arXiv:2512.07400cs.LGcs.AI2025-12被引 1

小缓冲区难防分类失效,大缓冲区才能保准确

Heads collapse, features stay: Why Replay needs big buffers

  • 区分特征遗忘与分类遗忘,揭示小缓冲区无法避免分类性能下降
  • 实验显示小缓冲区导致类别均值膨胀、协方差退化,使分类器失准
  • 适合关注持续学习中缓存策略与模型鲁棒性研究的读者

持续学习中的一个长期矛盾是:神经网络常能保留过去任务的线性可分特征表示,但其输出预测却会失效。我们形式化了深层(特征空间)与浅层(分类器层面)遗忘之间的差距。发现经验回放存在关键不对称性:小缓冲区虽能稳定特征结构、防止深层遗忘,但缓解浅层遗忘需显著更大的缓冲容量。通过将神经坍缩框架扩展至序列场景,我们证明:任何非零回放比例可保证线性可分性的保留;而小缓冲区引发的‘强坍缩’会导致协方差秩不足与类别均值膨胀,使分类器无法识别真实类间边界。本工作将持续学习与分布外检测统一,挑战了依赖大缓冲区的主流范式,提示通过显式校正统计偏差,或可用极小回放实现稳健性能。

原文摘要 · Abstract (English)

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.

持续学习经验回放特征保持

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