Neural Variational Inference and Learning in Belief Networks
Not on the map. Why?
Abstract (arXiv)
Highly expressive directed latent variable models, such as sigmoid belief networks, are difficult to train on large datasets because exact inference in them is intractable and none of the approximate inference methods that have been applied to them scale well. We propose a fast non-iterative approximate inference method that uses a feedforward network to implement efficient exact sampling from the variational posterior. The model and this inference network are trained jointly by maximizing a variational lower bound on the log-likelihood. Although the naive estimator of the inference model gradient is too high-variance to be useful, we make it practical by applying several straightforward model-independent variance reduction techniques. Applying our approach to training sigmoid belief networks and deep autoregressive networks, we show that it outperforms the wake-sleep algorithm on MNIST and achieves state-of-the-art results on the Reuters RCV1 document dataset.
Key facts. Cited by 116 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 Jan 2014.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2019: 1; 2020: 0; 2021: 34; 2022: 31; 2023: 17; 2024: 13; 2025: 12; 2026: 8.
116 papers.
Sort:
By area:
- 2022Trajectory balance: Improved credit assignment in GFlowNetscited by 244
- 2022GFlowNets and variational inferencecited by 103
- 2022Tutorial on amortized optimizationcited by 83
- 2021A Review of the Gumbel-max Trick and its Extensions for Discrete Stochasticity in Machine Learningcited by 82
- 2022On Reinforcement Learning and Distribution Matching for Fine-Tuning Language Models with no Catastrophic Forgettingcited by 80
- 2021Learning Semantic Segmentation of Large-Scale Point Clouds with Random Samplingcited by 51
- 2021MultiplexNet: Towards Fully Satisfied Logical Constraints in Neural Networkscited by 44
- 2024A safety realignment framework via subspace-oriented model fusion for large language modelscited by 40
- 2022Recent Advances for Quantum Neural Networks in Generative Learningcited by 39
- 2024Neural Methods for Amortized Inferencecited by 36
- 2022AdaProp: Learning Adaptive Propagation for Graph Neural Network based Knowledge Graph Reasoningcited by 28
- 2021Consistent Sparse Deep Learning: Theory and Computationcited by 27
38 more
- 2022Compositional Scene Representation Learning via Reconstruction: A Surveycited by 27
- 2021Probabilistic Mixture-of-Experts for Efficient Deep Reinforcement Learningcited by 26
- 2021FoveaTer: Foveated Transformer for Image Classificationcited by 26
- 2021Learning Opinion Summarizers by Selecting Informative Reviewscited by 25
- 2022Gradient Estimation with Discrete Stein Operatorscited by 22
- 2022Sparse Graph Learning from Spatiotemporal Time Seriescited by 22
- 2022Gradients should stay on Path: Better Estimators of the Reverse- and Forward KL Divergence for Normalizing Flowscited by 22
- 2023Estimating Conditional Mutual Information for Dynamic Feature Selectioncited by 20
- 2025MDNS: Masked Diffusion Neural Sampler via Stochastic Optimal Controlcited by 20
- 2021Guiding Visual Question Generationcited by 14
- 2023Differentiable Sampling of Categorical Distributions Using the CatLog-Derivative Trickcited by 13
- 2023Towards More Human-like AI Communication: A Review of Emergent Communication Researchcited by 12
- 2021Storchastic: A Framework for General Stochastic Automatic Differentiationcited by 11
- 2021GenNI: Human-AI Collaboration for Data-Backed Text Generationcited by 11
- 2021Unsupervised Learning of Compositional Scene Representations from Multiple Unspecified Viewpointscited by 11
- 2023Lewis's Signaling Game as beta-VAE For Natural Word Lengths and Segmentscited by 11
- 2024Neuro-Symbolic AI: Explainability, Challenges, and Future Trendscited by 10
- 2021Coupled Gradient Estimators for Discrete Latent Variablescited by 9
- 2023Latent Class-Conditional Noise Modelcited by 9
- 2021ARMS: Antithetic-REINFORCE-Multi-Sample Gradient for Binary Variablescited by 8
- 2021Unsupervised Learning of Neurosymbolic Encoderscited by 8
- 2021Toward a `Standard Model' of Machine Learningcited by 8
- 2021Double Control Variates for Gradient Estimation in Discrete Latent Variable Modelscited by 8
- 2022Autoregressive Co-Training for Learning Discrete Speech Representationscited by 8
- 2022A Variational Approach to Bayesian Phylogenetic Inferencecited by 8
- 2022Training Discrete Deep Generative Models via Gapped Straight-Through Estimatorcited by 8
- 2022Compressed Vision for Efficient Video Understandingcited by 8
- 2021Cross-Modal Generative Augmentation for Visual Question Answeringcited by 7
- 2025Causal Time Series Generation via Diffusion Modelscited by 7
- 2021Evidential Softmax for Sparse Multimodal Distributions in Deep Generative Modelscited by 6
- 2022Foundation Posteriors for Approximate Probabilistic Inferencecited by 6
- 2023Block-local learning with probabilistic latent representationscited by 6
- 2021Which is Making the Contribution: Modulating Unimodal and Cross-modal Dynamics for Multimodal Sentiment Analysiscited by 5
- 2022Drawing out of Distribution with Neuro-Symbolic Generative Modelscited by 5
- 2022INTERACTION: A Generative XAI Framework for Natural Language Inference Explanationscited by 5
- 2022Multi-Sample Training for Neural Image Compressioncited by 5
- 2022Variational Open-Domain Question Answeringcited by 5
- 2025Multilevel Generative Samplers for Investigating Critical Phenomenacited by 5
50 most cited of 116 All 116 (JSON)
- 2026Dual-Primal Graph VAEs for Noisy Label Aggregation11 Aug 2026
- 2026Generative Modeling of Discrete Latent Structures via Dynamic Policy Gradients5 Jun 2026
- 2026Uncertainty-Aware Adaptive Sensor Fusion for Autonomous Navigation3 Jun 2026
- 2026Self-Supervised Laplace Approximation for Bayesian Uncertainty Quantification12 May 2026
- 2026Deep probabilistic model synthesis enables unified modeling of whole-brain neural activity across individual subjects15 Mar 2026
- 2026VariBASed: Variational Bayes-Adaptive Sequential Monte-Carlo Planning for Deep Reinforcement Learning21 Feb 2026
- 2026Generalized Radius and Integrated Codebook Transforms for Differentiable Vector Quantization1 Feb 2026
- 2026Categorical Reparameterization with Denoising Diffusion models2 Jan 2026
- 2025Reinforced sequential Monte Carlo for amortised sampling13 Oct 2025
- 2025Beyond Softmax: A Natural Parameterization for Categorical Random Variables29 Sep 2025
- 2025Discrete Variational Autoencoding via Policy Search29 Sep 2025
- 2025Causal Time Series Generation via Diffusion Models25 Sep 2025
38 more
- 2025Type-Compliant Adaptation Cascades: Adapting Programmatic LM Workflows to Data25 Aug 2025
- 2025MDNS: Masked Diffusion Neural Sampler via Stochastic Optimal Control14 Aug 2025
- 2025Zero-Variance Gradients for Variational Autoencoders5 Aug 2025
- 2025Temporal Variational Implicit Neural Representations2 Jun 2025
- 2025Joint-stochastic-approximation Autoencoders with Application to Semi-supervised Learning24 May 2025
- 2025Multilevel Generative Samplers for Investigating Critical Phenomena11 Mar 2025
- 2025Variational phylogenetic inference with products over bipartitions21 Feb 2025
- 2025Learning to be Smooth: An End-to-End Differentiable Particle Smoother14 Feb 2025
- 2024Neuro-Symbolic AI: Explainability, Challenges, and Future Trends7 Nov 2024
- 2024Vector Grimoire: Codebook-based Shape Generation under Raster Image Supervision8 Oct 2024
- 2024Sparsifying Parametric Models with L0 Regularization5 Sep 2024
- 2024Revisiting Score Function Estimators for k-Subset Sampling22 Jul 2024
- 2024To be Continuous, or to be Discrete, Those are Bits of Questions12 Jun 2024
- 2024Structured Learning of Compositional Sequential Interventions9 Jun 2024
- 2024On The Statistical Representation Properties Of The Perturb-Softmax And The Perturb-Argmax Probability Distributions4 Jun 2024
- 2024A safety realignment framework via subspace-oriented model fusion for large language models15 May 2024
- 2024Model-Based Counterfactual Explanations Incorporating Feature Space Attributes for Tabular Data20 Apr 2024
- 2024Neural Methods for Amortized Inference18 Apr 2024
- 2024Physics-integrated generative modeling using attentive planar normalizing flow based variational autoencoder18 Apr 2024
- 2024Differentiable and Stable Long-Range Tracking of Multiple Posterior Modes12 Apr 2024
- 2024Diagonalisation SGD: Fast & Convergent SGD for Non-Differentiable Models via Reparameterisation and Smoothing19 Feb 2024
- 2023Differentiable Sampling of Categorical Distributions Using the CatLog-Derivative Trick21 Nov 2023
- 2023Lewis's Signaling Game as beta-VAE For Natural Word Lengths and Segments8 Nov 2023
- 2023LL-VQ-VAE: Learnable Lattice Vector-Quantization For Efficient Representations13 Oct 2023
- 2023Towards Practical and Efficient Image-to-Speech Captioning with Vision-Language Pre-training and Multi-modal Tokens15 Sep 2023
- 2023Towards More Human-like AI Communication: A Review of Emergent Communication Research1 Aug 2023
- 2023Unbiased Learning of Deep Generative Models with Structured Discrete Representations14 Jun 2023
- 2023Estimating Conditional Mutual Information for Dynamic Feature Selection5 Jun 2023
- 2023Block-local learning with probabilistic latent representations24 May 2023
- 2023Tensorizing flows: a tool for variational inference3 May 2023
- 2023Anomaly Detection in Aeronautics Data with Quantum-compatible Discrete Deep Generative Model22 Mar 2023
- 2023FullFormer: Generating Shapes Inside Shapes20 Mar 2023
- 2023U-Statistics for Importance-Weighted Variational Inference27 Feb 2023
- 2023Latent Class-Conditional Noise Model19 Feb 2023
- 2023Distillation Policy Optimization1 Feb 2023
- 2023Fast and Correct Gradient-Based Optimisation for Probabilistic Programming via Smoothing9 Jan 2023
- 2023Dynamic Local Feature Aggregation for Learning on Point Clouds7 Jan 2023
- 2023Language as a Latent Sequence: deep latent variable models for semi-supervised paraphrase generation5 Jan 2023
50 newest of 116 All 116 (JSON)
- 2019Imitation Learning of Factored Multi-agent Reactive Models12 Mar 2019
- 2022Variational Open-Domain Question Answeringcited by 5
- 2022Variational Open-Domain Question Answering23 Sep 2022
- 2022Trajectory balance: Improved credit assignment in GFlowNetscited by 244
- 2022GFlowNets and variational inferencecited by 103
- 2022Tutorial on amortized optimizationcited by 83
- 2021A Review of the Gumbel-max Trick and its Extensions for Discrete Stochasticity in Machine Learningcited by 82
- 2022On Reinforcement Learning and Distribution Matching for Fine-Tuning Language Models with no Catastrophic Forgettingcited by 80
- 2021Learning Semantic Segmentation of Large-Scale Point Clouds with Random Samplingcited by 51
- 2021MultiplexNet: Towards Fully Satisfied Logical Constraints in Neural Networkscited by 44
- 2022Recent Advances for Quantum Neural Networks in Generative Learningcited by 39
- 2024Neural Methods for Amortized Inferencecited by 36
- 2022AdaProp: Learning Adaptive Propagation for Graph Neural Network based Knowledge Graph Reasoningcited by 28
- 2021Consistent Sparse Deep Learning: Theory and Computationcited by 27
- 2022Compositional Scene Representation Learning via Reconstruction: A Surveycited by 27
12 most cited of 108 All 108 (JSON)
- 2026Dual-Primal Graph VAEs for Noisy Label Aggregation11 Aug 2026
- 2026Generative Modeling of Discrete Latent Structures via Dynamic Policy Gradients5 Jun 2026
- 2026Uncertainty-Aware Adaptive Sensor Fusion for Autonomous Navigation3 Jun 2026
- 2026Self-Supervised Laplace Approximation for Bayesian Uncertainty Quantification12 May 2026
- 2026Deep probabilistic model synthesis enables unified modeling of whole-brain neural activity across individual subjects15 Mar 2026
- 2026VariBASed: Variational Bayes-Adaptive Sequential Monte-Carlo Planning for Deep Reinforcement Learning21 Feb 2026
- 2026Generalized Radius and Integrated Codebook Transforms for Differentiable Vector Quantization1 Feb 2026
- 2025Reinforced sequential Monte Carlo for amortised sampling13 Oct 2025
- 2025Beyond Softmax: A Natural Parameterization for Categorical Random Variables29 Sep 2025
- 2025Discrete Variational Autoencoding via Policy Search29 Sep 2025
- 2025Type-Compliant Adaptation Cascades: Adapting Programmatic LM Workflows to Data25 Aug 2025
- 2025Zero-Variance Gradients for Variational Autoencoders5 Aug 2025
12 newest of 108 All 108 (JSON)