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Power device reliability is a major concern during operation under extreme environments, as doing so reduces the operational lifetime of any power system or sensing infrastructure. Due to a potential for system failure, devices must be…

Machine Learning · Computer Science 2021-07-23 Carlos Olivares , Raziur Rahman , Christopher Stankus , Jade Hampton , Andrew Zedwick , Moinuddin Ahmed

This paper addresses the issue of power flow control for partially faulty microgrids. In microgrid control systems, faults may occur in both electrical and communication layers. This may have severe effects on the operation of microgrids.…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Quanwei Qiu , Fuwen Yang , Yong Zhu

This paper analyzes the delayed voltage recovery phenomenon by simplifying the Western Electricity Coordinating Council (WECC) composite load model using the load admittance and the thermal relay dynamics. From this analysis, a closed form…

Signal Processing · Electrical Eng. & Systems 2020-01-23 Amarsagar Reddy Ramapuram Matavalam , Venkataramana Ajjarapu

One of the methods to design products is reliability-based design, in which failure probability is usually used instead of safety factors. In the technique, it should not be less than a predetermined value. Choosing the proper design…

Systems and Control · Electrical Eng. & Systems 2022-07-18 Abolfazl Zolfaghari , Maryam Khoshkhoo

Quantification and minimization of uncertainty is an important task in the design of electromagnetic devices, which comes with high computational effort. We propose a hybrid approach combining the reliability and accuracy of a Monte Carlo…

Machine Learning · Computer Science 2022-04-12 Mona Fuhrländer , Sebastian Schöps

We have studied the critical temperature of Diluted Magnetic Semiconductors by means of Monte Carlo simulations and Coherent-Potential-Approximation (CPA) calculations. In our model for this syste m, the magnetic ions couple with the…

Materials Science · Physics 2009-11-07 M. J. Calderón , G. Gómez-Santos , L. Brey

In this paper we use a hybrid Monte Carlo-Optimal quantization method to approximate the conditional survival probabilities of a firm, given a structural model for its credit defaul, under partial information. We consider the case when the…

Computational Finance · Quantitative Finance 2009-07-07 Giorgia Callegaro , Abass Sagna

In many real-life scenarios, system failure depends on dynamic stress-strength interference, where strength degrades and stress accumulates concurrently over time. In this paper, we consider the problem of finding an optimal replacement…

Applications · Statistics 2022-01-04 Phalguni Nanda , Prajamitra Bhuyan , Anup Dewanji

Estimating the probability of failure for complex real-world systems using high-fidelity computational models is often prohibitively expensive, especially when the probability is small. Exploiting low-fidelity models can make this process…

Estimation of patient-specific model parameters is important for personalized modeling, although sparse and noisy clinical data can introduce significant uncertainty in the estimated parameter values. This importance source of uncertainty,…

Machine Learning · Statistics 2020-06-04 Jwala Dhamala , John L. Sapp , B. Milan Horácek , Linwei Wang

The increasing penetration of renewable generation introduces uncertainty into power systems, challenging traditional deterministic optimization methods. Chance-constrained optimization offers an approach to balancing cost and risk;…

Optimization and Control · Mathematics 2025-11-06 Amir Bahador Javadi , Amin Kargarian

In this paper, the outage probability and outage-based beam design for multiple-input multiple-output (MIMO) interference channels are considered. First, closed-form expressions for the outage probability in MIMO interference channels are…

Information Theory · Computer Science 2016-11-17 Juho Park , Youngchul Sung , Donggun Kim , H. Vincent Poor

Transmission lines, crucial to the power grid, are subjected to diverse environmental conditions such as wind, temperature, humidity, and pollution. While these conditions represent a consistent impact on the transmission lines, certain…

Numerical Analysis · Mathematics 2025-12-03 Prakash KC , Maryam Naghibolhosseini , Mohsen Zayernouri

We describe and analyze a variance reduction approach for Monte Carlo (MC) sampling that accelerates the estimation of statistics of computationally expensive simulation models using an ensemble of models with lower cost. These lower cost…

Computation · Statistics 2021-05-04 Alex A. Gorodetsky , Gianluca Geraci , Mike Eldred , John D. Jakeman

All multi-component product manufacturing companies face the problem of warranty cost estimation. Failure rate analysis of components plays a key role in this problem. Data source used for failure rate analysis has traditionally been past…

Artificial Intelligence · Computer Science 2014-11-13 Karamjit Singh , Puneet Agarwal , Gautam Shroff

This paper considers the classical problem of sampling with Monte Carlo methods a target rare event distribution defined by a score function that is very expensive to compute. We assume we can build using evaluations of the true score, an…

Computation · Statistics 2024-10-25 Frédéric Cérou , Patrick Héas , Mathias Rousset

Neural networks are a commonly used approach to replace physical models with computationally cheap surrogates. Parametric uncertainty quantification can be included in training, assuming that an accurate prior distribution of the model…

Machine Learning · Computer Science 2026-03-12 Heikki Haario , Zhi-Song Liu , Martin Simon , Hendrik Weichel

We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these networks. We advocate…

Physics and Society · Physics 2016-04-13 A. Hackett , D. Cellai , S. Gómez , A. Arenas , J. P. Gleeson

Mixed Probit models are widely applied in many fields where prediction of a binary response is of interest. Typically, the random effects are assumed to be independent but this is seldom the case for many real applications. In the credit…

Applications · Statistics 2019-11-18 Elisa Tosetti , Veronica Vinciotti

Failure in brittle materials under dynamic loading conditions is a result of the propagation and coalescence of microcracks. Simulating this mechanism at the continuum level is computationally expensive or, in some cases, intractable. The…