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How much does Initialization Affect Generalization?

ICML 2023 · Optimization › Implicit bias and generalization · approach: Stability-based generalization analysis

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
pretrain on random labels to raise initial high-frequency energy before training on true labels (ablation)VGG11, VGG16, AlexNet, EfficientNet, DenseNet, ResNet-18, ResNet-50, SENet, ConvMixer · CIFAR10, CIFAR100, Tiny ImageNet (no data augmentation)test accuracy: drops of roughly 4 to 60 points across models and datasetsHurt
pretrain on swapped (fixed random) labels before training on correct labels (ablation)ResNet-18, ConvMixer · CIFAR10test accuracy: ResNet-18 82.91 vs 82.44 random init; ConvMixer 85.27 vs 86.72No clear effect
initialize ReLU/Gaussian networks with high-frequency content (pretrain on sin(6πx) for ReLU) (ablation)ReLU and Gaussian networks · 1D regression (sampled sinusoid signals)interpolation smoothness (qualitative)Hurt
use Xavier init for ReLU and Gaussian N(0,0.03) init with low initial frequency content (ablation)Gaussian network · 1D regression, Experiment 3dinterpolation smoothness (qualitative)Helped
use a ReLU network with Xavier initialization whose spectrum lies below the lowest solution frequency vs. pretrained high-frequency init (ablation)ReLU network · 1D regression, sin(πx) samplinginterpolation smoothness (qualitative)Helped
flatness of minimum (flat-minima conjecture) as predictor of generalization across architecturesGaussian vs ReLU networks · 1D regression with Hessian analysisgeneralization vs. flatness consistencyMixed

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