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The statistical tools of Complex Network Analysis are of great use to understand salient properties of complex systems, may these be natural or pertaining human engineered infrastructures. One of these that is receiving growing attention…

Physics and Society · Physics 2015-03-19 Giuliano Andrea Pagani , Marco Aiello

The present paper studies mathematical models for representing, imaging, and analyzing polycrystalline materials. We introduce various techniques for converting grain maps into diagram or tessellation representations that rely on…

Numerical Analysis · Mathematics 2022-05-16 Andreas Alpers , Maximilian Fiedler , Peter Gritzmann , Fabian Klemm

Ensuring electricity grid reliability becomes increasingly challenging with the shift towards renewable energy and declining conventional capacities. Distribution System Operators (DSOs) aim to achieve grid reliability by verifying the n-1…

Machine Learning · Computer Science 2026-02-19 Charlotte Cambier van Nooten , Tom van de Poll , Sonja Füllhase , Jacco Heres , Tom Heskes , Yuliya Shapovalova

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Representing a scanned map of the real environment as a topological structure is an important research topic in robotics. Since topological representations of maps save a huge amount of map storage space and online computing time, they are…

Robotics · Computer Science 2019-10-03 Jiawei Hou , Yijun Yuan , Sören Schwertfeger

Energy system information valuable for electricity access planning such as the locations and connectivity of electricity transmission and distribution towers, termed the power grid, is often incomplete, outdated, or altogether unavailable.…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Bohao Huang , Jichen Yang , Artem Streltsov , Kyle Bradbury , Leslie M. Collins , Jordan Malof

This paper presents novel methods for parameter identification in electrical grids with small numbers of spatially distributed measuring devices, which is an issue for distribution system operators managing aged and not properly mapped…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Steven de Jongh , Felicitas Mueller , Claudio Cañizares , Thomas Leibfried , Kankar Bhattacharya

Power grids play a very important role in delivering electrical energy to homes, industries and other places that require it. Because of this increased demand they are facing a great challenge of voltage variations. This happens due to…

Signal Processing · Electrical Eng. & Systems 2021-06-25 Sahil Vohra

Traditionally power distribution networks are either not observable or only partially observable. This complicates development and implementation of new smart grid technologies, such as those related to demand response, outage detection and…

Optimization and Control · Mathematics 2015-03-02 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Recent 2D-to-3D human pose estimation works tend to utilize the graph structure formed by the topology of the human skeleton. However, we argue that this skeletal topology is too sparse to reflect the body structure and suffer from serious…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Han Li , Bowen Shi , Wenrui Dai , Yabo Chen , Botao Wang , Yu Sun , Min Guo , Chenlin Li , Junni Zou , Hongkai Xiong

Deep learning has been used as a powerful tool for various tasks in computer vision, such as image segmentation, object recognition and data generation. A key part of end-to-end training is designing the appropriate encoder to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-06-27 Qing Fang

This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse

Cells of Voronoi diagrams in two dimensions are usually considered as having edges of zero width. However, this is not the case in several experimental situations in which the thickness of the edges of the cells is relatively large. In this…

Statistical Mechanics · Physics 2012-07-04 L. Zaninetti

Modeling power transmission networks is an important area of research with applications such as vulnerability analysis, study of cascading failures, and location of measurement devices. Graph-theoretic approaches have been widely used to…

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources…

Systems and Control · Computer Science 2019-07-10 Farnaz Basiri , Jose Casadiego , Marc Timme , Dirk Witthaut

A novel algorithm to detect coherent structures with sparse Lagrangian particle tracking data, using Voronoi tessellation and techniques from spectral graph theory, is tested. Neighbouring tracer particles are naturally identified through…

Fluid Dynamics · Physics 2021-07-29 F. A. C. Martins , D. E. Rival

Voronoi tessellations have been used to model the geometric arrangement of cells in morphogenetic or cancerous tissues, however so far only with flat hypersurfaces as cell-cell contact borders. In order to reproduce the experimentally…

Biological Physics · Physics 2009-12-02 Martin Bock , Amit Kumar Tyagi , Jan-Ulrich Kreft , Wolfgang Alt

This paper surveys visualization and interaction techniques for geospatial networks from a total of 95 papers. Geospatial networks are graphs where nodes and links can be associated with geographic locations. Examples can include social…

Human-Computer Interaction · Computer Science 2021-04-21 Sarah Schöttler , Yalong Yang , Hanspeter Pfister , Benjamin Bach

With the shift towards decentralized energy generation, the increasing complexity of power systems renders physics-based modeling challenging. At the same time the growing amount of available measurement data opens the door for obtaining…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Hannes M. H. Wolf , Christian A. Hans

This manuscript presents novel techniques for identifying the switch states, phase identification, and estimation of equipment parameters in multi-phase low voltage electrical grids, which is a major challenge in long-standing German low…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Steven de Jongh , Felicitas Mueller , Fabian Osterberg , Claudio A. Cañizares , Thomas Leibfried , Kankar Bhattacharya