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Many deployments of differential privacy in industry are in the local model, where each party releases its private information via a differentially private randomizer. We study triangle counting in the local model with edge differential…

Data Structures and Algorithms · Computer Science 2025-08-18 Talya Eden , Quanquan C. Liu , Sofya Raskhodnikova , Adam Smith

We suggest the use of hash functions to cut down the communication costs when counting subgraphs under edge local differential privacy. While various algorithms exist for computing graph statistics, including the count of subgraphs, under…

Cryptography and Security · Computer Science 2025-08-15 Quentin Hillebrand , Vorapong Suppakitpaisarn , Tetsuo Shibuya

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

Differentially private analysis of graphs is widely used for releasing statistics from sensitive graphs while still preserving user privacy. Most existing algorithms however are in a centralized privacy model, where a trusted data curator…

Cryptography and Security · Computer Science 2021-02-12 Jacob Imola , Takao Murakami , Kamalika Chaudhuri

The rise of massive networks across diverse domains necessitates sophisticated graph analytics, often involving sensitive data and raising privacy concerns. This paper addresses these challenges using local differential privacy (LDP), which…

Data Structures and Algorithms · Computer Science 2025-08-28 Pranay Mundra , Charalampos Papamanthou , Julian Shun , Quanquan C. Liu

Triangle counting in networks under LDP (Local Differential Privacy) is a fundamental task for analyzing connection patterns or calculating a clustering coefficient while strongly protecting sensitive friendships from a central server. In…

Cryptography and Security · Computer Science 2024-01-08 Jacob Imola , Takao Murakami , Kamalika Chaudhuri

Graphs are the dominant formalism for modeling multi-agent systems. The algebraic connectivity of a graph is particularly important because it provides the convergence rates of consensus algorithms that underlie many multi-agent control and…

Cryptography and Security · Computer Science 2021-04-02 Bo Chen , Calvin Hawkins , Kasra Yazdani , Matthew Hale

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

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

Subgraph counting is fundamental for analyzing connection patterns or clustering tendencies in graph data. Recent studies have applied LDP (Local Differential Privacy) to subgraph counting to protect user privacy even against a data…

Cryptography and Security · Computer Science 2022-08-29 Jacob Imola , Takao Murakami , Kamalika Chaudhuri

We consider differentially private range queries on a graph where query ranges are defined as the set of edges on a shortest path of the graph. Edges in the graph carry sensitive attributes and the goal is to report the sum of these…

Data Structures and Algorithms · Computer Science 2023-03-03 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang

Estimating the number of triangles in graph streams using a limited amount of memory has become a popular topic in the last decade. Different variations of the problem have been studied, depending on whether the graph edges are provided in…

Data Structures and Algorithms · Computer Science 2015-07-15 Laurent Bulteau , Vincent Froese , Konstantin Kutzkov , Rasmus Pagh

In this paper, we present the first differentially private clustering method for arbitrary-shaped node clusters in a graph. This algorithm takes as input only an approximate Minimum Spanning Tree (MST) $\mathcal{T}$ released under weight…

Data Structures and Algorithms · Computer Science 2018-03-13 Rafael Pinot , Anne Morvan , Florian Yger , Cédric Gouy-Pailler , Jamal Atif

Hierarchical clustering is a fundamental unsupervised machine learning task with the aim of organizing data into a hierarchy of clusters. Many applications of hierarchical clustering involve sensitive user information, therefore motivating…

Data Structures and Algorithms · Computer Science 2025-04-23 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang , Samson Zhou

The problem of counting subgraphs or graphlets under local differential privacy is an important challenge that has attracted significant attention from researchers. However, much of the existing work focuses on small graphlets like…

Social and Information Networks · Computer Science 2025-05-20 Vorapong Suppakitpaisarn , Donlapark Ponnoprat , Nicha Hirankarn , Quentin Hillebrand

Deep learning models are known to put the privacy of their training data at risk, which poses challenges for their safe and ethical release to the public. Differentially private stochastic gradient descent is the de facto standard for…

Machine Learning · Computer Science 2023-01-03 Morgane Ayle , Jan Schuchardt , Lukas Gosch , Daniel Zügner , Stephan Günnemann

We study differentially private algorithms for analyzing graphs in the challenging setting of continual release with fully dynamic updates, where edges are inserted and deleted over time, and the algorithm is required to update the solution…

Data Structures and Algorithms · Computer Science 2025-05-16 Sofya Raskhodnikova , Teresa Anna Steiner

Differentially private algorithms protect individuals in data analysis scenarios by ensuring that there is only a weak correlation between the existence of the user in the data and the result of the analysis. Dynamic graph algorithms…

Data Structures and Algorithms · Computer Science 2025-09-24 Hendrik Fichtenberger , Monika Henzinger , Lara Ost

When analyzing connection patterns within graphs, subgraph counting serves as an effective and fundamental approach. Edge-local differential privacy (edge-LDP) and shuffle model have been employed to achieve subgraph counting under a…

Cryptography and Security · Computer Science 2025-07-10 Jintao Guo , Ying Zhou , Chao Li , Guixun Luo

Graph pattern counting serves as a cornerstone of network analysis with extensive real-world applications. Its integration with local differential privacy (LDP) has gained growing attention for protecting sensitive graph information in…

Databases · Computer Science 2026-03-23 Yihua Hu , Kuncan Wang , Wei Dong
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