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In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

In differential privacy (DP), we want to query a database about n users, in a way that "leaks at most eps about any individual user," even conditioned on any outcome of the query. Meanwhile, in gentle measurement, we want to measure n…

Quantum Physics · Physics 2019-04-19 Scott Aaronson , Guy N. Rothblum

Differential privacy (DP) has arisen as the state-of-the-art metric for quantifying individual privacy when sensitive data are analyzed, and it is starting to see practical deployment in organizations such as the US Census Bureau, Apple,…

Cryptography and Security · Computer Science 2020-04-21 Sameer Wagh , Xi He , Ashwin Machanavajjhala , Prateek Mittal

The shuffle model of Differential Privacy (DP) is an enhanced privacy protocol which introduces an intermediate trusted server between local users and a central data curator. It significantly amplifies the central DP guarantee by…

Cryptography and Security · Computer Science 2024-07-26 Yixuan Liu , Yuhan Liu , Li Xiong , Yujie Gu , Hong Chen

Differential privacy (DP) is a formal notion for quantifying the privacy loss of algorithms. Algorithms in the central model of DP achieve high accuracy but make the strongest trust assumptions whereas those in the local DP model make the…

Cryptography and Security · Computer Science 2021-06-09 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Rasmus Pagh

Training with differential privacy (DP) provides a guarantee to members in a dataset that they cannot be identified by users of the released model. However, those data providers, and, in general, the public, lack methods to efficiently…

Machine Learning · Computer Science 2025-12-04 Zoë Ruha Bell , Anvith Thudi , Olive Franzese-McLaughlin , Nicolas Papernot , Shafi Goldwasser

We provide improved differentially private algorithms for identity testing of high-dimensional distributions. Specifically, for $d$-dimensional Gaussian distributions with known covariance $\Sigma$, we can test whether the distribution…

Data Structures and Algorithms · Computer Science 2022-07-26 Shyam Narayanan

The integration of Differential Privacy (DP) with diffusion models (DMs) presents a promising yet challenging frontier, particularly due to the substantial memorization capabilities of DMs that pose significant privacy risks. Differential…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Yu-Lin Tsai , Yizhe Li , Zekai Chen , Po-Yu Chen , Chia-Mu Yu , Xuebin Ren , Francois Buet-Golfouse

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

Differential Privacy (DP) provides a rigorous framework for releasing statistics while protecting individual information present in a dataset. Although substantial progress has been made on differentially private linear regression, existing…

Statistics Theory · Mathematics 2026-01-16 Getoar Sopa , Marco Avella Medina , Cynthia Rush

Private closeness testing asks to decide whether the underlying probability distributions of two sensitive datasets are identical or differ significantly in statistical distance, while guaranteeing (differential) privacy of the data. As in…

Data Structures and Algorithms · Computer Science 2023-09-14 Clément L. Canonne , Yucheng Sun

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

We explore the trade-off between privacy and statistical utility in private two-sample testing under local differential privacy (LDP) for both multinomial and continuous data. We begin by addressing the multinomial case, where we introduce…

Machine Learning · Statistics 2025-12-30 Jongmin Mun , Seungwoo Kwak , Ilmun Kim

We study the fundamental problems of identity testing (goodness of fit), and closeness testing (two sample test) of distributions over $k$ elements, under differential privacy. While the problems have a long history in statistics, finite…

Machine Learning · Computer Science 2017-11-01 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

We study the problem of distribution testing when the samples can only be accessed using a locally differentially private mechanism and focus on two representative testing questions of identity (goodness-of-fit) and independence testing for…

Data Structures and Algorithms · Computer Science 2018-08-08 Jayadev Acharya , Clément L. Canonne , Cody Freitag , Himanshu Tyagi

In this work, we present a connection between Lipschitz property testing and a relaxed notion of differential privacy, where we assume that the datasets are being sampled from a domain according to some distribution defined on it.…

Cryptography and Security · Computer Science 2012-09-19 Kashyap Dixit , Madhav Jha , Abhradeep Thakurta

The growing popularity and adoption of differential privacy in academic and industrial settings has resulted in the development of increasingly sophisticated algorithms for releasing information while preserving privacy. Accompanying this…

Programming Languages · Computer Science 2016-12-13 Danfeng Zhang , Daniel Kifer

Estimating causal effects from randomized experiments is only possible if participants are willing to disclose their potentially sensitive responses. Differential privacy, a widely used framework for ensuring an algorithms privacy…

Machine Learning · Statistics 2025-05-29 Adel Javanmard , Vahab Mirrokni , Jean Pouget-Abadie

The task of statistical inference, which includes the building of confidence intervals and tests for parameters and effects of interest to a researcher, is still an open area of investigation in a differentially private (DP) setting.…

Methodology · Statistics 2025-07-17 Ogonnaya Michael Romanus , Younes Boulaguiem , Roberto Molinari

Many differentially private algorithms for answering database queries involve a step that reconstructs a discrete data distribution from noisy measurements. This provides consistent query answers and reduces error, but often requires space…

Machine Learning · Computer Science 2021-10-27 Ryan McKenna , Siddhant Pradhan , Daniel Sheldon , Gerome Miklau