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Research map / Learning theory and algorithms / Kernels and regression theory

Double Trouble in Double Descent: Bias and Variance(s) in the Lazy Regime

ICML 2020 · Learning theory and algorithms › Kernels and regression theory · approach: Double descent and overfitting · 48 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase feature count beyond the interpolation thresholdRandom features regression · Random features, overparametrized regimetest errorHelped
Increase feature count beyond the interpolation thresholdRandom features regression · Random features, bias and sampling variancetest errorNo clear effect
Average predictions from independently initialized estimators (ablation)Random features regression · Random features, interpolation thresholdtest errorHelped
Average predictions from independently initialized estimators (ablation)Random features regression · Random features, P<Ntest errorHurt
Average predictions from independently initialized estimators (ablation)Random features regression · Random features, sampling variancetest errorNo clear effect
Train independently initialized estimators on disjoint data splits (ablation)Random features regression · Random features, noisy labelstest errorHelped
Train independently initialized estimators on disjoint data splits (ablation)Random features regression · Random features, reduced effective datasettest errorMixed
Increase ridge regularization (ablation)Random features regression · Random features, interpolation thresholdtest errorHelped
Optimize ridge regularization over λ (ablation)Random features regression · Random features, varying P/Ntest errorHelped
Use K→∞ ensembling rather than an optimally regularized single estimator (ablation)Random features regression · Random features, varying P/Ntest errorHelped
Double the number of features (ablation)Random features regression · Random features, varying dataset sizetest errorMixed
Ensemble 20 independently initialized networks (ablation)5-layer network on binary 10-PCA CIFAR-10, α=100 · Binary 10-PCA CIFAR-10misclassification errorHelped

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