For one-hidden-layer equivariant networks, generalization bounds depend only on filter norms and the sample size, while suitable weight sharing can match equivariance and locality adds an extra gain.
Group invariant scattering
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On the Sample Complexity of One Hidden Layer Networks with Equivariance, Locality and Weight Sharing
For one-hidden-layer equivariant networks, generalization bounds depend only on filter norms and the sample size, while suitable weight sharing can match equivariance and locality adds an extra gain.