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Recent years have witnessed growing concerns about the privacy of sensitive data. In response to these concerns, differential privacy has emerged as a rigorous framework for privacy protection, gaining widespread recognition in both…

Statistics Theory · Mathematics 2024-01-09 Ilmun Kim , Antonin Schrab

Confidence intervals are a fundamental tool for quantifying the uncertainty of parameters of interest. With the increase of data privacy awareness, developing a private version of confidence intervals has gained growing attention from both…

Methodology · Statistics 2024-04-12 Shurong Lin , Mark Bun , Marco Gaboardi , Eric D. Kolaczyk , Adam Smith

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

An algorithm is developed to gradually relax the Differential Privacy (DP) guarantee of a randomized response. The output from each relaxation maintains the same probability distribution as a standard randomized response with the equivalent…

Cryptography and Security · Computer Science 2024-01-26 Mingen Pan

Differential privacy is a rigorous privacy condition achieved by randomizing query answers. This paper develops efficient algorithms for answering multiple queries under differential privacy with low error. We pursue this goal by advancing…

Databases · Computer Science 2011-03-08 Chao Li , Gerome Miklau

We consider the problem of hypothesis testing for discrete distributions. In the standard model, where we have sample access to an underlying distribution $p$, extensive research has established optimal bounds for uniformity testing,…

Machine Learning · Computer Science 2024-12-03 Maryam Aliakbarpour , Piotr Indyk , Ronitt Rubinfeld , Sandeep Silwal

Bayesian inference is an important technique throughout statistics. The essence of Beyesian inference is to derive the posterior belief updated from prior belief by the learned information, which is a set of differentially private answers…

Databases · Computer Science 2012-11-12 Yonghui Xiao , Li Xiong

Differential privacy formalises privacy-preserving mechanisms that provide access to a database. We pose the question of whether Bayesian inference itself can be used directly to provide private access to data, with no modification. The…

This paper aims at answering the following two questions in privacy-preserving data analysis and publishing: What formal privacy guarantee (if any) does $k$-anonymization provide? How to benefit from the adversary's uncertainty about the…

Cryptography and Security · Computer Science 2015-03-17 Ninghui Li , Wahbeh Qardaji , Dong Su

The Gaussian mechanism is one differential privacy mechanism commonly used to protect numerical data. However, it may be ill-suited to some applications because it has unbounded support and thus can produce invalid numerical answers to…

Cryptography and Security · Computer Science 2022-12-01 Bo Chen , Matthew Hale

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

Security protocols often use randomization to achieve probabilistic non-determinism. This non-determinism, in turn, is used in obfuscating the dependence of observable values on secret data. Since the correctness of security protocols is…

Cryptography and Security · Computer Science 2009-06-30 Susmit Jha

In various real-world scenarios, such as recommender systems and political surveys, pairwise rankings are commonly collected and utilized for rank aggregation to derive an overall ranking of items. However, preference rankings can reveal…

Machine Learning · Statistics 2025-04-04 Shirong Xu , Will Wei Sun , Guang Cheng

Differential Privacy (DP) provides tight upper bounds on the capabilities of optimal adversaries, but such adversaries are rarely encountered in practice. Under the hypothesis testing/membership inference interpretation of DP, we examine…

Cryptography and Security · Computer Science 2022-10-25 Georgios Kaissis , Alexander Ziller , Stefan Kolek Martinez de Azagra , Daniel Rueckert

We give a new proof of the "transfer theorem" underlying adaptive data analysis: that any mechanism for answering adaptively chosen statistical queries that is differentially private and sample-accurate is also accurate out-of-sample. Our…

Machine Learning · Computer Science 2024-06-05 Christopher Jung , Katrina Ligett , Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi , Moshe Shenfeld

Differential privacy (DP) is widely employed to provide privacy protection for individuals by limiting information leakage from the aggregated data. Two well-known models of DP are the central model and the local model. The former requires…

Cryptography and Security · Computer Science 2024-11-05 Yucheng Fu , Tianhao Wang

Differential privacy (DP) provides a formal privacy guarantee that prevents adversaries with access to machine learning models from extracting information about individual training points. Differentially private stochastic gradient descent…

Cryptography and Security · Computer Science 2022-12-15 Jie Fu , Zhili Chen , XinPeng Ling

Generalized linear models (GLMs) such as logistic regression are among the most widely used arms in data analyst's repertoire and often used on sensitive datasets. A large body of prior works that investigate GLMs under differential privacy…

Machine Learning · Computer Science 2021-05-13 Tejas Kulkarni , Joonas Jälkö , Antti Koskela , Samuel Kaski , Antti Honkela

\epsilon-differential privacy is the state-of-the-art model for releasing sensitive information while protecting privacy. Numerous methods have been proposed to enforce epsilon-differential privacy in various analytical tasks, e.g.,…

Databases · Computer Science 2012-08-02 Jun Zhang , Zhenjie Zhang , Xiaokui Xiao , Yin Yang , Marianne Winslett

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt