Wide Neural Networks Forget Less Catastrophically
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Abstract (arXiv)
A primary focus area in continual learning research is alleviating the "catastrophic forgetting" problem in neural networks by designing new algorithms that are more robust to the distribution shifts. While the recent progress in continual learning literature is encouraging, our understanding of what properties of neural networks contribute to catastrophic forgetting is still limited. To address this, instead of focusing on continual learning algorithms, in this work, we focus on the model itself and study the impact of "width" of the neural network architecture on catastrophic forgetting, and show that width has a surprisingly significant effect on forgetting. To explain this effect, we study the learning dynamics of the network from various perspectives such as gradient orthogonality, sparsity, and lazy training regime. We provide potential explanations that are consistent with the empirical results across different architectures and continual learning benchmarks.
Key facts. Cited by 64 papers in the map (data through 14 Oct 2026). Builds on 51 of its 69 references that are in the map. First posted on arXiv 21 Oct 2021.
Builds on
51 of 69 references.
References · 51
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- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 30,186
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- 2016Wide Residual Networkscited by 3,070
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- 2016Progressive Neural Networkscited by 1,361
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- 2017Memory Aware Synapses: Learning what (not) to forgetcited by 1,105
- 2018Experience Replay for Continual Learningcited by 1,095
- 2018Efficient Lifelong Learning with A-GEMcited by 1,058
- 2019Wide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descentcited by 738
- 2013An Empirical Investigation of Catastrophic Forgetting in Gradient-Based Neural Networkscited by 722
- 2017Lifelong Learning with Dynamically Expandable Networkscited by 694
- 2018An Empirical Study of Example Forgetting during Deep Neural Network Learningcited by 678
- 2018On Lazy Training in Differentiable Programmingcited by 675
- 2018Gradient Descent Finds Global Minima of Deep Neural Networkscited by 574
- 2019On Exact Computation with an Infinitely Wide Neural Netcited by 573
- 2018Learning to Learn without Forgetting by Maximizing Transfer and Minimizing Interferencecited by 521
- 2016Expert Gate: Lifelong Learning with a Network of Expertscited by 372
- 2019Orthogonal Gradient Descent for Continual Learningcited by 369
- 2017PathNet: Evolution Channels Gradient Descent in Super Neural Networkscited by 364
- 2018Learning and Generalization in Overparameterized Neural Networks, Going Beyond Two Layerscited by 340
- 2017Variational Continual Learningcited by 339
- 2019Learn to Grow: A Continual Structure Learning Framework for Overcoming Catastrophic Forgettingcited by 302
- 2018Re-evaluating Continual Learning Scenarios: A Categorization and Case for Strong Baselinescited by 228
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- 2019Meta-Learning Representations for Continual Learningcited by 189
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- 2019Functional Regularisation for Continual Learning with Gaussian Processescited by 123
- 2020A Theoretical Analysis of Catastrophic Forgetting through the NTK Overlap Matrixcited by 103
- 2020Continual Learning in Low-rank Orthogonal Subspacescited by 99
- 2020Efficient Continual Learning with Modular Networks and Task-Driven Priorscited by 88
- 2020Learning to Continually Learncited by 84
- 2019Toward Understanding Catastrophic Forgetting in Continual Learningcited by 68
- 2018Modular meta-learningcited by 51
- 2018Automatically Composing Representation Transformations as a Means for Generalizationcited by 35
- 2021Dynamic Language Models for Continuously Evolving Contentcited by 27
- 2020The Effectiveness of Memory Replay in Large Scale Continual Learningcited by 26
- 2020Dropout as an Implicit Gating Mechanism For Continual Learningcited by 24
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Citing papers per year: 2022: 7; 2023: 16; 2024: 14; 2025: 17; 2026: 10.
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- 2025Beyond Cosine Decay: On the effectiveness of Infinite Learning Rate Schedule for Continual Pre-training4 Mar 2025
- 2025Analysis of Overparameterization in Continual Learning under a Linear Model11 Feb 2025
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- 2024LoRanPAC: Low-rank Random Features and Pre-trained Models for Bridging Theory and Practice in Continual Learning1 Oct 2024
- 2024Continual learning with the neural tangent ensemble30 Aug 2024
- 2024Overcoming Growth-Induced Forgetting in Task-Agnostic Continual Learning20 Aug 2024
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- 2024Demystifying Language Model Forgetting with Low-rank Example Associations20 Jun 2024
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- 2023Diagnosing Catastrophe: Large parts of accuracy loss in continual learning can be accounted for by readout misalignment9 Oct 2023
- 2023Elephant Neural Networks: Born to Be a Continual Learner2 Oct 2023
- 2023On the Disconnect Between Theory and Practice of Neural Networks: Limits of the NTK Perspective29 Sep 2023
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- 2023Continual Learning as Computationally Constrained Reinforcement Learning10 Jul 2023
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- 2026On the Plasticity Collapse in Continual Machine Unlearning30 Aug 2026
- 2023A Comprehensive Survey of Continual Learning: Theory, Method and Applicationcited by 872
- 2024Continual Learning of Large Language Models: A Comprehensive Surveycited by 234
- 2022Memorization Without Overfitting: Analyzing the Training Dynamics of Large Language Modelscited by 220
- 2024Simple and Scalable Strategies to Continually Pre-train Large Language Modelscited by 127
- 2022How catastrophic can catastrophic forgetting be in linear regression?cited by 81
- 2022Architecture Matters in Continual Learningcited by 46
- 2022CoSCL: Cooperation of Small Continual Learners is Stronger than a Big Onecited by 43
- 2023Continual Learning as Computationally Constrained Reinforcement Learningcited by 37
- 2023The Ideal Continual Learner: An Agent That Never Forgetscited by 35
- 2023Predicting Grokking Long Before it Happens: A look into the loss landscape of models which grokcited by 35
- 2023The Tunnel Effect: Building Data Representations in Deep Neural Networkscited by 34
- 2022Analysis of Catastrophic Forgetting for Random Orthogonal Transformation Tasks in the Overparameterized Regimecited by 29
12 most cited of 57 All 57 (JSON)
- 2026The Sequential Price of Continual Learning30 Aug 2026
- 2026Convergence of Continual Learning in Homogeneous Deep Networks29 Jun 2026
- 2026Architecture-driven Shift: towards a lightweight selector for capturing the trends of logit shift26 May 2026
- 2026NORACL: Neurogenesis for Oracle-free Resource-Adaptive Continual Learning29 Apr 2026
- 2026Same Methods, Different Rankings: Trainable Depth as an Evaluation Variable in Continual Learning23 Apr 2026
- 2026Structural Abstraction as an Inductive Bias for Non-Stationary Language Model Training17 Mar 2026
- 2026Continual Uncertainty Learning for Robust Control of Nonlinear Systems with Multiple Heterogeneous Uncertainties19 Feb 2026
- 2025The Unreasonable Effectiveness of Randomized Representations in Online Continual Graph Learning8 Oct 2025
- 2025On the Theory of Continual Learning with Gradient Descent for Neural Networks7 Oct 2025
- 2025On Understanding of the Dynamics of Model Capacity in Continual Learning11 Aug 2025
- 2025Online Continual Graph Learning5 Aug 2025
- 2025Asymptotic convexity of wide and shallow neural networks23 Jun 2025
12 newest of 57 All 57 (JSON)