mlsanityData to 14 Oct 2026

The Neural Coding Framework for Learning Generative Models

arXiv 2012.03405 ↗First posted 7 Dec 2020cs.LG cs.AI cs.NEcited by 44

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Abstract (arXiv)

Neural generative models can be used to learn complex probability distributions from data, to sample from them, and to produce probability density estimates. We propose a computational framework for developing neural generative models inspired by the theory of predictive processing in the brain. According to predictive processing theory, the neurons in the brain form a hierarchy in which neurons in one level form expectations about sensory inputs from another level. These neurons update their local models based on differences between their expectations and the observed signals. In a similar way, artificial neurons in our generative models predict what neighboring neurons will do, and adjust their parameters based on how well the predictions matched reality. In this work, we show that the neural generative models learned within our framework perform well in practice across several benchmark datasets and metrics and either remain competitive with or significantly outperform other generative models with similar functionality (such as the variational auto-encoder).

Key facts. Cited by 44 papers in the map (data through 14 Oct 2026). First posted on arXiv 7 Dec 2020.

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Citing papers per year: 2021: 4; 2022: 10; 2023: 10; 2024: 11; 2025: 5; 2026: 4.

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  1. 2022Predictive Coding: Towards a Future of Deep Learning beyond Backpropagation?cited by 45
  2. 2021Associative Memories via Predictive Codingcited by 44
  3. 2023In search of dispersed memories: Generative diffusion models are associative memory networkscited by 44
  4. 2023World Models and Predictive Coding for Cognitive and Developmental Robotics: Frontiers and Challengescited by 36
  5. 2023The Predictive Forward-Forward Algorithmcited by 35
  6. 2022Learning on Arbitrary Graph Topologies via Predictive Codingcited by 33
  7. 2023Brain-inspired Computational Intelligence via Predictive Codingcited by 30
  8. 2024Benchmarking Predictive Coding Networks -- Made Simplecited by 30
  9. 2022A Stable, Fast, and Fully Automatic Learning Algorithm for Predictive Coding Networkscited by 22
  10. 2023The Cascaded Forward Algorithm for Neural Network Trainingcited by 17
  11. 2022Predictive Coding beyond Gaussian Distributionscited by 16
  12. 2022BayesPCN: A Continually Learnable Predictive Coding Associative Memorycited by 14
32 more
  1. 2021How to Train Your Wide Neural Network Without Backprop: An Input-Weight Alignment Perspectivecited by 13
  2. 2023Forward Learning with Top-Down Feedback: Empirical and Analytical Characterizationcited by 13
  3. 2021Backprop-Free Reinforcement Learning with Active Neural Generative Codingcited by 12
  4. 2022Convolutional Neural Generative Coding: Scaling Predictive Coding to Natural Imagescited by 10
  5. 2022A Mathematical Framework for Learning Probability Distributionscited by 7
  6. 2024Predictive Coding Networks and Inference Learning: Tutorial and Surveycited by 7
  7. 2025Towards the Training of Deeper Predictive Coding Neural Networkscited by 7
  8. 2022Active Predicting Coding: Brain-Inspired Reinforcement Learning for Sparse Reward Robotic Control Problemscited by 6
  9. 2023Predictive Coding beyond Correlationscited by 6
  10. 2024A Review of Neuroscience-Inspired Machine Learningcited by 6
  11. 2022Robust Graph Representation Learning via Predictive Codingcited by 5
  12. 2024Are Biological Systems More Intelligent Than Artificial Intelligence?cited by 5
  13. 2022Maze Learning using a Hyperdimensional Predictive Processing Cognitive Architecturecited by 4
  14. 2023Neural Sampling in Hierarchical Exponential-family Energy-based Modelscited by 4
  15. 2024Divide-and-Conquer Predictive Coding: a structured Bayesian inference algorithmcited by 3
  16. 2024Tight Stability, Convergence, and Robustness Bounds for Predictive Coding Networkscited by 3
  17. 2024Temporal-Difference Learning Using Distributed Error Signalscited by 3
  18. 2026Faster Predictive Coding Networks via Better Initializationcited by 3
  19. 2021Towards a Predictive Processing Implementation of the Common Model of Cognitioncited by 2
  20. 2023PACER: A Fully Push-forward-based Distributional Reinforcement Learning Algorithmcited by 2
  21. 2023A Neuro-mimetic Realization of the Common Model of Cognition via Hebbian Learning and Free Energy Minimizationcited by 2
  22. 2024pyhgf: A neural network library for predictive codingcited by 2
  23. 2025Bayesian Predictive Codingcited by 2
  24. 2025Bridging Predictive Coding and MDL: A Two-Part Code Framework for Deep Learningcited by 1
  25. 2026Predictive Coding Graphs are a Superset of Feedforward Neural Networkscited by 1
  26. 2024CCNETS: A Modular Causal Learning Framework for Pattern Recognition in Imbalanced Datasetscited by 0
  27. 2024Deep hybrid models: infer and plan in a dynamic worldcited by 0
  28. 2024Dynamic planning in hierarchical active inferencecited by 0
  29. 2025Meta-Representational Predictive Coding: Neuroscience-Informed Self-Supervised Learningcited by 0
  30. 2025Local Pairwise Distance Matching for Backpropagation-Free Reinforcement Learningcited by 0
  31. 2026Spiking Graph Predictive Coding for Reliable OOD Generalizationcited by 0
  32. 2026Error Highways: Scaling Predictive Coding to Very Deep Networkscited by 0