Auto-Encoder12 Feb 2023
- 2022Choreographer: Learning and Adapting Skills in Imagination23 Nov 2022
- 2022Non-Monotonic Latent Alignments for CTC-Based Non-Autoregressive Machine Translation8 Oct 2022
- 2022N-Grammer: Augmenting Transformers with latent n-grams13 Jul 2022
- 2022One Reference Is Not Enough: Diverse Distillation with Reference Selection for Non-Autoregressive Translation28 May 2022
- 2022Vector-Quantized Input-Contextualized Soft Prompts for Natural Language Understanding23 May 2022
- 2022SQ-VAE: Variational Bayes on Discrete Representation with Self-annealed Stochastic Quantization16 May 2022
- 2022Implicit Feature Decoupling with Depthwise Quantization15 Mar 2022
- 2022Reproducible, incremental representation learning with Rosetta VAE13 Jan 2022
- 2022A Physics-Informed Vector Quantized Autoencoder for Data Compression of Turbulent Flow10 Jan 2022
50 newest of 55 All 55 (JSON)
- 2026NAC: Neural Action Codec for Vision-Language-Action Models19 Jun 2026
- 2023Finite Scalar Quantization: VQ-VAE Made Simplecited by 425
- 2023Straightening Out the Straight-Through Estimator: Overcoming Optimization Challenges in Vector Quantized Networkscited by 80
- 2024Addressing Representation Collapse in Vector Quantized Models with One Linear Layercited by 77
- 2023To Compress or Not to Compress- Self-Supervised Learning and Information Theory: A Reviewcited by 72
- 2022SQ-VAE: Variational Bayes on Discrete Representation with Self-annealed Stochastic Quantizationcited by 68
- 2023Regularized Vector Quantization for Tokenized Image Synthesiscited by 46
- 2023Neural Categorical Priors for Physics-Based Character Controlcited by 37
- 2022Choreographer: Learning and Adapting Skills in Imaginationcited by 31
- 2023Lifelike Agility and Play in Quadrupedal Robots using Reinforcement Learning and Generative Pre-trained Modelscited by 30
- 2023HQ-VAE: Hierarchical Discrete Representation Learning with Variational Bayescited by 27
- 2021MaGNET: Uniform Sampling from Deep Generative Network Manifolds Without Retrainingcited by 23
- 2021Factorising Meaning and Form for Intent-Preserving Paraphrasingcited by 22
12 most cited of 50 All 50 (JSON)
- 2026Geometry-Aware Hyperbolic Residual-Quantized Variational Autoencoders22 Sep 2026
- 2026NSVQ: Mitigating Codebook Collapse by Stabilizing Encoder Drift in Vector Quantization9 Jun 2026
- 2026Scalable Mean-Field Variational Inference via Preconditioned Primal-Dual Optimization7 Feb 2026
- 2025Training-Free Vector Quantization via Gaussian VAEs7 Dec 2025
- 2025Point Cloud Quantization through Multimodal Prompting for 3D Understanding15 Nov 2025
- 2025Group-Wise Optimization for Self-Extensible Codebooks in Vector Quantized Models15 Oct 2025
- 2025Distillation of a tractable model from the VQ-VAE1 Sep 2025
- 2025Graph is a Natural Regularization: Revisiting Vector Quantization for Graph Representation Learning8 Aug 2025
- 2025Learning to Gridize: Segment Physical World by Wireless Communication Channel21 Jul 2025
- 2025Task-Driven Discrete Representation Learning13 Jun 2025
- 2025STAR: Learning Diverse Robot Skill Abstractions through Rotation-Augmented Vector Quantization4 Jun 2025
- 2025Information-theoretic Generalization Analysis for VQ-VAEs: A Role of Latent Variables26 May 2025
12 newest of 50 All 50 (JSON)