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We examine the relationship between privacy metrics that utilize information density to measure information leakage between a private and a disclosed random variable. Firstly, we prove that bounding the information density from above or…

Information Theory · Computer Science 2024-02-21 Leonhard Grosse , Sara Saeidian , Parastoo Sadeghi , Tobias J. Oechtering , Mikael Skoglund

The objective of machine learning is to extract useful information from data, while privacy is preserved by concealing information. Thus it seems hard to reconcile these competing interests. However, they frequently must be balanced when…

Machine Learning · Computer Science 2014-12-25 Zhanglong Ji , Zachary C. Lipton , Charles Elkan

Differential privacy (DP) is a mathematical privacy notion increasingly deployed across government and industry. With DP, privacy protections are probabilistic: they are bounded by the privacy budget parameter, $\epsilon$. Prior work in…

Cryptography and Security · Computer Science 2023-03-02 Priyanka Nanayakkara , Mary Anne Smart , Rachel Cummings , Gabriel Kaptchuk , Elissa Redmiles

Differential privacy is widely considered the formal privacy for privacy-preserving data analysis due to its robust and rigorous guarantees, with increasingly broad adoption in public services, academia, and industry. Despite originating in…

Statistics Theory · Mathematics 2024-12-05 Weijie J. Su

Differential privacy is a privacy measure based on the difficulty of discriminating between similar input data. In differential privacy analysis, similar data usually implies that their distance does not exceed a predetermined threshold.…

Optimization and Control · Mathematics 2021-06-25 Genki Sugiura , Kaito Ito , Kenji Kashima

Differential privacy is a framework for protecting the identity of individual data points in the decision-making process. In this note, we propose a new form of differential privacy called tangent differential privacy. Compared with the…

Machine Learning · Computer Science 2024-06-14 Lexing Ying

Differential privacy protects an individual's privacy by perturbing data on an aggregated level (DP) or individual level (LDP). We report four online human-subject experiments investigating the effects of using different approaches to…

Cryptography and Security · Computer Science 2020-04-01 Aiping Xiong , Tianhao Wang , Ninghui Li , Somesh Jha

Differential privacy is a rigorous mathematical framework for evaluating and protecting data privacy. In most existing studies, there is a vulnerable assumption that records in a dataset are independent when differential privacy is applied.…

Cryptography and Security · Computer Science 2021-01-12 Tao Zhang , Tianqing Zhu , Renping Liu , Wanlei Zhou

So far, privacy models follow two paradigms. The first paradigm, termed inferential privacy in this paper, focuses on the risk due to statistical inference of sensitive information about a target record from other records in the database.…

Databases · Computer Science 2012-02-17 Ke Wang , Peng Wang , Ada Waichee Fu , Raywong Chi-Wing Wong

Differential Privacy (DP) has become a gold standard in privacy-preserving data analysis. While it provides one of the most rigorous notions of privacy, there are many settings where its applicability is limited. Our main contribution is in…

Cryptography and Security · Computer Science 2021-10-20 Aman Bansal , Rahul Chunduru , Deepesh Data , Manoj Prabhakaran

Differential privacy (DP) is the prevailing technique for protecting user data in machine learning models. However, deficits to this framework include a lack of clarity for selecting the privacy budget $\epsilon$ and a lack of…

Machine Learning · Computer Science 2023-06-29 Tyler LeBlond , Joseph Munoz , Fred Lu , Maya Fuchs , Elliott Zaresky-Williams , Edward Raff , Brian Testa

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

Cryptography and Security · Computer Science 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

The explosion in volume and variety of data offers enormous potential for research and commercial use. Increased availability of personal data is of particular interest in enabling highly customised services tuned to individual needs.…

Cryptography and Security · Computer Science 2017-10-05 Naoise Holohan , Spiros Antonatos , Stefano Braghin , Pól Mac Aonghusa

Machine learning models should not reveal particular information that is not otherwise accessible. Differential privacy provides a formal framework to mitigate privacy risks by ensuring that the inclusion or exclusion of any single data…

Cryptography and Security · Computer Science 2026-03-12 Francisco Aguilera-Martínez , Fernando Berzal

We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

Data Structures and Algorithms · Computer Science 2015-01-27 Thomas Steinke , Jonathan Ullman

Differential privacy (DP) has become the de facto standard of privacy preservation due to its strong protection and sound mathematical foundation, which is widely adopted in different applications such as big data analysis, graph data…

Cryptography and Security · Computer Science 2021-12-06 Honglu Jiang , Yifeng Gao , S M Sarwar , Luis GarzaPerez , Mahmudul Robin

In recent years, machine learning - particularly deep learning - has significantly impacted the field of information management. While several strategies have been proposed to restrict models from learning and memorizing sensitive…

Computation and Language · Computer Science 2024-07-10 Jiajia Li , Lu Yang , Letian Peng , Shitou Zhang , Ping Wang , Zuchao Li , Hai Zhao

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…

We consider the noise complexity of differentially private mechanisms in the setting where the user asks $d$ linear queries $f\colon\Rn\to\Re$ non-adaptively. Here, the database is represented by a vector in $\Rn$ and proximity between…

Computational Complexity · Computer Science 2009-11-09 Moritz Hardt , Kunal Talwar

Differential privacy (DP) considers a scenario, where an adversary has almost complete information about the entries of a database This worst-case assumption is likely to overestimate the privacy thread for an individual in real life.…

Cryptography and Security · Computer Science 2025-04-16 Dennis Breutigam , Rüdiger Reischuk