Neural DDEs are universal approximators only when the product of Lipschitz constant and delay is large enough; small memory capacity makes them behave like non-universal neural ODEs.
ResNet or DenseNet? Introducing Dense Shortcuts to ResNet
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
ResNet or DenseNet? Nowadays, most deep learning based approaches are implemented with seminal backbone networks, among them the two arguably most famous ones are ResNet and DenseNet. Despite their competitive performance and overwhelming popularity, inherent drawbacks exist for both of them. For ResNet, the identity shortcut that stabilizes training also limits its representation capacity, while DenseNet has a higher capacity with multi-layer feature concatenation. However, the dense concatenation causes a new problem of requiring high GPU memory and more training time. Partially due to this, it is not a trivial choice between ResNet and DenseNet. This paper provides a unified perspective of dense summation to analyze them, which facilitates a better understanding of their core difference. We further propose dense weighted normalized shortcuts as a solution to the dilemma between them. Our proposed dense shortcut inherits the design philosophy of simple design in ResNet and DenseNet. On several benchmark datasets, the experimental results show that the proposed DSNet achieves significantly better results than ResNet, and achieves comparable performance as DenseNet but requiring fewer computation resources.
fields
math.DS 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
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The Influence of the Memory Capacity of Neural DDEs on the Universal Approximation Property
Neural DDEs are universal approximators only when the product of Lipschitz constant and delay is large enough; small memory capacity makes them behave like non-universal neural ODEs.