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We propose a statistical model for graphs with a core-periphery structure. To do this we define a precise notion of what it means for a graph to have this structure, based on the sparsity properties of the subgraphs of core and periphery…

Methodology · Statistics 2019-10-23 Cian Naik , François Caron , Judith Rousseau

Contrast pattern mining (CPM) aims to discover patterns whose support increases significantly from a background dataset compared to a target dataset. CPM is particularly useful for characterising changes in evolving systems, e.g., in…

Networking and Internet Architecture · Computer Science 2020-12-01 Elaheh AlipourChavary , Sarah M. Erfani , Christopher Leckie

State-of-the-art, high capacity deep neural networks not only require large amounts of labelled training data, they are also highly susceptible to label errors in this data, typically resulting in large efforts and costs and therefore…

Machine Learning · Computer Science 2020-07-20 Christian Haase-Schütz , Rainer Stal , Heinz Hertlein , Bernhard Sick

Many real-world networks are theorized to have core-periphery structure consisting of a densely-connected core and a loosely-connected periphery. While this phenomenon has been extensively studied in a range of scientific disciplines, it…

Methodology · Statistics 2023-02-21 Eric Yanchenko , Srijan Sengupta

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

Social and Information Networks · Computer Science 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni

No community detection algorithm can be optimal for all possible networks, thus it is important to identify whether the algorithm is suitable for a given network. We propose a multi-step algorithmic solution scheme for overlapping community…

Social and Information Networks · Computer Science 2020-06-24 Tianyi Li , Pan Zhang

Vertices with high betweenness and closeness centrality represent influential entities in a network. An important problem for time varying networks is to know a-priori, using minimal computation, whether the influential vertices of the…

Social and Information Networks · Computer Science 2018-06-21 Soumya Sarkar , Sandipan Sikdar , Animesh Mukherjee , Sanjukta Bhowmick

Conformal Prediction (CP) quantifies network uncertainty by building a small prediction set with a pre-defined probability that the correct class is within this set. In this study we tackle the problem of CP calibration based on a…

Machine Learning · Computer Science 2024-05-22 Coby Penso , Jacob Goldberger

According to the structural balance theory, a signed graph is considered structurally balanced when it can be partitioned into a number of modules such that positive and negative edges are respectively located inside and between the…

Optimization and Control · Mathematics 2023-05-18 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Community detection and analysis is an important methodology for understanding the organization of various real-world networks and has applications in problems as diverse as consensus formation in social communities or the identification of…

Physics and Society · Physics 2007-09-20 Usha Nandini Raghavan , Reka Albert , Soundar Kumara

In this paper, we focus on learning sparse graphs with a core-periphery structure. We propose a generative model for data associated with core-periphery structured networks to model the dependence of node attributes on core scores of the…

Machine Learning · Computer Science 2021-10-11 Sravanthi Gurugubelli , Sundeep Prabhakar Chepuri

Many systems can be described using graphs, or networks. Detecting communities in these networks can provide information about the underlying structure and functioning of the original systems. Yet this detection is a complex task and a…

Data Structures and Algorithms · Computer Science 2013-02-06 Erwan Le Martelot , Chris Hankin

A coreset is a subset of the training set, using which a machine learning algorithm obtains performances similar to what it would deliver if trained over the whole original data. Coreset discovery is an active and open line of research as…

Machine Learning · Computer Science 2020-02-21 Pietro Barbiero , Giovanni Squillero , Alberto Tonda

The behavior of many complex systems is determined by a core of densely interconnected units. While many methods are available to identify the core of a network when connections between nodes are all of the same type, a principled approach…

Neurons and Cognition · Quantitative Biology 2018-09-14 Federico Battiston , Jeremy Guillon , Mario Chavez , Vito Latora , Fabrizio De Vico Fallani

Conformal prediction (CP) is a general framework to quantify the predictive uncertainty of machine learning models that uses a set prediction to include the true label with a valid probability. To align the uncertainty measured by CP,…

Machine Learning · Computer Science 2025-11-25 Xuesong Jia , Yuanjie Shi , Ziquan Liu , Yi Xu , Yan Yan

The LCP array is an important tool in stringology, allowing to speed up pattern matching algorithms and enabling compact representations of the suffix tree. Recently, Conte et al. [DCC 2023] and Cotumaccio et al. [SPIRE 2023] extended the…

Data Structures and Algorithms · Computer Science 2024-04-23 Jarno Alanko , Davide Cenzato , Nicola Cotumaccio , Sung-Hwan Kim , Giovanni Manzini , Nicola Prezza

Networks are ubiquitous in various fields, representing systems where nodes and their interconnections constitute their intricate structures. We introduce a network decomposition scheme to reveal multiscale core-periphery structures lurking…

Physics and Society · Physics 2025-05-13 Wonhee Jeong , Unjong Yu , Sang Hoon Lee

This paper proposes a new parallel approach to solve connected components on a 2D binary image implemented with CUDA. We employ the following strategies to accelerate neighborhood exploration after dividing an input image into independent…

Computer Vision and Pattern Recognition · Computer Science 2018-01-29 Jun Chen , Keisuke Nonaka , Ryosuke Watanabe , Hiroshi Sankoh , Houari Sabirin , Sei Naito

Networks may, or may not, be wired to have a core that is both itself densely connected and central in terms of graph distance. In this study we propose a coefficient to measure if the network has such a clear-cut core-periphery dichotomy.…

Physics and Society · Physics 2007-05-23 Petter Holme

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

Social and Information Networks · Computer Science 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim