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Solving the optimal power flow (OPF) problem is a fundamental task to ensure the system efficiency and reliability in real-time electricity grid operations. We develop a new topology-informed graph neural network (GNN) approach for…

系统与控制 · 电气工程与系统科学 2022-11-03 Shaohui Liu , Chengyang Wu , Hao Zhu

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

机器学习 · 计算机科学 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

We study space and time efficient quantum algorithms for two graph problems -- deciding whether an $n$-vertex graph is a forest, and whether it is bipartite. Via a reduction to the s-t connectivity problem, we describe quantum algorithms…

量子物理 · 物理学 2016-10-04 Chris Cade , Ashley Montanaro , Aleksandrs Belovs

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient…

最优化与控制 · 数学 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

Modeling the effect of complex terrain on high Reynolds number flows is important to improve our understanding of flow dynamics in wind farms and the dispersion of pollen and pollutants in hilly or mountainous terrain as well as the flow in…

计算物理 · 物理学 2021-03-11 Luoqin Liu , Richard J. A. M. Stevens

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

Deep learning approaches to optical flow estimation have seen rapid progress over the recent years. One common trait of many networks is that they refine an initial flow estimate either through multiple stages or across the levels of a…

计算机视觉与模式识别 · 计算机科学 2019-04-11 Junhwa Hur , Stefan Roth

r-gathering problem is a variant of facility location problems. In this problem, we are given a set of users and a set of facilities on same metric space. We open some of the facilities and assign each user to an open facility, so that at…

数据结构与算法 · 计算机科学 2019-07-10 Soh Kumabe , Takanori Maehara

This paper presents a Wasserstein attraction approach for solving dynamic mass transport problems over networks. In the transport problem over networks, we start with a distribution over the set of nodes that needs to be "transported" to a…

最优化与控制 · 数学 2022-04-28 Ferran Arqué , César A. Uribe , Carlos Ocampo-Martinez

Stream stochastic gradient descent (SGD) is a simple and efficient method for solving online optimization problems in operations research (OR), where data is generated by parameter-dependent Markov chains. Unlike traditional approaches…

最优化与控制 · 数学 2025-09-03 Xiang Li , Jiadong Liang , Xinyun Chen , Zhihua Zhang

Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrent dynamical system coupled to a single input…

For many algorithmic problems, traditional algorithms that optimise on the number of instructions executed prove expensive on I/Os. Novel and very different design techniques, when applied to these problems, can produce algorithms that are…

数据结构与算法 · 计算机科学 2010-05-20 Alka

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

数据结构与算法 · 计算机科学 2015-02-20 Arindam Pal

The goal of traffic management is efficiently utilizing network resources via adapting of source sending rates and routes selection. Traditionally, this problem is formulated into a utilization maximization problem. The single-path routing…

网络与互联网体系结构 · 计算机科学 2015-03-19 Ying Liu , Hongying Liu , Ke Xu , Meng Shen , Yifeng Zhong

We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled…

概率论 · 数学 2020-04-15 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

In tree search problem the best-first search algorithm needs too much of space . To remove such drawbacks of these algorithms the IDA* was developed which is both space and time cost efficient. But again IDA* can give an optimal solution…

人工智能 · 计算机科学 2007-05-23 S. Mohanty , R. N. Behera

This paper addresses the two problems of flow and density reconstruction in Road Transportation Networks with heterogeneous information sources and cost effective sensor placement. Following standard macroscopic modeling approaches, the…

最优化与控制 · 数学 2015-07-28 Enrico Lovisari , Carlos Canudas de Wit , Alain Kibangou

Neural network observers (NNOs) are proposed for real-time estimation of fluid flows, addressing a key challenge in flow control: obtaining real-time flow states from a limited set of sparse and noisy sensor data. For this task, we propose…

流体动力学 · 物理学 2025-11-06 Tarcísio C. Déda , William R. Wolf , Scott T. M. Dawson , Brener L. O. Ramos

We consider a class of optimization problems on the space of probability measures motivated by the mean-field approach to studying neural networks. Such problems can be solved by constructing continuous-time gradient flows that converge to…

最优化与控制 · 数学 2026-02-18 Petra Lazić , Linshan Liu , Mateusz B. Majka

We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of this problem we investigate in detail and rigorously the…

偏微分方程分析 · 数学 2011-08-01 C. M. Cuesta , J. J. L. Velazquez
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