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Related papers: Physics-Informed Inductive Biases for Voltage Pred…

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Graph representation learning is a fundamental research issue and benefits a wide range of applications on graph-structured data. Conventional artificial neural network-based methods such as graph neural networks (GNNs) and variational…

Neural and Evolutionary Computing · Computer Science 2022-11-04 Hanxuan Yang , Ruike Zhang , Qingchao Kong , Wenji Mao

Graph neural networks (GNNs) build on the success of deep learning models by extending them for use in graph spaces. Transfer learning has proven extremely successful for traditional deep learning problems: resulting in faster training and…

Machine Learning · Computer Science 2022-02-03 Nishai Kooverjee , Steven James , Terence van Zyl

Detecting and localizing leakages is a significant challenge for the efficient and sustainable management of water distribution networks (WDN). Leveraging the inherent graph structure of WDNs, recent approaches have used graph-based…

Machine Learning · Computer Science 2024-08-07 Zepeng Zhang , Olga Fink

The rapid development of deep learning has significant implications for the advancement of Computational Fluid Dynamics (CFD). Currently, most pixel-grid-based deep learning methods for flow field prediction exhibit significantly reduced…

Fluid Dynamics · Physics 2024-04-11 Tianyu Li , Shufan Zou , Xinghua Chang , Laiping Zhang , Xiaogang Deng

The advent of renewable energy has huge implications for the design and control of power grids. Due to increasing supply-side uncertainty, traditional reliability constraints such as strict bounds on current, voltage and temperature in a…

Optimization and Control · Mathematics 2019-05-24 Tommaso Nesti , Jayakrishnan Nair , Bert Zwart

Graph neural networks (GNNs) have become a popular approach to integrating structural inductive biases into NLP models. However, there has been little work on interpreting them, and specifically on understanding which parts of the graphs…

Computation and Language · Computer Science 2022-10-04 Michael Sejr Schlichtkrull , Nicola De Cao , Ivan Titov

We explore the possibility to use physics-informed neural networks to drastically accelerate the solution of ordinary differential-algebraic equations that govern the power system dynamics. When it comes to transient stability assessment,…

Machine Learning · Computer Science 2023-03-17 Jochen Stiasny , Georgios S. Misyris , Spyros Chatzivasileiadis

Understanding the implicit bias of training algorithms is of crucial importance in order to explain the success of overparametrised neural networks. In this paper, we study the dynamics of stochastic gradient descent over diagonal linear…

Machine Learning · Computer Science 2021-12-08 Scott Pesme , Loucas Pillaud-Vivien , Nicolas Flammarion

Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and…

Machine Learning · Computer Science 2022-12-07 Kevin Linka , Amelie Schafer , Xuhui Meng , Zongren Zou , George Em Karniadakis , Ellen Kuhl

The ever-growing use of wind energy makes necessary the optimization of turbine operations through pitch angle controllers and their maintenance with early fault detection. It is crucial to have accurate and robust models imitating the…

Machine Learning · Computer Science 2023-07-28 Alfonso Gijón , Ainhoa Pujana-Goitia , Eugenio Perea , Miguel Molina-Solana , Juan Gómez-Romero

Electricity load forecasting plays an important role in the energy planning such as generation and distribution. However, the nonlinearity and dynamic uncertainties in the smart grid environment are the main obstacles in forecasting…

Neural and Evolutionary Computing · Computer Science 2018-11-09 Faisal Mohammad , Ki Boem Lee , Young-Chon Kim

Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

Machine Learning · Computer Science 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

Prior-data fitted networks (PFNs) were recently proposed as a new paradigm for machine learning. Instead of training the network to an observed training set, a fixed model is pre-trained offline on small, simulated training sets from a…

Machine Learning · Statistics 2023-05-19 Thomas Nagler

Graph neural networks (GNNs) have been shown to be astonishingly capable models for molecular property prediction, particularly as surrogates for expensive density functional theory calculations of relaxed energy for novel material…

Machine Learning · Computer Science 2024-08-27 Joseph Musielewicz , Janice Lan , Matt Uyttendaele , John R. Kitchin

Theoretical studies on the representation power of GNNs have been centered around understanding the equivalence of GNNs, using WL-Tests for detecting graph isomorphism. In this paper, we argue that such equivalence ignores the accompanying…

Machine Learning · Computer Science 2024-08-26 P. Krishna Kumar a , Harish G. Ramaswamy

Machine learning and computational intelligence technologies gain more and more popularity as possible solution for issues related to the power grid. One of these issues, the power flow calculation, is an iterative method to compute the…

Machine Learning · Computer Science 2022-04-21 Stephan Balduin , Eric MSP Veith , Sebastian Lehnhoff

Turbulence modeling is a critical component in numerical simulations of industrial flows based on Reynolds-averaged Navier-Stokes (RANS) equations. However, after decades of efforts in the turbulence modeling community, universally…

Fluid Dynamics · Physics 2017-03-22 Jian-Xun Wang , Jin-Long Wu , Heng Xiao

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate for physics-based representations of multiscale and…

Computational Physics · Physics 2021-03-17 Eric J. Hall , Søren Taverniers , Markos A. Katsoulakis , Daniel M. Tartakovsky

This paper envisions a new control architecture for the protective relay setting in future power distribution systems. With deepening penetration of distributed energy resources at the end users level, it has been recognized as a key…

Systems and Control · Electrical Eng. & Systems 2019-06-27 Dongqi Wu , Xiangtian Zheng , Dileep Kalathil , Le Xie

The instability of power generation from national grids has led industries (e.g., telecommunication) to rely on plant generators to run their businesses. However, these secondary generators create additional challenges such as fuel leakages…

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