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Median regression analysis has robustness properties which make it attractive compared with regression based on the mean, while differential privacy can protect individual privacy during statistical analysis of certain datasets. In this…

Computation · Statistics 2020-06-05 E Chen , Ying Miao , Yu Tang

Many data producers seek to provide users access to confidential data without unduly compromising data subjects' privacy and confidentiality. One general strategy is to require users to do analyses without seeing the confidential data; for…

Methodology · Statistics 2018-06-12 Andrés F. Barrientos , Jerome P. Reiter , Ashwin Machanavajjhala , Yan Chen

Leveraging transfer learning has recently been shown to be an effective strategy for training large models with Differential Privacy (DP). Moreover, somewhat surprisingly, recent works have found that privately training just the last layer…

Machine Learning · Computer Science 2022-11-28 Harsh Mehta , Walid Krichene , Abhradeep Thakurta , Alexey Kurakin , Ashok Cutkosky

Differential privacy is a strong mathematical notion of privacy. Still, a prominent challenge when using differential privacy in real data collection is understanding and counteracting the accuracy loss that differential privacy imposes. As…

Cryptography and Security · Computer Science 2021-08-24 Boel Nelson

We address the problem of general function release under differential privacy, by developing a functional mechanism that applies under the weak assumptions of oracle access to target function evaluation and sensitivity. These conditions…

Data Structures and Algorithms · Computer Science 2016-12-12 Francesco Aldà , Benjamin I. P. Rubinstein

Existing work on differentially private linear regression typically assumes that end users can precisely set data bounds or algorithmic hyperparameters. End users often struggle to meet these requirements without directly examining the data…

Machine Learning · Computer Science 2023-06-02 Travis Dick , Jennifer Gillenwater , Matthew Joseph

We develop formal privacy mechanisms for releasing statistics from data with many outlying values, such as income data. These mechanisms ensure that a per-record differential privacy guarantee degrades slowly in the protected records'…

Cryptography and Security · Computer Science 2025-05-05 Brian Finley , Anthony M Caruso , Justin C Doty , Ashwin Machanavajjhala , Mikaela R Meyer , David Pujol , William Sexton , Zachary Terner

With the development of big data and machine learning, privacy concerns have become increasingly critical, especially when handling heterogeneous datasets containing sensitive personal information. Differential privacy provides a rigorous…

Machine Learning · Statistics 2025-08-08 Ziliang Shen , Caixing Wang , Shaoli Wang , Yibo Yan

Motivated by the rapid rise in statistical tools in Functional Data Analysis, we consider the Gaussian mechanism for achieving differential privacy with parameter estimates taking values in a, potentially infinite-dimensional, separable…

Statistics Theory · Mathematics 2019-01-29 Ardalan Mirshani , Matthew Reimherr , Aleksandra Slavkovic

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

Machine Learning · Statistics 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

In this paper, we focus our attention on private Empirical Risk Minimization (ERM), which is one of the most commonly used data analysis method. We take the first step towards solving the above problem by theoretically exploring the effect…

Cryptography and Security · Computer Science 2022-06-09 Yuzhe Li , Yong Liu , Bo Li , Weiping Wang , Nan Liu

Differential privacy is a framework for privately releasing summaries of a database. Previous work has focused mainly on methods for which the output is a finite dimensional vector, or an element of some discrete set. We develop methods for…

Machine Learning · Statistics 2012-03-13 Rob Hall , Alessandro Rinaldo , Larry Wasserman

Differential privacy is a popular privacy model within the research community because of the strong privacy guarantee it offers, namely that the presence or absence of any individual in a data set does not significantly influence the…

Cryptography and Security · Computer Science 2017-02-09 Jordi Soria-Comas , Josep Domingo-Ferrer , David Sánchez , David Megías

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

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

Cryptography and Security · Computer Science 2008-09-30 Adam Smith

In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the…

Cryptography and Security · Computer Science 2024-12-18 Aras Selvi , Huikang Liu , Wolfram Wiesemann

Differentially Private (DP) data release is a promising technique to disseminate data without compromising the privacy of data subjects. However the majority of prior work has focused on scenarios where a single party owns all the data. In…

Cryptography and Security · Computer Science 2022-06-22 Ruihan Wu , Xin Yang , Yuanshun Yao , Jiankai Sun , Tianyi Liu , Kilian Q. Weinberger , Chong Wang

Differential privacy provides strong privacy guarantees for machine learning applications. Much recent work has been focused on developing differentially private models, however there has been a gap in other stages of the machine learning…

Machine Learning · Computer Science 2021-09-07 Ashly Lau , Jonathan Passerat-Palmbach

Differential privacy has gained popularity in machine learning as a strong privacy guarantee, in contrast to privacy mitigation techniques such as k-anonymity. However, applying differential privacy to n-gram counts significantly degrades…

Cryptography and Security · Computer Science 2021-02-01 Osman Ramadan , James Withers , Douglas Orr

We systematically investigate the preservation of differential privacy in functional data analysis, beginning with functional mean estimation and extending to varying coefficient model estimation. Our work introduces a distributed learning…

Statistics Theory · Mathematics 2026-02-11 Gengyu Xue , Zhenhua Lin , Yi Yu