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Pronounced variability due to the growth of renewable energy sources, flexible loads, and distributed generation is challenging residential distribution systems. This context, motivates well fast, efficient, and robust reactive power…

系统与控制 · 电气工程与系统科学 2019-10-31 Qiuling Yang , Alireza Sadeghi , Gang Wang , Georgios B. Giannakis , Jian Sun

In Bayesian inverse problems, the posterior distribution is used to quantify uncertainty about the reconstructed solution. In practice, Markov chain Monte Carlo algorithms often are used to draw samples from the posterior distribution.…

数值分析 · 数学 2018-03-13 D. Andrew Brown , Arvind Saibaba , Sarah Vallélian

The increasing integration of intermittent distributed energy resources (DERs) has introduced significant variability in distribution networks, posing challenges to voltage regulation and reactive power management. This paper presents a…

系统与控制 · 电气工程与系统科学 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

系统与控制 · 计算机科学 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

信号处理 · 电气工程与系统科学 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

Load balancing between base stations (BSs) allows BS capacity to be efficiently utilised and avoid outages. Currently, data-driven mechanisms strive to balance inter-BS load and reduce unnecessary handovers. The challenge is that over a…

系统与控制 · 电气工程与系统科学 2025-07-18 Mengbang Zou , Yun Tang , Adolfo Perrusquía , Weisi Guo

In this paper, we study a fast approximate inference method based on expectation propagation for exploring the posterior probability distribution arising from the Bayesian formulation of nonlinear inverse problems. It is capable of…

数值分析 · 数学 2015-06-18 Matthias Gehre , Bangti Jin

Subtle alterations in brain network topology often evade detection by traditional statistical methods. To address this limitation, we introduce a Bayesian inference framework for topological comparison of brain networks that…

统计方法学 · 统计学 2025-11-06 Xukun Zhu , Michael W Lutz , Tananun Songdechakraiwut

Bayesian estimation is a vital tool in robotics as it allows systems to update the robot state belief using incomplete information from noisy sensors. To render the state estimation problem tractable, many systems assume that the motion and…

机器人学 · 计算机科学 2025-01-13 Miguel Saavedra-Ruiz , Steven A. Parkison , Ria Arora , James Richard Forbes , Liam Paull

This work presents a distributed method for control centers to monitor the operating condition of a power network, i.e., to estimate the network state, and to ultimately determine the occurrence of threatening situations. State estimation…

最优化与控制 · 数学 2011-07-13 Fabio Pasqualetti , Ruggero Carli , Francesco Bullo

A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct the locations and intensities of the unknown acoustic sources using partial data. First, we extend the direct sampling…

数值分析 · 数学 2020-04-10 Zhaoxing Li , Yanfang Liu , Jiguang Sun , Liwei Xu

To improve the resilience of electric distribution systems, this paper proposes a stochastic multi-period mixed-integer linear programming model that determines where to underground distribution lines and how to coordinate mobile generators…

系统与控制 · 电气工程与系统科学 2022-04-25 Babak Taheri , Daniel K. Molzahn , Santiago Grijalva

This paper introduces a generalised version of importance subsampling for time series reduction/aggregation in optimisation-based power system planning models. Recent studies indicate that reliably determining optimal electricity…

应用统计 · 统计学 2020-08-26 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

系统与控制 · 电气工程与系统科学 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

For power grid operations, a large body of research focuses on using generation redispatching, load shedding or demand side management flexibilities. However, a less costly and potentially more flexible option would be grid topology…

信号处理 · 电气工程与系统科学 2019-12-10 Antoine Marot , Benjamin Donnot , Camilo Romero , Luca Veyrin-Forrer , Marvin Lerousseau , Balthazar Donon , Isabelle Guyon

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

最优化与控制 · 数学 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Achieving robust uncertainty quantification for deep neural networks represents an important requirement in many real-world applications of deep learning such as medical imaging where it is necessary to assess the reliability of a neural…

机器学习 · 计算机科学 2024-03-15 Tim Rensmeyer , Oliver Niggemann

In this paper, we address the fusion problem in wireless sensor networks, where the cross-correlation between the estimates is unknown. To solve the problem within the Bayesian framework, we assume that the covariance matrix has a prior…

信息论 · 计算机科学 2015-09-14 Zhiyuan Weng , Petar Djuric

When working with multimodal Bayesian posterior distributions, Markov chain Monte Carlo (MCMC) algorithms have difficulty moving between modes, and default variational or mode-based approximate inferences will understate posterior…

统计方法学 · 统计学 2021-11-19 Yuling Yao , Aki Vehtari , Andrew Gelman

The methodology developed in this article is motivated by a wide range of prediction and uncertainty quantification problems that arise in Statistics, Machine Learning and Applied Mathematics, such as non-parametric regression, multi-class…

统计方法学 · 统计学 2019-03-26 Victor Chen , Matthew M. Dunlop , Omiros Papaspiliopoulos , Andrew M. Stuart