Warped multifidelity Gaussian processes for data fusion of skewed environmental data

Fuente: arXiv
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Bibliographic Details
Main Authors: Colombo, Pietro, Miller, Claire, Yang, Xiaochen, O'Donnell, Ruth, Maranzano, Paolo
Format: Preprint
Published: 2024
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_version_ 1866909000264581120
author Colombo, Pietro
Miller, Claire
Yang, Xiaochen
O'Donnell, Ruth
Maranzano, Paolo
author_facet Colombo, Pietro
Miller, Claire
Yang, Xiaochen
O'Donnell, Ruth
Maranzano, Paolo
contents Understanding the dynamics of climate variables is paramount for numerous sectors, like energy and environmental monitoring. This study focuses on the critical need for a precise mapping of environmental variables for national or regional monitoring networks, a task notably challenging when dealing with skewed data. To address this issue, we propose a novel data fusion approach, the \textit{warped multifidelity Gaussian process} (WMFGP). The method performs prediction using multiple time-series, accommodating varying reliability and resolutions and effectively handling skewness. In an extended simulation experiment the benefits and the limitations of the methods are explored, while as a case study, we focused on the wind speed monitored by the network of ARPA Lombardia, one of the regional environmental agencies operting in Italy. ARPA grapples with data gaps, and due to the connection between wind speed and air quality, it struggles with an effective air quality management. We illustrate the efficacy of our approach in filling the wind speed data gaps through two extensive simulation experiments. The case study provides more informative wind speed predictions crucial for predicting air pollutant concentrations, enhancing network maintenance, and advancing understanding of relevant meteorological and climatic phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20295
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Warped multifidelity Gaussian processes for data fusion of skewed environmental data
Colombo, Pietro
Miller, Claire
Yang, Xiaochen
O'Donnell, Ruth
Maranzano, Paolo
Applications
Computation
Methodology
Understanding the dynamics of climate variables is paramount for numerous sectors, like energy and environmental monitoring. This study focuses on the critical need for a precise mapping of environmental variables for national or regional monitoring networks, a task notably challenging when dealing with skewed data. To address this issue, we propose a novel data fusion approach, the \textit{warped multifidelity Gaussian process} (WMFGP). The method performs prediction using multiple time-series, accommodating varying reliability and resolutions and effectively handling skewness. In an extended simulation experiment the benefits and the limitations of the methods are explored, while as a case study, we focused on the wind speed monitored by the network of ARPA Lombardia, one of the regional environmental agencies operting in Italy. ARPA grapples with data gaps, and due to the connection between wind speed and air quality, it struggles with an effective air quality management. We illustrate the efficacy of our approach in filling the wind speed data gaps through two extensive simulation experiments. The case study provides more informative wind speed predictions crucial for predicting air pollutant concentrations, enhancing network maintenance, and advancing understanding of relevant meteorological and climatic phenomena.
title Warped multifidelity Gaussian processes for data fusion of skewed environmental data
topic Applications
Computation
Methodology
url https://arxiv.org/abs/2407.20295