Distribution-Free Predictive Inference under Unknown Temporal Drift

Fuente: arXiv
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Autores principales: Han, Elise, Huang, Chengpiao, Wang, Kaizheng
Formato: Preprint
Publicado: 2024
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author Han, Elise
Huang, Chengpiao
Wang, Kaizheng
author_facet Han, Elise
Huang, Chengpiao
Wang, Kaizheng
contents Distribution-free prediction sets play a pivotal role in uncertainty quantification for complex statistical models. Their validity hinges on reliable calibration data, which may not be readily available as real-world environments often undergo unknown changes over time. In this paper, we propose a strategy for choosing an adaptive window and use the data therein to construct prediction sets. The window is selected by optimizing an estimated bias-variance tradeoff. We provide sharp coverage guarantees for our method, showing its adaptivity to the underlying temporal drift. We also illustrate its efficacy through numerical experiments on synthetic and real data.
format Preprint
id arxiv_https___arxiv_org_abs_2406_06516
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Distribution-Free Predictive Inference under Unknown Temporal Drift
Han, Elise
Huang, Chengpiao
Wang, Kaizheng
Methodology
Machine Learning
Distribution-free prediction sets play a pivotal role in uncertainty quantification for complex statistical models. Their validity hinges on reliable calibration data, which may not be readily available as real-world environments often undergo unknown changes over time. In this paper, we propose a strategy for choosing an adaptive window and use the data therein to construct prediction sets. The window is selected by optimizing an estimated bias-variance tradeoff. We provide sharp coverage guarantees for our method, showing its adaptivity to the underlying temporal drift. We also illustrate its efficacy through numerical experiments on synthetic and real data.
title Distribution-Free Predictive Inference under Unknown Temporal Drift
topic Methodology
Machine Learning
url https://arxiv.org/abs/2406.06516