# Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms

@article{Li2020ComplexityMF, title={Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms}, author={Zhong Li and Chao Ma and Lei Wu}, journal={ArXiv}, year={2020}, volume={abs/2009.06132} }

A simple approach is proposed to obtain complexity controls for neural networks with general activation functions. The approach is motivated by approximating the general activation functions with one-dimensional ReLU networks, which reduces the problem to the complexity controls of ReLU networks. Specifically, we consider two-layer networks and deep residual networks, for which path-based norms are derived to control complexities. We also provide preliminary analyses of the function spaces…

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