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20132026
most citedTowards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't

50 citations · 193 across the 27 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

stat.ML2022

Optimal bump functions for shallow ReLU networks: Weight decay, depth separation and the curse of dimensionality

Stephan Wojtowytsch

In this note, we study how neural networks with a single hidden layer and ReLU activation interpolate data drawn from a radially symmetric distribution with target labels 1 at the…

cs.LG2022

Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation

Josiah Park, Stephan Wojtowytsch

In this article, we prove approximation theorems in classes of deep and shallow neural networks with analytic activation functions by elementary arguments. We prove for both real a…