Feedback alignment in deep convolutional networks
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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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- 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 259
- 2023Brain-inspired Computational Intelligence via Predictive Codingcited by 30
- 2021Credit Assignment in Neural Networks through Deep Feedback Controlcited by 29
- 2022The Influence of Learning Rule on Representation Dynamics in Wide Neural Networkscited by 19
- 2023Brain-Inspired Machine Intelligence: A Survey of Neurobiologically-Plausible Credit Assignmentcited by 15
- 2023Dual Propagation: Accelerating Contrastive Hebbian Learning with Dyadic Neuronscited by 14
- 2021Towards Biologically Plausible Convolutional Networkscited by 13
- 2023Forward Learning with Top-Down Feedback: Empirical and Analytical Characterizationcited by 13
- 2021Benchmarking the Accuracy and Robustness of Feedback Alignment Algorithmscited by 9
- 2022Learning efficient backprojections across cortical hierarchies in real timecited by 8
- 2022Fixed-Weight Difference Target Propagationcited by 6
- 2024A Review of Neuroscience-Inspired Machine Learningcited by 6
19 more
- 2021Training Deep Architectures Without End-to-End Backpropagation: A Survey on the Provably Optimal Methodscited by 5
- 2021How and When Random Feedback Works: A Case Study of Low-Rank Matrix Factorizationcited by 5
- 2023Representation Learning in a Decomposed Encoder Design for Bio-inspired Hebbian Learningcited by 2
- 2025Curl Descent: Non-Gradient Learning Dynamics with Sign-Diverse Plasticitycited by 2
- 2026Overcoming Rank Collapse in Feedback Alignmentcited by 2
- 2021Tourbillon: a Physically Plausible Neural Architecturecited by 1
- 2021Convergence Analysis and Implicit Regularization of Feedback Alignment for Deep Linear Networkscited by 1
- 2022A Computational Framework of Cortical Microcircuits Approximates Sign-concordant Random Backpropagationcited by 1
- 2023A Goal-Driven Approach to Systems Neurosciencecited by 1
- 2024Deep Learning without Weight Symmetrycited by 1
- 2025Spike-based alignment learning solves the weight transport problemcited by 1
- 2025Self-Evidencing Through Hierarchical Gradient Decomposition: A Dissipative System That Maintains Non-Equilibrium Steady-State by Minimizing Variational Free Energycited by 1
- 2026Conditioned Direct Feedback Alignment via Activity and Error Geometrycited by 1
- 2022A comparative study of back propagation and its alternatives on multilayer perceptronscited by 0
- 2023Learning with augmented target information: An alternative theory of Feedback Alignmentcited by 0
- 2023Zenkai -- Framework For Exploring Beyond Backpropagationcited by 0
- 2025Frozen Backpropagation: Relaxing Weight Symmetry in Deep Spiking Neural Networkscited by 0
- 2026Biological Plausibility and Representational Alignment of Feedback Alignment in Convolutional Networkscited by 0
- 2026What Accuracy and Gradient Cosine Miss: Evaluating Feedback Alignment via Scale Stability, Reference Validity, and Depth Utilitycited by 0
- 2026Conditioned Direct Feedback Alignment via Activity and Error Geometry20 Jul 2026
- 2026What Accuracy and Gradient Cosine Miss: Evaluating Feedback Alignment via Scale Stability, Reference Validity, and Depth Utility19 Jun 2026
- 2026Overcoming Rank Collapse in Feedback Alignment9 Jun 2026
- 2026Biological Plausibility and Representational Alignment of Feedback Alignment in Convolutional Networks8 May 2026
- 2025Self-Evidencing Through Hierarchical Gradient Decomposition: A Dissipative System That Maintains Non-Equilibrium Steady-State by Minimizing Variational Free Energy20 Oct 2025
- 2025Curl Descent: Non-Gradient Learning Dynamics with Sign-Diverse Plasticity3 Oct 2025
- 2025Frozen Backpropagation: Relaxing Weight Symmetry in Deep Spiking Neural Networks19 May 2025
- 2025Spike-based alignment learning solves the weight transport problem4 Mar 2025
- 2024Deep Learning without Weight Symmetry31 May 2024
- 2024A Review of Neuroscience-Inspired Machine Learning16 Feb 2024
- 2023Brain-Inspired Machine Intelligence: A Survey of Neurobiologically-Plausible Credit Assignment1 Dec 2023
- 2023Representation Learning in a Decomposed Encoder Design for Bio-inspired Hebbian Learning22 Nov 2023
19 more
- 2023Zenkai -- Framework For Exploring Beyond Backpropagation16 Nov 2023
- 2023A Goal-Driven Approach to Systems Neuroscience5 Nov 2023
- 2023Brain-inspired Computational Intelligence via Predictive Coding15 Aug 2023
- 2023Learning with augmented target information: An alternative theory of Feedback Alignment3 Apr 2023
- 2023Forward Learning with Top-Down Feedback: Empirical and Analytical Characterization10 Feb 2023
- 2023Dual Propagation: Accelerating Contrastive Hebbian Learning with Dyadic Neurons2 Feb 2023
- 2022Learning efficient backprojections across cortical hierarchies in real time20 Dec 2022
- 2022Fixed-Weight Difference Target Propagation19 Dec 2022
- 2022The Influence of Learning Rule on Representation Dynamics in Wide Neural Networks5 Oct 2022
- 2022A comparative study of back propagation and its alternatives on multilayer perceptrons31 May 2022
- 2022A Computational Framework of Cortical Microcircuits Approximates Sign-concordant Random Backpropagation15 May 2022
- 2021How and When Random Feedback Works: A Case Study of Low-Rank Matrix Factorization17 Nov 2021
- 2021Convergence Analysis and Implicit Regularization of Feedback Alignment for Deep Linear Networks20 Oct 2021
- 2021Training Spiking Neural Networks Using Lessons From Deep Learning27 Sep 2021
- 2021Benchmarking the Accuracy and Robustness of Feedback Alignment Algorithms30 Aug 2021
- 2021Tourbillon: a Physically Plausible Neural Architecture13 Jul 2021
- 2021Towards Biologically Plausible Convolutional Networks22 Jun 2021
- 2021Credit Assignment in Neural Networks through Deep Feedback Control15 Jun 2021
- 2021Training Deep Architectures Without End-to-End Backpropagation: A Survey on the Provably Optimal Methods9 Jan 2021
- 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 259
- 2023Brain-inspired Computational Intelligence via Predictive Codingcited by 30
- 2021Credit Assignment in Neural Networks through Deep Feedback Controlcited by 29
- 2022The Influence of Learning Rule on Representation Dynamics in Wide Neural Networkscited by 19
- 2023Brain-Inspired Machine Intelligence: A Survey of Neurobiologically-Plausible Credit Assignmentcited by 15
- 2023Dual Propagation: Accelerating Contrastive Hebbian Learning with Dyadic Neuronscited by 14
- 2021Towards Biologically Plausible Convolutional Networkscited by 13
- 2023Forward Learning with Top-Down Feedback: Empirical and Analytical Characterizationcited by 13
- 2021Benchmarking the Accuracy and Robustness of Feedback Alignment Algorithmscited by 9
- 2022Learning efficient backprojections across cortical hierarchies in real timecited by 8
- 2022Fixed-Weight Difference Target Propagationcited by 6
- 2024A Review of Neuroscience-Inspired Machine Learningcited by 6
12 most cited of 31 All 31 (JSON)
- 2026Conditioned Direct Feedback Alignment via Activity and Error Geometry20 Jul 2026
- 2026What Accuracy and Gradient Cosine Miss: Evaluating Feedback Alignment via Scale Stability, Reference Validity, and Depth Utility19 Jun 2026
- 2026Overcoming Rank Collapse in Feedback Alignment9 Jun 2026
- 2026Biological Plausibility and Representational Alignment of Feedback Alignment in Convolutional Networks8 May 2026
- 2025Self-Evidencing Through Hierarchical Gradient Decomposition: A Dissipative System That Maintains Non-Equilibrium Steady-State by Minimizing Variational Free Energy20 Oct 2025
- 2025Curl Descent: Non-Gradient Learning Dynamics with Sign-Diverse Plasticity3 Oct 2025
- 2025Frozen Backpropagation: Relaxing Weight Symmetry in Deep Spiking Neural Networks19 May 2025
- 2025Spike-based alignment learning solves the weight transport problem4 Mar 2025
- 2024Deep Learning without Weight Symmetry31 May 2024
- 2024A Review of Neuroscience-Inspired Machine Learning16 Feb 2024
- 2023Brain-Inspired Machine Intelligence: A Survey of Neurobiologically-Plausible Credit Assignment1 Dec 2023
- 2023Representation Learning in a Decomposed Encoder Design for Bio-inspired Hebbian Learning22 Nov 2023
12 newest of 31 All 31 (JSON)