How does Random Forest relate to decision boundary curvature approximation?

Updated May 17, 2026

Short answer

Random Forest approximates curved boundaries via piecewise axis-aligned segmentation.

Deep explanation

Although individual trees cannot create curved splits, dense ensembles of axis-aligned partitions approximate curvature through fine-grained step approximations. This is analogous to Riemann sums approximating integrals, where increasing tree density improves boundary resolution.

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