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Causal dependence modelling of multivariate extremes is intended to improve our understanding of the relationships amongst variables associated with rare events. Regular variation provides a standard framework in the study of extremes. This…

Methodology · Statistics 2025-02-20 Mario Krali

Causal discovery in multivariate extremes is challenging because extreme observations are sparse, dependent, and often affected by latent common shocks. Existing approaches focus on undirected extremal dependence, require prior graph…

Methodology · Statistics 2026-04-24 Mengran Li , Daniela Castro-Camilo

Extreme hydrological events in the Danube river basin may severely impact human populations, aquatic organisms, and economic activity. One often characterizes the joint structure of the extreme events using the theory of multivariate and…

Applications · Statistics 2020-04-02 Linda Mhalla , Valérie Chavez-Demoulin , Debbie J. Dupuis

We describe a method for inferring linear causal relations among multi-dimensional variables. The idea is to use an asymmetry between the distributions of cause and effect that occurs if both the covariance matrix of the cause and the…

Machine Learning · Statistics 2009-09-25 Dominik Janzing , Patrik O. Hoyer , Bernhard Schoelkopf

Determining causal relationship between high dimensional observations are among the most important tasks in scientific discoveries. In this paper, we revisited the \emph{linear trace method}, a technique proposed…

Machine Learning · Computer Science 2023-03-15 Arun Jambulapati , Hilaf Hasson , Youngsuk Park , Yuyang Wang

A fundamental task in science is to determine the underlying causal relations because it is the knowledge of this functional structure what leads to the correct interpretation of an effect given the apparent associations in the observed…

Artificial Intelligence · Computer Science 2024-08-02 Alexandre Trilla , Nenad Mijatovic

The behavior of extreme observations is well-understood for time series or spatial data, but little is known if the data generating process is a structural causal model (SCM). We study the behavior of extremes in this model class, both for…

Methodology · Statistics 2025-03-11 Sebastian Engelke , Nicola Gnecco , Frank Röttger

Numerical climate models are complex and combine a large number of physical processes. They are key tools in quantifying the relative contribution of potential anthropogenic causes (e.g., the current increase in greenhouse gases) on high…

Applications · Statistics 2020-05-19 Anna Kiriliouk , Philippe Naveau

Multivariate extreme value analysis quantifies the probability and magnitude of joint extreme events. River discharges from the upper Danube River basin provide a challenging dataset for such analysis because the data, which is measured on…

Methodology · Statistics 2025-04-14 Aiden Farrell , Emma F. Eastoe , Clement Lee

Extreme events are often multivariate in nature. A compound extreme occurs when a combination of variables jointly produces a significant impact, even if individual components are not necessarily marginally extreme. Compound extremes have…

Methodology · Statistics 2025-09-24 Cathy Yin , Adam M. Sykulski , Almut E. D. Veraart

Comparing counterfactual distributions can provide more nuanced and valuable measures for causal effects, going beyond typical summary statistics such as averages. In this work, we consider characterizing causal effects via distributional…

Machine Learning · Statistics 2024-11-05 Kwangho Kim , Jisu Kim , Edward H. Kennedy

Several environmental phenomena can be described by different correlated variables that must be considered jointly in order to be more representative of the nature of these phenomena. For such events, identification of extremes is…

Applications · Statistics 2018-03-15 Raúl Torres , Carlo De Michele , Henry Laniado , Rosa E. Lillo

We propose a method to distinguish causal influence from hidden confounding in the following scenario: given a target variable Y, potential causal drivers X, and a large number of background features, we propose a novel criterion for…

Machine Learning · Statistics 2022-02-07 You-Lin Chen , Lenon Minorics , Dominik Janzing

Causal discovery estimates the underlying physical process that generates the observed data: does X cause Y or does Y cause X? Current methodologies use structural conditions to turn the causal query into a statistical query, when only…

Machine Learning · Statistics 2020-08-14 Martin Jørgensen , Søren Hauberg

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

Methodology · Statistics 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Much of the causal discovery literature prioritises guaranteeing the identifiability of causal direction in statistical models. For structures within a Markov equivalence class, this requires strong assumptions which may not hold in…

Machine Learning · Statistics 2024-05-29 Anish Dhir , Samuel Power , Mark van der Wilk

Determining the causes of extreme events is a fundamental question in many scientific fields. An important aspect when modelling multivariate extremes is the tail dependence. In application, the extreme dependence structure may…

Methodology · Statistics 2022-12-21 Juraj Bodik , Linda Mhalla , Valérie Chavez-Demoulin

Causal discovery algorithms infer causal relations from data based on several assumptions, including notably the absence of measurement error. However, this assumption is most likely violated in practical applications, which may result in…

Machine Learning · Computer Science 2022-08-31 Tineke Blom , Anna Klimovskaia , Sara Magliacane , Joris M. Mooij

This paper deals with the problem of evaluating the causal effect using observational data in the presence of an unobserved exposure/ outcome variable, when cause-effect relationships between variables can be described as a directed acyclic…

Methodology · Statistics 2012-06-18 Manabu Kuroki , Zhihong Cai

Causal discovery methods aim to infer causal direction from observational data. Functional causal discovery approaches use structural asymmetries to identify causal directionality but rely on strong modeling assumptions and provide limited…

Methodology · Statistics 2026-05-14 Shreya Prakash , Fan Xia , Elena A. Erosheva
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