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Benefits of Overparameterized Convolutional Residual Networks: Function Approximation under Smoothness Constraint

ICML 2022 · Learning theory and algorithms › Kernels and regression theory · approach: Generalization theory of deep networks · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase widening factor from 1 to 4WideResNet at depth 16 · CIFAR-10 test, PGD-20robust accuracy: 34.31 \pm 0.45\% -> 51.40 \pm 0.16\%Helped
Increase widening factor from 1 to 4WideResNet at depth 22 · CIFAR-10 test, PGD-20robust accuracy: 41.47 \pm 0.11\% -> 53.36 \pm 0.21\%Helped
Increase widening factor from 1 to 4WideResNet at depth 28 · CIFAR-10 test, PGD-20robust accuracy: 43.33 \pm 0.57\% -> 54.45 \pm 0.14\%Helped
Increase widening factor from 1 to 4WideResNet at depth 34 · CIFAR-10 test, PGD-20robust accuracy: 46.14 \pm 0.16\% -> 55.28 \pm 0.35\%Helped
Increase depth from 16 to 34WideResNet with WF 1 · CIFAR-10 test, PGD-20robust accuracy: 34.31 \pm 0.45\% -> 46.14 \pm 0.16\%Helped
Increase depth from 16 to 34WideResNet with WF 2 · CIFAR-10 test, PGD-20robust accuracy: 46.14 \pm 0.21\% -> 51.63 \pm 0.28\%Helped
Increase depth from 16 to 34WideResNet with WF 4 · CIFAR-10 test, PGD-20robust accuracy: 51.40 \pm 0.16\% -> 55.28 \pm 0.35\%Helped

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