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Multilayer networks have seen a resurgence under the umbrella of deep learning. Current deep learning algorithms train the layers of the network sequentially, improving algorithmic performance as well as providing some regularization. We…

机器学习 · 计算机科学 2016-02-22 Ke Wu , Malik Magdon-Ismail

This work aims to propose and design a class of networks of coupled linear and nonlinear oscillators, in which short bursts of exogenous excitation result in sustained endogenous network activity that returns to a quiescent state only after…

动力系统 · 数学 2023-09-07 Yu Mao , Harry Dankowicz

The topological structure of the power grid plays a key role in the reliable delivery of electricity and price settlement in the electricity market. Incorporation of new energy sources and loads into the grid over time has led to its…

社会与信息网络 · 计算机科学 2015-03-02 Deepjyoti Deka , Sriram Vishwanath

Designing a stabilizing controller for nonlinear systems is a challenging task, especially for high-dimensional problems with unknown dynamics. Traditional reinforcement learning algorithms applied to stabilization tasks tend to drive the…

系统与控制 · 电气工程与系统科学 2024-09-16 Thanin Quartz , Ruikun Zhou , Hans De Sterck , Jun Liu

Complex network analyses have provided clues to improve power-grid stability with the help of numerical models. The high computational cost of numerical simulations, however, has inhibited the approach, especially when it deals with the…

物理与社会 · 物理学 2022-01-12 Seong-Gyu Yang , Beom Jun Kim , Seung-Woo Son , Heetae Kim

This paper presents a new neural network (NN) paradigm for scalable and generalizable stability analysis of power systems. The paradigm consists of two parts: the neural stability descriptor and the sample-augmented iterative training…

系统与控制 · 电气工程与系统科学 2025-10-30 Tong Han , Yan Xu , Rui Zhang

Accurate estimates of network parameters are essential for modeling, monitoring, and control in power distribution systems. In this paper, we develop a physics-informed graphical learning algorithm to estimate network parameters of…

机器学习 · 计算机科学 2021-02-19 Wenyu Wang , Nanpeng Yu

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

机器学习 · 计算机科学 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

The integration of renewables into electrical grids calls for the development of tailored control schemes which in turn require reliable grid models. In many cases, the grid topology is known but the actual parameters are not exactly known.…

系统与控制 · 电气工程与系统科学 2020-05-12 Xu Du , Alexander Engelmann , Yuning Jiang , Timm Faulwasser , Boris Houska

We address the issue of estimating the topology and dynamics of sparse linear dynamic networks in a hyperparameter-free setting. We propose a method to estimate the network dynamics in a computationally efficient and parameter tuning-free…

机器学习 · 统计学 2019-11-27 Arun Venkitaraman , Håkan Hjalmarsson , Bo Wahlberg

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

系统与控制 · 电气工程与系统科学 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

We present a theoretically well-founded deep learning algorithm for nonparametric regression. It uses over-parametrized deep neural networks with logistic activation function, which are fitted to the given data via gradient descent. We…

统计理论 · 数学 2025-04-14 Michael Kohler , Adam Krzyzak

The evaluation of partition functions is a central problem in statistical physics. For lattice systems and other discrete models the partition function may be expressed as the contraction of a tensor network. Unfortunately computing such…

计算物理 · 物理学 2020-01-15 Adam S. Jermyn

Power grid operation is becoming increasingly complex due to the increase in generation of renewable energy. The recent series of Learning To Run a Power Network (L2RPN) competitions have encouraged the use of artificial agents to assist…

人工智能 · 计算机科学 2024-08-20 Matthijs de Jong , Jan Viebahn , Yuliya Shapovalova

Inferring network topology from smooth signals is a significant problem in data science and engineering. A common challenge in real-world scenarios is the availability of only partially observed nodes. While some studies have considered…

机器学习 · 计算机科学 2025-07-08 Chuansen Peng , Hanning Tang , Zhiguo Wang , Xiaojing Shen

Topological data analysis has recently been applied to the study of dynamic networks. In this context, an algorithm was introduced and helps, among other things, to detect early warning signals of abnormal changes in the dynamic network…

代数拓扑 · 数学 2022-10-18 Bouchaib Azamir , Driss Bennis , Bertrand Michel

Many recent generative models make use of neural networks to transform the probability distribution of a simple low-dimensional noise process into the complex distribution of the data. This raises the question of whether biological networks…

神经与进化计算 · 计算机科学 2018-02-07 Hesham Mostafa , Gert Cauwenberghs

In this work, we propose a non-parametric probabilistic load flow (NP-PLF) technique based on the Gaussian Process (GP) learning to understand the power system behavior under uncertainty for better operational decisions. The technique can…

系统与控制 · 电气工程与系统科学 2020-03-19 Parikshit Pareek , Chuan Wang , Hung D. Nguyen

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 power network reconfiguration algorithm with an "R" modeling approach evaluates its behavior in computing new reconfiguration topologies for the power grid in the context of the Smart Grid. The power distribution network modelling with…

信号处理 · 电气工程与系统科学 2018-06-22 Eonassis O. Santos , Joberto S. B. Martins