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Bibliographic Details
Main Authors: Li, Ruipu, Menacho, Daniel, Rodríguez, Alexander
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.13362
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author Li, Ruipu
Menacho, Daniel
Rodríguez, Alexander
author_facet Li, Ruipu
Menacho, Daniel
Rodríguez, Alexander
contents Future trajectories play an important role across domains such as autonomous driving, hurricane forecasting, and epidemic modeling, where practitioners commonly generate ensemble paths by sampling probabilistic models or leveraging multiple autoregressive predictors. While these trajectories reflect inherent uncertainty, they are typically uncalibrated. We propose a unified framework based on conformal prediction that transforms sampled trajectories into calibrated prediction intervals with theoretical coverage guarantees. By introducing a novel online update step and an optimization step that captures inter-step dependencies, our method can produce discontinuous prediction intervals around each trajectory, naturally capture temporal dependencies, and yield sharper, more adaptive uncertainty estimates.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adaptive Conformal Prediction Intervals Over Trajectory Ensembles
Li, Ruipu
Menacho, Daniel
Rodríguez, Alexander
Machine Learning
Future trajectories play an important role across domains such as autonomous driving, hurricane forecasting, and epidemic modeling, where practitioners commonly generate ensemble paths by sampling probabilistic models or leveraging multiple autoregressive predictors. While these trajectories reflect inherent uncertainty, they are typically uncalibrated. We propose a unified framework based on conformal prediction that transforms sampled trajectories into calibrated prediction intervals with theoretical coverage guarantees. By introducing a novel online update step and an optimization step that captures inter-step dependencies, our method can produce discontinuous prediction intervals around each trajectory, naturally capture temporal dependencies, and yield sharper, more adaptive uncertainty estimates.
title Adaptive Conformal Prediction Intervals Over Trajectory Ensembles
topic Machine Learning
url https://arxiv.org/abs/2508.13362