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Simulation-based falsification is a practical testing method to increase confidence that the system will meet safety requirements. Because full-fidelity simulations can be computationally demanding, we investigate the use of simulators with…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Zahra Shahrooei , Mykel J. Kochenderfer , Ali Baheri

Multifidelity Monte Carlo methods often rely on a preprocessing phase consisting of standard Monte Carlo sampling to estimate correlation coefficients between models of different fidelity to determine the weights and number of samples for…

Data Analysis, Statistics and Probability · Physics 2021-06-29 Todd A. Oliver , Christopher S. Simmons , Robert D. Moser

We study learning problems in which the conditional distribution of the output given the input varies as a function of additional task variables. In varying-coefficient models with Gaussian process priors, a Gaussian process generates the…

Machine Learning · Computer Science 2015-10-15 Matthias Bussas , Christoph Sawade , Tobias Scheffer , Niels Landwehr

Monte Carlo integration becomes prohibitively expensive when each sample requires a high-fidelity model evaluation. Multi-fidelity uncertainty quantification methods mitigate this by combining estimators from high- and low-fidelity models,…

Methodology · Statistics 2025-08-27 Thomas E. Coons , Aniket Jivani , Xun Huan

Rolling bearings are subject to various faults due to its long-time operation under harsh environment, which will lead to unexpected breakdown of machinery system and cause severe accidents. Deep learning methods recently have gained…

Machine Learning · Computer Science 2021-09-21 Mingxuan Liang , Kai Zhou

New manufacturing techniques such as 3D printing have recently enabled the creation of previously infeasible chemical reactor designs. Optimizing the geometry of the next generation of chemical reactors is important to understand the…

Computational Engineering, Finance, and Science · Computer Science 2022-11-01 Tom Savage , Nausheen Basha , Omar Matar , Ehecatl Antonio Del-Rio Chanona

In the machine learning domain, active learning is an iterative data selection algorithm for maximizing information acquisition and improving model performance with limited training samples. It is very useful, especially for the industrial…

Machine Learning · Statistics 2020-04-24 Xiaowei Yue , Yuchen Wen , Jeffrey H. Hunt , Jianjun Shi

Gaussian process (GP) models provide a powerful tool for prediction but are computationally prohibitive using large data sets. In such scenarios, one has to resort to approximate methods. We derive an approximation based on a composite…

Machine Learning · Statistics 2018-02-02 Xiuming Liu , Dave Zachariah , Edith C. H. Ngai

Multilevel modeling and simulation (M&S) is becoming increasingly relevant due to the benefits that this methodology offers. Multilevel models allow users to describe a system at multiple levels of detail. From one side, this can make…

Software Engineering · Computer Science 2024-03-26 Luca Serena , Moreno Marzolla , Gabriele D'Angelo , Stefano Ferretti

We present a multivariate Gaussian process regression approach for parameter field reconstruction based on the field's measurements collected at two different scales, the coarse and fine scales. The proposed approach treats the parameter…

Methodology · Statistics 2018-04-19 David A. Barajas-Solano , Alexandre M. Tartakovsky

Conformance is defined as a measure of distance between the behaviors of two dynamical systems. The notion of conformance can accelerate system design when models of varying fidelities are available on which analysis and control design can…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Xin Qin , Navid Hashemi , Lars Lindemann , Jyotirmoy V. Deshmukh

In robotics, simulation has the potential to reduce design time and costs, and lead to a more robust engineered solution and a safer development process. However, the use of simulators is predicated on the availability of good models. This…

Robotics · Computer Science 2023-05-12 Huzaifa Mustafa Unjhawala , Ruochun Zhang , Wei Hu , Jinlong Wu , Radu Serban , Dan Negrut

We propose a new scalable framework for spatio-temporal data fusion with multi-fidelity Gaussian processes (MFGPs) that enables fully likelihood-based inference for both stationary and non-stationary fidelity integration. The framework is…

Functional covariates arise in many scientific and engineering applications when model inputs take the form of time-dependent or spatially distributed profiles, such as varying boundary conditions or changing material behaviours. In…

Statistics Theory · Mathematics 2026-03-10 Razak Christophe Sabi Gninkou , Andrés F. López-Lopera , Franck Massa , Rodolphe Le Riche

Construction of kinetic models has become an indispensable step in the development and scale up of processes in the industry. Model-based design of experiments (MBDoE) has been widely used for the purpose of improving parameter precision in…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Petsagkourakis , Federico Galvanin

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

Model predictive control allows to provide high performance and safety guarantees in the form of constraint satisfaction. These properties, however, can be satisfied only if the underlying model, used for prediction, of the controlled…

Systems and Control · Electrical Eng. & Systems 2021-02-25 Michael Maiworm , Daniel Limon , Rolf Findeisen

Although feature models are widely used in practice, for example, representing variability in software product lines, their integration is still a challenge. Many integration techniques have been proposed, although none of these have proven…

Software Engineering · Computer Science 2018-10-01 Vinicius Bischoff

To control how a robot moves, motion planning algorithms must compute paths in high-dimensional state spaces while accounting for physical constraints related to motors and joints, generating smooth and stable motions, avoiding obstacles,…