# Local plasticity rules can learn deep representations using self-supervised contrastive predictions

arXiv: https://arxiv.org/abs/2010.08262 · HTML: https://mlsanity.com/paper/2010.08262/

## Key facts

- Cited by 47 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Oct 2020.

## Built on by (most cited first, 30 of 47)

- [Self-Supervised Contrastive Pre-Training For Time Series via Time-Frequency Consistency](https://mlsanity.com/paper/2206.08496/) (2022)
- [Hebbian Deep Learning Without Feedback](https://mlsanity.com/paper/2209.11883/) (2022)
- [Learning Efficient Coding of Natural Images with Maximum Manifold Capacity Representations](https://mlsanity.com/paper/2303.03307/) (2023)
- [Blockwise Self-Supervised Learning at Scale](https://mlsanity.com/paper/2302.01647/) (2023)
- [Self-Contrastive Forward-Forward Algorithm](https://mlsanity.com/paper/2409.11593/) (2024)
- [Forward Learning with Top-Down Feedback: Empirical and Analytical Characterization](https://mlsanity.com/paper/2302.05440/) (2023)
- [Neuromorphic Computing and Sensing in Space](https://mlsanity.com/paper/2212.05236/) (2022)
- [Momentum Auxiliary Network for Supervised Local Learning](https://mlsanity.com/paper/2407.05623/) (2024)
- [Self-Supervised Learning Through Efference Copies](https://mlsanity.com/paper/2210.09224/) (2022)
- [Scaling Supervised Local Learning with Augmented Auxiliary Networks](https://mlsanity.com/paper/2402.17318/) (2024)
- [A General Framework for Interpretable Neural Learning based on Local Information-Theoretic Goal Functions](https://mlsanity.com/paper/2306.02149/) (2023)
- [NoProp: Training Neural Networks without Full Back-propagation or Full Forward-propagation](https://mlsanity.com/paper/2503.24322/) (2025)
- [Biologically Plausible Training Mechanisms for Self-Supervised Learning in Deep Networks](https://mlsanity.com/paper/2109.15089/) (2021)
- [Short-Term Plasticity Neurons Learning to Learn and Forget](https://mlsanity.com/paper/2206.14048/) (2022)
- [Block-local learning with probabilistic latent representations](https://mlsanity.com/paper/2305.14974/) (2023)
- [Leveraging dendritic properties to advance machine learning and neuro-inspired computing](https://mlsanity.com/paper/2306.08007/) (2023)
- [Advancing Supervised Local Learning Beyond Classification with Long-term Feature Bank](https://mlsanity.com/paper/2406.00446/) (2024)
- [MLAAN: Scaling Supervised Local Learning with Multilaminar Leap Augmented Auxiliary Network](https://mlsanity.com/paper/2406.16633/) (2024)
- [HPFF: Hierarchical Locally Supervised Learning with Patch Feature Fusion](https://mlsanity.com/paper/2407.05638/) (2024)
- [Flexible Phase Dynamics for Bio-Plausible Contrastive Learning](https://mlsanity.com/paper/2302.12431/) (2023)
- [Towards Interpretable Deep Local Learning with Successive Gradient Reconciliation](https://mlsanity.com/paper/2406.05222/) (2024)
- [Faster Multi-GPU Training with PPLL: A Pipeline Parallelism Framework Leveraging Local Learning](https://mlsanity.com/paper/2411.12780/) (2024)
- [Stochastic Forward-Forward Learning through Representational Dimensionality Compression](https://mlsanity.com/paper/2505.16649/) (2025)
- [Beyond accuracy: generalization properties of bio-plausible temporal credit assignment rules](https://mlsanity.com/paper/2206.00823/) (2022)
- [What should a neuron aim for? Designing local objective functions based on information theory](https://mlsanity.com/paper/2412.02482/) (2024)
- [Beyond Attention: Toward Machines with Intrinsic Higher Mental States](https://mlsanity.com/paper/2505.06257/) (2025)
- [MAN++: Scaling Momentum Auxiliary Network for Supervised Local Learning in Vision Tasks](https://mlsanity.com/paper/2507.16279/) (2025)
- [ElfCore: A 28nm Neural Processor Enabling Dynamic Structured Sparse Training and Online Self-Supervised Learning with Activity-Dependent Weight Update](https://mlsanity.com/paper/2512.21153/) (2025)
- [Learning beyond sensations: how dreams organize neuronal representations](https://mlsanity.com/paper/2308.01830/) (2023)
- [Representation Learning in a Decomposed Encoder Design for Bio-inspired Hebbian Learning](https://mlsanity.com/paper/2401.08603/) (2023)

## Abstract (arXiv)

Learning in the brain is poorly understood and learning rules that respect biological constraints, yet yield deep hierarchical representations, are still unknown. Here, we propose a learning rule that takes inspiration from neuroscience and recent advances in self-supervised deep learning. Learning minimizes a simple layer-specific loss function and does not need to back-propagate error signals within or between layers. Instead, weight updates follow a local, Hebbian, learning rule that only depends on pre- and post-synaptic neuronal activity, predictive dendritic input and widely broadcasted modulation factors which are identical for large groups of neurons. The learning rule applies contrastive predictive learning to a causal, biological setting using saccades (i.e. rapid shifts in gaze direction). We find that networks trained with this self-supervised and local rule build deep hierarchical representations of images, speech and video.
