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Stability & Generalisation of Gradient Descent for Shallow Neural Networks without the Neural Tangent Kernel

NeurIPS 2021 · Optimization › Implicit bias and generalization · approach: Shallow ReLU network convergence · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use early stopping with T=n^α, α∈(0,1)Gradient Descent on shallow neural networks with label noise · Well-specified regression with label noisestatistical riskHelped
Control risk using the closest-to-initialization empirical-risk minimizer rather than relaxing to the NTK solutionGradient Descent on shallow neural networks · Regression without label noisestatistical risk boundHelped
Increase network width to satisfy m≳(ηT)^5Gradient Descent on shallow neural networks · Generalisation and risk boundsgeneralisation gapHelped

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