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A Convergence Analysis of Gradient Descent on Graph Neural Networks

NeurIPS 2021 · Optimization › Implicit bias and generalization · approach: Shallow ReLU network convergence · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase graph degree d toward n (d in 5,10,30,80,99)Gradient descent on one-round ReLU GNN · random d-regular graphs n=100l2 loss convergence rateHelped
Use deep linear GNN instead of ReLU GNNGradient descent on GNN · random d-regular graphs n=100l2 loss convergence rateHelped
Vary depth L in 1,2,3deep linear GNN · random d-regular graphs n=100l2 loss convergence rateNo clear effect

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