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Scientific modeling applications often require estimating a distribution of parameters consistent with a dataset of observations - an inference task also known as source distribution estimation. This problem can be ill-posed, however, since…

Machine Learning · Computer Science 2024-12-02 Julius Vetter , Guy Moss , Cornelius Schröder , Richard Gao , Jakob H. Macke

This article is concerned with numerical methods to approximate effective coefficients in stochastic homogenization of discrete linear elliptic equations, and their numerical analysis --- which has been made possible by recent contributions…

Numerical Analysis · Mathematics 2012-11-09 A. -C. Egloffe , A. Gloria , J. -C. Mourrat , T. N. Nguyen

Many problems in materials science and biology involve particles interacting with strong, short-ranged bonds, that can break and form on experimental timescales. Treating such bonds as constraints can significantly speed up sampling their…

Numerical Analysis · Mathematics 2020-12-02 Miranda Holmes-Cerfon

We explore past and recent developments in rare-event probability estimation with a particular focus on a novel Monte Carlo technique Empirical Likelihood Maximization (ELM). This is a versatile method that involves sampling from a sequence…

Computation · Statistics 2013-12-12 A. Huang , Z. I. Botev

Models for extreme values accommodating non-stationarity have been amply studied and evaluated from a parametric perspective. Whilst these models are flexible, in the sense that many parametrizations can be explored, they assume an…

Applications · Statistics 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

Extreme event attribution characterizes how anthropogenic climate change may have influenced the probability and magnitude of selected individual extreme weather and climate events. Attribution statements often involve quantification of the…

Methodology · Statistics 2018-02-06 Soyoung Jeon , Christopher J. Paciorek , Michael F. Wehner

To disentangle the complex non-stationary dependence structure of precipitation extremes over the entire contiguous U.S., we propose a flexible local approach based on factor copula models. Our sub-asymptotic spatial modeling framework…

Applications · Statistics 2019-03-26 Daniela Castro-Camilo , Raphaël Huser

How should researchers select experimental sites when the deployment population differs from observed data? I formulate the problem of experimental site selection as an optimal transport problem, developing methods to minimize downstream…

Methodology · Statistics 2025-11-07 Adam Bouyamourn

In ensemble methods, the outputs of a collection of diverse classifiers are combined in the expectation that the global prediction be more accurate than the individual ones. Heterogeneous ensembles consist of predictors of different types,…

Machine Learning · Computer Science 2019-06-11 Maryam Sabzevari , Gonzalo Martínez-Muñoz , Alberto Suárez

Predicting extreme events is important in many applications in risk analysis. The extreme-value theory suggests modelling extremes by max-stable distributions. The Bayesian approach provides a natural framework for statistical prediction.…

Statistics Theory · Mathematics 2020-09-22 Simone A. Padoan , Stefano Rizzelli

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

Machine Learning · Statistics 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

In multivariate or spatial extremes, inference for max-stable processes observed at a large collection of locations is among the most challenging problems in computational statistics, and current approaches typically rely on less expensive…

Computation · Statistics 2015-08-20 Stefano Castruccio , Raphaël Huser , Marc Genton

Modeling the risk of extreme weather events in a changing climate is essential for developing effective adaptation and mitigation strategies. Although the available low-resolution climate models capture different scenarios, accurate risk…

Atmospheric and Oceanic Physics · Physics 2022-12-06 Anamitra Saha , Sai Ravela

Understanding the spatial extent of extreme precipitation is necessary for determining flood risk and adequately designing infrastructure (e.g., stormwater pipes) to withstand such hazards. While environmental phenomena typically exhibit…

Applications · Statistics 2020-03-25 Gregory P. Bopp , Benjamin A. Shaby , Raphaël Huser

Data of the form of event times arise in various applications. A simple model for such data is a non-homogeneous Poisson process (NHPP) which is specified by a rate function that depends on time. We consider the problem of having access to…

Machine Learning · Computer Science 2018-06-22 Duncan Barrack , Simon Preston

We develop a method for probabilistic prediction of extreme value hot-spots in a spatio-temporal framework, tailored to big datasets containing important gaps. In this setting, direct calculation of summaries from data, such as the minimum…

Methodology · Statistics 2020-04-02 Daniela Castro-Camilo , Linda Mhalla , Thomas Opitz

We introduce new nonparametric predictors for homogeneous pooled data in the context of group testing for rare abnormalities and show that they achieve optimal rates of convergence. In particular, when the level of pooling is moderate, then…

Statistics Theory · Mathematics 2012-05-29 Aurore Delaigle , Peter Hall

The block maxima method is one of the most popular approaches for extreme value analysis with independent and identically distributed observations in the domain of attraction of an extreme value distribution. The lack of a rigorous study on…

Methodology · Statistics 2022-04-12 Simone A Padoan , Stefano Rizzelli
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