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Related papers: Differentially Private Densest Subgraph

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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

We study the Densest Subgraph (DSG) problem under the additional constraint of differential privacy. DSG is a fundamental theoretical question which plays a central role in graph analytics, and so privacy is a natural requirement. All known…

Data Structures and Algorithms · Computer Science 2024-04-09 Michael Dinitz , Satyen Kale , Silvio Lattanzi , Sergei Vassilvitskii

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

Information Retrieval · Computer Science 2021-03-02 B. D. M. De Zoysa , Y. A. M. M. A. Ali , M. D. I. Maduranga , Indika Perera , Saliya Ekanayake , Anil Vullikanti

We give the first fully dynamic algorithm which maintains a $(1-\epsilon)$-approximate densest subgraph in worst-case time $\text{poly}(\log n, \epsilon^{-1})$ per update. Dense subgraph discovery is an important primitive for many…

Data Structures and Algorithms · Computer Science 2020-03-12 Saurabh Sawlani , Junxing Wang

We initiate a systematic study of algorithms that are both differentially private and run in sublinear time for several problems in which the goal is to estimate natural graph parameters. Our main result is a differentially-private…

Data Structures and Algorithms · Computer Science 2022-03-15 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee

Dense subgraph discovery methods are routinely used in a variety of applications including the identification of a team of skilled individuals for collaboration from a social network. However, when the network's node set is associated with…

Social and Information Networks · Computer Science 2023-06-06 Atsushi Miyauchi , Tianyi Chen , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

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

We propose a simple and computationally efficient method for dense subgraph discovery, which is a classic problem both in theory and in practice. It is well known that dense subgraphs can have strong correlation with structures of interest…

Data Structures and Algorithms · Computer Science 2019-10-18 Digvijay Boob , Yu Gao , Richard Peng , Saurabh Sawlani , Charalampos E. Tsourakakis , Di Wang , Junxing Wang

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

Computing the core decomposition of a graph is a fundamental problem that has recently been studied in the differentially private setting, motivated by practical applications in data mining. In particular, Dhulipala et al. [FOCS 2022] gave…

Data Structures and Algorithms · Computer Science 2024-02-29 Monika Henzinger , A. R. Sricharan , Leqi Zhu

We study the sublinear space continual release model for edge-differentially private (DP) graph algorithms, with a focus on the densest subgraph problem (DSG) in the insertion-only setting. Our main result is the first continual release DSG…

Data Structures and Algorithms · Computer Science 2025-10-14 Felix Zhou

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

Data Structures and Algorithms · Computer Science 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

We consider a variant of the densest subgraph problem in networks with single or multiple edge attributes. For example, in a social network, the edge attributes may describe the type of relationship between users, such as friends, family,…

Social and Information Networks · Computer Science 2024-02-15 Lutz Oettershagen , Honglian Wang , Aristides Gionis

Many real-world networks can be modeled as graphs. Finding dense subgraphs is a key problem in graph mining with applications in diverse domains. In this paper, we consider two variants of the densest subgraph problem where multiple graph…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

Data Structures and Algorithms · Computer Science 2023-11-14 Teresa Anna Steiner

In this paper, we address the challenge of differential privacy in the context of graph cuts, specifically focusing on the multiway cut and the minimum $k$-cut. We introduce edge-differentially private algorithms that achieve nearly optimal…

Cryptography and Security · Computer Science 2024-12-04 Rishi Chandra , Michael Dinitz , Chenglin Fan , Zongrui Zou

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

Statistics Theory · Mathematics 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

Differentially private algorithms allow large-scale data analytics while preserving user privacy. Designing such algorithms for graph data is gaining importance with the growth of large networks that model various (sensitive) relationships…

Data Structures and Algorithms · Computer Science 2022-11-22 Laxman Dhulipala , Quanquan C. Liu , Sofya Raskhodnikova , Jessica Shi , Julian Shun , Shangdi Yu

In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

Machine Learning · Computer Science 2021-07-13 Mehdi Amian

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
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