Learning where to learn: Gradient sparsity in meta and continual learning
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Abstract (arXiv)
Finding neural network weights that generalize well from small datasets is difficult. A promising approach is to learn a weight initialization such that a small number of weight changes results in low generalization error. We show that this form of meta-learning can be improved by letting the learning algorithm decide which weights to change, i.e., by learning where to learn. We find that patterned sparsity emerges from this process, with the pattern of sparsity varying on a problem-by-problem basis. This selective sparsity results in better generalization and less interference in a range of few-shot and continual learning problems. Moreover, we find that sparse learning also emerges in a more expressive model where learning rates are meta-learned. Our results shed light on an ongoing debate on whether meta-learning can discover adaptable features and suggest that learning by sparse gradient descent is a powerful inductive bias for meta-learning systems.
Key facts. Cited by 33 papers in the map (data through 14 Oct 2026). Builds on 40 of its 68 references that are in the map. First posted on arXiv 27 Oct 2021.
Builds on
40 of 68 references.
References · 40
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 7,005
- 2017Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networkscited by 4,897
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- 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,611
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- 2019A Closer Look at Few-shot Classificationcited by 684
28 more
- 2019Meta-Learning with Implicit Gradientscited by 525
- 2018Learning to Learn without Forgetting by Maximizing Transfer and Minimizing Interferencecited by 521
- 2019Meta-Learning with Differentiable Convex Optimizationcited by 461
- 2018Meta-Learning for Semi-Supervised Few-Shot Classificationcited by 456
- 2017Meta-SGD: Learning to Learn Quickly for Few-Shot Learningcited by 379
- 2019Online Continual Learning with Maximally Interfered Retrievalcited by 379
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- 2019Meta-Learning Representations for Continual Learningcited by 189
- 2019Meta-Learning with Warped Gradient Descentcited by 98
- 2019Meta-Curvaturecited by 70
- 2018Understanding Short-Horizon Bias in Stochastic Meta-Optimizationcited by 69
- 2017FreezeOut: Accelerate Training by Progressively Freezing Layerscited by 54
- 2019Task Agnostic Continual Learning via Meta Learningcited by 53
- 2019Torchmeta: A Meta-Learning library for PyTorchcited by 52
- 2020La-MAML: Look-ahead Meta Learning for Continual Learningcited by 52
- 2020TaskNorm: Rethinking Batch Normalization for Meta-Learningcited by 51
- 2021Fast and Slow Learning of Recurrent Independent Mechanismscited by 36
- 2020Task Agnostic Continual Learning Using Online Variational Bayes with Fixed-Point Updatescited by 34
- 2019Modular Meta-Learning with Shrinkagecited by 31
- 2018Been There, Done That: Meta-Learning with Episodic Recallcited by 26
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- 2019Meta-descent for Online, Continual Predictioncited by 10
- 2019Learning Feature Relevance Through Step Size Adaptation in Temporal-Difference Learningcited by 2
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Citing papers per year: 2021: 1; 2022: 14; 2023: 7; 2024: 6; 2025: 4; 2026: 1.
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- 2024Prototype Optimization with Neural ODE for Few-Shot Learning19 Nov 2024
- 2024Enhancing Few-Shot Image Classification through Learnable Multi-Scale Embedding and Attention Mechanisms12 Sep 2024
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- 2023Competitive plasticity to reduce the energetic costs of learning4 Apr 2023
- 2023Meta-Learning with a Geometry-Adaptive Preconditioner4 Apr 2023
- 2022Lifelong Reinforcement Learning with Modulating Masks21 Dec 2022
- 2022Transformers learn in-context by gradient descent15 Dec 2022
- 2022Meta-Learning via Classifier(-free) Diffusion Guidance17 Oct 2022
- 2022Meta-Learning with Self-Improving Momentum Target11 Oct 2022
- 2022How to Reuse and Compose Knowledge for a Lifetime of Tasks: A Survey on Continual Learning and Functional Composition15 Jul 2022
- 2022Continual Learning of Dynamical Systems with Competitive Federated Reservoir Computing27 Jun 2022
- 2022p-Meta: Towards On-device Deep Model Adaptation25 Jun 2022
- 2022Remember the Past: Distilling Datasets into Addressable Memories for Neural Networks6 Jun 2022
- 2022Robust Meta-learning with Sampling Noise and Label Noise via Eigen-Reptile4 Jun 2022
- 2022Meta-ticket: Finding optimal subnetworks for few-shot learning within randomly initialized neural networks31 May 2022
- 2022Meta-Learning Sparse Compression Networks18 May 2022
- 2022New Insights on Reducing Abrupt Representation Change in Online Continual Learning8 Mar 2022
- 2022Continuous-Time Meta-Learning with Forward Mode Differentiation2 Mar 2022
- 2022Continual Feature Selection: Spurious Features in Continual Learning2 Mar 2022
- 2021Continual Learning via Local Module Composition15 Nov 2021
- 2022Transformers learn in-context by gradient descentcited by 732
- 2022Remember the Past: Distilling Datasets into Addressable Memories for Neural Networkscited by 104
- 2021Continual Learning via Local Module Compositioncited by 63
- 2022How to Reuse and Compose Knowledge for a Lifetime of Tasks: A Survey on Continual Learning and Functional Compositioncited by 27
- 2023Catastrophic Forgetting in Deep Learning: A Comprehensive Taxonomycited by 24
- 2022Meta-Learning Sparse Compression Networkscited by 22
- 2022Lifelong Reinforcement Learning with Modulating Maskscited by 22
- 2022Continuous-Time Meta-Learning with Forward Mode Differentiationcited by 12
- 2023When Meta-Learning Meets Online and Continual Learning: A Surveycited by 12
- 2023Meta-Learning with a Geometry-Adaptive Preconditionercited by 11
- 2022Meta-Learning with Self-Improving Momentum Targetcited by 9
- 2023Online Continual Learning for Robust Indoor Object Recognitioncited by 9
12 most cited of 28 All 28 (JSON)
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- 2025Learnable Loss Geometries with Mirror Descent for Scalable and Convergent Meta-Learning2 Sep 2025
- 2025Meta-Continual Learning of Neural Fields8 Apr 2025
- 2024Task-Specific Preconditioner for Cross-Domain Few-Shot Learning20 Dec 2024
- 2024Prototype Optimization with Neural ODE for Few-Shot Learning19 Nov 2024
- 2024Enhancing Few-Shot Image Classification through Learnable Multi-Scale Embedding and Attention Mechanisms12 Sep 2024
- 2024Learning to Learn without Forgetting using Attention6 Aug 2024
- 2024Seq-to-Final: A Benchmark for Tuning from Sequential Distributions to a Final Time Point12 Jul 2024
- 2024Unleashing the Power of Meta-tuning for Few-shot Generalization Through Sparse Interpolated Experts13 Mar 2024
- 2023Catastrophic Forgetting in Deep Learning: A Comprehensive Taxonomy16 Dec 2023
- 2023When Meta-Learning Meets Online and Continual Learning: A Survey9 Nov 2023
- 2023Online Continual Learning for Robust Indoor Object Recognition19 Jul 2023
12 newest of 28 All 28 (JSON)