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We develop a privatised stochastic variational inference method for Latent Dirichlet Allocation (LDA). The iterative nature of stochastic variational inference presents challenges: multiple iterations are required to obtain accurate…

Machine Learning · Statistics 2018-12-05 Mijung Park , James Foulds , Kamalika Chaudhuri , Max Welling

Differentially private algorithms for answering sets of predicate counting queries on a sensitive database have many applications. Organizations that collect individual-level data, such as statistical agencies and medical institutions, use…

Databases · Computer Science 2018-08-13 Ryan McKenna , Gerome Miklau , Michael Hay , Ashwin Machanavajjhala

Suppose we would like to know all answers to a set of statistical queries C on a data set up to small error, but we can only access the data itself using statistical queries. A trivial solution is to exhaustively ask all queries in C. Can…

Data Structures and Algorithms · Computer Science 2011-10-28 Anupam Gupta , Moritz Hardt , Aaron Roth , Jonathan Ullman

We initiate the study of hypothesis selection under local differential privacy. Given samples from an unknown probability distribution $p$ and a set of $k$ probability distributions $\mathcal{Q}$, we aim to output, under the constraints of…

Data Structures and Algorithms · Computer Science 2020-06-23 Sivakanth Gopi , Gautam Kamath , Janardhan Kulkarni , Aleksandar Nikolov , Zhiwei Steven Wu , Huanyu Zhang

Differential privacy is a robust privacy standard that has been successfully applied to a range of data analysis tasks. Despite much recent work, optimal strategies for answering a collection of correlated queries are not known. We study…

Databases · Computer Science 2010-09-07 Chao Li , Michael Hay , Vibhor Rastogi , Gerome Miklau , Andrew McGregor

We revisit the problem of finding a minimum enclosing ball with differential privacy: Given a set of $n$ points in the Euclidean space $\mathbb{R}^d$ and an integer $t\leq n$, the goal is to find a ball of the smallest radius $r_{opt}$…

Data Structures and Algorithms · Computer Science 2017-07-18 Kobbi Nissim , Uri Stemmer

Recently differential privacy has been used for a number of streaming, data structure, and dynamic graph problems as a means of hiding the internal randomness of the data structure, so that multiple possibly adaptive queries can be made…

Data Structures and Algorithms · Computer Science 2025-06-09 Shiyuan Feng , Ying Feng , George Z. Li , Zhao Song , David P. Woodruff , Lichen Zhang

Privacy preservation has become a critical concern in high-dimensional data analysis due to the growing prevalence of data-driven applications. Since its proposal, sliced inverse regression has emerged as a widely utilized statistical…

Machine Learning · Statistics 2025-04-08 Xintao Xia , Linjun Zhang , Zhanrui Cai

The purpose of this paper is to develop a mathematical analysis theory to solve differential privacy problems. The heart of our approaches is to use analytic tools to characterize the correlations among the outputs of different datasets,…

Cryptography and Security · Computer Science 2018-01-30 Genqiang Wu , Xianyao Xia , Yeping He

We design new differentially private algorithms for the problems of adversarial bandits and bandits with expert advice. For adversarial bandits, we give a simple and efficient conversion of any non-private bandit algorithm to a private…

Machine Learning · Computer Science 2025-05-29 Hilal Asi , Vinod Raman , Kunal Talwar

This paper investigates differentially private analysis of distance-based outliers. The problem of outlier detection is to find a small number of instances that are apparently distant from the remaining instances. On the other hand, the…

Machine Learning · Statistics 2015-07-28 Rina Okada , Kazuto Fukuchi , Kazuya Kakizaki , Jun Sakuma

We study synthetic data release for answering multiple linear queries over a set of database tables in a differentially private way. Two special cases have been considered in the literature: how to release a synthetic dataset for answering…

Databases · Computer Science 2023-06-28 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

We study privately releasing column sums of a $d$-dimensional table with entries from a universe $\chi$ undergoing $T$ row updates, called histogram under continual release. Our mechanisms give better additive $\ell_\infty$-error than…

Data Structures and Algorithms · Computer Science 2025-03-11 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stability when $\textit{all}$ of a person's datapoints can be…

Data Structures and Algorithms · Computer Science 2024-07-22 Sushant Agarwal , Gautam Kamath , Mahbod Majid , Argyris Mouzakis , Rose Silver , Jonathan Ullman

We propose a generic mechanism to efficiently release differentially private synthetic versions of high-dimensional datasets with high utility. The core technique in our mechanism is the use of copulas. Specifically, we use the Gaussian…

Cryptography and Security · Computer Science 2019-02-06 Hassan Jameel Asghar , Ming Ding , Thierry Rakotoarivelo , Sirine Mrabet , Mohamed Ali Kaafar

We study the accuracy of differentially private mechanisms in the continual release model. A continual release mechanism receives a sensitive dataset as a stream of $T$ inputs and produces, after receiving each input, an accurate output on…

Data Structures and Algorithms · Computer Science 2022-01-12 Palak Jain , Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith

In this work, we study the task of estimating the numbers of distinct and $k$-occurring items in a time window under the constraint of differential privacy (DP). We consider several variants depending on whether the queries are on general…

Data Structures and Algorithms · Computer Science 2022-11-22 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

This paper presents a differentially private algorithm for linear regression learning in a decentralized fashion. Under this algorithm, privacy budget is theoretically derived, in addition to that the solution error is shown to be bounded…

Cryptography and Security · Computer Science 2020-04-17 Yang Liu , Xiong Zhang , Shuqi Qin , Xiaoping Lei

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

Data Structures and Algorithms · Computer Science 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar