Divide and Conquer: Static-Dynamic Collaboration for Few-Shot Class-Incremental Learning
Kexin Bao, Daichi Zhang, Yong Li, Dan Zeng, Shiming Ge · 2025
Continual learning systems suffer from catastrophic forgetting, where updates for new tasks destructively interfere with previously acquired knowledge. Recent empirical advances—including flatness-based optimization, static–dynamic architectural decomposition, and probabilistic reg- ularization— have demonstrated strong mitigation of forgetting. However, a unified structural explanation for why these methods succeed remains underdeveloped. This paper proposes a constraint geometry perspective on representation updates in continual learning. We argue that catastrophic forgetting can be interpreted as a curvature-induced vio- lation of constraint-preserving update dynamics. Under this view, successful continual learning methods implicitly regulate update directions in high-curvature regions of the loss landscape. Rather than introducing a new algorithm, this work provides a structural interpretation that clarifies why diverse empirical strategies succeed. Identifying and preserving geometric constraints during gradient-based updates may serve as a guiding principle for future continual learning research.