English(EN) On Stopping Rules and Spatial Adaptation for CART

研究发现，CART回归树可通过MID停止规则实现空间适应性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-08-18 04:00

一篇新发表在arXiv上的论文详细介绍了停止规则在CART回归树中的统计作用。研究人员证明，在异质和各向异性平滑条件下，最小不纯度减少（MID）停止规则与适当的阈值相结合，可以实现空间适应性的minimax速率。然而，研究还发现，广泛使用的最小叶子大小停止规则无法实现这种空间适应性。 AI

影响为回归树算法中特定停止规则的有效性提供了理论基础，可能影响未来的模型开发。

排序理由关于回归树统计方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

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arXiv stat.ML TIER_1 English(EN) · Zineng Xu, Yuchao Cai, Yan Shuo Tan · 2026-08-18 04:00

关于CART的停止规则和空间适应性

arXiv:2608.15649v1 Announce Type: new Abstract: The popular CART algorithm for regression trees combines a greedy splitting rule with a stopping rule, but while the splitting rule has been well studied, the statistical role of stopping rules is less well understood. Meanwhile, al…