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The rising use of information and communication technology in smart grids likewise increases the risk of failures that endanger the security of power supply, e.g., due to errors in the communication configuration, faulty control algorithms,…

Software Engineering · Computer Science 2021-03-17 Benedikt Klaer , Ömer Sen , Dennis van der Velde , Immanuel Hacker , Michael Andres , Martin Henze

Many real-world graphs (networks) are heterogeneous with different types of nodes and edges. Heterogeneous graph embedding, aiming at learning the low-dimensional node representations of a heterogeneous graph, is vital for various…

Social and Information Networks · Computer Science 2021-12-15 Wentao Xu , Yingce Xia , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

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

In the realm of generative models for graphs, extensive research has been conducted. However, most existing methods struggle with large graphs due to the complexity of representing the entire joint distribution across all node pairs and…

Social and Information Networks · Computer Science 2024-05-15 Andreas Bergmeister , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

The goal of this work is to model the peering arrangements between Autonomous Systems (ASes). Most existing models of the AS-graph assume an undirected graph. However, peering arrangements are mostly asymmetric Customer-Provider…

Networking and Internet Architecture · Computer Science 2007-05-23 Sagy Bar , Mira Gonen , Avishai Wool

In real world domains, most graphs naturally exhibit a hierarchical structure. However, data-driven graph generation is yet to effectively capture such structures. To address this, we propose a novel approach that recursively generates…

Machine Learning · Computer Science 2023-06-01 Mahdi Karami , Jun Luo

This paper addresses the limitations of multi-node perception and delayed scheduling response in distributed systems by proposing a GNN-based multi-node collaborative perception mechanism. The system is modeled as a graph structure.…

Machine Learning · Computer Science 2025-05-23 Wenxuan Zhu , Qiyuan Wu , Tengda Tang , Renzi Meng , Sheng Chai , Xuehui Quan

Can evolving networks be inferred and modeled without directly observing their nodes and edges? In many applications, the edges of a dynamic network might not be observed, but one can observe the dynamics of stochastic cascading processes…

Machine Learning · Computer Science 2019-02-26 Elahe Ghalebi , Baharan Mirzasoleiman , Radu Grosu , Jure Leskovec

Empirical networked systems are often only partially observed: sampling frames, crawling policies, privacy constraints, and temporal gaps can leave actors and edges unobserved. This complicates robustness and sensitivity analysis because…

Social and Information Networks · Computer Science 2026-05-12 Mehrdad Jalali , Binh Vu , Swati Chandna , Chen Ding

Accurate knowledge of power grid topology is a prerequisite for effective state estimation and grid stability. While data-driven methods for topology reconstruction exist, the minimum requirements for measurement quality, specifically…

Physics and Society · Physics 2026-05-13 Daniel T. Speckhard

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

Social and Information Networks · Computer Science 2022-04-28 Marcell Nagy , Roland Molontay

The assortative behavior of a network is the tendency of similar (or dissimilar) nodes to connect to each other. This tendency can have an influence on various properties of the network, such as its robustness or the dynamics of spreading…

Social and Information Networks · Computer Science 2025-08-07 Marc Kaufmann , Ulysse Schaller , Thomas Bläsius , Johannes Lengler

We investigate the asymptotic number of induced subgraphs in power-law uniform random graphs. We show that these induced subgraphs appear typically on vertices with specific degrees, which are found by solving an optimization problem.…

Combinatorics · Mathematics 2022-02-23 Clara Stegehuis

To mitigate climate change, the share of renewable needs to be increased. Renewable energies introduce new challenges to power grids due to decentralization, reduced inertia and volatility in production. The operation of sustainable power…

Machine Learning · Computer Science 2023-01-25 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of the underlying space. The model favors configurations with…

Probability · Mathematics 2017-06-14 Jean-Christophe Mourrat , Daniel Valesin

Graph neural networks (GNNs) face significant challenges with class imbalance, leading to biased inference results. To address this issue in heterogeneous graphs, we propose a novel framework that combines Graph Neural Network (GNN) and…

Machine Learning · Computer Science 2024-11-26 Hung-Chun Hsu , Bo-Jun Wu , Ming-Yi Hong , Che Lin , Chih-Yu Wang

Due to the fact that the numbers of annually published papers have witnessed a linear growth in some citation networks, a geometric model is thus proposed to predict some statistical features of those networks, in which the academic…

Physics and Society · Physics 2016-07-07 Qi Liu , Zheng Xie , Engming Dong , Jianping Li

Quantifying the complexity of large graphs requires measures that extend beyond predefined structural features and scale efficiently with graph size. This work adopts a generative perspective, modeling large networks as exchangeable graphs…

Information Theory · Computer Science 2025-03-14 Anda Skeja , Sofia C. Olhede

We propose a hierarchical normalizing flow model for generating molecular graphs. The model produces new molecular structures from a single-node graph by recursively splitting every node into two. All operations are invertible and can be…

Chemical Physics · Physics 2021-06-11 Maksim Kuznetsov , Daniil Polykovskiy

We introduce a new approach to constructing networks with realistic features. Our method, in spite of its conceptual simplicity (it has only two parameters) is capable of generating a wide variety of network types with prescribed…

Data Analysis, Statistics and Probability · Physics 2010-04-30 G. Palla , L. Lovasz , T. Vicsek
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