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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

A novel definition for data privacy in quantum computing based on quantum hypothesis testing is presented in this paper. The parameters in this privacy notion possess an operational interpretation based on the success/failure of an…

Quantum Physics · Physics 2023-02-27 Farhad Farokhi

The literature on differential privacy almost invariably assumes that the data to be analyzed are fully observed. In most practical applications this is an unrealistic assumption. A popular strategy to address this problem is imputation, in…

Databases · Computer Science 2022-07-15 Soumojit Das , Jorg Drechsler , Keith Merrill , Shawn Merrill

We propose a scheme for auditing differentially private machine learning systems with a single training run. This exploits the parallelism of being able to add or remove multiple training examples independently. We analyze this using the…

Machine Learning · Computer Science 2023-05-16 Thomas Steinke , Milad Nasr , Matthew Jagielski

This paper concerns differentially private Bayesian estimation of the parameters of a population distribution, when a statistic of a sample from that population is shared in noise to provide differential privacy. This work mainly addresses…

Methodology · Statistics 2023-01-09 Baris Alparslan , Sinan Yildirim

Achieving differential privacy (DP) guarantees in fully decentralized machine learning is challenging due to the absence of a central aggregator and varying trust assumptions among nodes. We present a framework for DP analysis of…

Machine Learning · Computer Science 2026-02-06 Antti Koskela , Tejas Kulkarni

We find separation rates for testing multinomial or more general discrete distributions under the constraint of local differential privacy. We construct efficient randomized algorithms and test procedures, in both the case where only…

Statistics Theory · Mathematics 2020-05-27 Thomas B. Berrett , Cristina Butucea

A number of learning models used in consequential domains, such as to assist in legal, banking, hiring, and healthcare decisions, make use of potentially sensitive users' information to carry out inference. Further, the complete set of…

Machine Learning · Computer Science 2023-02-02 Cuong Tran , Ferdinando Fioretto

Over the last decade there have been great strides made in developing techniques to compute functions privately. In particular, Differential Privacy gives strong promises about conclusions that can be drawn about an individual. In contrast,…

Databases · Computer Science 2015-03-17 Graham Cormode

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan

In this paper, we theoretically study the offline alignment of language models with human preference feedback, under both preference label corruption and privacy protections. To this end, we propose Square$\chi$PO, a simple one-line change…

Machine Learning · Computer Science 2025-05-28 Xingyu Zhou , Yulian Wu , Wenqian Weng , Francesco Orabona

It is well recognised that data mining and statistical analysis pose a serious treat to privacy. This is true for financial, medical, criminal and marketing research. Numerous techniques have been proposed to protect privacy, including…

Cryptography and Security · Computer Science 2014-09-09 Mousa Alfalayleh , Ljiljana Brankovic

We study privacy-utility trade-offs where users share privacy-correlated useful information with a service provider to obtain some utility. The service provider is adversarial in the sense that it can infer the users' private information…

Information Theory · Computer Science 2021-06-29 Xiaoming Duan , Zhe Xu , Rui Yan , Ufuk Topcu

Privacy-protected microdata are often the desired output of a differentially private algorithm since microdata is familiar and convenient for downstream users. However, there is a statistical price for this kind of convenience. We show that…

The sequential hypothesis testing problem is a class of statistical analyses where the sample size is not fixed in advance. Instead, the decision-process takes in new observations sequentially to make real-time decisions for testing an…

Machine Learning · Statistics 2022-04-12 Wanrong Zhang , Yajun Mei , Rachel Cummings

A tremendous amount of individual-level data is generated each day, of use to marketing, decision makers, and machine learning applications. This data often contain private and sensitive information about individuals, which can be disclosed…

Cryptography and Security · Computer Science 2019-01-23 Marmar Orooji , Gerald M. Knapp

In the \emph{shuffle model} of differential privacy, data-holding users send randomized messages to a secure shuffler, the shuffler permutes the messages, and the resulting collection of messages must be differentially private with regard…

Cryptography and Security · Computer Science 2020-08-13 Victor Balcer , Albert Cheu , Matthew Joseph , Jieming Mao

In this paper, we consider differentially private classification when some features are sensitive, while the rest of the features and the label are not. We adapt the definition of differential privacy naturally to this setting. Our main…

Machine Learning · Computer Science 2023-12-14 Zeyu Shen , Anilesh Krishnaswamy , Janardhan Kulkarni , Kamesh Munagala

While significant progress has been made in conventional fairness-aware machine learning (ML) and differentially private ML (DPML), the fairness of privacy protection across groups remains underexplored. Existing studies have proposed…

Machine Learning · Computer Science 2025-11-18 Zhi Yang , Changwu Huang , Ke Tang , Xin Yao

Since its introduction in 2006, differential privacy has emerged as a predominant statistical tool for quantifying data privacy in academic works. Yet despite the plethora of research and open-source utilities that have accompanied its…

Cryptography and Security · Computer Science 2022-11-09 Gonzalo Munilla Garrido , Xiaoyuan Liu , Florian Matthes , Dawn Song
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