English(EN) Sampling Design and Confidence Tubes for Integral Curves on Riemannian Manifolds

提出了黎曼流形上积分曲线的估计新方法

作者 PulseAugur 编辑部 · [1 个来源] · 2026-11-06 05:00

本文介绍了在黎曼流形上估计未知向量场积分曲线的新方法。它提出了两种采样策略：使用现有数据的被动核估计和策略性收集新数据的活动采样。这两种方法都提供了具有渐近精确覆盖率的同步测地置信管，模拟表明活动采样在某些情况下可产生更窄的置信管和更好的覆盖率。 AI

影响引入了分析复杂数据结构的新颖统计方法，可能适用于涉及流形学习或轨迹分析的AI研究。

排序理由该条目是一篇在arXiv上发表的学术论文，详细介绍了新的统计方法。[lever_c_demoted from research: ic=1 ai=0.7]

AI 生成摘要 · Google Gemini · 来自 1 个来源。我们如何撰写摘要 →

本文如何被排名

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arXiv stat.ML TIER_1 English(EN) · Xiaotian Chang, Qirui Hu, Cyrus Mostajeran · 2026-11-06 05:00

黎曼流形上积分曲线的采样设计与置信区间

arXiv:2611.00771v2 Announce Type: replace Abstract: We estimate the integral curve of an unknown vector field from noisy tangent vector field on a known compact Riemannian manifold. We consider two sampling settings: independent observations at random locations that have already …