shortcut connection
Towards Understanding the Importance of Shortcut Connections in Residual Networks
Residual Network (ResNet) is undoubtedly a milestone in deep learning. ResNet is equipped with shortcut connections between layers, and exhibits efficient training using simple first order algorithms. Despite of the great empirical success, the reason behind is far from being well understood. In this paper, we study a two-layer non-overlapping convolutional ResNet. Training such a network requires solving a non-convex optimization problem with a spurious local optimum. We show, however, that gradient descent combined with proper normalization, avoids being trapped by the spurious local optimum, and converges to a global optimum in polynomial time, when the weight of the first layer is initialized at 0, and that of the second layer is initialized arbitrarily in a ball. Numerical experiments are provided to support our theory.
Supplementary Materials: Rethinking Alignment in Video Super-Resolution Transformers
The proposed patch alignment method can also be applied to the recurrent VSR framework. VSR and have achieved the state-of-the-art performance. Transformer backbone, we can easily build a recurrent VSR Transformer. Alignment modules are not absent in the existing recurrent methods. The feature size is set to 100, and the number of attention heads is 4. The baseline is the original BasicVSR++ model that uses FGDC and CNN backbone.