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Feedback alignment in deep convolutional networks

arXiv 1812.06488 ↗First posted 12 Dec 2018cs.NE cs.LG stat.MLcited by 31

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Abstract (arXiv)

Ongoing studies have identified similarities between neural representations in biological networks and in deep artificial neural networks. This has led to renewed interest in developing analogies between the backpropagation learning algorithm used to train artificial networks and the synaptic plasticity rules operative in the brain. These efforts are challenged by biologically implausible features of backpropagation, one of which is a reliance on symmetric forward and backward synaptic weights. A number of methods have been proposed that do not rely on weight symmetry but, thus far, these have failed to scale to deep convolutional networks and complex data. We identify principal obstacles to the scalability of such algorithms and introduce several techniques to mitigate them. We demonstrate that a modification of the feedback alignment method that enforces a weaker form of weight symmetry, one that requires agreement of weight sign but not magnitude, can achieve performance competitive with backpropagation. Our results complement those of Bartunov et al. (2018) and Xiao et al. (2018b) and suggest that mechanisms that promote alignment of feedforward and feedback weights are critical for learning in deep networks.

Key facts. Cited by 31 papers in the map (data through 14 Oct 2026). First posted on arXiv 12 Dec 2018.

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Citing papers per year: 2021: 8; 2022: 5; 2023: 8; 2024: 2; 2025: 4; 2026: 4.

31 papers.

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  1. 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 259
  2. 2023Brain-inspired Computational Intelligence via Predictive Codingcited by 30
  3. 2021Credit Assignment in Neural Networks through Deep Feedback Controlcited by 29
  4. 2022The Influence of Learning Rule on Representation Dynamics in Wide Neural Networkscited by 19
  5. 2023Brain-Inspired Machine Intelligence: A Survey of Neurobiologically-Plausible Credit Assignmentcited by 15
  6. 2023Dual Propagation: Accelerating Contrastive Hebbian Learning with Dyadic Neuronscited by 14
  7. 2021Towards Biologically Plausible Convolutional Networkscited by 13
  8. 2023Forward Learning with Top-Down Feedback: Empirical and Analytical Characterizationcited by 13
  9. 2021Benchmarking the Accuracy and Robustness of Feedback Alignment Algorithmscited by 9
  10. 2022Learning efficient backprojections across cortical hierarchies in real timecited by 8
  11. 2022Fixed-Weight Difference Target Propagationcited by 6
  12. 2024A Review of Neuroscience-Inspired Machine Learningcited by 6
19 more
  1. 2021Training Deep Architectures Without End-to-End Backpropagation: A Survey on the Provably Optimal Methodscited by 5
  2. 2021How and When Random Feedback Works: A Case Study of Low-Rank Matrix Factorizationcited by 5
  3. 2023Representation Learning in a Decomposed Encoder Design for Bio-inspired Hebbian Learningcited by 2
  4. 2025Curl Descent: Non-Gradient Learning Dynamics with Sign-Diverse Plasticitycited by 2
  5. 2026Overcoming Rank Collapse in Feedback Alignmentcited by 2
  6. 2021Tourbillon: a Physically Plausible Neural Architecturecited by 1
  7. 2021Convergence Analysis and Implicit Regularization of Feedback Alignment for Deep Linear Networkscited by 1
  8. 2022A Computational Framework of Cortical Microcircuits Approximates Sign-concordant Random Backpropagationcited by 1
  9. 2023A Goal-Driven Approach to Systems Neurosciencecited by 1
  10. 2024Deep Learning without Weight Symmetrycited by 1
  11. 2025Spike-based alignment learning solves the weight transport problemcited by 1
  12. 2025Self-Evidencing Through Hierarchical Gradient Decomposition: A Dissipative System That Maintains Non-Equilibrium Steady-State by Minimizing Variational Free Energycited by 1
  13. 2026Conditioned Direct Feedback Alignment via Activity and Error Geometrycited by 1
  14. 2022A comparative study of back propagation and its alternatives on multilayer perceptronscited by 0
  15. 2023Learning with augmented target information: An alternative theory of Feedback Alignmentcited by 0
  16. 2023Zenkai -- Framework For Exploring Beyond Backpropagationcited by 0
  17. 2025Frozen Backpropagation: Relaxing Weight Symmetry in Deep Spiking Neural Networkscited by 0
  18. 2026Biological Plausibility and Representational Alignment of Feedback Alignment in Convolutional Networkscited by 0
  19. 2026What Accuracy and Gradient Cosine Miss: Evaluating Feedback Alignment via Scale Stability, Reference Validity, and Depth Utilitycited by 0