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Recently there has been growing interest in modeling sets with exchangeability such as point clouds. A shortcoming of current approaches is that they restrict the cardinality of the sets considered or can only express limited forms of…

Machine Learning · Computer Science 2020-12-14 Mengjiao Yang , Bo Dai , Hanjun Dai , Dale Schuurmans

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

Distribution grid operation faces new challenges caused by a rising share of renewable energy sources and the introduction of additional types of loads to the grid. With the increasing adoption of distributed generation and emerging…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Sebastian Peter , Daniel Feismann , Johannes Bao , Thomas Oberließen , Christian Rehtanz

Evaluating rare-event forecasts is challenging because standard metrics collapse as event prevalence declines. Measures such as F1-score, AUPRC, MCC, and accuracy induce degenerate thresholds -- converging to zero or one -- and their values…

Methodology · Statistics 2025-12-02 Sotirios D. Nikolopoulos

Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

Methodology · Statistics 2025-07-03 Daphné Aurouet , Valentin Patilea

This work proposes a method for using any generator network as the foundation of an Energy-Based Model (EBM). Our formulation posits that observed images are the sum of unobserved latent variables passed through the generator network and a…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Mitch Hill , Erik Nijkamp , Jonathan Mitchell , Bo Pang , Song-Chun Zhu

By their very nature, rare event probabilities are expensive to compute; they are also delicate to estimate as their value strongly depends on distributional assumptions on the model parameters. Hence, understanding the sensitivity of the…

Numerical Analysis · Mathematics 2021-10-28 Michael Merritt , Alen Alexanderian , Pierre Gremaud

A leading goal for climate science and weather risk management is to accurately model both the physics and statistics of extreme events. These two goals are fundamentally at odds: the higher a computational model's resolution, the more…

Atmospheric and Oceanic Physics · Physics 2024-02-06 Justin Finkel , Paul A. O'Gorman

Energy based models (EBMs) are appealing due to their generality and simplicity in likelihood modeling, but have been traditionally difficult to train. We present techniques to scale MCMC based EBM training on continuous neural networks,…

Machine Learning · Computer Science 2020-07-01 Yilun Du , Igor Mordatch

The tail of a bivariate distribution function in the domain of attraction of a bivariate extreme-value distribution may be approximated by the one of its extreme-value attractor. The extreme-value attractor has margins that belong to a…

Statistics Theory · Mathematics 2012-05-14 Simon Guillotte , Francois Perron , Johan Segers

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

Methodology · Statistics 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

We address causal estimation in semi-competing risks settings, where a non-terminal event may be precluded by one or more terminal events. We define a principal-stratification causal estimand for treatment effects on the non-terminal event,…

Methodology · Statistics 2025-06-27 Karina Gelis-Cadena , Michael Daniels , Juned Siddique

Conventional methods for extreme event estimation rely on well-chosen parametric models asymptotically justified from extreme value theory (EVT). These methods, while powerful and theoretically grounded, could however encounter a difficult…

Methodology · Statistics 2023-01-05 Yuanlu Bai , Henry Lam , Xinyu Zhang

Rare events play a key role in many applications and numerous algorithms have been proposed for estimating the probability of a rare event. However, relatively little is known on how to quantify the sensitivity of the probability with…

Probability · Mathematics 2019-02-06 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Luc Rey-Bellet

We consider the general problem of estimating probabilities which arise as a union of dependent events. We propose a flexible series of estimators for such probabilities, and describe variance reduction schemes applied to the proposed…

Probability · Mathematics 2016-10-10 Lars Nørvang Andersen , Patrick J. Laub , Leonardo Rojas-Nandayapa

Statistical modeling of multivariate and spatial extreme events has attracted broad attention in various areas of science. Max-stable distributions and processes are the natural class of models for this purpose, and many parametric families…

Methodology · Statistics 2017-08-09 Clement Dombry , Sebastian Engelke , Marco Oesting

In this paper we use splitting technique to estimate the probability of hitting a rare but critical set by the continuous component of a switching diffusion. Instead of following classical approach we use Wonham filter to achieve multiple…

Probability · Mathematics 2014-12-19 Anindya Goswami , François Le Gland

Deep learning architectures have been widely fostered throughout the last years, being used in a wide range of applications, such as object recognition, image reconstruction, and signal processing. Nevertheless, such models suffer from a…

Machine Learning · Computer Science 2021-01-19 Mateus Roder , Gustavo H. de Rosa , Victor Hugo C. de Albuquerque , André L. D. Rossi , João P. Papa

Stated choice probabilities are increasingly used in conjunction with the random-coefficient model (RCM) to describe individual preferences. They allow survey respondents to express uncertainty about the future or the incompleteness of a…

General Economics · Economics 2025-03-19 Romuald Meango

Latent space Energy-Based Models (EBMs), also known as energy-based priors, have drawn growing interests in the field of generative modeling due to its flexibility in the formulation and strong modeling power of the latent space. However,…

Machine Learning · Computer Science 2023-10-06 Peiyu Yu , Yaxuan Zhu , Sirui Xie , Xiaojian Ma , Ruiqi Gao , Song-Chun Zhu , Ying Nian Wu