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Humans are exposed to complex mixtures of environmental pollutants rather than single chemicals, necessitating methods to quantify the health effects of such mixtures. Research on environmental mixtures provides insights into realistic…

统计方法学 · 统计学 2026-04-09 Aaron Sonabend , Jiangshan Zhang , Edgar Castro , Joel Schwartz , Brent A. Coull , Junwei Lu

Turning pass-through network architectures into iterative ones, which use their own output as input, is a well-known approach for boosting performance. In this paper, we argue that such architectures offer an additional benefit: The…

人工智能 · 计算机科学 2025-05-27 Nikita Durasov , Doruk Oner , Jonathan Donier , Hieu Le , Pascal Fua

Random effects model can account for the lack of fitting a regression model and increase precision of estimating area-level means. However, in case that the synthetic mean provides accurate estimates, the prior distribution may inflate an…

统计方法学 · 统计学 2016-12-05 Shonosuke Sugasawa , Tatsuya Kubokawa , Kota Ogasawara

The authors apply three methods of prospective modelling to high resolution georeferenced land cover data in a Mediterranean mountain area: GIS approach, non linear parametric model and neuronal network. Land cover prediction to the latest…

We consider the problem of forecasting the regions at higher risk for newly introduced invasive species. Favourable and unfavourable regions may indeed not be known a priori, especially for exotic species whose hosts in native range and…

偏微分方程分析 · 数学 2009-07-07 Michel Cristofol , Lionel Roques

Max-stable processes are increasingly widely used for modelling complex extreme events, but existing fitting methods are computationally demanding, limiting applications to a few dozen variables. $r$-Pareto processes are mathematically…

统计方法学 · 统计学 2017-06-14 Raphaël de Fondeville , Anthony C. Davison

Being able to reliably assess not only the \emph{accuracy} but also the \emph{uncertainty} of models' predictions is an important endeavour in modern machine learning. Even if the model generating the data and labels is known, computing the…

机器学习 · 计算机科学 2023-09-12 Lucas Clarté , Bruno Loureiro , Florent Krzakala , Lenka Zdeborová

Many geophysical problems can be cast as inverse problems that estimate a set of parameter values from observed data. Within a Bayesian framework, solutions to such problems are described probabilistically by the so-called posterior…

地球物理 · 物理学 2025-07-23 Xuebin Zhao , Andrew Curtis

Deep learning offers promising new ways to accurately model aleatoric uncertainty in robotic state estimation systems, particularly when the uncertainty distributions do not conform to traditional assumptions of being fixed and Gaussian. In…

机器学习 · 计算机科学 2025-02-28 Aastha Acharya , Caleb Lee , Marissa D'Alonzo , Jared Shamwell , Nisar R. Ahmed , Rebecca Russell

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

统计计算 · 统计学 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta

The radiological characterization of contaminated elements (walls, grounds, objects) from nuclear facilities often suffers from a too small number of measurements. In order to determine risk prediction bounds on the level of contamination,…

应用统计 · 统计学 2017-05-30 Géraud Blatman , Thibault Delage , Bertrand Iooss , Nadia Pérot

Gaussian process models are commonly used as emulators for computer experiments. However, developing a Gaussian process emulator can be computationally prohibitive when the number of experimental samples is even moderately large. Local…

统计方法学 · 统计学 2018-09-26 Chih-Li Sung , Robert B. Gramacy , Benjamin Haaland

Recent trends envisage robots being deployed in areas deemed dangerous to humans, such as buildings with gas and radiation leaks. In such situations, the model of the underlying hazardous process might be unknown to the agent a priori,…

机器人学 · 计算机科学 2021-09-24 Fernando S. Barbosa , Bruno Lacerda , Paul Duckworth , Jana Tumova , Nick Hawes

We use the concept of excursions for the prediction of random variables without any moment existence assumptions. To do so, an excursion metric on the space of random variables is defined which appears to be a kind of a weighted…

统计理论 · 数学 2022-09-07 Vitalii Makogin , Evgeny Spodarev

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

机器学习 · 计算机科学 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

High concentration episodes for NO$_2$ are increasingly dealt with by authorities through traffic restrictions which are activated when air quality deteriorates beyond certain thresholds. Foreseeing the probability that pollutant…

应用统计 · 统计学 2020-03-26 Sebastián Pérez Vasseur , José L. Aznarte

Model-based geostatistical design involves the selection of locations to collect data to minimise an expected loss function over a set of all possible locations. The loss function is specified to reflect the aim of data collection, which,…

统计计算 · 统计学 2021-12-03 S. G. Jagath Senarathne , Werner G. Müller , James M. McGree

Environmental contours are tools frequently used in the early design of marine structures. They provide a description of critical design conditions and serve as a means for simplifying expensive long-term response calculations. Here, we…

概率论 · 数学 2023-09-04 Åsmund Hausken Sande

The computation of Gaussian orthant probabilities has been extensively studied for low-dimensional vectors. Here, we focus on the high-dimensional case and we present a two-step procedure relying on both deterministic and stochastic…

统计方法学 · 统计学 2018-12-03 Dario Azzimonti , David Ginsbourger

The structure of Gaussian random fields over high levels is a well researched and well understood area, particularly if the field is smooth. However, the question as to whether or not two or more points which lie in an excursion set belong…

概率论 · 数学 2014-04-01 Robert J. Adler , Elina Moldavskaya , Gennady Samorodnitsky