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A statistical analysis is performed for a random unrestricted local crew scheduling problem, expressed in terms of pairing arrivals with departures. The analysis is aimed at understanding the structure of similar problems with global…

Disordered Systems and Neural Networks · Physics 2020-12-23 M. Lagerholm , C. Peterson , B. Söderberg

The recently proposed statistical finite element (statFEM) approach synthesises measurement data with finite element models and allows for making predictions about the unknown true system response. We provide a probabilistic error analysis…

Statistics Theory · Mathematics 2025-06-17 Toni Karvonen , Fehmi Cirak , Mark Girolami

Multipath time-delay estimation is commonly encountered in radar and sonar signal processing. In some real-life environments, impulse noise is ubiquitous and significantly degrades estimation performance. Here, we propose a Bayesian…

Signal Processing · Electrical Eng. & Systems 2023-08-16 Xingyu Ji , Lei Cheng , Hangfang Zhao

Recent advances in data-driven computer vision have enabled robust autonomous navigation capabilities for civil aviation, including automated landing and runway detection. However, ensuring that these systems meet the robustness and safety…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Romeo Valentin , Sydney M. Katz , Artur B. Carneiro , Don Walker , Mykel J. Kochenderfer

The use of high-power industrial equipment, such as large-scale mixing equipment or a hydrocyclone for separation of particles in liquid suspension, demands careful monitoring to ensure correct operation. The fundamental task of…

Applications · Statistics 2018-12-20 Chris. J. Oates , Jon Cockayne , Robert G. Aykroyd , Mark Girolami

The assessment of in-service safety performance is an important task, not only in railways. For example it is important to identify deviations early, in particular possible deterioration of safety performance, so that corrective actions can…

Applications · Statistics 2020-09-02 Hendrik Schäbe , Jens Braband

Calibration or parameter identification is used with computational mechanics models related to observed data of the modeled process to find model parameters such that good similarity between model prediction and observation is achieved. We…

Computational Engineering, Finance, and Science · Computer Science 2022-12-26 Harald Willmann , Jonas Nitzler , Sebastian Brandstaeter , Wolfgang A. Wall

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…

Applications · Statistics 2025-07-11 Dawn L. Sanderson , Amy Braverman , Giuseppe Cataldo , Ralph C. Smith , Richard L. Smith

Statistical models typically capture uncertainties in our knowledge of the corresponding real-world processes, however, it is less common for this uncertainty specification to capture uncertainty surrounding the values of the inputs to the…

Methodology · Statistics 2023-05-10 Samuel E. Jackson , David C. Woods

Biosecurity risk material (BRM) presents a clear and significant threat to national and international environmental and economic assets. Intercepting BRM carried by non-compliant international passengers is a key priority of border…

Applications · Statistics 2017-02-15 Stephen E Lane , Richard Gao , Matthew Chisholm , Andrew P Robinson

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…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

This work presents the estimation of the parameters of an experimental setup, which is modeled as a system with three degrees of freedom, composed by a shaft, two rotors, and a DC motor, that emulates a drilling process. A Bayesian…

Methodology · Statistics 2021-07-29 Mario Germán Sandoval , Americo Cunha , Rubens Sampaio

In the framework of risk assessment in nuclear accident analysis, best-estimatecomputer codes, associated to a probabilistic modeling of the uncertain input variables,are used to estimate safety margins. A first step in such uncertainty…

Computational Engineering, Finance, and Science · Computer Science 2021-08-30 A. Marrel , Bertrand Iooss , V Chabridon

Models for predicting aircraft motion are an important component of modern aeronautical systems. These models help aircraft plan collision avoidance maneuvers and help conduct offline performance and safety analyses. In this article, we…

Machine Learning · Computer Science 2018-10-24 Shane Barratt , Mykel Kochenderfer , Stephen Boyd

We propose a method to optimise the parameters of a policy which will be used to safely perform a given task in a data-efficient manner. We train a Gaussian process model to capture the system dynamics, based on the PILCO framework. Our…

Machine Learning · Statistics 2019-12-03 Kyriakos Polymenakos , Alessandro Abate , Stephen Roberts

A key goal of empirical research in software engineering is to assess practical significance, which answers whether the observed effects of some compared treatments show a relevant difference in practice in realistic scenarios. Even though…

Software Engineering · Computer Science 2024-10-03 Richard Torkar , Carlo A. Furia , Robert Feldt , Francisco Gomes de Oliveira Neto , Lucas Gren , Per Lenberg , Neil A. Ernst

This paper presents research findings on handling faulty measurements (i.e., outliers) of global navigation satellite systems (GNSS) for vehicle localization under adverse signal conditions in field applications, where raw GNSS data are…

Robotics · Computer Science 2025-10-16 Haoming Zhang

This paper proposes embedded Gaussian Process Barrier States (GP-BaS), a methodology to safely control unmodeled dynamics of nonlinear system using Bayesian learning. Gaussian Processes (GPs) are used to model the dynamics of the…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Hassan Almubarak , Manan Gandhi , Yuichiro Aoyama , Nader Sadegh , Evangelos A. Theodorou

The problem of statistical calibration of a measuring instrument can be framed both in a statistical context as well as in an engineering context. In the first, the problem is dealt with by distinguishing between the 'classical' approach…

Computation · Statistics 2014-07-15 Derick L. Rivers , Edward L. Boone

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and…

Statistical Mechanics · Physics 2025-09-16 Andrei A. Klishin , Joseph Bakarji , J. Nathan Kutz , Krithika Manohar
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