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We consider a generalization of the discrete-time Self Healing Umbrella Sampling method, which is an adaptive importance technique useful to sample multimodal target distributions. The importance function is based on the weights (namely the…

Probability · Mathematics 2017-09-04 Gersende Fort , Benjamin Jourdain , Tony Lelièvre , Gabriel Stoltz

Predicting the response at an unobserved location is a fundamental problem in spatial statistics. Given the difficulty in modeling spatial dependence, especially in non-stationary cases, model-based prediction intervals are at risk of…

Methodology · Statistics 2025-07-09 Huiying Mao , Ryan Martin , Brian Reich

This study compares calibration strategies for predicting particle velocity in granular sugar subjected to weak shock loading, using measurements from flyer-plate impact experiments as a benchmark. Two computational approaches are…

Computational Physics · Physics 2026-01-23 Dawa Seo , Darby J. Luscher , Nitin Daphalapurkar

The aim of this work was to predict the probability of the spread of rock formations with hydrocarbon-collecting properties in the studied coastal area using a stack of machine learning algorithms and data augmentation and modification…

Geophysics · Physics 2023-01-10 Dmitry Ivlev

Wildfires are highly imbalanced natural hazards in both space and severity, making the prediction of extreme events particularly challenging. In this work, we introduce the first ordinal classification framework for forecasting wildfire…

Machine Learning · Computer Science 2026-05-26 Nicolas Caron , Christophe Guyeux , Hassan Noura , Benjamin Aynes

A modeling paradigm is developed to augment predictive models of turbulence by effectively utilizing limited data generated from physical experiments. The key components of our approach involve inverse modeling to infer the spatial…

Computational Engineering, Finance, and Science · Computer Science 2016-11-08 Anand Pratap Singh , Shivaji Medida , Karthik Duraisamy

High-resolution gridded climate data are readily available from multiple sources, yet climate research and decision-making increasingly require country and region-specific climate information weighted by socio-economic factors. Moreover,…

Applications · Statistics 2024-12-23 Marco Gortan , Lorenzo Testa , Giorgio Fagiolo , Francesco Lamperti

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate…

Econometrics · Economics 2024-06-19 Matthew D. Cocci , Mikkel Plagborg-Møller

Model updating of engineering systems inevitably involves handling both aleatory or inherent randomness and epistemic uncertainties or uncertainities arising from a lack of knowledge or information about the system. Addressing these…

Applications · Statistics 2025-05-27 Sangwon Lee , Taro Yaoyama , Masaru Kitahara , Tatsuya Itoi

The geographically weighted regression (GWR) is a well-known statistical approach to explore spatial non-stationarity of the regression relationship in spatial data analysis. In this paper, we discuss a Bayesian recourse of GWR. Bayesian…

Applications · Statistics 2020-07-07 Zhihua Ma , Yishu Xue , Guanyu Hu

Ensembles of climate models are commonly used to improve climate predictions and assess the uncertainties associated with them. Weighting the models according to their performances holds the promise of further improving their predictions.…

Atmospheric and Oceanic Physics · Physics 2016-05-25 Ehud Strobach , Golan Bel

The use of spatially explicit land use and land cover (LULC) change models is widespread in environmental sciences and of interest in public decision-help. However, it appears that these models suffer from significant biases and…

Applications · Statistics 2022-04-01 François-Rémi Mazy , Pierre-Yves Longaretti

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

A wildland fire model based on semi-empirical relations for the spread rate of a surface fire and post-frontal heat release is coupled with the Weather Research and Forecasting atmospheric model (WRF). The propagation of the fire front is…

Atmospheric and Oceanic Physics · Physics 2015-08-03 Jan Mandel , Jonathan D. Beezley , Soham Chakraborty , Janice L. Coen , Craig C. Douglas , Anthony Vodacek , Zhen Wang

Electricity is difficult to store, except at prohibitive cost, and therefore the balance between generation and load must be maintained at all times. Electricity is traditionally managed by anticipating demand and intermittent production…

Machine Learning · Computer Science 2024-09-26 Julie Keisler , Margaux Bregere

Understanding the behaviour of environmental extreme events is crucial for evaluating economic losses, assessing risks, health care and many other aspects. In the spatial context, relevant for environmental events, the dependence structure…

Methodology · Statistics 2021-03-22 Manaf Ahmed , Véronique Maume-Deschamps , Pierre Ribereau

We introduce and study the problem of calibrating conditional risk, which involves estimating the expected loss of a prediction model conditional on input features. We analyze this problem in both classification and regression settings and…

Machine Learning · Computer Science 2026-04-23 Andrey Vasilyev , Yikai Wang , Xiaocheng Li , Guanting Chen

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

Methodology · Statistics 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

Since the seventies, several reconstruction techniques have been proposed, and are currently used, to extrapolate and quantify eruptive parameters from sampled deposit datasets. Discrete numbers of tephra ground loadings or stratigraphic…

Geophysics · Physics 2015-09-02 A. Spanu , M. de' Michieli Vitturi , S. Barsotti

In this study, we present a collection of local models, termed geographically weighted (GW) models, that can be found within the GWmodel R package. A GW model suits situations when spatial data are poorly described by the global form, and…

Methodology · Statistics 2013-12-11 Binbin Lu , Paul Harris , Martin Charlton , Chris Brunsdon