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A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them. This question naturally lends itself to a probabilistic formulation, by…

统计力学 · 物理学 2018-09-03 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden

The EVA 2023 data competition consisted of four challenges, ranging from interval estimation for very high quantiles of univariate extremes conditional on covariates, point estimation of unconditional return levels under a custom loss…

应用统计 · 统计学 2023-12-22 Léo R. Belzile , Arnab Hazra , Rishikesh Yadav

We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular dynamics without the influence of noise or parameter change.…

混沌动力学 · 物理学 2014-08-28 Gerrit Ansmann , Rajat Karnatak , Klaus Lehnertz , Ulrike Feudel

One of the basic aims in science is to unravel the chain of cause and effect of particular systems. Especially for large systems this can be a daunting task. Detailed interventional and randomized data sampling approaches can be used to…

统计方法学 · 统计学 2016-11-30 Seyed Mahdi Mahmoudi , Ernst Wit

We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessary to generate an extreme event in the collective dynamics of…

混沌动力学 · 物理学 2026-05-29 Christian Hechler , Timo Bröhl , Ulrike Feudel , Klaus Lehnertz

This study provides a summary of the theory which enables the analysis of extreme values, i.e., of measurements acquired from the observation of extraordinary/rare physical phenomena. The formalism is developed in a transparent way,…

数据分析、统计与概率 · 物理学 2024-07-02 Evangelos Matsinos

In classical extreme value theory probabilities of extreme events are estimated assuming all the components of a random vector to be in a domain of attraction of an extreme value distribution. In contrast, the conditional extreme value…

统计理论 · 数学 2011-08-30 Bikramjit Das , Sidney I. Resnick

This paper develops a framework for identification, estimation, and inference on the causal mechanisms driving endogenous social network formation. Identification is challenging because of unobserved confounders and reverse causality;…

计量经济学 · 经济学 2026-04-21 Maximilian Kasy , Elizabeth Linos , Sanaz Mobasseri

Causal inference for extreme events has many potential applications in fields such as climate science, medicine and economics. We study the extremal quantile treatment effect of a binary treatment on a continuous, heavy-tailed outcome.…

统计方法学 · 统计学 2023-07-06 David Deuber , Jinzhou Li , Sebastian Engelke , Marloes H. Maathuis

Causal inference is to estimate the causal effect in a causal relationship when intervention is applied. Precisely, in a causal model with binary interventions, i.e., control and treatment, the causal effect is simply the difference between…

机器学习 · 计算机科学 2022-07-19 Zhenyu Lu , Yurong Cheng , Mingjun Zhong , George Stoian , Ye Yuan , Guoren Wang

Models for extreme values are generally derived from limit results, which are meant to be good enough approximations when applied to finite samples. Depending on the speed of convergence of the process underlying the data, these…

统计理论 · 数学 2019-02-20 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn

The description of the dynamics of complex systems, in particular the capture of the interaction structure and causal relationships between elements of the system, is one of the central questions of interdisciplinary research. While the…

机器学习 · 统计学 2025-04-30 Jakub Kořenek , Pavel Sanda , Jaroslav Hlinka

We establish a theory for multivariate extreme value analysis of dynamical systems. Namely, we provide conditions adapted to the dynamical setting which enable the study of dependence between extreme values of the components of…

Modeling extreme precipitation and temperature is vital for understanding the impacts of climate change, as hazards like intense rainfall and record-breaking temperatures can result in severe consequences, including floods, droughts, and…

统计方法学 · 统计学 2026-01-13 Remy MacDonald , Benjamin Seiyon Lee , John Foley , Justin Lee

In a wide variety of situations, anomalies in the behaviour of a complex system, whose health is monitored through the observation of a random vector X = (X1,. .. , X d) valued in R d , correspond to the simultaneous occurrence of extreme…

统计方法学 · 统计学 2019-07-18 Maël Chiapino , Stéphan Clémençon , Vincent Feuillard , Anne Sabourin

In social sciences and economics, causal inference traditionally focuses on assessing the impact of predefined treatments (or interventions) on predefined outcomes, such as the effect of education programs on earnings. Causal discovery, in…

计量经济学 · 经济学 2024-07-12 Martin Huber

Although most models for rainfall extremes focus on point-wise values, it is aggregated precipitation over areas up to river catchment scale that is of the most interest. To capture the joint behaviour of precipitation aggregates evaluated…

应用统计 · 统计学 2023-01-03 Jordan Richards , Jonathan A. Tawn , Simon Brown

Using deep latent variable models in causal inference has attracted considerable interest recently, but an essential open question is their ability to yield consistent causal estimates. While they have demonstrated promising results and…

机器学习 · 计算机科学 2022-01-25 Severi Rissanen , Pekka Marttinen

We consider regularly varying random vectors. Our goal is to estimate in a non-parametric way some characteristics related to conditioning on an extreme event, like the tail dependence coefficient. We introduce a quasi-spectral…

统计方法学 · 统计学 2015-02-26 Rafał Kulik , Zhigang Tong

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

统计方法学 · 统计学 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani