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07/26/2021
High-Dimensional Distribution Generation Through Deep Neural Networks
We show that every d-dimensional probability distribution of bounded sup...
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06/30/2020
Constructive Universal High-Dimensional Distribution Generation through Deep ReLU Networks
We present an explicit deep neural network construction that transforms ...
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01/08/2019
Deep Neural Network Approximation Theory
Deep neural networks have become state-of-the-art technology for a wide ...
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06/05/2018
The universal approximation power of finite-width deep ReLU networks
We show that finite-width deep ReLU neural networks yield rate-distortio...
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03/07/2017