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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 achieved by the introduction of Laplacian noise in the response to a query, establishing a precise trade-off between the level of differential privacy and the accuracy of the database response (via the amount of…

Cryptography and Security · Computer Science 2015-10-06 Maurizio Naldi , Giuseppe D'Acquisto

Achieving optimal statistical performance while ensuring the privacy of personal data is a challenging yet crucial objective in modern data analysis. However, characterizing the optimality, particularly the minimax lower bound, under…

Statistics Theory · Mathematics 2025-07-15 T. Tony Cai , Yichen Wang , Linjun Zhang

We propose a new dynamic average consensus algorithm that is robust to information-sharing noise arising from differential-privacy design. Not only is dynamic average consensus widely used in cooperative control and distributed tracking, it…

Cryptography and Security · Computer Science 2023-07-13 Yongqiang Wang

Surveys are an important tool for many areas of social science research, but privacy concerns can complicate the collection and analysis of survey data. Differentially private analyses of survey data can address these concerns, but at the…

Cryptography and Security · Computer Science 2022-09-23 Krystal Maughan , Joseph P. Near

Differential privacy is a de facto standard for statistical computations over databases that contain private data. The strength of differential privacy lies in a rigorous mathematical definition that guarantees individual privacy and yet…

Cryptography and Security · Computer Science 2020-05-05 Gilles Barthe , Rohit Chadha , Vishal Jagannath , A. Prasad Sistla , Mahesh Viswanathan

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

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

We present a framework for designing differentially private (DP) mechanisms for binary functions via a graph representation of datasets. Datasets are nodes in the graph and any two neighboring datasets are connected by an edge. The true…

Information Theory · Computer Science 2021-02-11 Rafael G. L. D'Oliveira , Muriel Medard , Parastoo Sadeghi

Differential privacy (DP) considers a scenario, where an adversary has almost complete information about the entries of a database This worst-case assumption is likely to overestimate the privacy thread for an individual in real life.…

Cryptography and Security · Computer Science 2025-04-16 Dennis Breutigam , Rüdiger Reischuk

The emerging public awareness and government regulations of data privacy motivate new paradigms of collecting and analyzing data that are transparent and acceptable to data owners. We present a new concept of privacy and corresponding data…

Cryptography and Security · Computer Science 2022-06-08 Jie Ding , Bangjun Ding

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 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

For a dataset of label-count pairs, an anonymized histogram is the multiset of counts. Anonymized histograms appear in various potentially sensitive contexts such as password-frequency lists, degree distribution in social networks, and…

Machine Learning · Computer Science 2020-01-15 Ananda Theertha Suresh

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

Statistical model checking is a class of sequential algorithms that can verify specifications of interest on an ensemble of cyber-physical systems (e.g., whether 99% of cars from a batch meet a requirement on their energy efficiency). These…

Machine Learning · Computer Science 2022-06-29 Yu Wang , Hussein Sibai , Mark Yen , Sayan Mitra , Geir E. Dullerud

We address differential privacy for fully distributed optimization subject to a shared inequality constraint. By co-designing the distributed optimization mechanism and the differential-privacy noise injection mechanism, we propose the…

Optimization and Control · Mathematics 2024-04-04 Yongqiang Wang , Angelia Nedic

Releasing all pairwise shortest path (APSP) distances between vertices on general graphs under weight Differential Privacy (DP) is known as a challenging task. In the previous attempt of (Sealfon 2016}, by adding Laplace noise to each edge…

Data Structures and Algorithms · Computer Science 2022-05-02 Chenglin Fan , Ping Li , Xiaoyun Li

We show that it is possible to significantly improve the accuracy of a general class of histogram queries while satisfying differential privacy. Our approach carefully chooses a set of queries to evaluate, and then exploits consistency…

Databases · Computer Science 2010-07-12 Michael Hay , Vibhor Rastogi , Gerome Miklau , Dan Suciu

In the first part of the paper, we have studied the computational privacy risks in distributed computing protocols against local or global dynamics eavesdroppers, and proposed a Privacy-Preserving-Summation-Consistent (PPSC) mechanism as a…

Systems and Control · Computer Science 2019-02-20 Yang Liu , Junfeng Wu , Ian Manchester , Guodong Shi