Implicit Reparameterization Gradients
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Abstract (arXiv)
By providing a simple and efficient way of computing low-variance gradients of continuous random variables, the reparameterization trick has become the technique of choice for training a variety of latent variable models. However, it is not applicable to a number of important continuous distributions. We introduce an alternative approach to computing reparameterization gradients based on implicit differentiation and demonstrate its broader applicability by applying it to Gamma, Beta, Dirichlet, and von Mises distributions, which cannot be used with the classic reparameterization trick. Our experiments show that the proposed approach is faster and more accurate than the existing gradient estimators for these distributions.
Key facts. Cited by 84 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 May 2018.
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Citing papers per year: 2021: 22; 2022: 7; 2023: 16; 2024: 14; 2025: 12; 2026: 13.
84 papers.
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- 2021Smooth Normalizing Flowscited by 52
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- 2021A Hierarchical Variational Neural Uncertainty Model for Stochastic Video Predictioncited by 10
38 more
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- 2022Reinforcement Learning in Presence of Discrete Markovian Context Evolutioncited by 9
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- 2024Understanding What Affects the Generalization Gap in Visual Reinforcement Learning: Theory and Empirical Evidencecited by 5
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50 most cited of 84 All 84 (JSON)
- 2026Same Loss, Different Gradients30 Sep 2026
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- 2026Hybrid Classical-Quantum Variational Autoencoder for Neural Topic Modeling11 Jun 2026
- 2026Meta-Attention: Bayesian Per-Token Routing for Efficient Transformer Inference27 May 2026
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- 2026Reparameterization through Coverings and Topological Weight Priors26 Apr 2026
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- 2026Ultra-low-light computer vision using trained photon correlations13 Apr 2026
- 2026GLU: Global-Local-Uncertainty Fusion for Scalable Spatiotemporal Reconstruction and Forecasting27 Mar 2026
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38 more
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- 2025Negative Binomial Variational Autoencoders for Overdispersed Latent Modeling7 Aug 2025
- 2025Relation-Aware Slicing in Cross-Domain Alignment17 Jul 2025
- 2025Rao-Blackwellised Reparameterisation Gradients9 Jun 2025
- 2025Revisiting Unbiased Implicit Variational Inference4 Jun 2025
- 2025A New Stochastic Approximation Method for Gradient-based Simulated Parameter Estimation24 Mar 2025
- 2025Unraveling particle dark matter with Physics-Informed Neural Networks24 Feb 2025
- 2025Learning to Discover Regulatory Elements for Gene Expression Prediction19 Feb 2025
- 2025BN-Pool: Bayesian Nonparametric Pooling for Graphs16 Jan 2025
- 2025Deep Variational Sequential Monte Carlo for High-Dimensional Observations10 Jan 2025
- 2025Classifier Weighted Mixture models6 Jan 2025
- 2024FineGates: LLMs Finetuning with Compression using Stochastic Gates17 Dec 2024
- 2024Expert-elicitation method for non-parametric joint priors using normalizing flows24 Nov 2024
- 2024Deep Sparse Latent Feature Models for Knowledge Graph Completion24 Nov 2024
- 2024Scalable Random Feature Latent Variable Models23 Oct 2024
- 2024Stabilizing the Kumaraswamy Distribution1 Oct 2024
- 2024Soft Actor-Critic with Beta Policy via Implicit Reparameterization Gradients8 Sep 2024
- 2024How to Choose a Reinforcement-Learning Algorithm30 Jul 2024
- 2024iMTSP: Solving Min-Max Multiple Traveling Salesman Problem with Imperative Learning1 May 2024
- 2024A Dual Perspective of Reinforcement Learning for Imposing Policy Constraints25 Apr 2024
- 2024Analytical Approximation of the ELBO Gradient in the Context of the Clutter Problem16 Apr 2024
- 2024Differentiable and Stable Long-Range Tracking of Multiple Posterior Modes12 Apr 2024
- 2024Improving Variational Autoencoder Estimation from Incomplete Data with Mixture Variational Families5 Mar 2024
- 2024A VAE-based Framework for Learning Multi-Level Neural Granger-Causal Connectivity25 Feb 2024
- 2024Understanding What Affects the Generalization Gap in Visual Reinforcement Learning: Theory and Empirical Evidence5 Feb 2024
- 2023Contextual Feature Selection with Conditional Stochastic Gates21 Dec 2023
- 2023Model-Based Reparameterization Policy Gradient Methods: Theory and Practical Algorithms30 Oct 2023
- 2023Learning to Abstract with Nonparametric Variational Information Bottleneck26 Oct 2023
- 2023Bayesian sparsification for deep neural networks with Bayesian model reduction21 Sep 2023
- 2023DBsurf: A Discrepancy Based Method for Discrete Stochastic Gradient Estimation7 Sep 2023
- 2023Likelihood-based inference and forecasting for trawl processes: a stochastic optimization approach30 Aug 2023
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- 2023Variational Label-Correlation Enhancement for Congestion Prediction1 Aug 2023
- 2023Stochastic automatic differentiation for Monte Carlo processes28 Jul 2023
- 2023Robust scalable initialization for Bayesian variational inference with multi-modal Laplace approximations12 Jul 2023
50 newest of 84 All 84 (JSON)
- 2026DirMoE: Dirichlet-routed Mixture of Expertscited by 1
- 2026DirMoE: Dirichlet-routed Mixture of Experts9 Feb 2026
- 2021Smooth Normalizing Flowscited by 52
- 2021Instance-Dependent Partial Label Learningcited by 49
- 2021Tractable structured natural gradient descent using local parameterizationscited by 22
- 2022One Positive Label is Sufficient: Single-Positive Multi-Label Learning with Label Enhancementcited by 22
- 2021Factor Analysis, Probabilistic Principal Component Analysis, Variational Inference, and Variational Autoencoder: Tutorial and Surveycited by 21
- 2021Auto-FedAvg: Learnable Federated Averaging for Multi-Institutional Medical Image Segmentationcited by 19
- 2021Learning Stochastic Majority Votes by Minimizing a PAC-Bayes Generalization Boundcited by 16
- 2021Pathologies in priors and inference for Bayesian transformerscited by 13
- 2021A unified view of likelihood ratio and reparameterization gradientscited by 12
- 2021Storchastic: A Framework for General Stochastic Automatic Differentiationcited by 11
- 2021Continuous normalizing flows on manifoldscited by 10
- 2021A Hierarchical Variational Neural Uncertainty Model for Stochastic Video Predictioncited by 10
12 most cited of 82 All 82 (JSON)
- 2026Same Loss, Different Gradients30 Sep 2026
- 2026SLP-ProbHard: Probabilistic Hard-Constrained Learning via Structural Latent Parameterization27 Sep 2026
- 2026Scalable Amortized Variational Inference for Non-Poisson Buy-'Til-You-Die Models19 Aug 2026
- 2026Hybrid Classical-Quantum Variational Autoencoder for Neural Topic Modeling11 Jun 2026
- 2026Meta-Attention: Bayesian Per-Token Routing for Efficient Transformer Inference27 May 2026
- 2026OGPO: Sample Efficient Full-Finetuning of Generative Control Policies4 May 2026
- 2026Reparameterization through Coverings and Topological Weight Priors26 Apr 2026
- 2026CLVAE: A Variational Autoencoder for Long-Term Customer Revenue Forecasting24 Apr 2026
- 2026Ultra-low-light computer vision using trained photon correlations13 Apr 2026
- 2026GLU: Global-Local-Uncertainty Fusion for Scalable Spatiotemporal Reconstruction and Forecasting27 Mar 2026
- 2026Train Less, Infer Faster: Efficient Model Finetuning and Compression via Structured Sparsity9 Feb 2026
- 2026GEMSS: A Variational Method for Discovering Multiple Sparse Solutions in Classification and Regression Problems9 Feb 2026
12 newest of 82 All 82 (JSON)