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02/02/2019
Complexity, Statistical Risk, and Metric Entropy of Deep Nets Using Total Path Variation
For any ReLU network there is a representation in which the sum of the a...
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09/10/2018
Approximation and Estimation for High-Dimensional Deep Learning Networks
It has been experimentally observed in recent years that multi-layer art...
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02/09/2017
Minimax Lower Bounds for Ridge Combinations Including Neural Nets
Estimation of functions of d variables is considered using ridge combi...
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07/26/2016
Uniform Approximation by Neural Networks Activated by First and Second Order Ridge Splines
We establish sup-norm error bounds for functions that are approximated b...
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07/05/2016