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Complex heterogeneous dynamic networks like knowledge graphs are powerful constructs that can be used in modeling data provenance from computer systems. From a security perspective, these attributed graphs enable causality analysis and…

Cryptography and Security · Computer Science 2022-03-08 Maya Kapoor , Joshua Melton , Michael Ridenhour , Mahalavanya Sriram , Thomas Moyer , Siddharth Krishnan

In this second part of a sequence of two papers, we discuss the implementation of a curvature flow on weighted graphs based on the Bakry-\'Emery calculus. This flow can be adapted to preserve the Markovian property and its limits as time…

Classical Analysis and ODEs · Mathematics 2022-12-26 David Cushing , Supanat Kamtue , Shiping Liu , Florentin Münch , Norbert Peyerimhoff , Ben Snodgrass

Graph convolution is a fundamental building block for many deep neural networks on graph-structured data. In this paper, we introduce a simple, yet very effective graph convolutional network with skip connections for semi-supervised anomaly…

Machine Learning · Computer Science 2023-10-17 Mahsa Mesgaran , A. Ben Hamza

Within network analysis, the analytical maximum entropy framework has been very successful for different tasks as network reconstruction and filtering. In a recent paper, the same framework was used for link-prediction for monopartite…

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

Neural networks with PDEs embedded in their loss functions (physics-informed neural networks) are employed as a function approximators to find solutions to the Ricci flow (a curvature based evolution) of Riemannian metrics. A general method…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Aarjav Jain , Challenger Mishra , Pietro Liò

With the help of transfer entropy, we analyze information flows between communities of complex networks. We show that the transfer entropy provides a coherent description of interactions between communities, including non-linear…

Statistical Finance · Quantitative Finance 2019-11-18 Jan Korbel , Xiongfei Jiang , Bo Zheng

Identifying significant community structures in networks with incomplete data is a challenging task, as the reliability of solutions diminishes with increasing levels of missing information. However, in many empirical contexts, some…

Social and Information Networks · Computer Science 2024-10-28 Nicola Pedreschi , Renaud Lambiotte , Alexandre Bovet

In this work, we present the first efficient and practical algorithm for estimating the number of triangles in a graph stream using predictions. Our algorithm combines waiting room sampling and reservoir sampling with a predictor for the…

Data Structures and Algorithms · Computer Science 2024-09-24 Cristian Boldrin , Fabio Vandin

The notion of curvature on graphs has recently gained traction in the networks community, with the Ollivier-Ricci curvature (ORC) in particular being used for several tasks in network analysis, such as community detection. In this work, we…

Graph spectra have been successfully used to classify network types, compute the similarity between graphs, and determine the number of communities in a network. For large graphs, where an eigen-decomposition is infeasible, iterative moment…

Machine Learning · Statistics 2019-03-27 Diego Granziol , Binxin Ru , Stefan Zohren , Xiaowen Dong , Michael Osborne , Stephen Roberts

The mixing time of a graph is an important metric, which is not only useful in analyzing connectivity and expansion properties of the network, but also serves as a key parameter in designing efficient algorithms. We present an efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-19 Anisur Rahaman Molla , Gopal Pandurangan

Network traffic classification is of great importance for network operators in their daily routines, such as analyzing the usage patterns of multimedia applications and optimizing network configurations. Internet service providers (ISPs)…

Networking and Internet Architecture · Computer Science 2025-04-04 Rushi Jayeshkumar Babaria , Minzhao Lyu , Gustavo Batista , Vijay Sivaraman

In order to detect patterns in real networks, randomized graph ensembles that preserve only part of the topology of an observed network are systematically used as fundamental null models. However, their generation is still problematic. The…

Data Analysis, Statistics and Probability · Physics 2014-01-14 Tiziano Squartini , Diego Garlaschelli

Recent years have seen a surge of interest in the analysis of complex networks, facilitated by the availability of relational data and the increasingly powerful computational resources that can be employed for their analysis. Naturally, the…

Physics and Society · Physics 2013-08-08 Jean-Charles Delvenne , Michael T. Schaub , Sophia N. Yaliraki , Mauricio Barahona

An efficient and relatively fast algorithm for the detection of communities in complex networks is introduced. The method exploits spectral properties of the graph Laplacian-matrix combined with hierarchical-clustering techniques, and…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

The substantial growth of network traffic speed and volume presents practical challenges to network data analysis. Packet thinning and flow aggregation protocols such as NetFlow reduce the size of datasets by providing structured data…

Applications · Statistics 2020-09-01 Prosha A. Rahman , Boris Beranger , Matthew Roughan , Scott A. Sisson

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

We present a new cycle flow based method for finding fuzzy partitions of weighted directed networks coming from time series data. We show that this method overcomes essential problems of most existing clustering approaches, which tend to…

Data Analysis, Statistics and Probability · Physics 2017-01-20 Ralf Banisch , Nataša Djurdjevac Conrad

The modeling of diffusion processes on graphs is the basis for many network science and machine learning approaches. Entropic measures of network-based diffusion have recently been employed to investigate the reversibility of these…

Dynamical Systems · Mathematics 2025-10-23 Samuel Koovely , Alexandre Bovet
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