Semi-Amortized Variational Autoencoders
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Abstract (arXiv)
Amortized variational inference (AVI) replaces instance-specific local inference with a global inference network. While AVI has enabled efficient training of deep generative models such as variational autoencoders (VAE), recent empirical work suggests that inference networks can produce suboptimal variational parameters. We propose a hybrid approach, to use AVI to initialize the variational parameters and run stochastic variational inference (SVI) to refine them. Crucially, the local SVI procedure is itself differentiable, so the inference network and generative model can be trained end-to-end with gradient-based optimization. This semi-amortized approach enables the use of rich generative models without experiencing the posterior-collapse phenomenon common in training VAEs for problems like text generation. Experiments show this approach outperforms strong autoregressive and variational baselines on standard text and image datasets.
Key facts. Cited by 83 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Feb 2018.
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Citing papers per year: 2021: 23; 2022: 20; 2023: 15; 2024: 7; 2025: 7; 2026: 11.
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- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2023Diffusion-based Generation, Optimization, and Planning in 3D Scenescited by 237
- 2021COIN: COmpression with Implicit Neural representationscited by 232
- 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)cited by 156
- 2021NeRF-VAE: A Geometry Aware 3D Scene Generative Modelcited by 111
- 2022An Introduction to Neural Data Compressioncited by 78
- 2023Posterior Collapse and Latent Variable Non-identifiabilitycited by 57
- 2021Consistency Regularization for Variational Auto-Encoderscited by 50
- 2023Conditional score-based diffusion models for Bayesian inference in infinite dimensionscited by 37
- 2024Neural Methods for Amortized Inferencecited by 36
- 2022Diagnosing and Fixing Manifold Overfitting in Deep Generative Modelscited by 28
- 2023Amortized Variational Inference: When and Why?cited by 28
38 more
- 2022Hybrid Predictive Coding: Inferring, Fast and Slowcited by 25
- 2022Reliable amortized variational inference with physics-based latent distribution correctioncited by 25
- 2021Preconditioned training of normalizing flows for variational inference in inverse problemscited by 19
- 2022Flexible Neural Image Compression via Code Editingcited by 19
- 2022Amortized Variational Inference: A Systematic Reviewcited by 16
- 2021Certifiably Robust Variational Autoencoderscited by 14
- 2021Finetuning Pretrained Transformers into Variational Autoencoderscited by 14
- 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modelingcited by 14
- 2021Motion Planning by Learning the Solution Manifold in Trajectory Optimizationcited by 13
- 2022Diverse Text Generation via Variational Encoder-Decoder Models with Gaussian Process Priorscited by 13
- 2021VAE Approximation Error: ELBO and Exponential Familiescited by 12
- 2023Learning Dynamics in Linear VAE: Posterior Collapse Threshold, Superfluous Latent Space Pitfalls, and Speedup with KL Annealingcited by 12
- 2024Poisson Variational Autoencodercited by 11
- 2021Latent Space Refinement for Deep Generative Modelscited by 10
- 2021Implicit Riemannian Concave Potential Mapscited by 10
- 2021Applications of the Free Energy Principle to Machine Learning and Neurosciencecited by 9
- 2022Bit Allocation using Optimizationcited by 9
- 2023Deep Backtracking Counterfactuals for Causally Compliant Explanationscited by 8
- 2022Variational Laplace Autoencoderscited by 7
- 2023Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Networkcited by 7
- 2021Reducing the Amortization Gap in Variational Autoencoders: A Bayesian Random Function Approachcited by 6
- 2021Regularizing Variational Autoencoder with Diversity and Uncertainty Awarenesscited by 6
- 2022Forget-me-not! Contrastive Critics for Mitigating Posterior Collapsecited by 6
- 2022Optimization for Amortized Inverse Problemscited by 6
- 2021Generative Text Modeling through Short Run Inferencecited by 5
- 2022Beyond Contrastive Learning: A Variational Generative Model for Multilingual Retrievalcited by 5
- 2021Unsupervised Representation Learning via Neural Activation Codingcited by 4
- 2022DGNet: Distribution Guided Efficient Learning for Oil Spill Image Segmentationcited by 4
- 2023CR-VAE: Contrastive Regularization on Variational Autoencoders for Preventing Posterior Collapsecited by 4
- 2024CryoSPIN: Improving Ab-Initio Cryo-EM Reconstruction with Semi-Amortized Pose Inferencecited by 4
- 2024Fully Bayesian Differential Gaussian Processes through Stochastic Differential Equationscited by 4
- 2024Latent Diffusion Models for Controllable RNA Sequence Generationcited by 4
- 2025Diffusion Bridge Variational Inference for Deep Gaussian Processescited by 4
- 2022Covariate-informed Representation Learning to Prevent Posterior Collapse of iVAEcited by 3
- 2022Learning to Drop Out: An Adversarial Approach to Training Sequence VAEscited by 3
- 2024Explicit and data-Efficient Encoding via Gradient Flowcited by 3
- 2021Improving Actor-Critic Reinforcement Learning via Hamiltonian Monte Carlo Methodcited by 2
- 2021Enhancing audio quality for expressive Neural Text-to-Speechcited by 2
50 most cited of 83 All 83 (JSON)
- 2026Self-Reconstruction Dynamics for Autoencoder Reconstruction Refinement26 Sep 2026
- 2026AVCG: A Generalized Variational Framework for Counterfactual Generation under Hypothesis Distributions7 Sep 2026
- 2026Memory-Computation Tradeoffs in Semi Amortized Parametric Optimization22 Jul 2026
- 2026Generative Bayesian Filtering for State Estimation9 Jul 2026
- 2026Hierarchical Variational Policies for Reward-Guided Diffusion20 May 2026
- 2026The Diffusion Encoder13 May 2026
- 2026Instance-Adaptive Parametrization for Amortized Variational Inference8 Apr 2026
- 2026Amortized Variational Inference for Logistic Regression with Missing Covariates22 Mar 2026
- 2026SRNeRV: A Scale-wise Recursive Framework for Neural Video Representation9 Mar 2026
- 2026A hitchhiker's guide to Poisson gradient estimation3 Feb 2026
- 2026Quasi Monte Carlo methods enable extremely low-dimensional deep generative models26 Jan 2026
- 2025A Semi-amortized Lifted Learning-to-Optimize Masked (SALLO-M) Transformer Model for Scalable and Generalizable Beamforming15 Oct 2025
38 more
- 2025An Encoder-Decoder Network for Beamforming over Sparse Large-Scale MIMO Channels27 Sep 2025
- 2025Diffusion Bridge Variational Inference for Deep Gaussian Processes23 Sep 2025
- 2025Toward Architecture-Agnostic Local Control of Posterior Collapse in VAEs17 Aug 2025
- 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modeling23 May 2025
- 2025Sparse Latent Factor Forecaster (SLFF) with Iterative Inference for Transparent Multi-Horizon Commodity Futures Prediction11 May 2025
- 2025Actively Inferring Optimal Measurement Sequences25 Feb 2025
- 2024Explicit and data-Efficient Encoding via Gradient Flow1 Dec 2024
- 2024Latent Diffusion Models for Controllable RNA Sequence Generation15 Sep 2024
- 2024Fully Bayesian Differential Gaussian Processes through Stochastic Differential Equations12 Aug 2024
- 2024CryoSPIN: Improving Ab-Initio Cryo-EM Reconstruction with Semi-Amortized Pose Inference15 Jun 2024
- 2024Poisson Variational Autoencoder23 May 2024
- 2024Neural Methods for Amortized Inference18 Apr 2024
- 2024When in Doubt, Think Slow: Iterative Reasoning with Latent Imagination23 Feb 2024
- 2023Hyperspectral Image Compression Using Sampling and Implicit Neural Representations4 Dec 2023
- 2023Boosting Summarization with Normalizing Flows and Aggressive Training1 Nov 2023
- 2023Learning Dynamics in Linear VAE: Posterior Collapse Threshold, Superfluous Latent Space Pitfalls, and Speedup with KL Annealing24 Oct 2023
- 2023Predicting Accurate Lagrangian Multipliers for Mixed Integer Linear Programs23 Oct 2023
- 2023Deep Backtracking Counterfactuals for Causally Compliant Explanations11 Oct 2023
- 2023CR-VAE: Contrastive Regularization on Variational Autoencoders for Preventing Posterior Collapse6 Sep 2023
- 2023Amortized Variational Inference: When and Why?20 Jul 2023
- 2023VOLTA: Improving Generative Diversity by Variational Mutual Information Maximizing Autoencoder3 Jul 2023
- 2023Scalable Learning of Latent Language Structure With Logical Offline Cycle Consistency31 May 2023
- 2023Conditional score-based diffusion models for Bayesian inference in infinite dimensions28 May 2023
- 2023TR0N: Translator Networks for 0-Shot Plug-and-Play Conditional Generation26 Apr 2023
- 2023Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Network25 Apr 2023
- 2023Hyperspectral Image Compression Using Implicit Neural Representation8 Feb 2023
- 2023Diffusion-based Generation, Optimization, and Planning in 3D Scenes15 Jan 2023
- 2023Posterior Collapse and Latent Variable Non-identifiability2 Jan 2023
- 2022Beyond Contrastive Learning: A Variational Generative Model for Multilingual Retrieval21 Dec 2022
- 2022DGNet: Distribution Guided Efficient Learning for Oil Spill Image Segmentation19 Dec 2022
- 2022Towards a Taxonomy for the Use of Synthetic Data in Advanced Analytics5 Dec 2022
- 2022Variational Laplace Autoencoders30 Nov 2022
- 2022Optimization for Amortized Inverse Problems25 Oct 2022
- 2022Break The Spell Of Total Correlation In betaTCVAE17 Oct 2022
- 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)1 Oct 2022
- 2022Correcting the Sub-optimal Bit Allocation29 Sep 2022
- 2022Learning to Drop Out: An Adversarial Approach to Training Sequence VAEs26 Sep 2022
- 2022Amortized Variational Inference: A Systematic Review22 Sep 2022
50 newest of 83 All 83 (JSON)
- 2023Diffusion-based Generation, Optimization, and Planning in 3D Scenescited by 237
- 2023Conditional score-based diffusion models for Bayesian inference in infinite dimensionscited by 37
- 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modelingcited by 14
- 2024Latent Diffusion Models for Controllable RNA Sequence Generationcited by 4
- 2026The Diffusion Encodercited by 0
- 2026Hierarchical Variational Policies for Reward-Guided Diffusioncited by 0
- 2026Hierarchical Variational Policies for Reward-Guided Diffusion20 May 2026
- 2026The Diffusion Encoder13 May 2026
- 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modeling23 May 2025
- 2024Latent Diffusion Models for Controllable RNA Sequence Generation15 Sep 2024
- 2023Conditional score-based diffusion models for Bayesian inference in infinite dimensions28 May 2023
- 2023Diffusion-based Generation, Optimization, and Planning in 3D Scenes15 Jan 2023
- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2021COIN: COmpression with Implicit Neural representationscited by 232
- 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)cited by 156
- 2021NeRF-VAE: A Geometry Aware 3D Scene Generative Modelcited by 111
- 2022An Introduction to Neural Data Compressioncited by 78
- 2023Posterior Collapse and Latent Variable Non-identifiabilitycited by 57
- 2021Consistency Regularization for Variational Auto-Encoderscited by 50
- 2024Neural Methods for Amortized Inferencecited by 36
- 2022Diagnosing and Fixing Manifold Overfitting in Deep Generative Modelscited by 28
- 2023Amortized Variational Inference: When and Why?cited by 28
- 2022Hybrid Predictive Coding: Inferring, Fast and Slowcited by 25
- 2022Reliable amortized variational inference with physics-based latent distribution correctioncited by 25
12 most cited of 76 All 76 (JSON)
- 2026Self-Reconstruction Dynamics for Autoencoder Reconstruction Refinement26 Sep 2026
- 2026AVCG: A Generalized Variational Framework for Counterfactual Generation under Hypothesis Distributions7 Sep 2026
- 2026Memory-Computation Tradeoffs in Semi Amortized Parametric Optimization22 Jul 2026
- 2026Generative Bayesian Filtering for State Estimation9 Jul 2026
- 2026Instance-Adaptive Parametrization for Amortized Variational Inference8 Apr 2026
- 2026Amortized Variational Inference for Logistic Regression with Missing Covariates22 Mar 2026
- 2026SRNeRV: A Scale-wise Recursive Framework for Neural Video Representation9 Mar 2026
- 2026A hitchhiker's guide to Poisson gradient estimation3 Feb 2026
- 2026Quasi Monte Carlo methods enable extremely low-dimensional deep generative models26 Jan 2026
- 2025A Semi-amortized Lifted Learning-to-Optimize Masked (SALLO-M) Transformer Model for Scalable and Generalizable Beamforming15 Oct 2025
- 2025An Encoder-Decoder Network for Beamforming over Sparse Large-Scale MIMO Channels27 Sep 2025
- 2025Diffusion Bridge Variational Inference for Deep Gaussian Processes23 Sep 2025
12 newest of 76 All 76 (JSON)