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Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks

ICML 2019 · Optimization › Implicit bias and generalization · approach: Shallow ReLU network convergence · 220 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use true labels instead of random labelsTwo-layer ReLU network trained by gradient descent · MNISTtraining convergence rateHelped
Use true labels instead of random labelsTwo-layer ReLU network trained by gradient descent · CIFARtraining convergence rateHelped
Align labels with the eigenvector corresponding to the least eigenvalueTwo-layer ReLU network trained by gradient descent · MNIST and CIFARtraining convergence rateHurt
Increase the portion of randomly assigned labelsData-dependent complexity measure for the learned network · MNIST and CIFARdata-dependent complexity measureHurt
Increase the portion of randomly assigned labelsTwo-layer ReLU network trained by gradient descent · MNIST and CIFARgeneralization errorHurt

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