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Related papers: Scoring Predictions at Extreme Quantiles

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Multiple studies have now demonstrated that machine learning (ML) can give improved skill for predicting or simulating fairly typical weather events, for tasks such as short-term and seasonal weather forecasting, downscaling simulations to…

Atmospheric and Oceanic Physics · Physics 2023-08-30 Peter AG Watson

The present article is devoted to the semi-parametric estimation of multivariate expectiles for extreme levels. The considered multivariate risk measures also include the possible conditioning with respect to a functional covariate,…

Statistics Theory · Mathematics 2023-03-30 Elena Di Bernardino , Thomas Laloë , Cambyse Pakzad

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

This paper investigates the use of extreme value theory for modelling the distribution of demand-net-of-wind for capacity adequacy assessment. Extreme value theory approaches are well-established and mathematically justified methods for…

Applications · Statistics 2019-07-31 Amy L Wilson , Stan Zachary

Real-time probability forecasts for binary outcomes are routine in sports, online experimentation, medicine, and finance. Retrospective narratives, however, often hinge on pathwise extremes: for example, a forecast that becomes "90%…

Applications · Statistics 2026-04-03 Jonathan Pipping-Gamón , Abraham J. Wyner

Weather extremes produce major impacts on society and ecosystems and are likely to change in likelihood and magnitude with climate change. However, very low probability events are hard to characterize statistically using observations or…

Applications · Statistics 2026-04-28 Christopher J. Paciorek , Daniel Cooley

We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of chaotic dynamical systems. The observables have either a Fr\'echet (fat-tailed)…

Dynamical Systems · Mathematics 2023-11-07 Meagan Carney , Mark Holland , Matthew Nicol , Phuong Tran

Forecast combination has been proven to be a very important technique to obtain accurate predictions. In many applications, forecast errors exhibit heavy tail behaviors for various reasons. Unfortunately, to our knowledge, little has been…

Methodology · Statistics 2015-08-27 Gang Cheng , Sicong Wang , Yuhong Yang

This paper addresses the critical challenge of improving predictions of climate extreme events, specifically heat waves, using machine learning methods. Our work is framed as a classification problem in which we try to predict whether…

Machine Learning · Computer Science 2025-11-17 Julien Collard , Pierre Gentine , Tian Zheng

Uncertainty analysis in the form of probabilistic forecasting can provide significant improvements in decision-making processes in the smart power grid for better integrating renewable energies such as wind. Whereas point forecasting…

Machine Learning · Statistics 2018-03-30 Kostas Hatalis , Shalinee Kishore , Katya Scheinberg , Alberto Lamadrid

Probabilistic forecasts comprehensively describe the uncertainty in the unknown future outcome, making them essential for decision making and risk management. While several methods have been introduced to evaluate probabilistic forecasts,…

Methodology · Statistics 2025-05-23 Sam Allen , Jonathan Koh , Johan Segers , Johanna Ziegel

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

Methodology · Statistics 2012-03-13 B. D. Youngman

The main approach to inference for multivariate extremes consists in approximating the joint upper tail of the observations by a parametric family arising in the limit for extreme events. The latter may be expressed in terms of…

Methodology · Statistics 2015-06-17 Raphaël Huser , Anthony C. Davison , Marc G. Genton

Incorporation of expert information in inference or decision settings is often important, especially in cases where data are unavailable, costly or unreliable. One approach is to elicit prior quantiles from an expert and then to fit these…

Statistics Theory · Mathematics 2016-11-04 Nicholas M. Kiefer

There is an increasing interest to understand the dependence structure of a random vector not only in the center of its distribution but also in the tails. Extreme-value theory tackles the problem of modelling the joint tail of a…

Methodology · Statistics 2014-11-04 Anna Kiriliouk , Johan Segers , Michal Warchol

Context: Software engineering has a problem in that when we empirically evaluate competing prediction systems we obtain conflicting results. Objective: To reduce the inconsistency amongst validation study results and provide a more formal…

Software Engineering · Computer Science 2021-01-15 Martin Shepperd , Stephen G. MacDonell

Causal effect estimation seeks to determine the impact of an intervention from observational data. However, the existing causal inference literature primarily addresses treatment effects on frequently occurring events. But what if we are…

Machine Learning · Statistics 2025-06-18 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

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 establish a statistical learning theoretical framework aimed at extrapolation, or out-of-domain generalization, on the unobserved tails of covariates in continuous regression problems. Our strategy involves performing statistical…

Machine Learning · Statistics 2025-09-15 Stephan Clémençon , Nathan Huet , Anne Sabourin

Forecast evaluations aim to choose an accurate forecast for making decisions by using loss functions. However, different loss functions often generate different ranking results for forecasts, which complicates the task of comparisons. In…

Applications · Statistics 2018-07-17 Yu-Min Yen , Tso-Jung Yen