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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

Motivated by understanding the dynamics of sensitive social networks over time, we consider the problem of continual release of statistics in a network that arrives online, while preserving privacy of its participants. For our privacy…

Cryptography and Security · Computer Science 2018-09-20 Shuang Song , Susan Little , Sanjay Mehta , Staal Vinterbo , Kamalika Chaudhuri

Many data mining and analytical tasks rely on the abstraction of networks (graphs) to summarize relational structures among individuals (nodes). Since relational data are often sensitive, we aim to seek effective approaches to generate…

Social and Information Networks · Computer Science 2021-05-04 Carl Yang , Haonan Wang , Ke Zhang , Liang Chen , Lichao Sun

Densest subgraph detection is a fundamental graph mining problem, with a large number of applications. There has been a lot of work on efficient algorithms for finding the densest subgraph in massive networks. However, in many domains, the…

Data Structures and Algorithms · Computer Science 2024-06-05 Dung Nguyen , Anil Vullikanti

With the growth of online social services, social information graphs are becoming increasingly complex. Privacy issues related to analyzing or publishing on social graphs are also becoming increasingly serious. Since the shortest paths play…

Cryptography and Security · Computer Science 2025-01-15 Weihong Sheng , Jiajun Chen , Chunqiang Hu , Bin Cai , Meng Han , Jiguo Yu

Differential privacy is a well-established framework for safeguarding sensitive information in data. While extensively applied across various domains, its application to network data -- particularly at the node level -- remains…

Machine Learning · Statistics 2026-01-06 Suqing Liu , Xuan Bi , Tianxi Li

Researchers increasingly use data on social and economic networks to study a range of social science questions, but releasing statistics derived from networks can raise significant privacy concerns. We show how to release network…

Applications · Statistics 2026-03-17 Tom A. Rutter , Yuxin Liu , M. Amin Rahimian

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

Existing studies on differential privacy mainly consider aggregation on data sets where each entry corresponds to a particular participant to be protected. In many situations, a user may pose a relational algebra query on a sensitive…

Databases · Computer Science 2013-04-18 Shixi Chen , Shuigeng Zhou

Differential privacy has been used to privately calculate numerous network properties, but existing approaches often require the development of a new privacy mechanism for each property of interest. Therefore, we present a framework for…

Optimization and Control · Mathematics 2025-10-03 Huaiyuan Rao , Calvin Hawkins , Alexander Benvenuti , Matthew Hale

We describe a novel protocol for computing the egocentric betweenness centrality of a node when relevant edge information is spread between two mutually distrusting parties such as two telecommunications providers. While each node belongs…

Cryptography and Security · Computer Science 2019-01-27 Leyla Roohi , Benjamin I. P. Rubinstein , Vanessa Teague

Many real-world graphs have degree distributions that are well approximated by a power-law, and the corresponding scaling parameter $\alpha$ provides a compact summary of that structure which is useful for graph analysis and system…

Databases · Computer Science 2026-05-07 Adam Tan , Mohamed Hefny , Keval Vora

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

The popularity of federated learning comes from the possibility of better scalability and the ability for participants to keep control of their data, improving data security and sovereignty. Unfortunately, sharing model updates also creates…

Machine Learning · Computer Science 2024-06-05 Edwige Cyffers , Aurélien Bellet , Jalaj Upadhyay

Modelling edge weights play a crucial role in the analysis of network data, which reveals the extent of relationships among individuals. Due to the diversity of weight information, sharing these data has become a complicated challenge in a…

Statistics Theory · Mathematics 2020-04-28 Yifan Fan , Huiming Zhang , Ting Yan

We introduce a model for differentially private analysis of weighted graphs in which the graph topology $(V,E)$ is assumed to be public and the private information consists only of the edge weights $w:E\to\mathbb{R}^+$. This can express…

Cryptography and Security · Computer Science 2016-04-21 Adam Sealfon

Data about individuals may contain private and sensitive information. The differential privacy (DP) was proposed to address the problem of protecting the privacy of each individual while keeping useful information about a population.…

Data Structures and Algorithms · Computer Science 2022-04-27 Chenglin Fan , Ping Li

Paths in a given network are a generalised form of time-serial chains in many real-world applications, such as trajectories and Internet flows. Differentially private trajectory publishing concerns publishing path information that is usable…

Cryptography and Security · Computer Science 2020-01-08 Zhigang Lu , Hong Shen

Differential privacy (DP) has been widely adopted to protect sensitive information in graph analytics. While edge-DP, which protects privacy at the edge level, has been extensively studied, node-DP, offering stronger protection for entire…

Databases · Computer Science 2025-11-26 Yihua Hu , Hao Ding , Wei Dong

Differential privacy is a modern approach in privacy-preserving data analysis to control the amount of information that can be inferred about an individual by querying a database. The most common techniques are based on the introduction of…

Cryptography and Security · Computer Science 2012-07-05 Catuscia Palamidessi , Marco Stronati
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