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Buildings are a promising source of flexibility for the application of demand response. In this work, we introduce a novel battery model formulation to capture the state evolution of a single building. Being fully data-driven, the battery…

Systems and Control · Electrical Eng. & Systems 2022-10-10 Paul Scharnhorst , Baptiste Schubnel , Rafael E. Carrillo , Pierre-Jean Alet , Colin N. Jones

Variability in multiple independent input parameters makes it difficult to estimate the resultant variability in the system's overall response. The Propagation of Errors and Monte-Carlo techniques are two major methods to predict the…

Other Condensed Matter · Physics 2026-04-28 Seungju Yeoa , Paul Funkenbuscha , Hesam Askari

We present a novel computational framework to assess the structural integrity of welds. In the first stage of the simulation framework, local fractions of microstructural constituents within weld regions are predicted based on steel…

Computational Engineering, Finance, and Science · Computer Science 2024-12-12 J. Wijnen , J. Parker , M. Gagliano , E. Martínez-Pañeda

Reliable, risk-averse design of complex engineering systems with optimized performance requires dealing with uncertainties. A conventional approach is to add safety margins to a design that was obtained from deterministic optimization.…

Optimization and Control · Mathematics 2024-06-18 Anirban Chaudhuri , Boris Kramer , Matthew Norton , Johannes O. Royset , Karen Willcox

In this work, we introduce a degenerating PDE system with a time-depending domain for complete damage processes under time-varying Dirichlet boundary conditions. The evolution of the system is described by a doubly nonlinear differential…

Analysis of PDEs · Mathematics 2015-02-20 Christian Heinemann , Christiane Kraus

Ball bearings find widespread use in various manufacturing and mechanical domains, and methods based on machine learning have been widely adopted in the field to monitor wear and spot defects before they lead to failures. Few studies,…

Signal Processing · Electrical Eng. & Systems 2023-09-15 Christian Marius Lillelund , Fernando Pannullo , Morten Opprud Jakobsen , Christian Fischer Pedersen

Failure probabilities for grid components are often estimated using parametric models which can capitalize on operational grid data. This work formulates a Bayesian hierarchical framework designed to integrate data and domain expertise to…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Laurel N. Dunn , Ioanna Kavvada , Mathilde Badoual , Scott J. Moura

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

In order to understand underlying processes governing environmental and physical processes, and predict future outcomes, a complex computer model is frequently required to simulate these dynamics. However there is inevitably uncertainty…

Methodology · Statistics 2017-02-14 B. Swallow , M. Rigby , J. C. Rougier , A. J. Manning , M. Lunt , S. O'Doherty

Seismic fragility curves have been introduced as key components of Seismic Probabilistic Risk Assessment studies. They express the probability of failure of mechanical structures conditional to a seismic intensity measure and must take into…

Applications · Statistics 2022-10-13 Clement Gauchy , Cyril Feau , Josselin Garnier

The analysis of standardized low cycle fatigue (LCF) experiments shows that the failure times widely scatter. Furthermore, mechanical components often fail before the deterministic failure time is reached. A possibility to overcome these…

Materials Science · Physics 2022-07-07 M. Harder , P. Lion , L. Mäde , T. Beck , H. Gottschalk

Probabilistic models are proposed for bounding the forward error in the numerically computed inner product (dot product, scalar product) between of two real $n$-vectors. We derive probabilistic perturbation bounds, as well as probabilistic…

Numerical Analysis · Mathematics 2019-06-26 Ilse C. F. Ipsen , Hua Zhou

System reliability analysis aims at computing the probability of failure of an engineering system given a set of uncertain inputs and limit state functions. Active-learning solution schemes have been shown to be a viable tool but as of yet…

Methodology · Statistics 2024-05-10 Maliki Moustapha , Pietro Parisi , Stefano Marelli , Bruno Sudret

Estimation and counterfactual analysis in dynamic structural models rely on assumptions about the dynamic process of latent variables, which may be misspecified. We propose a framework to quantify the sensitivity of scalar parameters of…

Econometrics · Economics 2025-11-17 Ertian Chen

This paper develops an assume-guarantee (AG) framework for the compositional verification of probabilistic automata (PAs) with uncertain transition probabilities. We study parametric probabilistic automata (pPAs), where probabilities are…

Logic in Computer Science · Computer Science 2026-04-01 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

We present a general prediction scheme of failure times based on updating continuously with time the probability for failure of the global system, conditioned on the information revealed on the pre-existing idiosyncratic realization of the…

Materials Science · Physics 2009-11-11 D. Sornette , J. V. Andersen

We consider the reconstruction of a heterogeneous coefficient field in a Robin boundary condition on an inaccessible part of the boundary in a Poisson problem with an uncertain (or unknown) inhomogeneous conductivity field in the interior…

Optimization and Control · Mathematics 2018-09-26 Ruanui Nicholson , Noemi Petra , Jari Kaipio

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

The cumulative incidence is the probability of failure from the cause of interest over a certain time period in the presence of other risks. A semiparametric regression model proposed by Fine and Gray (1999) has become the method of choice…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin

Probabilistic models analyze data by relying on a set of assumptions. Data that exhibit deviations from these assumptions can undermine inference and prediction quality. Robust models offer protection against mismatch between a model's…

Machine Learning · Statistics 2018-06-20 Yixin Wang , Alp Kucukelbir , David M. Blei
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