Improving Explorability in Variational Inference with Annealed Variational Objectives
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Abstract (arXiv)
Despite the advances in the representational capacity of approximate distributions for variational inference, the optimization process can still limit the density that is ultimately learned. We demonstrate the drawbacks of biasing the true posterior to be unimodal, and introduce Annealed Variational Objectives (AVO) into the training of hierarchical variational methods. Inspired by Annealed Importance Sampling, the proposed method facilitates learning by incorporating energy tempering into the optimization objective. In our experiments, we demonstrate our method's robustness to deterministic warm up, and the benefits of encouraging exploration in the latent space.
Key facts. Cited by 24 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Sep 2018.
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Citing papers per year: 2021: 9; 2022: 5; 2023: 4; 2024: 2; 2025: 1; 2026: 3.
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- 2021Annealed Flow Transport Monte Carlocited by 90
- 2022Score-Based Diffusion meets Annealed Importance Samplingcited by 51
- 2021MCMC Variational Inference via Uncorrected Hamiltonian Annealingcited by 39
- 2021Monte Carlo Variational Auto-Encoderscited by 36
- 2021Annealed Stein Variational Gradient Descentcited by 24
- 2022Posterior Collapse of a Linear Latent Variable Modelcited by 18
- 2021On the Robustness to Misspecification of α-Posteriors and Their Variational Approximationscited by 15
- 2021Out-of-Distribution Detection for Medical Applications: Guidelines for Practical Evaluationcited by 15
- 2021Nested Variational Inferencecited by 14
- 2023Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Networkcited by 7
- 2021Learning Proposals for Probabilistic Programs with Inference Combinatorscited by 6
- 2023Beyond Vanilla Variational Autoencoders: Detecting Posterior Collapse in Conditional and Hierarchical Variational Autoencoderscited by 6
12 more
- 2023Semiparametric inference using fractional posteriorscited by 4
- 2025Posterior Collapse as a Phase Transition in Variational Autoencoderscited by 4
- 2022AdaAnn: Adaptive Annealing Scheduler for Probability Density Approximationcited by 3
- 2022Covariate-informed Representation Learning to Prevent Posterior Collapse of iVAEcited by 3
- 2024BayesAdapter: enhanced uncertainty estimation in CLIP few-shot adaptationcited by 3
- 2026Annealing in variational inference mitigates mode collapse: A theoretical study on Gaussian mixturescited by 2
- 2021Variational Laplace for Bayesian neural networkscited by 1
- 2022Variational Meta Reinforcement Learning for Social Roboticscited by 1
- 2023Learning Sparse Codes with Entropy-Based ELBOscited by 0
- 2024Variational Sampling of Temporal Trajectoriescited by 0
- 2026Quasi Monte Carlo methods enable extremely low-dimensional deep generative modelscited by 0
- 2026Spherical VAE with Cluster-Aware Feasible Regions: Guaranteed Prevention of Posterior Collapsecited by 0
- 2026Spherical VAE with Cluster-Aware Feasible Regions: Guaranteed Prevention of Posterior Collapse11 Mar 2026
- 2026Annealing in variational inference mitigates mode collapse: A theoretical study on Gaussian mixtures13 Feb 2026
- 2026Quasi Monte Carlo methods enable extremely low-dimensional deep generative models26 Jan 2026
- 2025Posterior Collapse as a Phase Transition in Variational Autoencoders2 Oct 2025
- 2024BayesAdapter: enhanced uncertainty estimation in CLIP few-shot adaptation12 Dec 2024
- 2024Variational Sampling of Temporal Trajectories18 Mar 2024
- 2023Learning Sparse Codes with Entropy-Based ELBOs3 Nov 2023
- 2023Beyond Vanilla Variational Autoencoders: Detecting Posterior Collapse in Conditional and Hierarchical Variational Autoencoders8 Jun 2023
- 2023Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Network25 Apr 2023
- 2023Semiparametric inference using fractional posteriors19 Jan 2023
- 2022Score-Based Diffusion meets Annealed Importance Sampling16 Aug 2022
- 2022Variational Meta Reinforcement Learning for Social Robotics7 Jun 2022
12 more
- 2022Posterior Collapse of a Linear Latent Variable Model9 May 2022
- 2022Covariate-informed Representation Learning to Prevent Posterior Collapse of iVAE9 Feb 2022
- 2022AdaAnn: Adaptive Annealing Scheduler for Probability Density Approximation1 Feb 2022
- 2021Out-of-Distribution Detection for Medical Applications: Guidelines for Practical Evaluation30 Sep 2021
- 2021MCMC Variational Inference via Uncorrected Hamiltonian Annealing8 Jul 2021
- 2021Monte Carlo Variational Auto-Encoders30 Jun 2021
- 2021Nested Variational Inference21 Jun 2021
- 2021On the Robustness to Misspecification of α-Posteriors and Their Variational Approximations16 Apr 2021
- 2021Learning Proposals for Probabilistic Programs with Inference Combinators1 Mar 2021
- 2021Variational Laplace for Bayesian neural networks27 Feb 2021
- 2021Annealed Flow Transport Monte Carlo15 Feb 2021
- 2021Annealed Stein Variational Gradient Descent24 Jan 2021
- 2021Annealed Flow Transport Monte Carlocited by 90
- 2022Score-Based Diffusion meets Annealed Importance Samplingcited by 51
- 2021MCMC Variational Inference via Uncorrected Hamiltonian Annealingcited by 39
- 2021Monte Carlo Variational Auto-Encoderscited by 36
- 2021Annealed Stein Variational Gradient Descentcited by 24
- 2022Posterior Collapse of a Linear Latent Variable Modelcited by 18
- 2021On the Robustness to Misspecification of α-Posteriors and Their Variational Approximationscited by 15
- 2021Out-of-Distribution Detection for Medical Applications: Guidelines for Practical Evaluationcited by 15
- 2021Nested Variational Inferencecited by 14
- 2023Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Networkcited by 7
- 2021Learning Proposals for Probabilistic Programs with Inference Combinatorscited by 6
- 2023Beyond Vanilla Variational Autoencoders: Detecting Posterior Collapse in Conditional and Hierarchical Variational Autoencoderscited by 6
12 most cited of 23 All 23 (JSON)
- 2026Spherical VAE with Cluster-Aware Feasible Regions: Guaranteed Prevention of Posterior Collapse11 Mar 2026
- 2026Annealing in variational inference mitigates mode collapse: A theoretical study on Gaussian mixtures13 Feb 2026
- 2026Quasi Monte Carlo methods enable extremely low-dimensional deep generative models26 Jan 2026
- 2025Posterior Collapse as a Phase Transition in Variational Autoencoders2 Oct 2025
- 2024Variational Sampling of Temporal Trajectories18 Mar 2024
- 2023Learning Sparse Codes with Entropy-Based ELBOs3 Nov 2023
- 2023Beyond Vanilla Variational Autoencoders: Detecting Posterior Collapse in Conditional and Hierarchical Variational Autoencoders8 Jun 2023
- 2023Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Network25 Apr 2023
- 2023Semiparametric inference using fractional posteriors19 Jan 2023
- 2022Score-Based Diffusion meets Annealed Importance Sampling16 Aug 2022
- 2022Variational Meta Reinforcement Learning for Social Robotics7 Jun 2022
- 2022Posterior Collapse of a Linear Latent Variable Model9 May 2022
12 newest of 23 All 23 (JSON)