Stochastic Backpropagation and Approximate Inference in Deep Generative Models
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Abstract (arXiv)
We marry ideas from deep neural networks and approximate Bayesian inference to derive a generalised class of deep, directed generative models, endowed with a new algorithm for scalable inference and learning. Our algorithm introduces a recognition model to represent approximate posterior distributions, and that acts as a stochastic encoder of the data. We develop stochastic back-propagation -- rules for back-propagation through stochastic variables -- and use this to develop an algorithm that allows for joint optimisation of the parameters of both the generative and recognition model. We demonstrate on several real-world data sets that the model generates realistic samples, provides accurate imputations of missing data and is a useful tool for high-dimensional data visualisation.
Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 Jan 2014.
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Citing papers per year: 2021: 13; 2022: 6; 2023: 7; 2024: 0; 2025: 1; 2026: 3.
30 papers.
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- 2021DetCo: Unsupervised Contrastive Learning for Object Detectioncited by 205
- 2021Desiderata for Representation Learning: A Causal Perspectivecited by 76
- 2021Compressive Visual Representationscited by 41
- 2021Revitalizing CNN Attentions via Transformers in Self-Supervised Visual Representation Learningcited by 34
- 2021Sawtooth Factorial Topic Embeddings Guided Gamma Belief Networkcited by 23
- 2022Unsupervised Visual Representation Learning by Synchronous Momentum Groupingcited by 22
- 2023Soft Neighbors are Positive Supporters in Contrastive Visual Representation Learningcited by 18
- 2021Entropic Issues in Likelihood-Based OOD Detectioncited by 16
- 2023DEFT: Dexterous Fine-Tuning for Real-World Hand Policiescited by 15
- 2026VJEPA: Variational Joint Embedding Predictive Architectures as Probabilistic World Modelscited by 14
- 2022Multiple Importance Sampling ELBO and Deep Ensembles of Variational Approximationscited by 12
- 2023Object-Centric Learning with Slot Mixture Modulecited by 11
18 more
- 2022Generalization Gap in Amortized Inferencecited by 10
- 2021TopicNet: Semantic Graph-Guided Topic Discoverycited by 9
- 2022Vitruvio: 3D Building Meshes via Single Perspective Sketchescited by 5
- 2022CHIMLE: Conditional Hierarchical IMLE for Multimodal Conditional Image Synthesiscited by 4
- 2025In-Context Parametric Inference: Point or Distribution Estimators?cited by 4
- 2021Leveraging Structured Biological Knowledge for Counterfactual Inference: a Case Study of Viral Pathogenesiscited by 3
- 2021The use of Generative Adversarial Networks to characterise new physics in multi-lepton final states at the LHCcited by 3
- 2022Learning Invariances with Generalised Input-Convex Neural Networkscited by 3
- 2021toon2real: Translating Cartoon Images to Realistic Imagescited by 1
- 2021Exploring the Diversity and Invariance in Yourself for Visual Pre-Training Taskcited by 1
- 2023Learning to sample in Cartesian MRIcited by 1
- 2026A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Modelscited by 1
- 2021Deep Probabilistic Graphical Modelingcited by 0
- 2021Topographic VAEs learn Equivariant Capsulescited by 0
- 2023Speech representation learning: Learning bidirectional encoders with single-view, multi-view, and multi-task methodscited by 0
- 2023Unsupervised Text Style Transfer with Deep Generative Modelscited by 0
- 2023The Counterattack of CNNs in Self-Supervised Learning: Larger Kernel Size might be All You Needcited by 0
- 2026QuanVI: Score-based Variational Inference via Quantum Maximally Mixed Statescited by 0
- 2026QuanVI: Score-based Variational Inference via Quantum Maximally Mixed States30 Sep 2026
- 2026A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models7 May 2026
- 2026VJEPA: Variational Joint Embedding Predictive Architectures as Probabilistic World Models20 Jan 2026
- 2025In-Context Parametric Inference: Point or Distribution Estimators?17 Feb 2025
- 2023The Counterattack of CNNs in Self-Supervised Learning: Larger Kernel Size might be All You Need9 Dec 2023
- 2023Learning to sample in Cartesian MRI7 Dec 2023
- 2023Object-Centric Learning with Slot Mixture Module8 Nov 2023
- 2023DEFT: Dexterous Fine-Tuning for Real-World Hand Policies30 Oct 2023
- 2023Unsupervised Text Style Transfer with Deep Generative Models31 Aug 2023
- 2023Speech representation learning: Learning bidirectional encoders with single-view, multi-view, and multi-task methods25 Jul 2023
- 2023Soft Neighbors are Positive Supporters in Contrastive Visual Representation Learning30 Mar 2023
- 2022CHIMLE: Conditional Hierarchical IMLE for Multimodal Conditional Image Synthesis25 Nov 2022
18 more
- 2022Vitruvio: 3D Building Meshes via Single Perspective Sketches24 Oct 2022
- 2022Unsupervised Visual Representation Learning by Synchronous Momentum Grouping13 Jul 2022
- 2022Generalization Gap in Amortized Inference23 May 2022
- 2022Learning Invariances with Generalised Input-Convex Neural Networks14 Apr 2022
- 2022Multiple Importance Sampling ELBO and Deep Ensembles of Variational Approximations22 Feb 2022
- 2021TopicNet: Semantic Graph-Guided Topic Discovery27 Oct 2021
- 2021Revitalizing CNN Attentions via Transformers in Self-Supervised Visual Representation Learning11 Oct 2021
- 2021Compressive Visual Representations27 Sep 2021
- 2021Entropic Issues in Likelihood-Based OOD Detection22 Sep 2021
- 2021Desiderata for Representation Learning: A Causal Perspective8 Sep 2021
- 2021Topographic VAEs learn Equivariant Capsules3 Sep 2021
- 2021Sawtooth Factorial Topic Embeddings Guided Gamma Belief Network30 Jun 2021
- 2021Exploring the Diversity and Invariance in Yourself for Visual Pre-Training Task1 Jun 2021
- 2021The use of Generative Adversarial Networks to characterise new physics in multi-lepton final states at the LHC31 May 2021
- 2021Deep Probabilistic Graphical Modeling25 Apr 2021
- 2021DetCo: Unsupervised Contrastive Learning for Object Detection9 Feb 2021
- 2021toon2real: Translating Cartoon Images to Realistic Images1 Feb 2021
- 2021Leveraging Structured Biological Knowledge for Counterfactual Inference: a Case Study of Viral Pathogenesis13 Jan 2021
- 2021DetCo: Unsupervised Contrastive Learning for Object Detectioncited by 205
- 2021Desiderata for Representation Learning: A Causal Perspectivecited by 76
- 2021Compressive Visual Representationscited by 41
- 2021Revitalizing CNN Attentions via Transformers in Self-Supervised Visual Representation Learningcited by 34
- 2021Sawtooth Factorial Topic Embeddings Guided Gamma Belief Networkcited by 23
- 2022Unsupervised Visual Representation Learning by Synchronous Momentum Groupingcited by 22
- 2023Soft Neighbors are Positive Supporters in Contrastive Visual Representation Learningcited by 18
- 2021Entropic Issues in Likelihood-Based OOD Detectioncited by 16
- 2023DEFT: Dexterous Fine-Tuning for Real-World Hand Policiescited by 15
- 2022Multiple Importance Sampling ELBO and Deep Ensembles of Variational Approximationscited by 12
- 2023Object-Centric Learning with Slot Mixture Modulecited by 11
- 2022Generalization Gap in Amortized Inferencecited by 10
12 most cited of 28 All 28 (JSON)
- 2026QuanVI: Score-based Variational Inference via Quantum Maximally Mixed States30 Sep 2026
- 2025In-Context Parametric Inference: Point or Distribution Estimators?17 Feb 2025
- 2023The Counterattack of CNNs in Self-Supervised Learning: Larger Kernel Size might be All You Need9 Dec 2023
- 2023Learning to sample in Cartesian MRI7 Dec 2023
- 2023Object-Centric Learning with Slot Mixture Module8 Nov 2023
- 2023DEFT: Dexterous Fine-Tuning for Real-World Hand Policies30 Oct 2023
- 2023Unsupervised Text Style Transfer with Deep Generative Models31 Aug 2023
- 2023Speech representation learning: Learning bidirectional encoders with single-view, multi-view, and multi-task methods25 Jul 2023
- 2023Soft Neighbors are Positive Supporters in Contrastive Visual Representation Learning30 Mar 2023
- 2022CHIMLE: Conditional Hierarchical IMLE for Multimodal Conditional Image Synthesis25 Nov 2022
- 2022Vitruvio: 3D Building Meshes via Single Perspective Sketches24 Oct 2022
- 2022Unsupervised Visual Representation Learning by Synchronous Momentum Grouping13 Jul 2022
12 newest of 28 All 28 (JSON)