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Many real-world networks are inherently decentralized. For example, in social networks, each user maintains a local view of a social graph, such as a list of friends and her profile. It is typical to collect these local views of social…

Machine Learning · Computer Science 2022-01-25 Wanyu Lin , Baochun Li , Cong Wang

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Motivated by a real-life problem of sharing social network data that contain sensitive personal information, we propose a novel approach to release and analyze synthetic graphs in order to protect privacy of individual relationships…

Computation · Statistics 2016-09-26 Vishesh Karwa , Pavel N. Krivitsky , Aleksandra B. Slavković

Signal-processing on graphs has developed into a very active field of research during the last decade. In particular, the number of applications using frames constructed from graphs, like wavelets on graphs, has substantially increased. To…

Numerical Analysis · Mathematics 2015-09-24 Ana Susnjara , Nathanael Perraudin , Daniel Kressner , Pierre Vandergheynst

In social settings, individuals interact through webs of relationships. Each individual is a node in a complex network (or graph) of interdependencies and generates data, lots of data. We label the data by its source, or formally stated, we…

Social and Information Networks · Computer Science 2013-03-25 Aliaksei Sandryhaila , Jose M. F. Moura

We study how to communicate findings of Bayesian inference to third parties, while preserving the strong guarantee of differential privacy. Our main contributions are four different algorithms for private Bayesian inference on…

Artificial Intelligence · Computer Science 2015-12-23 Zuhe Zhang , Benjamin Rubinstein , Christos Dimitrakakis

Graph Neural Networks (GNNs) have demonstrated superior performance in learning node representations for various graph inference tasks. However, learning over graph data can raise privacy concerns when nodes represent people or…

Machine Learning · Computer Science 2021-07-08 Sina Sajadmanesh , Daniel Gatica-Perez

Graph Neural Networks (GNNs) with differential privacy have been proposed to preserve graph privacy when nodes represent personal and sensitive information. However, the existing methods ignore that nodes with different importance may yield…

Machine Learning · Computer Science 2023-08-10 Yuxin Qi , Xi Lin , Jun Wu

The graph continual release model of differential privacy seeks to produce differentially private solutions to graph problems under a stream of edge updates where new private solutions are released after each update. Thus far, previously…

Data Structures and Algorithms · Computer Science 2025-04-17 Alessandro Epasto , Quanquan C. Liu , Tamalika Mukherjee , Felix Zhou

A critical task in graph signal processing is to estimate the true signal from noisy observations over a subset of nodes, also known as the reconstruction problem. In this paper, we propose a node-adaptive regularization for graph signal…

Signal Processing · Electrical Eng. & Systems 2021-02-08 Maosheng Yang , Mario Coutino , Geert Leus , Elvin Isufi

Differential Privacy is the gold standard in privacy-preserving data analysis. This paper addresses the challenge of producing a differentially edge-private vertex coloring. In this paper, we present two novel algorithms to approach this…

Data Structures and Algorithms · Computer Science 2026-02-17 Michael Xie , Jiayi Wu , Dung Nguyen , Aravind Srinivasan

The application of graph analytics to various domains has yielded tremendous societal and economical benefits in recent years. However, the increasingly widespread adoption of graph analytics comes with a commensurate increase in the need…

Cryptography and Security · Computer Science 2022-06-07 Yang Li , Michael Purcell , Thierry Rakotoarivelo , David Smith , Thilina Ranbaduge , Kee Siong Ng

Privacy-preserving training on sensitive data commonly relies on differentially private stochastic optimization with gradient clipping and Gaussian noise. The clipping threshold is a critical control knob: if set too small, systematic…

Machine Learning · Computer Science 2026-02-12 Mohammad Partohaghighi , Roummel Marcia , Bruce J. West , YangQuan Chen

Graph analysts cannot directly obtain the global structure in decentralized social networks, and analyzing such a network requires collecting local views of the social graph from individual users. Since the edges between users may reveal…

Cryptography and Security · Computer Science 2022-12-13 Lele Zheng , Bowen Deng , Tao Zhang , Yulong Shen , Yang Cao

Motivated by growing concerns over ensuring privacy on social networks, we develop new algorithms and impossibility results for fitting complex statistical models to network data subject to rigorous privacy guarantees. We consider the…

Statistics Theory · Mathematics 2018-10-05 Christian Borgs , Jennifer Chayes , Adam Smith , Ilias Zadik

This paper develops a framework for privatizing the spectrum of the graph Laplacian of an undirected graph using differential privacy. We consider two privacy formulations. The first obfuscates the presence of edges in the graph and the…

Optimization and Control · Mathematics 2022-11-29 Calvin Hawkins , Bo Chen , Kasra Yazdani , Matthew Hale

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

Publishing open graph data while preserving individual privacy remains challenging when data publishers and data users are distinct entities. Although differential privacy (DP) provides rigorous guarantees, most existing approaches enforce…

Machine Learning · Computer Science 2026-03-25 Muhao Guo , Jiaqi Wu , Yizheng Liao , Wenke Lee , Shengzhe Chen , Yang Weng

Graph Neural Networks (GNNs) have established themselves as the state-of-the-art models for many machine learning applications such as the analysis of social networks, protein interactions and molecules. Several among these datasets contain…

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami