Putting An End to End-to-End: Gradient-Isolated Learning of Representations
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Abstract (arXiv)
We propose a novel deep learning method for local self-supervised representation learning that does not require labels nor end-to-end backpropagation but exploits the natural order in data instead. Inspired by the observation that biological neural networks appear to learn without backpropagating a global error signal, we split a deep neural network into a stack of gradient-isolated modules. Each module is trained to maximally preserve the information of its inputs using the InfoNCE bound from Oord et al. [2018]. Despite this greedy training, we demonstrate that each module improves upon the output of its predecessor, and that the representations created by the top module yield highly competitive results on downstream classification tasks in the audio and visual domain. The proposal enables optimizing modules asynchronously, allowing large-scale distributed training of very deep neural networks on unlabelled datasets.
Key facts. Cited by 85 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 May 2019.
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Citing papers per year: 2021: 17; 2022: 16; 2023: 22; 2024: 14; 2025: 6; 2026: 10.
85 papers.
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- 2022The Forward-Forward Algorithm: Some Preliminary Investigationscited by 262
- 2021Unsupervised Representation Learning for Time Series with Temporal Neighborhood Codingcited by 223
- 2021A Good Image Generator Is What You Need for High-Resolution Video Synthesiscited by 162
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- 2021Revisiting Locally Supervised Learning: an Alternative to End-to-end Trainingcited by 71
- 2022Scaling Forward Gradient With Local Lossescited by 65
- 2022Hebbian Deep Learning Without Feedbackcited by 61
- 2021Reconsidering Representation Alignment for Multi-view Clusteringcited by 57
- 2024Training of Physical Neural Networkscited by 47
- 2023Masked Image Modeling with Local Multi-Scale Reconstructioncited by 43
- 2021CLCC: Contrastive Learning for Color Constancycited by 29
38 more
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- 2023Can Forward Gradient Match Backpropagation?cited by 26
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- 2021Contrastive Predictive Coding for Anomaly Detectioncited by 10
- 2023The Trifecta: Three simple techniques for training deeper Forward-Forward networkscited by 10
- 2022Production federated keyword spotting via distillation, filtering, and joint federated-centralized trainingcited by 9
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- 2021AdaSplit: Adaptive Trade-offs for Resource-constrained Distributed Deep Learningcited by 8
- 2022First Contact: Unsupervised Human-Machine Co-Adaptation via Mutual Information Maximizationcited by 8
- 2023A General Framework for Interpretable Neural Learning based on Local Information-Theoretic Goal Functionscited by 8
- 2023Improving equilibrium propagation without weight symmetry through Jacobian homeostasiscited by 8
- 2024End-to-End Training Induces Information Bottleneck through Layer-Role Differentiation: A Comparative Analysis with Layer-wise Trainingcited by 8
- 2024Scaling Supervised Local Learning with Augmented Auxiliary Networkscited by 8
- 2025NoProp: Training Neural Networks without Full Back-propagation or Full Forward-propagationcited by 8
- 2022Low-Variance Forward Gradients using Direct Feedback Alignment and Momentumcited by 7
- 2023Aggregating Capacity in FL through Successive Layer Training for Computationally-Constrained Devicescited by 7
- 2023Synaptic Plasticity Models and Bio-Inspired Unsupervised Deep Learning: A Surveycited by 7
- 2024E2USD: Efficient-yet-effective Unsupervised State Detection for Multivariate Time Seriescited by 7
- 2021Biologically Plausible Training Mechanisms for Self-Supervised Learning in Deep Networkscited by 6
- 2023Block-local learning with probabilistic latent representationscited by 6
- 2021Training Deep Architectures Without End-to-End Backpropagation: A Survey on the Provably Optimal Methodscited by 5
- 2021Gradient Forward-Propagation for Large-Scale Temporal Video Modellingcited by 5
- 2022Short-Term Plasticity Neurons Learning to Learn and Forgetcited by 5
- 2024MLAAN: Scaling Supervised Local Learning with Multilaminar Leap Augmented Auxiliary Networkcited by 5
- 2024HPFF: Hierarchical Locally Supervised Learning with Patch Feature Fusioncited by 5
- 2023Module-wise Training of Neural Networks via the Minimizing Movement Schemecited by 4
- 2024Towards Interpretable Deep Local Learning with Successive Gradient Reconciliationcited by 4
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- 2021Progressive Stage-wise Learning for Unsupervised Feature Representation Enhancementcited by 3
- 2021Incremental Layer-wise Self-Supervised Learning for Efficient Speech Domain Adaptation On Devicecited by 3
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50 most cited of 85 All 85 (JSON)
- 2026Increasing Width Allows Greedy Layer-wise Training to Rival End-to-End Backpropagation in Self-Supervised Learning30 Sep 2026
- 2026SOLO: Pretraining Billion-Parameter Language Models with Shared-Output Local Learning28 Sep 2026
- 2026The Price of Locality: Why Forward-Forward Underperforms Backpropagation?27 Sep 2026
- 2026LocalProp: Neuro-Localized Memory-Efficient Backpropagation26 Sep 2026
- 2026Gauge-Fixing the Forward-Forward Objective: A Whitened Goodness Derived from a Likelihood-Ratio Account14 Jul 2026
- 2026Forget, Anticipate and Adapt: Test Time Training for Long Videos25 Jun 2026
- 2026When Does Margin Clamping Affect Training Variance? Dataset-Dependent Effects in Contrastive Forward-Forward Learning1 Mar 2026
- 2026Can Local Learning Match Self-Supervised Backpropagation?29 Jan 2026
- 2026SCPL: Enhancing Neural Network Training Throughput with Decoupled Local Losses and Model Parallelism20 Jan 2026
- 2026Depth-Wise Representation Development Under Blockwise Self-Supervised Learning for Video Vision Transformers14 Jan 2026
- 2025MAN++: Scaling Momentum Auxiliary Network for Supervised Local Learning in Vision Tasks22 Jul 2025
- 2025Stochastic Forward-Forward Learning through Representational Dimensionality Compression22 May 2025
38 more
- 2025The Forward-Forward Algorithm: Characterizing Training Behavior15 Apr 2025
- 2025NoProp: Training Neural Networks without Full Back-propagation or Full Forward-propagation31 Mar 2025
- 2025Efficient Post-Hoc Uncertainty Calibration via Variance-Based Smoothing19 Mar 2025
- 2025Mono-Forward: Revisiting Forward-Forward through Objective-Locality Decomposition16 Jan 2025
- 2024What should a neuron aim for? Designing local objective functions based on information theory3 Dec 2024
- 2024Asynchronous Perception Machine For Efficient Test-Time-Training27 Oct 2024
- 2024Smooth InfoMax -- Towards Easier Post-Hoc Interpretability23 Aug 2024
- 2024HPFF: Hierarchical Locally Supervised Learning with Patch Feature Fusion8 Jul 2024
- 2024Momentum Auxiliary Network for Supervised Local Learning8 Jul 2024
- 2024MLAAN: Scaling Supervised Local Learning with Multilaminar Leap Augmented Auxiliary Network24 Jun 2024
- 2024Towards Interpretable Deep Local Learning with Successive Gradient Reconciliation7 Jun 2024
- 2024Training of Physical Neural Networks5 Jun 2024
- 2024EchoSpike Predictive Plasticity: An Online Local Learning Rule for Spiking Neural Networks22 May 2024
- 2024Masked Image Modeling as a Framework for Self-Supervised Learning across Eye Movements12 Apr 2024
- 2024Scaling Supervised Local Learning with Augmented Auxiliary Networks27 Feb 2024
- 2024E2USD: Efficient-yet-effective Unsupervised State Detection for Multivariate Time Series21 Feb 2024
- 2024End-to-End Training Induces Information Bottleneck through Layer-Role Differentiation: A Comparative Analysis with Layer-wise Training14 Feb 2024
- 2024FedImpro: Measuring and Improving Client Update in Federated Learning10 Feb 2024
- 2023Unlocking Deep Learning: A BP-Free Approach for Parallel Block-Wise Training of Neural Networks20 Dec 2023
- 2023Layerwise complexity-matched learning yields an improved model of cortical area V218 Dec 2023
- 2023Go beyond End-to-End Training: Boosting Greedy Local Learning with Context Supply12 Dec 2023
- 2023The Trifecta: Three simple techniques for training deeper Forward-Forward networks29 Nov 2023
- 2023BIM: Block-Wise Self-Supervised Learning with Masked Image Modeling28 Nov 2023
- 2023Representation Learning in a Decomposed Encoder Design for Bio-inspired Hebbian Learning22 Nov 2023
- 2023Leader-Follower Neural Networks with Local Error Signals Inspired by Complex Collectives11 Oct 2023
- 2023Module-wise Training of Neural Networks via the Minimizing Movement Scheme29 Sep 2023
- 2023Uncovering mesa-optimization algorithms in Transformers11 Sep 2023
- 2023Improving equilibrium propagation without weight symmetry through Jacobian homeostasis5 Sep 2023
- 2023Layer-wise training for self-supervised learning on graphs4 Sep 2023
- 2023MOLE: MOdular Learning FramEwork via Mutual Information Maximization15 Aug 2023
- 2023Synaptic Plasticity Models and Bio-Inspired Unsupervised Deep Learning: A Survey30 Jul 2023
- 2023Using Linear Regression for Iteratively Training Neural Networks11 Jul 2023
- 2023DUET: 2D Structured and Approximately Equivariant Representations28 Jun 2023
- 2023Can Forward Gradient Match Backpropagation?12 Jun 2023
- 2023A General Framework for Interpretable Neural Learning based on Local Information-Theoretic Goal Functions3 Jun 2023
- 2023Aggregating Capacity in FL through Successive Layer Training for Computationally-Constrained Devices26 May 2023
- 2023Block-local learning with probabilistic latent representations24 May 2023
- 2023Building artificial neural circuits for domain-general cognition: a primer on brain-inspired systems-level architecture21 Mar 2023
50 newest of 85 All 85 (JSON)
- 2022The Forward-Forward Algorithm: Some Preliminary Investigationscited by 262
- 2021Unsupervised Representation Learning for Time Series with Temporal Neighborhood Codingcited by 223
- 2021A Good Image Generator Is What You Need for High-Resolution Video Synthesiscited by 162
- 2023Uncovering mesa-optimization algorithms in Transformerscited by 94
- 2021Greedy Hierarchical Variational Autoencoders for Large-Scale Video Predictioncited by 75
- 2021Revisiting Locally Supervised Learning: an Alternative to End-to-end Trainingcited by 71
- 2022Scaling Forward Gradient With Local Lossescited by 65
- 2022Hebbian Deep Learning Without Feedbackcited by 61
- 2021Reconsidering Representation Alignment for Multi-view Clusteringcited by 57
- 2024Training of Physical Neural Networkscited by 47
- 2023Masked Image Modeling with Local Multi-Scale Reconstructioncited by 43
- 2021CLCC: Contrastive Learning for Color Constancycited by 29
12 most cited of 85 All 85 (JSON)
- 2026Increasing Width Allows Greedy Layer-wise Training to Rival End-to-End Backpropagation in Self-Supervised Learning30 Sep 2026
- 2026SOLO: Pretraining Billion-Parameter Language Models with Shared-Output Local Learning28 Sep 2026
- 2026The Price of Locality: Why Forward-Forward Underperforms Backpropagation?27 Sep 2026
- 2026LocalProp: Neuro-Localized Memory-Efficient Backpropagation26 Sep 2026
- 2026Gauge-Fixing the Forward-Forward Objective: A Whitened Goodness Derived from a Likelihood-Ratio Account14 Jul 2026
- 2026Forget, Anticipate and Adapt: Test Time Training for Long Videos25 Jun 2026
- 2026When Does Margin Clamping Affect Training Variance? Dataset-Dependent Effects in Contrastive Forward-Forward Learning1 Mar 2026
- 2026Can Local Learning Match Self-Supervised Backpropagation?29 Jan 2026
- 2026SCPL: Enhancing Neural Network Training Throughput with Decoupled Local Losses and Model Parallelism20 Jan 2026
- 2026Depth-Wise Representation Development Under Blockwise Self-Supervised Learning for Video Vision Transformers14 Jan 2026
- 2025MAN++: Scaling Momentum Auxiliary Network for Supervised Local Learning in Vision Tasks22 Jul 2025
- 2025Stochastic Forward-Forward Learning through Representational Dimensionality Compression22 May 2025
12 newest of 85 All 85 (JSON)