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Fig 3 shows a simulation result analyzing the bias-variance tradeoff for CART with and without HS. Here, data is generated from a linear model with Gaussian noise added during training (see Appendix S3 for experimental details, and other simulations). While predictive performance curves are often U-shaped because of the bias-variance tradeoff, those for HS are monotonic since HS is able to effectively reduce variance. The optimal regularization parameter λ decreases with the total number of leaves; this is corroborated by our calculations in Sec 3.
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Claim 1.6
Claim 1.6 decrease bias^2 + var (Fig. 3)
Dec 24, 2022
The text was updated successfully, but these errors were encountered: