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Rare event probability estimation is an important topic in reliability analysis. Stochastic methods, such as importance sampling, have been developed to estimate such probabilities but they often fail in high dimension. In this paper, we…

统计计算 · 统计学 2021-08-24 Maxime El-Masri , Jérôme Morio , Florian Simatos

Intelligent systems are increasingly integral to our daily lives, yet rare safety-critical events present significant latent threats to their practical deployment. Addressing this challenge hinges on accurately predicting the probability of…

机器学习 · 计算机科学 2024-04-08 Ruoxuan Bai , Jingxuan Yang , Weiduo Gong , Yi Zhang , Qiujing Lu , Shuo Feng

In reliability engineering, we need to understand system dependencies, cause-effect relations, identify critical components, and analyze how they trigger failures. Three prominent graph models commonly used for these purposes are fault…

其他计算机科学 · 计算机科学 2023-10-10 L. A. Jimenez-Roa , T. Heskes , M. Stoelinga

Classical measures of structural reliability, such as the probability of failure and the related reliability index, are still widely applied in practice. However, these measures are frequency-based only, and they do not give information…

统计方法学 · 统计学 2025-08-19 Moussa Leblouba , Samer Barakat , Raghad Awad

An overview of rare events algorithms based on large deviation theory (LDT) is presented. It covers a range of numerical schemes to compute the large deviation minimizer in various setups, and discusses best practices, common pitfalls, and…

统计力学 · 物理学 2019-07-24 Tobias Grafke , Eric Vanden-Eijnden

This paper considers importance sampling for estimation of rare-event probabilities in a specific collection of Markovian jump processes used for e.g. modelling of credit risk. Previous attempts at designing importance sampling algorithms…

概率论 · 数学 2021-12-02 Boualem Djehiche , Henrik Hult , Pierre Nyquist

This paper considers the classical problem of sampling with Monte Carlo methods a target rare event distribution defined by a score function that is very expensive to compute. We assume we can build using evaluations of the true score, an…

统计计算 · 统计学 2024-10-25 Frédéric Cérou , Patrick Héas , Mathias Rousset

The increasing frequency of extreme weather events has posed significant risks to the operation of power grids. During long-duration extreme weather events, microgrid formation (MF) is an essential solution to enhance the resilience of the…

系统与控制 · 电气工程与系统科学 2024-06-03 Ziang Liu , Sheng Cai , Qiuwei Wu , Xinwei Shen , Xuan Zhang , Nikos Hatziargyriou

Deep Reinforcement Learning (DRL) is a viable solution for automating repetitive surgical subtasks due to its ability to learn complex behaviours in a dynamic environment. This task automation could lead to reduced surgeon's cognitive…

Despite achieving excellent performance on benchmarks, deep neural networks often underperform in real-world deployment due to sensitivity to minor, often imperceptible shifts in input data, known as distributional shifts. These shifts are…

机器学习 · 计算机科学 2025-09-25 Birk Torpmann-Hagen , Pål Halvorsen , Michael A. Riegler , Dag Johansen

In this paper, we employ a Bayesian approach to uncertainty quantification of computer simulations used to assess the probability of rare events. As a case study, we assess the reliability of an Earth reentry capsule for sample return…

应用统计 · 统计学 2025-07-11 Dawn L. Sanderson , Amy Braverman , Giuseppe Cataldo , Ralph C. Smith , Richard L. Smith

Deep neural networks (DNNs) have made a revolution in numerous fields during the last decade. However, in tasks with high safety requirements, such as medical or autonomous driving applications, providing an assessment of the models…

机器学习 · 计算机科学 2020-11-20 Omer Achrack , Raizy Kellerman , Ouriel Barzilay

Efficient sampling from un-normalized target distributions is pivotal in scientific computing and machine learning. While neural samplers have demonstrated potential with a special emphasis on sampling efficiency, existing neural implicit…

机器学习 · 计算机科学 2024-11-05 Weijian Luo , Wei Deng

Running a reliability analysis on engineering problems involving complex numerical models can be computationally very expensive, requiring advanced simulation methods to reduce the overall numerical cost. Gaussian process based active…

While Deep Reinforcement Learning (DRL) provides transformational capabilities to the control of Robotics and Autonomous Systems (RAS), the black-box nature of DRL and uncertain deployment environments of RAS pose new challenges on its…

机器人学 · 计算机科学 2023-01-16 Yi Dong , Xingyu Zhao , Xiaowei Huang

Reasoning about causes and effects naturally arises in the engineering of safety-critical systems. A classical example is Fault Tree Analysis, a deductive technique used for system safety assessment, whereby an undesired state is reduced to…

人工智能 · 计算机科学 2017-10-11 Marco Bozzano

Importance sampling is a well developed method in statistics. Given a random variable $X$, the problem of estimating its expected value $\mu$ is addressed. The standard approach is to use the sample mean as an estimator $\bar x$. In…

应用统计 · 统计学 2014-05-09 Georg Hofmann

The REST-for-Physics (Rare Event Searches Toolkit for Physics) framework is a ROOT-based solution providing the means to process and analyze experimental or Monte Carlo event data. Special care has been taken on the traceability of the code…

The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While typically reliable methods, such as the Gillespie algorithm,…

统计力学 · 物理学 2024-12-03 Elad Korngut , Ohad Vilk , Michael Assaf

The idea of rare event sampling is applied to the estimation of the performance of error-correcting codes. The essence of the idea is importance sampling of the pattern of noises in the channel by Multicanonical Monte Carlo, which enables…

无序系统与神经网络 · 物理学 2009-11-13 Yukito Iba , Koji Hukushima