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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

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

It was observed in \citet{gupta2009differentially} that the Set Cover problem has strong impossibility results under differential privacy. In our work, we observe that these hardness results dissolve when we turn to the Partial Set Cover…

Data Structures and Algorithms · Computer Science 2023-08-22 George Z. Li , Dung Nguyen , Anil Vullikanti

Given a graph, the densest subgraph problem asks for a set of vertices such that the average degree among these vertices is maximized. Densest subgraph has numerous applications in learning, e.g., community detection in social networks,…

Cryptography and Security · Computer Science 2022-11-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Elaine Shi

Models need to be trained with privacy-preserving learning algorithms to prevent leakage of possibly sensitive information contained in their training data. However, canonical algorithms like differentially private stochastic gradient…

Machine Learning · Computer Science 2022-10-06 Yannis Cattan , Christopher A. Choquette-Choo , Nicolas Papernot , Abhradeep Thakurta

Datasets containing sensitive information are often sequentially analyzed by many algorithms. This raises a fundamental question in differential privacy regarding how the overall privacy bound degrades under composition. To address this…

Machine Learning · Statistics 2020-03-26 Qinqing Zheng , Jinshuo Dong , Qi Long , Weijie J. Su

We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

Data Structures and Algorithms · Computer Science 2015-01-27 Thomas Steinke , Jonathan Ullman

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

Differential privacy is a popular privacy model within the research community because of the strong privacy guarantee it offers, namely that the presence or absence of any individual in a data set does not significantly influence the…

Cryptography and Security · Computer Science 2017-02-09 Jordi Soria-Comas , Josep Domingo-Ferrer , David Sánchez , David Megías

Decentralized min-max optimization allows multi-agent systems to collaboratively solve global min-max optimization problems by facilitating the exchange of model updates among neighboring agents, eliminating the need for a central server.…

Machine Learning · Computer Science 2025-08-12 Yueyang Quan , Chang Wang , Shengjie Zhai , Minghong Fang , Zhuqing Liu

Differential privacy is a leading protection setting, focused by design on individual privacy. Many applications, in medical / pharmaceutical domains or social networks, rather posit privacy at a group level, a setting we call integral…

Machine Learning · Statistics 2019-07-04 Hisham Husain , Zac Cranko , Richard Nock

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

Differential privacy (DP) has become the de facto standard of privacy preservation due to its strong protection and sound mathematical foundation, which is widely adopted in different applications such as big data analysis, graph data…

Cryptography and Security · Computer Science 2021-12-06 Honglu Jiang , Yifeng Gao , S M Sarwar , Luis GarzaPerez , Mahmudul Robin

We study approximation algorithms for Maximum Constraint Satisfaction Problems (Max-CSPs) under differential privacy (DP) where the constraints are considered sensitive data. Information-theoretically, we aim to classify the best…

Data Structures and Algorithms · Computer Science 2026-02-11 Prathamesh Dharangutte , Jingcheng Liu , Pasin Manurangsi , Akbar Rafiey , Phanu Vajanopath , Zongrui Zou

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

Differential privacy is often applied with a privacy parameter that is larger than the theory suggests is ideal; various informal justifications for tolerating large privacy parameters have been proposed. In this work, we consider partial…

Cryptography and Security · Computer Science 2022-09-12 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Thomas Steinke

Differential privacy, a notion of algorithmic stability, is a gold standard for measuring the additional risk an algorithm's output poses to the privacy of a single record in the dataset. Differential privacy is defined as the distance…

Machine Learning · Computer Science 2019-07-05 Kamalika Chaudhuri , Jacob Imola , Ashwin Machanavajjhala

In this paper, we introduce a new notion of guaranteed privacy that requires that the change of the range of the corresponding inclusion function to the true function is small. In particular, leveraging mixed-monotone inclusion functions,…

Optimization and Control · Mathematics 2022-09-26 Mohammad Khajenejad , Sonia Martinez

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
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