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Robustness analysis is an emerging field in the domain of uncertainty quantification. It consists of analysing the response of a computer model with uncertain inputs to the perturbation of one or several of its input distributions. Thus, a…

统计理论 · 数学 2020-12-16 Clement Gauchy , Jerome Stenger , Roman Sueur , Bertrand Iooss

State estimation (SE) of water distribution networks (WDNs) is difficult to solve due to nonlinearity/nonconvexity of water flow models, uncertainties from parameters and demands, lack of redundancy of measurements, and inaccurate flow and…

系统与控制 · 电气工程与系统科学 2020-04-28 Shen Wang , Ahmad F. Taha , Lina Sela , Nikolaos Gatsis , Marcio H. Giacomoni

The gravity fed water distribution network design (WDND) optimization problem consists in determining the pipe diameters of a water network such that hydraulic constraints are satisfied and the total cost is minimized. Traditionally, such…

人工智能 · 计算机科学 2021-12-28 Willian C. S. Martinho , Rafael A. Melo , Kenneth Sörensen

With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where identifying the topology accurately is the prerequisite. However, due to frequent re-configurations, operators…

系统与控制 · 计算机科学 2019-02-05 Haoran Li , Yang Weng , Yizheng Liao , Brian Keel , Kenneth E. Brown

Application of nonlinearity continuation method to numerical solution of steady-state groundwater flow in variably saturated conditions is presented. In order to solve the system of nonlinear equations obtained by finite volume…

数值分析 · 数学 2020-08-04 Denis Anuprienko , Ivan Kapyrin

Recent work has demonstrated that water supply pumps in the drinking water distribution network can be leveraged to provide flexibility to the power network, but existing approaches are computationally demanding and/or overly conservative.…

最优化与控制 · 数学 2022-07-12 Anna Stuhlmacher , Johanna L. Mathieu

Increasing concerns on the security and quality of water distribution systems (WDS), call for computational tools with performance guarantees. To this end, this work revisits the physical laws governing water flow and provides a hierarchy…

最优化与控制 · 数学 2020-10-21 Manish K. Singh , Vassilis Kekatos

This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach,…

系统与控制 · 电气工程与系统科学 2021-03-16 Peihu Duan , Qishao Wang , Zhisheng Duan , Guanrong Chen

The identification of distribution network topology and parameters is a critical problem that lays the foundation for improving network efficiency, enhancing reliability, and increasing its capacity to host distributed energy resources.…

系统与控制 · 电气工程与系统科学 2023-08-23 Ognjen Stanojev , Lucien Werner , Steven Low , Gabriela Hug

We devise a deterministic algorithm to efficiently sample high-quality solutions of certain spin-glass systems that encode hard optimization problems. We employ tensor networks to represent the Gibbs distribution of all possible…

统计力学 · 物理学 2021-09-07 Marek M. Rams , Masoud Mohseni , Daniel Eppens , Konrad Jałowiecki , Bartłomiej Gardas

Leakages in drinking water distribution networks pose significant challenges to water utilities, leading to infrastructure failure, operational disruptions, environmental hazards, property damage, and economic losses. The timely…

机器学习 · 计算机科学 2023-09-07 Ivo Daniel , Andrea Cominola

We introduce a widely applicable tensor network-based framework for developing reduced order models describing wall-bounded fluid flows. As a paradigmatic example, we consider the incompressible Navier-Stokes equations and the lid-driven…

流体动力学 · 物理学 2024-10-10 Martin Kiffner , Dieter Jaksch

Leak detection in urban water distribution networks (WDNs) is challenging given their scale, complexity, and limited instrumentation. We present an algorithm for leak detection in WDNs, which involves making additional flow measurements…

数据结构与算法 · 计算机科学 2016-06-07 Aravind Rajeswaran , Sridharakumar Narasimhan , Shankar Narasimhan

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

机器学习 · 计算机科学 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

In this paper we propose an algorithm to classify tensor data. Our methodology is built on recent studies about matrix classification with the trace norm constrained weight matrix and the tensor trace norm. Similar to matrix classification,…

数值分析 · 计算机科学 2011-09-08 Ziqiang Shi , Tieran Zheng , Jiqing Han

Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly.…

In this paper we the formulation of inverse problems as constrained minimization problems and their iterative solution by gradient or Newton type. We carry out a convergence analysis in the sense of regularization methods and discuss…

数值分析 · 数学 2021-01-15 Barbara Kaltenbacher , Kha Van Huynh

We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage…

机器学习 · 计算机科学 2025-06-04 Aleix Boquet-Pujadas , Pol del Aguila Pla , Michael Unser

Securing the power system from catastrophic natural disasters is a rising problem in power system operation and planning. This paper particularly considers earthquake and aims to evaluate and improve the resilience of power distribution…

系统与控制 · 电气工程与系统科学 2022-02-14 Mahan Fakouri Fard , Mostafa Sahraei-Ardakani , Ge Ou , Mingxi Liu

The following document presents some novel numerical methods valid for one and several variables, which using the fractional derivative, allow to find solutions for some non-linear systems in the complex space using real initial conditions.…

数值分析 · 数学 2024-04-25 A. Torres-Hernandez , F. Brambila-Paz