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Paper · arXiv

PaLoRA: Paced Low-Rank Adaptation for Continual Learning

LoRA-based continual learning methods mitigate catastrophic forgetting through various mechanisms, yet nearly all complement these with small learning rates as a heuristic to restrict gradient scaling magnitude. Such fixed heuristics lack theoretical guidance on how the strength of this restriction should evolve as tasks accumulate. We reveal that even under directional constraints such as nullspace projection, finite-precision updates inevitably leak into the subspace of accumulated prior knowledge along multiple directions. While small learning rates attenuate such leakage, they cannot prevent the accumulated forgetting from intensifying as the effective rank of historical knowledge gro...

AuthorsYuxuan Li, Fanhu Zeng, Hao Tang
Primary categorycs.LG
Published3 October 2026
Last updated at source3 October 2026
cs.LG
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