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Fault Tree analysis is a widely used failure analysis methodology to assess a system in terms of safety or reliability in many industrial application domains. However, with Fault Tree methodology there is no possibility to express a…

软件工程 · 计算机科学 2021-06-02 Marc Zeller , Francesco Montrone

Fault Tree Analysis (FTA) is a well-established method in failure analysis and is widely used in safety and reliability assessments. While FTA tools enable users to manage complex analyses effectively, they can sometimes obscure the…

系统与控制 · 电气工程与系统科学 2025-07-09 Hamid Jahanian

Complexity has gained recent attention in machine learning for its ability to extract synthetic information from large datasets. Complex dynamical systems are characterized by temporal complexity associated with intermittent birth-death…

计算物理 · 物理学 2026-05-27 Marco Cafiso , Paolo Paradisi

Estimating failure probabilities of engineering systems is an important problem in many engineering fields. In this work we consider such problems where the failure probability is extremely small (e.g $\leq10^{-10}$). In this case, standard…

数值分析 · 数学 2017-05-24 Xinjuan Chen , Jinglai Li

Monte Carlo Tree Search (MCTS) has shown its strength for a lot of deterministic and stochastic examples, but literature lacks reports of applications to real world industrial processes. Common reasons for this are that there is no…

人工智能 · 计算机科学 2021-08-05 Dorina Weichert , Felix Horchler , Alexander Kister , Marcus Trost , Johannes Hartung , Stefan Risse

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…

概率论 · 数学 2014-12-19 Anindya Goswami , François Le Gland

Safe reinforcement learning has many variants and it is still an open research problem. Here, we focus on how to use action guidance by means of a non-expert demonstrator to avoid catastrophic events in a domain with sparse, delayed, and…

机器学习 · 计算机科学 2019-04-12 Bilal Kartal , Pablo Hernandez-Leal , Chao Gao , Matthew E. Taylor

In this study, we propose a method Distributionally Robust Safe Screening (DRSS), for identifying unnecessary samples and features within a DR covariate shift setting. This method effectively combines DR learning, a paradigm aimed at…

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

数值分析 · 数学 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

Finding and sampling rare trajectories in dynamical systems is a difficult computational task underlying numerous problems and applications. In this paper we show how to construct Metropolis- Hastings Monte Carlo methods that can…

混沌动力学 · 物理学 2017-10-16 Jorge C. Leitao , Joao M. Viana Parente Lopes , Eduardo G. Altmann

We present an algorithm for finding the probabilities of rare events in nonequilibrium processes. The algorithm consists of evolving the system with a modified dynamics for which the required event occurs more frequently. By keeping track…

统计力学 · 物理学 2011-04-07 Anupam Kundu , Sanjib Sabhapandit , Abhishek Dhar

Evaluating the performance of autonomous vehicles (AV) and their complex subsystems to high precision under naturalistic circumstances remains a challenge, especially when failure or dangerous cases are rare. Rarity does not only require an…

机器学习 · 计算机科学 2022-04-07 Mansur Arief , Zhepeng Cen , Zhenyuan Liu , Zhiyuang Huang , Henry Lam , Bo Li , Ding Zhao

Understanding systems by forward and inverse modeling is a recurrent topic of research in many domains of science and engineering. In this context, Monte Carlo methods have been widely used as powerful tools for numerical inference and…

统计计算 · 统计学 2022-02-14 F. Llorente , L. Martino , D. Delgado , G. Camps-Valls

Rare events are processes that occur upon the emergence of unlikely fluctuations. Unlike what their name suggests, rare events are fairly ubiquitous in nature, as the occurrence of many structural transformations in biology and material…

统计力学 · 物理学 2020-02-26 Sarwar Hussain , Amir Haji-Akbari

Value-at-Risk (VaR) estimation at high confidence levels is inherently a rare-event problem and is particularly sensitive to tail behavior and model misspecification. This paper studies the performance of two simulation-based VaR estimation…

风险管理 · 定量金融 2026-01-16 Aditri

One of the important tasks of the Reliability Estimation is Analysis of the Fault Tree. A problem of Fault Trees analysis is considered one of the most complex ones, since structure of such trees is characterized by a considerable number of…

软件工程 · 计算机科学 2016-02-12 Sergey Porotsky

Knowing the features of a complex system that are highly relevant to a particular target variable is of fundamental interest in many areas of science. Existing approaches are often limited to linear settings, sometimes lack guarantees, and…

机器学习 · 计算机科学 2023-07-06 Francesco Quinzan , Ashkan Soleymani , Patrick Jaillet , Cristian R. Rojas , Stefan Bauer

In multi-agent safety-critical scenarios, traditional autonomous driving frameworks face significant challenges in balancing safety constraints and task performance. These frameworks struggle to quantify dynamic interaction risks in…

机器人学 · 计算机科学 2025-04-10 Kaifeng Wang , Yinsong Chen , Qi Liu , Xueyuan Li , Xin Gao

The performance of coverage-based fault localization greatly depends on the quality of test cases being executed. These test cases execute some lines of the given program and determine whether the underlying tests are passed or failed. In…

软件工程 · 计算机科学 2020-06-17 Shuvalaxmi Dass , Xiaozhen Xue , Akbar Siami Namin

Rare events in molecular dynamics are often related to noise-induced transitions between different macroscopic states (e.g., in protein folding). A common feature of these rare transitions is that they happen on timescales that are on…