Shallow neural networks with time-frequency localized activations achieve dimension-independent Sobolev approximation rates of order N^{-1/2} for functions in weighted modulation spaces.
Optimal Rates of Approximation by Shallow ReLUk Neural Networks and Applications to Nonparametric Regression
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For 2-layer homogeneous NNs on multi-index models, flattest interpolators achieve low population loss when data is a sum of single-index models with low approximation error and label noise.
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Flatness and Generalization: Learning Multi-Index Models with Homogeneous Neural Networks
For 2-layer homogeneous NNs on multi-index models, flattest interpolators achieve low population loss when data is a sum of single-index models with low approximation error and label noise.