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Variance-based Sobol' sensitivity is one of the most well-known measures in global sensitivity analysis (GSA). However, uncertainties with certain distributions, such as highly skewed distributions or those with a heavy tail, cannot be…

Numerical Analysis · Mathematics 2025-02-12 Jiannan Yang

The sustainability of urban environments is an increasingly relevant problem. Air pollution plays a key role in the degradation of the environment as well as the health of the citizens exposed to it. In this chapter we provide a review of…

Machine Learning · Computer Science 2022-01-03 Pablo Torres , Beril Sirmacek , Sergio Hoyas , Ricardo Vinuesa

Mobile and ubiquitous sensing of urban air quality has received increased attention as an economically and operationally viable means to survey atmospheric environment with high spatial-temporal resolution. This paper proposes a machine…

Machine Learning · Computer Science 2020-03-03 Jun Song , Ke Han

Reliability-oriented sensitivity analysis aims at combining both reliability and sensitivity analyses by quantifying the influence of each input variable of a numerical model on a quantity of interest related to its failure. In particular,…

Statistics Theory · Mathematics 2022-10-25 Julien Demange-Chryst , François Bachoc , Jérôme Morio

Sensitivity analysis is an important tool used in many domains of computational science to either gain insight into the mathematical model and interaction of its parameters or study the uncertainty propagation through the input-output…

Methodology · Statistics 2023-06-02 Juraj Kardos , Wouter Edeling , Diana Suleimenova , Derek Groen , Olaf Schenk

We consider the estimation of measures of model performance in a target population when covariate and outcome data are available on a sample from some source population and covariate data, but not outcome data, are available on a simple…

Methodology · Statistics 2023-06-16 Jon A. Steingrimsson , Sarah E. Robertson , Issa J. Dahabreh

The study makes use of polynomial chaos expansions to compute Sobol' indices within the frame of a global sensitivity analysis of hydro-dispersive parameters in a simplified vertical cross-section of a segment of the subsurface of the Paris…

Computation · Statistics 2015-11-25 G. Deman , K. Konakli , B. Sudret , J. Kerrou , P. Perrochet , H. Benabderrahmane

Ambient air pollution remains a critical issue in the United Kingdom, where data on air pollution concentrations form the foundation for interventions aimed at improving air quality. However, the current air pollution monitoring station…

Applications · Statistics 2024-01-18 Liam J Berrisford , Lucy S Neal , Helen J Buttery , Benjamin R Evans , Ronaldo Menezes

Air quality and human exposure to mobile source pollutants have become major concerns in urban transportation. Existing studies mainly focus on mitigating traffic congestion and reducing carbon footprints, with limited understanding of…

Physics and Society · Physics 2023-06-29 Xuanpeng Zhao , Guoyuan Wu , Akula Venkatram , Ji Luo , Peng Hao , Kanok Boriboonsomsin , Shaohua Hu

We present an HSIC-based approach for global sensitivity analysis of broad classes of models with correlated and possibly function-valued inputs and outputs. To this end, we define the total HSIC sensitivity index: a bounded, interpretable,…

Statistics Theory · Mathematics 2026-03-03 Troy Larsen , Alen Alexanderian

Sensitivity methods for the analysis of the outputs of discrete Bayesian networks have been extensively studied and implemented in different software packages. These methods usually focus on the study of sensitivity functions and on the…

Artificial Intelligence · Computer Science 2016-07-05 Manuele Leonelli , Christiane Görgen , Jim Q. Smith

Analyzing air pollution data is challenging as there are various analysis focuses from different aspects: feature (what), space (where), and time (when). As in most geospatial analysis problems, besides high-dimensional features, the…

Machine Learning · Computer Science 2022-02-14 Yun-Hsin Kuo , Takanori Fujiwara , Charles C. -K. Chou , Chun-houh Chen , Kwan-Liu Ma

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

This work undertakes studies to evaluate Interpretability Methods for Time-Series Deep Learning. Sensitivity analysis assesses how input changes affect the output, constituting a key component of interpretation. Among the post-hoc…

Machine Learning · Computer Science 2024-01-31 Zhengguang Wang

Air quality has major impact on a country's socio-economic position and identifying major air pollution sources is at the heart of tackling the issue. Spatially and temporally distributed air quality data acquisition across a country as…

Machine Learning · Computer Science 2021-01-19 Sivaramakrishnan KN , Lipika Deka , Manik Gupta

Sensitivity indices are commonly used to quantity the relative inuence of any specic group of input variables on the output of a computer code. In this paper, we focus both on computer codes the output of which is a cumulative distribution…

Statistics Theory · Mathematics 2020-07-27 Jean-Claude Fort , Thierry Klein , Agnès Lagnoux

In this paper, we consider a regression model built on dependent variables. This regression modelizes an input output relationship. Under boundedness assumptions on the joint distribution function of the input variables, we show that a…

Statistics Theory · Mathematics 2012-03-14 Gaëlle Chastaing , Fabrice Gamboa , Clémentine Prieur

Air pollution in cities and the possibilities of reducing this pollution represents one of the most important factors that today's society has to deal with. This paper focuses on a systemic approach to traffic emissions with their relation…

Artificial Intelligence · Computer Science 2025-09-16 V. Benes , M. Svitek , A. Michalikova , M. Melicherik

A variety of indices aim to quantify the impact of input variables on a response, typically the output from a complex computer code or black-box model. Most commonly used, the Sobol' index typically measures the influence of some inputs…

Statistics Theory · Mathematics 2025-07-22 Thierry Klein , Agnès Lagnoux , Paul Rochet , Thi Mong Ngoc Nguyen

This paper overviews two interdependent issues important for mining remote sensing data (e.g. images) obtained from atmospheric monitoring missions. The first issue relates the building new public datasets and benchmarks, which are hot…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Chaabane Djeraba , Jérôme Riedi