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English(EN) Conditional regression for the Nonlinear Single-Variable Model

新型估计器应对非线性单变量回归挑战

研究人员为非线性单变量模型开发了一种新的非参数估计器,解决了回归任务中的维度挑战。该方法基于响应切片和局部主成分分析,在与曲线变化和噪声水平相关的特定条件下,可以达到接近极小极大最优的速率。构建时间效率高,其复杂度随环境维度的增加呈多项式增长。 AI

排序理由 该集群包含一篇详细介绍新统计方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv stat.ML 阅读 →

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新型估计器应对非线性单变量回归挑战

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该集群包含一篇详细介绍新统计方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Yantao Wu, Mauro Maggioni ·

    非线性单变量模型的条件回归

    arXiv:2411.09686v4 Announce Type: replace Abstract: Regressing a function $F$ on $\mathbb{R}^d$ without incurring the statistical and computational curse of dimensionality requires exploitable structure. Compositional models $F=f\circ g$ in which $g$ has a low-dimensional range i…