Deep learning of multivariate extremes via a geometric representation

CJR Murphy-Barltrop, R Majumder… - arXiv preprint arXiv …, 2024 - arxiv.org
The study of geometric extremes, where extremal dependence properties are inferred from
the deterministic limiting shapes of scaled sample clouds, provides an exciting approach to …

Inference and sampling for archimax copulas

Y Ng, A Hasan, V Tarokh - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Understanding multivariate dependencies in both the bulk and the tails of a distribution is an
important problem for many applications, such as ensuring algorithms are robust to …

On the simulation of extreme events with neural networks

M Allouche, S Girard, E Gobet - 2024 - inria.hal.science
This article aims at investigating the use of generative methods based on neural networks to
simulate extreme events. Although very popular, these methods are mainly invoked in …

Deep generative modeling of multivariate dependent extremes

S Girard, E Gobet, J Pachebat - 2024 - inria.hal.science
Dealing with extreme values is a major challenge in probabilistic modeling, of great
importance in various application domains such as economics, engineering and life …

Distributionally Robust Optimization as a Scalable Framework to Characterize Extreme Value Distributions

PK Kuiper, A Hasan, W Yang, J Blanchet… - The 40th Conference on … - openreview.net
The goal of this paper is to develop distributionally robust optimization (DRO) estimators,
specifically for multidimensional Extreme Value Theory (EVT) statistics. EVT supports using …

Modeling Archimedean, Extreme-Value and Archimax Copulas with Neural Networks

Y Ng - 2023 - search.proquest.com
Copulas are popular in high-dimensional statistical applications as they allow for
dependence modeling with arbitrary margins. They are also used in rare event analysis …

Representation Learning for Extremes

A Hasan, Y Ng, J Blanchet, V Tarokh - NeurIPS 2023 Workshop Heavy … - openreview.net
Extreme events are potentially catastrophic events that occur infrequently within an
observation time frame, and it is necessary to understand the distribution of these events to …