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Complex Event Recognition applications exhibit various types of uncertainty, ranging from incomplete and erroneous data streams to imperfect complex event patterns. We review Complex Event Recognition techniques that handle, to some extent,…

Databases · Computer Science 2017-02-22 Elias Alevizos , Anastasios Skarlatidis , Alexander Artikis , George Paliouras

Estimation of extreme quantile regions, spaces in which future extreme events can occur with a given low probability, even beyond the range of the observed data, is an important task in the analysis of extremes. Existing methods to estimate…

Methodology · Statistics 2020-10-28 Boris Beranger , Simone A. Padoan , Scott A. Sisson

Propensity scores are commonly used to estimate treatment effects from observational data. We argue that the probabilistic output of a learned propensity score model should be calibrated -- i.e., a predictive treatment probability of 90%…

Methodology · Statistics 2024-06-06 Shachi Deshpande , Volodymyr Kuleshov

In this paper we focus on the problem of assigning uncertainties to single-point predictions generated by a deterministic model that outputs a continuous variable. This problem applies to any state-of-the-art physics or engineering models…

Machine Learning · Statistics 2020-03-12 Enrico Camporeale , Algo Carè

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

Decision support systems are essential for maintaining grid stability in low-carbon power systems, such as wind power plants, by providing real-time alerts to control room operators regarding potential events, including Wind Power Ramp…

Accurate estimation of the T-year return levels of climate extremes using statistical distribution is a critical step in the projection of future climate and in engineering design for disaster response. We show how the estimation of such…

Methodology · Statistics 2024-12-06 Yire Shin , Jeong-Soo Park

In natural phenomena, data distributions often deviate from normality. One can think of cataclysms as a self-explanatory example: events that occur almost never, and at the same time are many standard deviations away from the common…

Machine Learning · Computer Science 2022-12-16 Nuno Costa , Nuno Moniz

We propose and compare methods for the analysis of extreme events in complex systems governed by PDEs that involve random parameters, in situations where we are interested in quantifying the probability that a scalar function of the…

Optimization and Control · Mathematics 2025-08-12 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

We propose a new method to test the effectiveness of a spatial point process forecast based on a log-likelihood score for predicted point density and the information gain for events that actually occurred in the test period. The method…

Data Analysis, Statistics and Probability · Physics 2010-11-24 Yan Y. Kagan

Calibrating blackbox machine learning models to achieve risk control is crucial to ensure reliable decision-making. A rich line of literature has been studying how to calibrate a model so that its predictions satisfy explicit finite-sample…

Machine Learning · Statistics 2025-06-02 Victor Li , Baiting Chen , Yuzhen Mao , Qi Lei , Zhun Deng

Extreme events are of great importance since they often represent impactive occurrences. For instance, in terms of climate and weather, extreme events might be major storms, floods, extreme heat or cold waves, and more. However, they are…

Machine Learning · Computer Science 2024-09-24 Jimeng Shi , Azam Shirali , Giri Narasimhan

The gaussian spread regression model for the calibration of site specific ensemble temperature forecasts depends on the apparently restrictive assumption that the uncertainty around temperature forecasts is normally distributed. We…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Statistical inference for extreme values of random events is difficult in practice due to low sample sizes and inaccurate models for the studied rare events. If prior knowledge for extreme values is available, Bayesian statistics can be…

Methodology · Statistics 2022-05-18 Tobias Kallehauge

The statistical modelling of spatial extremes has recently made major advances. Much of its focus so far has been on the modelling of the magnitudes of extreme events but little attention has been paid on the timing of extremes. To address…

Statistics Theory · Mathematics 2015-03-20 Clément Dombry , Mathieu Ribatet , Stilian Stoev

Systemic risk measures have been shown to be predictive of financial crises and declines in real activity. Thus, forecasting them is of major importance in finance and economics. In this paper, we propose a new forecasting method for…

Methodology · Statistics 2025-04-23 Yannick Hoga

The extreme event statistics plays a very important role in the theory and practice of time series analysis. The reassembly of classical theoretical results is often undermined by non-stationarity and dependence between increments.…

Statistical Finance · Quantitative Finance 2015-05-28 Mauro Politi , Nicolas Millot , Anirban Chakraborti

Ecological forecasts are model-based statements about currently unknown ecosystem states in time or space. For a model forecast to be useful to inform decision makers, model validation and verification determine adequateness. The measure of…

Many forecasts consist not of point predictions but concern the evolution of quantities. For example, a central bank might predict the interest rates during the next quarter, an epidemiologist might predict trajectories of infection rates,…

Methodology · Statistics 2021-11-12 Patric Bonnier , Harald Oberhauser

Scoring rules measure the deviation between a probabilistic forecast and reality. Strictly proper scoring rules have the property that for any forecast, the mathematical expectation of the score of a forecast p by the lights of p is…

Probability · Mathematics 2022-09-28 Alexander R. Pruss
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