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Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

Sustainable and economical generation of electrical power is an essential and mandatory component of infrastructure in today's world. Optimal generation (generator subset selection) of power requires a careful evaluation of various factors…

Computational Engineering, Finance, and Science · Computer Science 2017-09-11 Biswarup Bhattacharya , Abhishek Sinha

It has been shown that many networks associated with complex systems are small-world (they have both a large local clustering coefficient and a small diameter) and they are also scale-free (the degrees are distributed according to a power…

Social and Information Networks · Computer Science 2016-05-25 L. Barrière , F. Comellas , C. Dalfó , M. A. Fiol

We derive and analyze a generic, recursive algorithm for estimating all splits in a finite cluster tree as well as the corresponding clusters. We further investigate statistical properties of this generic clustering algorithm when it…

Machine Learning · Statistics 2021-11-02 Ingo Steinwart , Bharath K. Sriperumbudur , Philipp Thomann

We investigate the impact of community structure on information diffusion with the linear threshold model. Our results demonstrate that modular structure may have counter-intuitive effects on information diffusion when social reinforcement…

Physics and Society · Physics 2014-09-19 Azadeh Nematzadeh , Emilio Ferrara , Alessandro Flammini , Yong-Yeol Ahn

Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann

The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, business models and market designs evolve, affecting power-grid…

Adaptation and Self-Organizing Systems · Physics 2020-03-24 Leonardo Rydin Gorjão , Mehrnaz Anvari , Holger Kantz , Christian Beck , Dirk Witthaut , Marc Timme , Benjamin Schäfer

Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

Optimization and Control · Mathematics 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

Most real-world networks are too large to be measured or studied directly and there is substantial interest in estimating global network properties from smaller sub-samples. One of the most important global properties is the number of…

Machine Learning · Statistics 2016-10-27 Lin Chen , Amin Karbasi , Forrest W. Crawford

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

Physics and Society · Physics 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

Understanding electrical energy demand at the consumer level plays an important role in planning the distribution of electrical networks and offering of off-peak tariffs, but observing individual consumption patterns is still expensive. On…

Applications · Statistics 2021-06-29 Gabriel Franco , Camila P. E. de Souza , Nancy L. Garcia

Nowadays, various stakeholders involved in the analysis of electric power distribution grids face difficulties in the data acquisition related to the grid topology and parameters of grid assets. To mitigate the problem and possibly…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Chandra Sekhar Charan Dande , Luca Mattorolo , Joel da Silva Andre , Lydia Lavecchia , Nikolaos Efkarpidis , Damiano Toffanin

Identifying future congestion points in electricity distribution networks is an important challenge distribution system operators face. A proven approach for addressing this challenge is to assess distribution grid adequacy using…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Julian N. Betge , Barbera Droste , Jacco Heres , Simon H. Tindemans

In the present paper, we introduce a new method for the automated generation of residential distribution grid models based on novel building load estimation methods and a two-stage optimization for the generation of the 20 kV and 400 V grid…

Computational Engineering, Finance, and Science · Computer Science 2023-12-13 Moritz Weber , Luc Janecke , Hüseyin K. Çakmak , Veit Hagenmeyer

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

Physics and Society · Physics 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

Distribution grids refer to the part of the power grid that delivers electricity from substations to the loads. Structurally a distribution grid is operated in one of several radial/tree-like topologies that are derived from an original…

Optimization and Control · Mathematics 2016-03-08 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Power grids must modernize to meet climate goals while maintaining reliable and stable operating conditions. Yet progress is hindered by a limited understanding of the stochastic processes underlying grid frequency and phase-angle…

Physics and Society · Physics 2026-04-06 Alessandro Lonardi , Jacques M. Maritz , Leonardo Rydin Gorjão , Christian Beck

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

Different techniques were developed to extract urban agglomerations from a big dataset. The urban agglomerations are used to understand the structure and growth of cities. However, the major challenge is to extract urban agglomerations from…

Applications · Statistics 2019-03-19 Jingya Yan