135 citations · 282 across the 11 of their papers we have counts for
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stat.ML2021★ 32 cited
Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks
Rahul Parhi, Robert D. Nowak
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 p…
stat.ML2021★ 40 cited
What Kinds of Functions do Deep Neural Networks Learn? Insights from Variational Spline Theory
Rahul Parhi, Robert D. Nowak
We develop a variational framework to understand the properties of functions learned by fitting deep neural networks with rectified linear unit activations to data. We propose a ne…