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Obtaining the ability to make informed decisions regarding the operation and maintenance of structures, provides a major incentive for the implementation of structural health monitoring (SHM) systems. Probabilistic risk assessment (PRA) is…

Applications · Statistics 2021-01-06 Aidan J. Hughes , Robert J. Barthorpe , N. Dervilis , Charles R. Farrar , Keith Worden

A novel probabilistic numerical method for quantifying the uncertainty induced by the time integration of ordinary differential equations (ODEs) is introduced. Departing from the classical strategy to randomize ODE solvers by adding a…

Numerical Analysis · Mathematics 2020-06-26 Assyr Abdulle , Giacomo Garegnani

Attack trees are considered a useful tool for security modelling because they support qualitative as well as quantitative analysis. The quantitative approach is based on values associated to each node in the tree, expressing, for instance,…

Cryptography and Security · Computer Science 2019-01-11 Ahto Buldas , Olga Gadyatskaya , Aleksandr Lenin , Sjouke Mauw , Rolando Trujillo-Rasua

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

The importance of mission or safety critical software systems in many application domains of embedded systems is continuously growing, and so is the effort and complexity for reliability and safety analysis. Model driven development is…

Software Engineering · Computer Science 2021-06-01 Kai Hoefig , Andreas Joanni , Marc Zeller , Francesco Montrone , Martin Rothfelder , Rakshith Amarnath , Peter Munk , Arne Nordmann

Accurate estimates of long-term risk probabilities and their gradients are critical for many stochastic safe control methods. However, computing such risk probabilities in real-time and in unseen or changing environments is challenging.…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Zhuoyuan Wang , Yorie Nakahira

The Cross Entropy method is a well-known adaptive importance sampling method for rare-event probability estimation, which requires estimating an optimal importance sampling density within a parametric class. In this article we estimate an…

Computation · Statistics 2013-10-15 Z. I. Botev , A. Ridder , L. Rojas-Nandayapa

In this paper, we compare the performance of two scenario-based numerical methods to solve stochastic optimal control problems: scenario trees and particles. The problem consists in finding strategies to control a dynamical system perturbed…

Optimization and Control · Mathematics 2010-02-10 Pierre Girardeau

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

Data Structures and Algorithms · Computer Science 2023-10-25 Andre Linhares , Chaitanya Swamy

Time domain simulation is the basis of dynamic security assessment for power systems. Traditionally, numerical integration methods are adopted by simulation software to solve nonlinear power system differential-algebraic equations about any…

Systems and Control · Computer Science 2018-04-23 Bin Wang , Nan Duan , Kai Sun

Quantiles and expected shortfalls are usually used to measure risks of stochastic systems, which are often estimated by Monte Carlo methods. This paper focuses on the use of quasi-Monte Carlo (QMC) method, whose convergence rate is…

Numerical Analysis · Mathematics 2020-05-07 Zhijian He , Xiaoqun Wang

The stochastic simulation algorithm (SSA) and the corresponding Monte Carlo (MC) method are among the most common approaches for studying stochastic processes. They rely on knowledge of interevent probability density functions (PDFs) and on…

Computation · Statistics 2024-02-12 S. Rusconi , E. Akhmatskaya , D. Sokolovski , N. Ballard , J. C. de la Cal

We propose a novel framework of estimating systemic risk measures and risk allocations based on Markov chain Monte Carlo (MCMC) methods. We consider a class of allocations whose jth component can be written as some risk measure of the jth…

Risk Management · Quantitative Finance 2020-05-08 Takaaki Koike , Marius Hofert

As industrial autonomous ground vehicles are increasingly deployed in safety-critical environments, ensuring their safe operation under diverse conditions is paramount. This paper presents a novel approach for their safety verification…

Robotics · Computer Science 2025-07-17 Nawshin Mannan Proma , Gricel Vázquez , Sepeedeh Shahbeigi , Arjun Badyal , Victoria Hodge

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Autonomous vehicles are continually increasing their presence on public roads. However, before any new autonomous driving software can be approved, it must first undergo a rigorous assessment of driving quality. These quality evaluations…

Methodology · Statistics 2023-05-18 Maria A. Terres , Aiyou Chen , Ruixuan Rachel Zhou , Claire M. McLeod

The application of Predictive Process Monitoring (PPM) techniques is becoming increasingly widespread due to their capacity to provide organizations with accurate predictions regarding the future behavior of business processes, thereby…

Software Engineering · Computer Science 2025-04-25 Simona Fioretto , Elio Masciari

In this paper, we introduce a probabilistic approach to risk assessment of robot systems by focusing on the impact of uncertainties. While various approaches to identifying systematic hazards (e.g., bugs, design flaws, etc.) can be found in…

Robotics · Computer Science 2024-10-28 Woo-Jeong Baek , Tom P. Huck , Joschka Haas , Jonas Lewandrowski , Tamim Asfour , Torsten Kröger

Random forests have become an established tool for classification and regression, in particular in high-dimensional settings and in the presence of complex predictor-response relationships. For bounded outcome variables restricted to the…

Methodology · Statistics 2019-01-21 Leonie Weinhold , Matthias Schmid , Marvin N. Wright , Moritz Berger

Safety critical systems are typically subjected to hazard analysis before commissioning to identify and analyse potentially hazardous system states that may arise during operation. Currently, hazard analysis is mainly based on human…