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Generalization Bounds for Gradient Methods via Discrete and Continuous Prior

NeurIPS 2022 · Optimization › Nonconvex and smooth optimization · approach: Langevin sampling for nonconvex problems · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use FGD with a discrete data-dependent priorCNN · MNISTtest error upper bound: 0.11 -> 0.026Helped
Use FSGD with a discrete data-dependent priorSimpleNet · CIFAR10test error upper bound: 0.23 -> 0.198Helped
Use finite-precision FGD instead of GDCNN · MNISTtraining and testing curvesNo clear effect
Use finite-precision FSGD instead of SGDSimpleNet · CIFAR10training and testing curvesNo clear effect
Increase the prior subset size mFGD and FSGD · MNIST and CIFAR10cumulative squared gradient differenceHelped

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