Dropout网络逼近Sobolev单位球的置信界研究

1. 12:00
   arXiv · Machine Learning Theory

   Dropout 神经网络的逼近性质：Sobolev 收敛率与置信界

   该研究分析以概率 p 独立保留边的 ReLU 网络对 W^{n,∞}([0,1]^d) 单位球的逼近，给出以至少 1-δ 概率成立的一致误差上界，构造出常数深度、规模 Õ_{n,d}(p^{-9}ε^{-max{d/n,2}} log(1/δ)) 的网络。

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