• Corpus ID: 237571381

# Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks

@article{Parhi2021NearMinimaxOE,
title={Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks},
author={Rahul Parhi and Robert D. Nowak},
journal={ArXiv},
year={2021},
volume={abs/2109.08844}
}
• Published 18 September 2021
• Computer Science, Mathematics
• ArXiv
—We study the problem of estimating an unknown function from noisy data using shallow ReLU neural networks. The estimators we study minimize the sum of squared data-ﬁtting errors plus a regularization term proportional to the squared Euclidean norm of the network weights. This minimization corresponds to the common approach of training a neural network with weight decay. We quantify the performance (mean- squared error) of these neural network estimators when the data-generating function…

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