Italiano(IT) Local polynomial density ratio estimation

揭示了新的密度比估计统计方法

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-01 04:00

开发了一种新的密度比估计统计方法，在任意光滑度的Hölder类上提供了最优收敛率。这种新颖的局部多项式估计器即使在分布支撑的边界处也有效，并提供了对分类任务有用的集中不等式。研究还详细介绍了密度比偏导数的估计方法以及实现这些估计器的渐近正态性，从而实现数据驱动的方差估计。 AI

影响这项研究可以改进分类算法和密度估计技术，可能影响依赖于准确统计建模的AI系统。

排序理由学术论文在arXiv上发表，详细介绍了一种新的统计方法。[lever_c_demoted from research: ic=1 ai=0.7]

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arXiv stat.ML TIER_1 Italiano(IT) · Hajo Holzmann, Alexander Meister · 2026-10-01 04:00

局部多项式密度比估计

arXiv:2609.38412v1 Announce Type: cross Abstract: We propose a novel local-polynomial estimator of the ratio $r=f/g$ of two $d$-dimensional densities $f$ and $g$, from which independent samples are available. The estimator is shown to achieve pointwise minimax optimal rates over …