Title: Continual Learning In Low-coherence Subspace: A Strategy To Mitigate Learning Capacity Degradation. Abstract: Methods using gradient orthogonal projection, an efficient strategy in continual learning, have achieved promising success in mitigating catastrophic forgetting. However, these methods often suffer from the learning capacity degradation problem following the increasing number of tasks. To address this problem, we propose to learn new tasks in low-coherence subspaces rather than orthogonal subspaces. Specifically, we construct a unified cost function involving regular DNN parameters and gradient projections on the Oblique manifold. We finally develop a gradient descent algorithm on a smooth manifold to jointly minimize the cost function and minimize both the inter-task and the intra-task coherence. Numerical experimental results show that the proposed method has prominent advantages in maintaining the learning capacity when tasks are increased, especially on a large number of tasks, compared with baselines.