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arXiv 2402.09623stat.MLcs.LG
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异构轨迹的共形化自适应预测

Conformalized Adaptive Forecasting of Heterogeneous Trajectories

University of Southern California(南加州大学)

Yanfei Zhou, Lars Lindemann, Matteo Sesia

AI总结:

针对运动规划中异构轨迹行为不确定性难可靠估计的问题,提出融合多类共形预测与异方差处理技术的共形化自适应预测方法,可生成带有限样本保证的高信息量轨迹预测带。

摘要:

本文提出了一种新的共形方法,用于生成同步预测带,保证以足够高的概率覆盖新随机轨迹的整条路径。受运动规划应用中对可靠不确定性估计的需求推动——这类应用中各类物体的行为可预测性高低不一,我们融合了单时间序列与多时间序列在线共形预测的不同技术,以及解决回归中异方差性的思路。该方案既具备理论严谨性,能提供精确的有限样本保证,又具备实用性,通常能生成比现有方法信息量更高的预测结果。

英文摘要:

This paper presents a new conformal method for generating simultaneous forecasting bands guaranteed to cover the entire path of a new random trajectory with sufficiently high probability. Prompted by the need for dependable uncertainty estimates in motion planning applications where the behavior of diverse objects may be more or less unpredictable, we blend different techniques from online conformal prediction of single and multiple time series, as well as ideas for addressing heteroscedasticity in regression. This solution is both principled, providing precise finite-sample guarantees, and effective, often leading to more informative predictions than prior methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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