Optimal approximation of piecewise smooth functions using deep ReLU neural networks.

Neural Networks(2018)

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摘要
We study the necessary and sufficient complexity of ReLU neural networks – in terms of depth and number of weights – which is required for approximating classifier functions in an Lp-sense.
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关键词
Deep neural networks,Piecewise smooth functions,Function approximation,Sparse connectivity,Metric entropy,Curse of dimension
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