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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

We present a new parallel algorithm for $k$-clique counting/listing that has polylogarithmic span (parallel time) and is work-efficient (matches the work of the best sequential algorithm) for sparse graphs. Our algorithm is based on…

Data Structures and Algorithms · Computer Science 2021-07-19 Jessica Shi , Laxman Dhulipala , Julian Shun

Differential privacy is a promising privacy-preserving paradigm for statistical query processing over sensitive data. It works by injecting random noise into each query result, such that it is provably hard for the adversary to infer the…

Databases · Computer Science 2015-02-27 Ganzhao Yuan , Zhenjie Zhang , Marianne Winslett , Xiaokui Xiao , Yin Yang , Zhifeng Hao

Correlation clustering is a central problem in unsupervised learning, with applications spanning community detection, duplicate detection, automated labelling and many more. In the correlation clustering problem one receives as input a set…

Federated analytics seeks to compute accurate statistics from data distributed across users' devices while providing a suitable privacy guarantee and being practically feasible to implement and scale. In this paper, we show how a strong…

Cryptography and Security · Computer Science 2022-03-10 Akash Bharadwaj , Graham Cormode

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani

A continuing challenge for machine learning is providing methods to perform computation on data while ensuring the data remains private. In this paper we build on the provable privacy guarantees of differential privacy which has been…

Machine Learning · Computer Science 2019-09-23 Michael Thomas Smith , Mauricio A. Alvarez , Neil D. Lawrence

In this work, we give a new technique for analyzing individualized privacy accounting via the following simple observation: if an algorithm is one-sided add-DP, then its subsampled variant satisfies two-sided DP. From this, we obtain…

Data Structures and Algorithms · Computer Science 2024-05-30 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Adam Sealfon

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

We revisit the problem of accurately answering large classes of statistical queries while preserving differential privacy. Previous approaches to this problem have either been very general but have not had run-time polynomial in the size of…

Data Structures and Algorithms · Computer Science 2011-11-30 Avrim Blum , Aaron Roth

Multiple interval graphs are variants of interval graphs where instead of a single interval, each vertex is assigned a set of intervals on the real line. We study the complexity of the MAXIMUM CLIQUE problem in several classes of multiple…

Discrete Mathematics · Computer Science 2012-03-12 Mathew C. Francis , Daniel Gonçalves , Pascal Ochem

Computing matchings in graphs is a foundational algorithmic task. Despite extensive interest in differentially private (DP) graph analysis, work on privately computing matching solutions, rather than just their size, has been sparse. The…

Data Structures and Algorithms · Computer Science 2026-02-18 Michael Dinitz , George Z. Li , Quanquan C. Liu , Felix Zhou

There is an increasing demand to make data "open" to third parties, as data sharing has great benefits in data-driven decision making. However, with a wide variety of sensitive data collected, protecting privacy of individuals, communities…

Cryptography and Security · Computer Science 2017-07-19 David B. Smith , Kanchana Thilakarathna , Mohamed Ali Kaafar

In many practical applications of differential privacy, practitioners seek to provide the best privacy guarantees subject to a target level of accuracy. A recent line of work by Ligett et al. '17 and Whitehouse et al. '22 has developed such…

Cryptography and Security · Computer Science 2023-12-07 Ryan Rogers , Gennady Samorodnitsky , Zhiwei Steven Wu , Aaditya Ramdas

We study the (nearly) optimal mechanisms in $(\epsilon,\delta)$-approximate differential privacy for integer-valued query functions and vector-valued (histogram-like) query functions under a utility-maximization/cost-minimization framework.…

Data Structures and Algorithms · Computer Science 2013-12-20 Quan Geng , Pramod Viswanath

This paper studies the problem of clustering in metric spaces while preserving the privacy of individual data. Specifically, we examine differentially private variants of the k-medians and Euclidean k-means problems. We present polynomial…

Data Structures and Algorithms · Computer Science 2020-08-31 Matthew Jones , Huy Lê Nguyen , Thy Nguyen

Differential privacy (DP) provides a mathematical guarantee limiting what an adversary can learn about any individual from released data. However, achieving this protection typically requires adding noise, and noise can accumulate when many…

Machine Learning · Computer Science 2026-02-12 Amir Asiaee , Chao Yan , Zachary B. Abrams , Bradley A. Malin

Chordal decomposition techniques are used to reduce large structured positive semidefinite matrix constraints in semidefinite programs (SDPs). The resulting equivalent problem contains multiple smaller constraints on the nonzero blocks (or…

Optimization and Control · Mathematics 2020-09-10 Michael Garstka , Mark Cannon , Paul Goulart

Differential privacy (DP) and local differential privacy (LPD) are frameworks to protect sensitive information in data collections. They are both based on obfuscation. In DP the noise is added to the result of queries on the dataset,…

Cryptography and Security · Computer Science 2019-07-01 Natasha Fernandes , Kacem Lefki , Catuscia Palamidessi

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