Conformal Prediction on Quantifying Uncertainty of Dynamic Systems

Fuente: arXiv
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Autori principali: Liang, Aoming, Liu, Qi, Xu, Lei, Sohrab, Fahad, Cui, Weicheng, Song, Changhui, Gabbouj, Moncef
Natura: Preprint
Pubblicazione: 2024
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author Liang, Aoming
Liu, Qi
Xu, Lei
Sohrab, Fahad
Cui, Weicheng
Song, Changhui
Gabbouj, Moncef
author_facet Liang, Aoming
Liu, Qi
Xu, Lei
Sohrab, Fahad
Cui, Weicheng
Song, Changhui
Gabbouj, Moncef
contents Numerous studies have focused on learning and understanding the dynamics of physical systems from video data, such as spatial intelligence. Artificial intelligence requires quantitative assessments of the uncertainty of the model to ensure reliability. However, there is still a relative lack of systematic assessment of the uncertainties, particularly the uncertainties of the physical data. Our motivation is to introduce conformal prediction into the uncertainty assessment of dynamical systems, providing a method supported by theoretical guarantees. This paper uses the conformal prediction method to assess uncertainties with benchmark operator learning methods. We have also compared the Monte Carlo Dropout and Ensemble methods in the partial differential equations dataset, effectively evaluating uncertainty through straight roll-outs, making it ideal for time-series tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2412_10459
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conformal Prediction on Quantifying Uncertainty of Dynamic Systems
Liang, Aoming
Liu, Qi
Xu, Lei
Sohrab, Fahad
Cui, Weicheng
Song, Changhui
Gabbouj, Moncef
Machine Learning
Artificial Intelligence
Numerous studies have focused on learning and understanding the dynamics of physical systems from video data, such as spatial intelligence. Artificial intelligence requires quantitative assessments of the uncertainty of the model to ensure reliability. However, there is still a relative lack of systematic assessment of the uncertainties, particularly the uncertainties of the physical data. Our motivation is to introduce conformal prediction into the uncertainty assessment of dynamical systems, providing a method supported by theoretical guarantees. This paper uses the conformal prediction method to assess uncertainties with benchmark operator learning methods. We have also compared the Monte Carlo Dropout and Ensemble methods in the partial differential equations dataset, effectively evaluating uncertainty through straight roll-outs, making it ideal for time-series tasks.
title Conformal Prediction on Quantifying Uncertainty of Dynamic Systems
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2412.10459