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Observed accidents have been the main resource for road safety analysis over the past decades. Although such reliance seems quite straightforward, the rare nature of these events has made safety difficult to assess, especially for new and…

Applications · Statistics 2019-11-22 Joana Cavadas , Carlos Lima Azevedo , Haneen Farah , Ana Ferreira

Differential testing is a highly effective technique for automatically detecting software bugs and vulnerabilities when the specifications involve an analysis over multiple executions simultaneously. Differential fuzzing, in particular,…

Software Engineering · Computer Science 2025-11-06 Rafael Baez , Alejandro Olivas , Nathan K. Diamond , Marcelo Frias , Yannic Noller , Saeid Tizpaz-Niari

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

Machine Learning · Computer Science 2023-10-12 Jincheng Wang , Yue Gao

Accurate prediction of traffic crash risks for individual vehicles is essential for enhancing vehicle safety. While significant attention has been given to traffic crash risk prediction, existing studies face two main challenges: First, due…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Kequan Chen , Pan Liu , Yuxuan Wang , David Z. W. Wang , Yifan Dai , Zhibin Li

We exploit the asymptotic normality of the extreme value theory (EVT) based estimators of the parameters of a symmetric L\'evy-stable distribution, to construct confidence intervals. The accuracy of these intervals is evaluated through a…

Statistics Theory · Mathematics 2019-04-11 Djamel Meraghni , Louiza Soltane

Estimating the probabilistic Worst-Case Execution Time (pWCET) is essential for ensuring the timing correctness of real-time applications, such as in robot IoT systems and autonomous driving systems. While methods based on Extreme Value…

Machine Learning · Statistics 2025-11-18 Hayate Toba , Atsushi Yano , Takuya Azumi

The widescale deployment of Autonomous Vehicles (AV) seems to be imminent despite many safety challenges that are yet to be resolved. It is well known that there are no universally agreed Verification and Validation (VV) methodologies to…

Robotics · Computer Science 2020-03-05 Dhanoop Karunakaran , Stewart Worrall , Eduardo Nebot

When extreme weather events affect large areas, their regional to sub-continental spatial scale is important for their impacts. We propose a novel machine learning (ML) framework that integrates spatial extreme-value theory to model weather…

Applications · Statistics 2025-05-29 Jonathan Koh , Daniel Steinfeld , Olivia Martius

A key building block in the design of ultra-reliable communication systems is a wireless channel model that captures the statistics of rare events occurring due to significant fading. In this paper, we propose a novel methodology based on…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Niloofar Mehrnia , Sinem Coleri

Extreme event attribution (EEA), an approach for assessing the extent to which disasters are caused by climate change, is crucial for informing climate policy and legal proceedings. Machine learning is increasingly used for EEA by modeling…

Applications · Statistics 2025-11-25 Cassandra C. Chou , Scott L. Zeger , Benjamin Q. Huynh

Extreme value theory provides rigorous theory and statistical tools for extrapolation in machine learning, particularly in settings where traditional methods struggle due to data scarcity in the tails. A broad range of tasks benefit from…

Machine Learning · Statistics 2026-05-05 Sebastian Engelke , Nicola Gnecco , Anne Sabourin

This paper addresses the critical challenge of estimating the reliability of an Electric Vehicle (EV) charging systems when facing risks such as overheating, unpredictable, weather, and cyberattacks. Traditional methods for predicting…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Himanshu Tripathi , Subash Neupane , Shahram Rahimi , Noorbakhsh Amiri Golilarz , Sudip Mittal , Mohammad Sepehrifar

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

Methodology · Statistics 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

This paper presents an innovative approach to Extreme Value Analysis (EVA) by introducing the Extreme Value Dynamic Benchmarking Method (EVDBM). EVDBM integrates extreme value theory to detect extreme events and is coupled with the novel…

Data-driven software is increasingly being used as a critical component of automated decision-support systems. Since this class of software learns its logic from historical data, it can encode or amplify discriminatory practices. Previous…

Software Engineering · Computer Science 2025-01-22 Verya Monjezi , Ashutosh Trivedi , Vladik Kreinovich , Saeid Tizpaz-Niari

The heavy-tailed behavior of the generalized extreme-value distribution makes it a popular choice for modeling extreme events such as floods, droughts, heatwaves, wildfires, etc. However, estimating the distribution's parameters using…

Risk measures such as Conditional Value-at-Risk (CVaR) focus on extreme losses, where scarce tail data makes model error unavoidable. To hedge misspecification, one evaluates worst-case tail risk over an ambiguity set. Using Extreme Value…

Risk Management · Quantitative Finance 2026-01-22 Anand Deo

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

Machine Learning · Computer Science 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Capturing the dependence structure of multivariate extreme events is a major concern in many fields involving the management of risks stemming from multiple sources, e.g. portfolio monitoring, insurance, environmental risk management and…

Machine Learning · Statistics 2016-03-15 Nicolas Goix , Anne Sabourin , Stéphan Clémençon

It is important to understand to what extent, and in what perspectives, cyber attacks can be predicted. Despite its evident importance, this problem was not investigated until very recently, when we proposed using the innovative methodology…

Cryptography and Security · Computer Science 2016-03-25 Zhenxin Zhan , Maochao Xu , Shouhuai Xu