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Associative Memories via Predictive Coding

arXiv 2109.08063 ↗First posted 16 Sep 2021cs.LGcited by 42

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Abstract (arXiv)

Associative memories in the brain receive and store patterns of activity registered by the sensory neurons, and are able to retrieve them when necessary. Due to their importance in human intelligence, computational models of associative memories have been developed for several decades now. They include autoassociative memories, which allow for storing data points and retrieving a stored data point s when provided with a noisy or partial variant of s, and heteroassociative memories, able to store and recall multi-modal data. In this paper, we present a novel neural model for realizing associative memories, based on a hierarchical generative network that receives external stimuli via sensory neurons. This model is trained using predictive coding, an error-based learning algorithm inspired by information processing in the cortex. To test the capabilities of this model, we perform multiple retrieval experiments from both corrupted and incomplete data points. In an extensive comparison, we show that this new model outperforms in retrieval accuracy and robustness popular associative memory models, such as autoencoders trained via backpropagation, and modern Hopfield networks. In particular, in completing partial data points, our model achieves remarkable results on natural image datasets, such as ImageNet, with a surprisingly high accuracy, even when only a tiny fraction of pixels of the original images is presented. Furthermore, we show that this method is able to handle multi-modal data, retrieving images from descriptions, and vice versa. We conclude by discussing the possible impact of this work in the neuroscience community, by showing that our model provides a plausible framework to study learning and retrieval of memories in the brain, as it closely mimics the behavior of the hippocampus as a memory index and generative model.

Key facts. Cited by 42 papers in the map (data through 7 Oct 2026). Builds on 14 of its 47 references that are in the map. First posted on arXiv 16 Sep 2021.

Builds on

14 of 47 references.

References · 14

  1. 2015Flickr30k Entities: Collecting Region-to-Phrase Correspondences for Richer Image-to-Sentence Modelscited by 1,352
  2. 2020What Neural Networks Memorize and Why: Discovering the Long Tail via Influence Estimationcited by 492
  3. 2020Hopfield Networks is All You Needcited by 461
  4. 2016Dense Associative Memory for Pattern Recognitioncited by 230
  5. 2016Deep Predictive Coding Networks for Video Prediction and Unsupervised Learningcited by 203
  6. 2020Large Associative Memory Problem in Neurobiology and Machine Learningcited by 110
  7. 2020Predictive Coding Approximates Backprop along Arbitrary Computation Graphscited by 89
  8. 2020Every Model Learned by Gradient Descent Is Approximately a Kernel Machinecited by 53
  9. 2020Modern Hopfield Networks and Attention for Immune Repertoire Classificationcited by 52
  10. 2019Overparameterized Neural Networks Implement Associative Memorycited by 45
  11. 2018Unsupervised Learning by Competing Hidden Unitscited by 44
  12. 2020The Neural Coding Framework for Learning Generative Modelscited by 44
2 more
  1. 2021Predictive Coding Can Do Exact Backpropagation on Convolutional and Recurrent Neural Networkscited by 14
  2. 2019Meta-Learning Deep Energy-Based Memory Modelscited by 11

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 12; 2023: 7; 2024: 9; 2025: 10; 2026: 4.

42 papers.

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  1. 2022Universal Hopfield Networks: A General Framework for Single-Shot Associative Memory Modelscited by 52
  2. 2022Predictive Coding: Towards a Future of Deep Learning beyond Backpropagation?cited by 45
  3. 2023In search of dispersed memories: Generative diffusion models are associative memory networkscited by 44
  4. 2024Uniform Memory Retrieval with Larger Capacity for Modern Hopfield Modelscited by 38
  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 29
  9. 2022Backpropagation at the Infinitesimal Inference Limit of Energy-Based Models: Unifying Predictive Coding, Equilibrium Propagation, and Contrastive Hebbian Learningcited by 26
  10. 2022A Stable, Fast, and Fully Automatic Learning Algorithm for Predictive Coding Networkscited by 21
  11. 2022A Theoretical Framework for Inference Learningcited by 17
  12. 2022Predictive Coding beyond Gaussian Distributionscited by 16
30 more
  1. 2023Sequential Memory with Temporal Predictive Codingcited by 14
  2. 2022BayesPCN: A Continually Learnable Predictive Coding Associative Memorycited by 12
  3. 2022Convolutional Neural Generative Coding: Scaling Predictive Coding to Natural Imagescited by 10
  4. 2024Predictive Coding Networks and Inference Learning: Tutorial and Surveycited by 7
  5. 2025Towards the Training of Deeper Predictive Coding Neural Networkscited by 7
  6. 2023Predictive Coding beyond Correlationscited by 6
  7. 2024A Review of Neuroscience-Inspired Machine Learningcited by 6
  8. 2022Robust Graph Representation Learning via Predictive Codingcited by 5
  9. 2023Saliency-Guided Hidden Associative Replay for Continual Learningcited by 5
  10. 2025Bidirectional predictive codingcited by 5
  11. 2022On the Relationship Between Variational Inference and Auto-Associative Memorycited by 4
  12. 2023Neural Sampling in Hierarchical Exponential-family Energy-based Modelscited by 4
  13. 2024Improving deep learning with prior knowledge and cognitive models: A survey on enhancing explainability, adversarial robustness and zero-shot learningcited by 4
  14. 2024Tight Stability, Convergence, and Robustness Bounds for Predictive Coding Networkscited by 3
  15. 2026Faster Predictive Coding Networks via Better Initializationcited by 3
  16. 2022Autoencoder Attractors for Uncertainty Estimationcited by 2
  17. 2024Associative Memories in the Feature Spacecited by 2
  18. 2025Bayesian Predictive Codingcited by 2
  19. 2025Self-orthogonalizing attractor neural networks emerging from the free energy principlecited by 2
  20. 2025Predictive Learning in Energy-based Models with Attractor Structurescited by 1
  21. 2025Bridging Predictive Coding and MDL: A Two-Part Code Framework for Deep Learningcited by 1
  22. 2025On the Role of Hidden States of Modern Hopfield Network in Transformercited by 1
  23. 2026Closed-form predictive coding via hierarchical Gaussian filterscited by 1
  24. 2024Entropic associative memory for real world imagescited by 0
  25. 2024Predictive Attractor Modelscited by 0
  26. 2025Meta-Representational Predictive Coding: Neuroscience-Informed Self-Supervised Learningcited by 0
  27. 2025Binding threshold units with artificial oscillatory neuronscited by 0
  28. 2025Semantic and episodic memories in a predictive coding model of the neocortexcited by 0
  29. 2026Robust Auto-associative Memory via Convolutional Restricted Hopfield Networkscited by 0
  30. 2026A Study of Hidden-State Optimization Order in Predictive Coding Networkscited by 0