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This work shows how adaptivity can enhance value realization of digital twins in civil engineering. We focus on adapting the state transition models within digital twins represented through probabilistic graphical models. The bi-directional…

Machine Learning · Computer Science 2026-05-12 Eugenio Varetti , Matteo Torzoni , Marco Tezzele , Andrea Manzoni

A unifying mathematical formulation is needed to move from one-off digital twins built through custom implementations to robust digital twin implementations at scale. This work proposes a probabilistic graphical model as a formal…

Computational Engineering, Finance, and Science · Computer Science 2021-04-14 Michael G. Kapteyn , Jacob V. R. Pretorius , Karen E. Willcox

Digital twins are transforming engineering and applied sciences by enabling real-time monitoring, simulation, and predictive analysis of physical systems and processes. However, conventional digital twins rely primarily on passive data…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Matteo Torzoni , Domenico Maisto , Andrea Manzoni , Francesco Donnarumma , Giovanni Pezzulo , Alberto Corigliano

The digital twin concept represents an appealing opportunity to advance condition-based and predictive maintenance paradigms for civil engineering systems, thus allowing reduced lifecycle costs, increased system safety, and increased system…

Numerical Analysis · Mathematics 2023-11-10 Matteo Torzoni , Marco Tezzele , Stefano Mariani , Andrea Manzoni , Karen E. Willcox

We consider the problem of remanufacturing planning in the presence of statistical estimation errors. Determining the optimal remanufacturing timing, first and foremost, requires modeling of the state transitions of a system. The estimation…

Optimization and Control · Mathematics 2021-03-19 Zhicheng Zhu , Yisha Xiang , Ming Zhao , Yue Shi

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

Methodology · Statistics 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

A framework for creating and updating digital twins for dynamical systems from a library of physics-based functions is proposed. The sparse Bayesian machine learning is used to update and derive an interpretable expression for the digital…

Machine Learning · Statistics 2022-12-20 Tapas Tripura , Aarya Sheetal Desai , Sondipon Adhikari , Souvik Chakraborty

Shorter product life cycles and increasing individualization of production leads to an increased reconfiguration demand in the domain of industrial automation systems, which will be dominated by cyber-physical production systems in the…

Artificial Intelligence · Computer Science 2021-07-09 Timo Müller , Benjamin Lindemann , Tobias Jung , Nasser Jazdi , Michael Weyrich

Safely integrating unmanned aerial vehicles into civil airspace is contingent upon development of a trustworthy collision avoidance system. This paper proposes an approach whereby a parameterized resolution logic that is considered trusted…

Robotics · Computer Science 2016-02-22 Zachary N. Sunberg , Mykel J. Kochenderfer , Marco Pavone

This work presents a probabilistic digital twin framework for response prediction in dynamical systems governed by misspecified physics. The approach integrates Gaussian Process Latent Force Models (GPLFM) and Bayesian Neural Networks…

Machine Learning · Computer Science 2025-12-01 Sahil Kashyap , Rajdip Nayek

We formulate a probabilistic Markov property in discrete time under a dynamic risk framework with minimal assumptions. This is useful for recursive solutions to risk-sensitive versions of dynamic optimisation problems such as optimal…

Optimization and Control · Mathematics 2022-09-05 Tomasz Kosmala , Randall Martyr , John Moriarty

The concept of creating a virtual copy of a complete Cyber-Physical System opens up numerous possibilities, including real-time assessments of the physical environment and continuous learning from the system to provide reliable and precise…

Artificial Intelligence · Computer Science 2023-11-22 Carine Menezes Rebello , Johannes Jäschkea , Idelfonso B. R. Nogueira

By adopting a distributional viewpoint on law-invariant convex risk measures, we construct dynamics risk measures (DRMs) at the distributional level. We then apply these DRMs to investigate Markov decision processes, incorporating latent…

Optimization and Control · Mathematics 2024-04-24 Ziteng Cheng , Sebastian Jaimungal

This paper proposes a new randomized strategy for adaptive MCMC using Bayesian optimization. This approach applies to non-differentiable objective functions and trades off exploration and exploitation to reduce the number of potentially…

Computation · Statistics 2011-11-01 Nimalan Mahendran , Ziyu Wang , Firas Hamze , Nando de Freitas

A Markov decision process-based state switching is devised, implemented, and analyzed for proximity operations of various autonomous vehicles. The framework contains a pose estimator along with a multi-state guidance algorithm. The unified…

Robotics · Computer Science 2024-10-22 Deep Parikh , Ali Hasnain Khowaja , Manoranjan Majji

We consider a piecewise deterministic Markov decision process, where the expected exponential utility of total (nonnegative) cost is to be minimized. The cost rate, transition rate and post-jump distributions are under control. The state…

Optimization and Control · Mathematics 2017-11-22 Xin Guo , Yi Zhang

Markov decision processes (MDPs) are the defacto frame-work for sequential decision making in the presence ofstochastic uncertainty. A classical optimization criterion forMDPs is to maximize the expected discounted-sum pay-off, which…

Artificial Intelligence · Computer Science 2020-02-28 Tomas Brazdil , Krishnendu Chatterjee , Petr Novotny , Jiri Vahala

Collaborative Combat Aircraft (CCAs) are envisioned to enable autonomous Intelligence, Surveillance, and Reconnaissance (ISR) missions in contested environments, where adversaries may act strategically to deceive or evade detection. These…

Optimization and Control · Mathematics 2025-12-02 Jimin Choi , Max Z. Li

In this paper, we study a digital twin (DT)-empowered integrated sensing, communication, and computation network. Specifically, the users perform radar sensing and computation offloading on the same spectrum, while unmanned aerial vehicles…

Signal Processing · Electrical Eng. & Systems 2023-10-27 Bin Li , Wenshuai Liu , Wancheng Xie , Ning Zhang , Yan Zhang

This work focuses on autonomous contingency planning for scientific missions by enabling rapid policy computation from any off-nominal point in the state space in the event of a delay or deviation from the nominal mission plan. Successful…

Artificial Intelligence · Computer Science 2024-02-27 Somrita Banerjee , Edward Balaban , Mark Shirley , Kevin Bradner , Marco Pavone
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