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Compression and sparsification algorithms are frequently applied in a preprocessing step before analyzing or optimizing large networks/graphs. In this paper we propose and study a new framework contracting edges of a graph (merging vertices…

Data Structures and Algorithms · Computer Science 2019-02-14 Aaron Bernstein , Karl Däubel , Yann Disser , Max Klimm , Torsten Mütze , Frieder Smolny

Many real-world processes evolve in cascades over complex networks, whose topologies are often unobservable and change over time. However, the so-termed adoption times when blogs mention popular news items, individuals in a community catch…

Social and Information Networks · Computer Science 2013-09-30 Brian Baingana , Gonzalo Mateos , Georgios B. Giannakis

Structural balance theory studies stability in networks. Given a $n$-vertex complete graph $G=(V,E)$ whose edges are labeled positive or negative, the graph is considered \emph{balanced} if every triangle either consists of three positive…

Data Structures and Algorithms · Computer Science 2023-06-02 Vikrant Ashvinkumar , Sepehr Assadi , Chengyuan Deng , Jie Gao , Chen Wang

Simultaneous localization and mapping (SLAM) is a critical capability in autonomous navigation, but memory and computational limits make long-term application of common SLAM techniques impractical; a robot must be able to determine what…

Robotics · Computer Science 2024-08-05 Kevin Doherty , Alan Papalia , Yewei Huang , David Rosen , Brendan Englot , John Leonard

The growing energy and performance costs of deep learning have driven the community to reduce the size of neural networks by selectively pruning components. Similarly to their biological counterparts, sparse networks generalize just as…

Machine Learning · Computer Science 2021-02-02 Torsten Hoefler , Dan Alistarh , Tal Ben-Nun , Nikoli Dryden , Alexandra Peste

Imitation is a basic updating mechanism for strategy evolution in structured populations, determining how individuals sample social information and translate it into behavioral changes. Higher-order networks, such as hypergraphs, generalize…

Physics and Society · Physics 2026-02-11 Bingxin Lin , Lei Zhou , Hao Fang

The classic online stochastic matching problem typically requires immediate and irrevocable matching decisions. However, in many modern decentralized systems such as real-time ride-hailing and distributed cloud computing, the primary…

Data Structures and Algorithms · Computer Science 2026-05-15 Sara Ahmadian , Edith Cohen , Mohammad Roghani

In many systems privacy of users depends on the number of participants applying collectively some method to protect their security. Indeed, there are numerous already classic results about revealing aggregated data from a set of users. The…

Social and Information Networks · Computer Science 2017-04-27 Krzysztof Grining , Marek Klonowski , Małgorzata Sulkowska

Modern multi-layer networks are commonly stored and analyzed in a local and distributed fashion because of the privacy, ownership, and communication costs. The literature on the model-based statistical methods for community detection based…

Social and Information Networks · Computer Science 2024-10-22 Xiao Guo , Xiang Li , Xiangyu Chang , Shujie Ma

Jumping connections enable Graph Convolutional Networks (GCNs) to overcome over-smoothing, while graph sparsification reduces computational demands by selecting a sub-matrix of the graph adjacency matrix during neighborhood aggregation.…

Machine Learning · Computer Science 2025-07-09 Jiawei Sun , Hongkang Li , Meng Wang

A crucial privacy-driven issue nowadays is re-identifying anonymized social networks by mapping them to correlated cross-domain auxiliary networks. Prior works are typically based on modeling social networks as random graphs representing…

Social and Information Networks · Computer Science 2017-07-28 Luoyi Fu , Xinzhe Fu , Zhongzhao Hu , Zhiying Xu , Xinbing Wang

Many real-world social networks constantly change their global properties over time, such as the number of edges, size and density. While temporal and local properties of social networks have been extensively studied, the origin of their…

Physics and Society · Physics 2020-11-18 Teruyoshi Kobayashi , Mathieu Génois

The importance of modeling and analyzing Social Networks is a consequence of the success of Online Social Networks during last years. Several models of networks have been proposed, reflecting the different characteristics of Social…

Social and Information Networks · Computer Science 2012-02-03 Emilio Ferrara , Giacomo Fiumara

Social networks existing among employees, customers or users of various IT systems have become one of the research areas of growing importance. A social network consists of nodes - social entities and edges linking pairs of nodes. In…

Social and Information Networks · Computer Science 2012-07-19 Piotr Bródka , Przemysław Kazienko , Katarzyna Musiał , Krzysztof Skibicki

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

Physics and Society · Physics 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin

One way of characterizing the topological and structural properties of vertices and edges in a graph is by using structural similarity measures. Measures like Cosine, Jaccard and Dice compute the similarities restricted to the immediate…

Social and Information Networks · Computer Science 2018-05-04 Eduar Castrillo , Elizabeth León , Jonatan Gómez

Recently, numerous community search methods for large graphs have been proposed, at the core of which is defining and measuring cohesion. This paper experimentally evaluates the effectiveness of these community search algorithms w.r.t.…

Information Retrieval · Computer Science 2025-05-02 Yining Zhao , Sourav S Bhowmick , Nastassja L. Fischer , SH Annabel Chen

Network embedding has numerous practical applications and has received extensive attention in graph learning, which aims at mapping vertices into a low-dimensional and continuous dense vector space by preserving the underlying structural…

Machine Learning · Computer Science 2024-08-07 Longlong Lin , Yunfeng Yu , Zihao Wang , Zeli Wang , Yuying Zhao , Jin Zhao , Tao Jia

We consider a random sparse graph with bounded average degree, in which a subset of vertices has higher connectivity than the background. In particular, the average degree inside this subset of vertices is larger than outside (but still…

Machine Learning · Statistics 2015-09-02 Andrea Montanari

Long-term state estimation over graphs remains challenging as current graph estimation methods scale poorly on large, long-term graphs. To address this, our work advances a current state-of-the-art graph sparsification algorithm, maximizing…

Robotics · Computer Science 2025-11-13 Leonard Jung , Alan Papalia , Kevin Doherty , Michael Everett