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To address the lack of public power system data for machine learning research in energy networks, we investigate the use of variational graph autoencoders (VGAEs) for synthetic distribution grid generation. Using two open-source datasets,…

Machine Learning · Computer Science 2025-12-02 Syed Zain Abbas , Ehimare Okoyomon

With the ongoing emergence of smart and distributed grids, it becomes increasingly important to understand as well as improve legacy infrastructure while operating a much more interconnected and fragile architecture. To support this…

Human-Computer Interaction · Computer Science 2022-04-13 Maximilian T. Fischer , Daniel A. Keim

Tessellations are an important tool to model the microstructure of cellular and polycrystalline materials. Classical tessellation models include the Voronoi diagram and Laguerre tessellation whose cells are polyhedra. Due to the convexity…

Computational Geometry · Computer Science 2023-03-28 Christian Jung , Claudia Redenbach

We point out that interesting features in high energy physics data can be determined from properties of Voronoi tessellations of the relevant phase space. For illustration, we focus on the detection of kinematic "edges" in two dimensions,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Dipsikha Debnath , James S. Gainer , Doojin Kim , Konstantin T. Matchev

Accurate taxi demand-supply forecasting is a challenging application of ITS (Intelligent Transportation Systems), due to the complex spatial and temporal patterns. We investigate the impact of different spatial partitioning techniques on…

Machine Learning · Computer Science 2019-02-19 Neema Davis , Gaurav Raina , Krishna Jagannathan

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

High energy experimental data can be viewed as a sampling of the relevant phase space. We point out that one can apply Voronoi tessellations in order to understand the underlying probability distributions in this phase space. Interesting…

High Energy Physics - Phenomenology · Physics 2015-11-10 Dipsikha Debnath , James S. Gainer , Doojin Kim , Konstantin T. Matchev

Graphical models are a succinct way to represent the structure in probability distributions. This article analyzes the graphical model of nodal voltages in non-radial power distribution grids. Using algebraic and structural properties of…

Systems and Control · Computer Science 2020-02-28 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph. Electric power…

Physics and Society · Physics 2014-05-20 Eduardo Cotilla-Sanchez , Paul D. H. Hines , Clayton Barrows , Seth Blumsack

Probabilistic circuits (PCs) enable exact and tractable inference but employ data independent mixture weights that limit their ability to capture local geometry of the data manifold. We propose Voronoi tessellations (VT) as a natural way to…

Machine Learning · Computer Science 2026-03-13 Sahil Sidheekh , Sriraam Natarajan

Given a network, the statistical ensemble of its graph-Voronoi diagrams with randomly chosen cell centers exhibits properties convertible into information on the network's large scale structures. We define a node-pair level measure called…

In energy system analysis, coupling models with mismatched spatial resolutions is a significant challenge. A common solution is assigning weights to high-resolution geographic units for aggregation, but traditional models are limited by…

Machine Learning · Computer Science 2026-03-20 Xuanhao Mu , Jakob Geiges , Nan Liu , Thorsten Schlachter , Veit Hagenmeyer

Realizing complete observability in the three-phase distribution system remains a challenge that hinders the implementation of classic state estimation algorithms. In this paper, a new method, called the pruned physics-aware neural network…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Minh-Quan Tran , Ahmed S. Zamzam , Phuong H. Nguyen

With the increased complexity of power systems due to the integration of smart grid technologies and renewable energy resources, more frequent changes have been introduced to system status, and the traditional serial mode of state…

Systems and Control · Computer Science 2018-03-12 Chen Yuan , Yuqi Zhou , Guofang Zhang , Guangyi Liu , Renchang Dai , Xi Chen , Zhiwei Wang

Data visualization is essential for developing an understanding of a complex system. The power grid is one of the most complex systems in the world and effective power grid research visualization software must 1) be easy to use, 2) support…

Systems and Control · Electrical Eng. & Systems 2025-10-15 Noah Rhodes

Networks generated from Voronoi tessellations of space are prototypes for topologically disordered systems. In order to assess the effects of random coordination on the statistical properties of energy spectra, we analyze tight-binding…

Disordered Systems and Neural Networks · Physics 2017-09-27 Uwe Grimm , Rudolf A. Roemer , Gudrun Schliecker

With more satellite and model precipitation data becoming available, new analytical methods are needed that can take advantage of emerging data patterns to make well informed predictions in many hydrological applications. We propose a new…

Numerical Analysis · Mathematics 2019-08-30 Zichao Wendy Di , Viviana Maggioni , Yiwen Mei , Marilyn Vazquez , Paul Houser , Maria Emelianenko

Real complex networks are often characterized by spatial constraints such as the relative position and adjacency of nodes. The present work describes how Voronoi tessellations of the space where the network is embedded provide not only a…

Condensed Matter · Physics 2009-11-10 Luciano da Fontoura Costa

Accurate electricity demand forecasting is essential for several reasons, especially as the integration of renewable energy sources and the transition to a decentralized network paradigm introduce greater complexity and uncertainty. The…

Machine Learning · Computer Science 2026-05-12 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Argyris Kalogeratos

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal
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