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We consider the problem of computing tight privacy guarantees for the composition of subsampled differentially private mechanisms. Recent algorithms can numerically compute the privacy parameters to arbitrary precision but must be carefully…

Cryptography and Security · Computer Science 2025-04-09 Christian Janos Lebeda , Matthew Regehr , Gautam Kamath , Thomas Steinke

In this work we present novel differentially private identity (goodness-of-fit) testers for natural and widely studied classes of multivariate product distributions: Gaussians in $\mathbb{R}^d$ with known covariance and product…

Data Structures and Algorithms · Computer Science 2022-03-07 Clément L. Canonne , Gautam Kamath , Audra McMillan , Jonathan Ullman , Lydia Zakynthinou

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

We develop both theory and algorithms to analyze privatized data in unbounded differential privacy (DP), where even the sample size is considered a sensitive quantity that requires privacy protection. We show that the distance between the…

Statistics Theory · Mathematics 2026-04-24 Jordan Awan , Andres Felipe Barrientos , Nianqiao Ju

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

We study the problem of sampling from a distribution under local differential privacy (LDP). Given a private distribution $P \in \mathcal{P}$, the goal is to generate a single sample from a distribution that remains close to $P$ in…

Machine Learning · Computer Science 2025-10-13 Hrad Ghoukasian , Bonwoo Lee , Shahab Asoodeh

Local differential privacy (LDP) can provide each user with strong privacy guarantees under untrusted data curators while ensuring accurate statistics derived from privatized data. Due to its powerfulness, LDP has been widely adopted to…

Cryptography and Security · Computer Science 2019-06-06 Teng Wang , Jun Zhao , Xinyu Yang , Xuebin Ren

Programmatically generating tight differential privacy (DP) bounds is a hard problem. Two core challenges are (1) finding expressive, compact, and efficient encodings of the distributions of DP algorithms, and (2) state space explosion…

Cryptography and Security · Computer Science 2024-10-02 Lisa Oakley , Steven Holtzen , Alina Oprea

We consider the task of producing heatmaps from users' aggregated data while protecting their privacy. We give a differentially private (DP) algorithm for this task and demonstrate its advantages over previous algorithms on real-world…

Data Structures and Algorithms · Computer Science 2022-11-28 Badih Ghazi , Junfeng He , Kai Kohlhoff , Ravi Kumar , Pasin Manurangsi , Vidhya Navalpakkam , Nachiappan Valliappan

We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

We study discrete distribution estimation under user-level local differential privacy (LDP). In user-level $\varepsilon$-LDP, each user has $m\ge1$ samples and the privacy of all $m$ samples must be preserved simultaneously. We resolve the…

Machine Learning · Computer Science 2022-11-08 Jayadev Acharya , Yuhan Liu , Ziteng Sun

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

The objective of differential privacy (DP) is to protect privacy by producing an output distribution that is indistinguishable between any two neighboring databases. However, traditional differentially private mechanisms tend to produce…

Cryptography and Security · Computer Science 2023-11-07 Kai Zhang , Yanjun Zhang , Ruoxi Sun , Pei-Wei Tsai , Muneeb Ul Hassan , Xin Yuan , Minhui Xue , Jinjun Chen

This paper revisits the DBSCAN problem under differential privacy (DP). Existing DP-DBSCAN algorithms aim at publishing the cluster labels of the input points. However, we show that both empirically and theoretically, this approach cannot…

Cryptography and Security · Computer Science 2026-03-17 Yuan Qiu , Ke Yi

We study the problem of testing discrete distributions with a focus on the high probability regime. Specifically, given samples from one or more discrete distributions, a property $\mathcal{P}$, and parameters $0< \epsilon, \delta <1$, we…

Data Structures and Algorithms · Computer Science 2020-09-15 Ilias Diakonikolas , Themis Gouleakis , Daniel M. Kane , John Peebles , Eric Price

We consider the problem of Bayesian learning on sensitive datasets and present two simple but somewhat surprising results that connect Bayesian learning to "differential privacy:, a cryptographic approach to protect individual-level privacy…

Machine Learning · Statistics 2015-04-14 Yu-Xiang Wang , Stephen E. Fienberg , Alex Smola

The need to analyze sensitive data, such as medical records or financial data, has created a critical research challenge in recent years. In this paper, we adopt the framework of differential privacy, and explore mechanisms for generating…

Cryptography and Security · Computer Science 2024-05-09 Nikolija Bojkovic , Po-Ling Loh

(Gradient) Expectation Maximization (EM) is a widely used algorithm for estimating the maximum likelihood of mixture models or incomplete data problems. A major challenge facing this popular technique is how to effectively preserve the…

Machine Learning · Computer Science 2022-01-19 Di Wang , Jiahao Ding , Lijie Hu , Zejun Xie , Miao Pan , Jinhui Xu

Algorithms such as Differentially Private SGD enable training machine learning models with formal privacy guarantees. However, there is a discrepancy between the protection that such algorithms guarantee in theory and the protection they…