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On the Saturation Effect of Kernel Ridge Regression

ICLR 2023 · Learning theory and algorithms › Kernels and regression theory · approach: Kernel ridge regression analysis · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increasing smoothness alpha beyond 2 with KRR (saturation): rate stops improving and declinesKRR · Toy 1D Sobolev H^1, f*=e_2convergence rate: 0.80 at alpha=2 to 0.54 at alpha=3.5Hurt
Gradient flow with early stopping used instead of KRR (spectral algorithm with high qualification)spectral regularization (gradient flow) · Toy 1D Sobolev H^1, f*=e_2convergence rate: 0.85 vs 0.54 at alpha=3.5Helped

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