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In this paper, we consider the privacy preservation problem in both discrete- and continuous-time average consensus algorithms with strongly connected and balanced graphs, against either internal honest-but-curious agents or external…

Systems and Control · Electrical Eng. & Systems 2021-09-07 Yi Xiong , Zhongkui Li

Preserving differential privacy has been well studied under centralized setting. However, it's very challenging to preserve differential privacy under multiparty setting, especially for the vertically partitioned case. In this work, we…

Machine Learning · Computer Science 2019-11-13 Depeng Xu , Shuhan Yuan , Xintao Wu

Graph neural networks (GNNs) have gained significant attraction due to their expansive real-world applications. To build trustworthy GNNs, two aspects - fairness and privacy - have emerged as critical considerations. Previous studies have…

Machine Learning · Computer Science 2024-03-21 He Zhang , Xingliang Yuan , Shirui Pan

Subgraph densities play a crucial role in network analysis, especially for the identification and interpretation of meaningful substructures in complex graphs. Localized subgraph densities, in particular, can provide valuable insights into…

Social and Information Networks · Computer Science 2025-05-23 Connor Mattes , Esha Datta , Ali Pinar

Edges in real-world graphs are typically formed by a variety of factors and carry diverse relation semantics. For example, connections in a social network could indicate friendship, being colleagues, or living in the same neighborhood.…

Social and Information Networks · Computer Science 2022-02-24 Tianxiang Zhao , Xiang Zhang , Suhang Wang

The stochastic block model (SBM) and degree-corrected block model (DCBM) are network models often selected as the fundamental setting in which to analyze the theoretical properties of community detection methods. We consider the problem of…

Statistics Theory · Mathematics 2023-06-19 Jonathan Hehir , Aleksandra Slavkovic , Xiaoyue Niu

Rather than anonymizing social graphs by generalizing them to super nodes/edges or adding/removing nodes and edges to satisfy given privacy parameters, recent methods exploit the semantics of uncertain graphs to achieve privacy protection…

Social and Information Networks · Computer Science 2014-08-07 Hiep H. Nguyen , Abdessamad Imine , Michaël Rusinowitch

Attacks that aim to identify the training data of public neural networks represent a severe threat to the privacy of individuals participating in the training data set. A possible protection is offered by anonymization of the training data…

Cryptography and Security · Computer Science 2020-05-27 Daniel Bernau , Philip-William Grassal , Jonas Robl , Florian Kerschbaum

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

Betweenness is a well-known centrality measure that ranks the nodes of a network according to their participation in shortest paths. Since an exact computation is prohibitive in large networks, several approximation algorithms have been…

Data Structures and Algorithms · Computer Science 2015-07-06 Elisabetta Bergamini , Henning Meyerhenke

Two concepts of centrality have been defined in complex networks. The first considers the centrality of a node and many different metrics for it has been defined (e.g. eigenvector centrality, PageRank, non-backtracking centrality, etc). The…

Social and Information Networks · Computer Science 2016-03-14 Paolo Barucca , Daniele Tantari , Fabrizio Lillo

This paper addresses the problem of protecting network information from privacy system identification (SI) attacks when sharing cyber-physical system simulations. We model analyst observations of networked states as time-series outputs of a…

Cryptography and Security · Computer Science 2025-10-02 Andrew Campbell , Anna Scaglione , Hang Liu , Victor Elvira , Sean Peisert , Daniel Arnold

Tie strengths in social networks are heterogeneous, with strong and weak ties playing different roles at both the network and the individual level. Egocentric networks, networks of relationships around a focal individual, exhibit a small…

Physics and Society · Physics 2024-01-26 Gerardo Iñiguez , Sara Heydari , János Kertész , Jari Saramäki

Graph diffusion, which iteratively propagates real-valued substances among the graph, is used in numerous graph/network-involved applications. However, releasing diffusion vectors may reveal sensitive linking information in the data such as…

Information Retrieval · Computer Science 2025-02-19 Rongzhe Wei , Eli Chien , Pan Li

Who is more important in a network? Who controls the flow between the nodes or whose contribution is significant for connections? Centrality metrics play an important role while answering these questions. The betweenness metric is useful…

Data Structures and Algorithms · Computer Science 2012-09-27 Ahmet Erdem Sarıyüce , Erik Saule , Kamer Kaya , Ümit V. Çatalyürek

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

Physics and Society · Physics 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona

Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local…

We study mechanisms for differential privacy on finite datasets. By deriving \emph{sufficient sets} for differential privacy we obtain necessary and sufficient conditions for differential privacy, a tight lower bound on the maximal expected…

Discrete Mathematics · Computer Science 2015-05-28 Naoise Holohan , Doug Leith , Oliver Mason

Graph data is increasingly prevalent across domains, offering analytical value but raising significant privacy concerns. Edges may encode sensitive relationships, while node attributes may contain sensitive entity or personal data.…

Cryptography and Security · Computer Science 2026-04-07 Nicholas D'Silva , Surya Nepal , Salil S. Kanhere

How do we interpret the differential privacy (DP) guarantee for network data? We take a deep dive into a popular form of network DP ($\varepsilon$--edge DP) to find that many of its common interpretations are flawed. Drawing on prior work…

Statistics Theory · Mathematics 2025-04-18 Jonathan Hehir , Xiaoyue Niu , Aleksandra Slavkovic
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