mlsanityData to 14 Oct 2026

Heads collapse, features stay: Why Replay needs big buffers

arXiv 2512.07400 ↗First posted 8 Dec 2025cs.LG cs.AIcited by 1

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Abstract (arXiv)

A persistent paradox in continual learning (CL) is that neural networks often retain linearly separable representations of past tasks even when their output predictions fail. We formalize this distinction as the gap between deep (feature-space) and shallow (classifier-level) forgetting. We reveal a critical asymmetry in Experience Replay: while minimal buffers successfully anchor feature geometry and prevent deep forgetting, mitigating shallow forgetting typically requires substantially larger buffer capacities. To explain this, we extend the Neural Collapse framework to the sequential setting. We characterize deep forgetting as a geometric drift toward out-of-distribution subspaces and prove that any non-zero replay fraction asymptotically guarantees the retention of linear separability. Conversely, we identify that the ``strong collapse'' induced by small buffers leads to rank-deficient covariances and inflated class means, effectively blinding the classifier to true population boundaries. By unifying CL with out-of-distribution detection, our work challenges the prevailing reliance on large buffers, suggesting that explicitly correcting these statistical artifacts could unlock robust performance with minimal replay.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 26 of its 36 references that are in the map. First posted on arXiv 8 Dec 2025.

Builds on

26 of 36 references.

References · 26

  1. 2016A Baseline for Detecting Misclassified and Out-of-Distribution Examples in Neural Networkscited by 2,385
  2. 2017Gradient Episodic Memory for Continual Learningcited by 1,898
  3. 2020Dark Experience for General Continual Learning: a Strong, Simple Baselinecited by 911
  4. 2020Prevalence of Neural Collapse during the terminal phase of deep learning trainingcited by 719
  5. 2021Exploring Deep Neural Networks via Layer-Peeled Model: Minority Collapse in Imbalanced Trainingcited by 166
  6. 2020Anatomy of Catastrophic Forgetting: Hidden Representations and Task Semanticscited by 161
  7. 2021Self-Supervised Models are Continual Learnerscited by 149
  8. 2020Neural collapse with unconstrained featurescited by 142
  9. 2023Neural Collapse Inspired Feature-Classifier Alignment for Few-Shot Class Incremental Learningcited by 116
  10. 2022Extended Unconstrained Features Model for Exploring Deep Neural Collapsecited by 102
  11. 2022Probing Representation Forgetting in Supervised and Unsupervised Continual Learningcited by 76
  12. 2022Limitations of Neural Collapse for Understanding Generalization in Deep Learningcited by 63
14 more
  1. 2023NECO: NEural Collapse Based Out-of-distribution detectioncited by 42
  2. 2023Neural Collapse in Deep Linear Networks: From Balanced to Imbalanced Datacited by 40
  3. 2023Generalized Neural Collapse for a Large Number of Classescited by 39
  4. 2023Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Datacited by 38
  5. 2024Linguistic Collapse: Neural Collapse in (Large) Language Modelscited by 38
  6. 2022Linking Neural Collapse and L2 Normalization with Improved Out-of-Distribution Detection in Deep Neural Networkscited by 23
  7. 2023Knowledge Accumulation in Continually Learned Representations and the Issue of Feature Forgettingcited by 16
  8. 2024Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapsecited by 16
  9. 2023Generalizing and Decoupling Neural Collapse via Hyperspherical Uniformity Gapcited by 14
  10. 2025Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformerscited by 10
  11. 2024Memory-efficient Continual Learning with Neural Collapse Contrastivecited by 8
  12. 2022Feature Forgetting in Continual Representation Learningcited by 6
  13. 2024Exploring the Stability Gap in Continual Learning: The Role of the Classification Headcited by 4
  14. 2025Rethinking Continual Learning with Progressive Neural Collapsecited by 4

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