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We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

统计计算 · 统计学 2019-03-28 Chi Feng , Youssef M. Marzouk

Reinforcement learning (RL) has shown great potential for designing voltage control policies, but their performance often degrades under changing system conditions such as topology reconfigurations and load variations. We introduce a…

系统与控制 · 电气工程与系统科学 2026-02-12 Jie Feng , Yuanyuan Shi , Deepjyoti Deka

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

统计计算 · 统计学 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

In indirect measurements, the measurand is determined by solving an inverse problem which requires a model of the measurement process. Such models are often approximations and introduce systematic errors leading to a bias of the posterior…

统计方法学 · 统计学 2025-09-22 Maren Casfor , Philipp Trunschke , Sebastian Heidenreich , Nando Hegemann

Recent studies have shown that multi-step optimization based on Model Predictive Control (MPC) can effectively coordinate the increasing number of distributed renewable energy and storage resources in the power system. However, the…

分布式、并行与集群计算 · 计算机科学 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

A low-cost reconfiguration stage connected at the output of balanced three-phase, multi-terminal ac/dc/ac converters can increase the feasible set of power injections substantially, increasing converter utilization and therefore achieving a…

系统与控制 · 电气工程与系统科学 2024-06-06 Matthew Deakin , Xu Deng

We propose a Bayesian framework for fine-tuning large diffusion models with a novel network structure called Bayesian Power Steering (BPS). We clarify the meaning behind adaptation from a \textit{large probability space} to a \textit{small…

机器学习 · 计算机科学 2024-06-07 Ding Huang , Ting Li , Jian Huang

This paper considers multiple binary hypothesis tests with adaptive allocation of sensing resources from a shared budget over a small number of stages. A Bayesian formulation is provided for the multistage allocation problem of minimizing…

统计方法学 · 统计学 2014-11-05 Dennis Wei

The increasing penetration of distributed energy resources poses numerous reliability issues to the urban distribution grid. The topology estimation is a critical step to ensure the robustness of distribution grid operation. However, the…

机器学习 · 统计学 2018-09-14 Yizheng Liao , Yang Weng , Guangyi Liu , Ram Rajagopal

In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric…

系统与控制 · 电气工程与系统科学 2020-04-17 Parikshit Pareek , Hung D. Nguyen

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

统计方法学 · 统计学 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

The problem of state estimation for unobservable distribution systems is considered. A deep learning approach to Bayesian state estimation is proposed for real-time applications. The proposed technique consists of distribution learning of…

机器学习 · 统计学 2019-02-26 Kursat Rasim Mestav , Jaime Luengo-Rozas , Lang Tong

Voltage control generally requires accurate information about the grid's topology in order to guarantee network stability. However, accurate topology identification is challenging for existing methods, especially as the grid is subject to…

系统与控制 · 电气工程与系统科学 2024-09-06 Christopher Yeh , Jing Yu , Yuanyuan Shi , Adam Wierman

We consider the problem of estimating rare event probabilities, focusing on systems whose evolution is governed by differential equations with uncertain input parameters. If the system dynamics is expensive to compute, standard sampling…

统计计算 · 统计学 2019-11-05 Siddhant Wahal , George Biros

Distribution grids represent the final tier in electric networks consisting of medium and low voltage lines that connect the distribution substations to the end-users. Traditionally, distribution networks have been operated in a radial…

最优化与控制 · 数学 2016-03-03 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

In many real-world engineering systems, the performance or reliability of the system is characterised by a scalar parameter. The distribution of this performance parameter is important in many uncertainty quantification problems, ranging…

统计方法学 · 统计学 2022-10-03 Robert Millar , Jinglai Li , Hui Li

Nowadays, huge efforts are made to modernize the air traffic management systems to cope with uncertainty, complexity and sub-optimality. An answer is to enhance the information sharing between the stakeholders. This paper introduces a…

人工智能 · 计算机科学 2012-12-18 Areski Hadjaz , Gaétan Marceau , Pierre Savéant , Marc Schoenauer

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

统计方法学 · 统计学 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

Scale-free networks play a fundamental role in the study of complex networks and various applied fields due to their ability to model a wide range of real-world systems. A key characteristic of these networks is their degree distribution,…

物理与社会 · 物理学 2025-01-14 Nixon Jerez-Lillo , Francisco A. Rodrigues , Paulo H. Ferreira , Pedro L. Ramos

Recent studies indicate that the effects of inter-annual climate-based variability in power system planning are significant and that long samples of demand & weather data (spanning multiple decades) should be considered. At the same time,…

应用统计 · 统计学 2019-05-30 Adriaan P Hilbers , David J Brayshaw , Axel Gandy