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On the Power of Over-parametrization in Neural Networks with Quadratic Activation

ICML 2018 · Architectures and efficiency › RNNs and normalization · approach: Theory of depth and width · 152 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use width k ≥ dQuadratic-activation shallow network · Arbitrary training datasetloss landscapeHelped
Use width k with k(k+1)/2 > n and add an arbitrarily small random PSD perturbationQuadratic-activation shallow network with k < d · Arbitrary training datasetloss landscapeHelped
Apply weight decay to bound the weight Frobenius normQuadratic-activation shallow network · Gaussian inputsgeneralization gapHelped

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