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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 (DP) provides an elegant mathematical framework for defining a provable disclosure risk in the presence of arbitrary adversaries; it guarantees that whether an individual is in a database or not, the results of a DP…

Cryptography and Security · Computer Science 2021-08-19 Aleksandra Slavkovic , Roberto Molinari

We consider the binary classification problem in a setup that preserves the privacy of the original sample. We provide a privacy mechanism that is locally differentially private and then construct a classifier based on the private sample…

Statistics Theory · Mathematics 2019-12-11 Thomas Berrett , Cristina Butucea

In the recent years, Local Differential Privacy (LDP) has been one of the corner stone of privacy preserving data analysis. However, many challenges still opposes its widespread application. One of these problems is the scalability of LDP…

Cryptography and Security · Computer Science 2022-06-15 Thomas Carette

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

Statistics Theory · Mathematics 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

Privacy preservation has become a critical concern in high-dimensional data analysis due to the growing prevalence of data-driven applications. Since its proposal, sliced inverse regression has emerged as a widely utilized statistical…

Machine Learning · Statistics 2025-04-08 Xintao Xia , Linjun Zhang , Zhanrui Cai

We introduce derivative sensitivity, an analogue to local sensitivity for continuous functions. We use this notion in an analysis that determines the amount of noise to be added to the result of a database query in order to obtain a certain…

Cryptography and Security · Computer Science 2018-11-16 Peeter Laud , Alisa Pankova , Martin Pettai

Joint distribution estimation of a dataset under differential privacy is a fundamental problem for many privacy-focused applications, such as query answering, machine learning tasks and synthetic data generation. In this work, we examine…

Data Structures and Algorithms · Computer Science 2021-06-10 Yuchao Tao , Johes Bater , Ashwin Machanavajjhala

Local differential privacy (LDP) is a recently proposed privacy standard for collecting and analyzing data, which has been used, e.g., in the Chrome browser, iOS and macOS. In LDP, each user perturbs her information locally, and only sends…

Cryptography and Security · Computer Science 2019-07-02 Ning Wang , Xiaokui Xiao , Yin Yang , Jun Zhao , Siu Cheung Hui , Hyejin Shin , Junbum Shin , Ge Yu

We provide computationally efficient, differentially private algorithms for the classical regression settings of Least Squares Fitting, Binary Regression and Linear Regression with unbounded covariates. Prior to our work, privacy…

Cryptography and Security · Computer Science 2022-02-24 Jason Milionis , Alkis Kalavasis , Dimitris Fotakis , Stratis Ioannidis

Privacy-preserving estimation of counts of items in streaming data finds applications in several real-world scenarios including word auto-correction and traffic management applications. Recent works of RAPPOR and Apple's count-mean sketch…

Data Structures and Algorithms · Computer Science 2022-12-01 Dinusha Vatsalan , Raghav Bhaskar , Mohamed Ali Kaafar

Differential privacy allows quantifying privacy loss resulting from accessing sensitive personal data. Repeated accesses to underlying data incur increasing loss. Releasing data as privacy-preserving synthetic data would avoid this…

Machine Learning · Statistics 2021-06-10 Joonas Jälkö , Eemil Lagerspetz , Jari Haukka , Sasu Tarkoma , Antti Honkela , Samuel Kaski

Gaussian copulas are widely used to estimate multivariate distributions and relationships. We present algorithms for estimating Gaussian copula correlations that ensure differential privacy. We first convert data values into sets of two-way…

Methodology · Statistics 2026-01-08 Shuo Wang , Joseph Feldman , Jerome P. Reiter

Differentially private (DP) mechanisms protect individual-level information by introducing randomness into the statistical analysis procedure. Despite the availability of numerous DP tools, there remains a lack of general techniques for…

Machine Learning · Statistics 2025-09-25 Zhanyu Wang , Guang Cheng , Jordan Awan

Local differential privacy (LDP) has become a central topic in data privacy research, offering strong privacy guarantees by perturbing user data at the source and removing the need for a trusted curator. However, the noise introduced by LDP…

Machine Learning · Computer Science 2026-03-04 Caihong Qin , Yang Bai

To quantify trade-offs between increasing demand for open data sharing and concerns about sensitive information disclosure, statistical data privacy (SDP) methodology analyzes data release mechanisms which sanitize outputs based on…

Cryptography and Security · Computer Science 2022-05-09 Aleksandra Slavkovic , Jeremy Seeman

We study the problem of estimating a set of $d$ linear queries with respect to some unknown distribution $\mathbf{p}$ over a domain $\mathcal{J}=[J]$ based on a sensitive data set of $n$ individuals under the constraint of local…

Machine Learning · Computer Science 2018-10-08 Raef Bassily

We investigate the local differential privacy (LDP) guarantees of a randomized privacy mechanism via its contraction properties. We first show that LDP constraints can be equivalently cast in terms of the contraction coefficient of the…

Information Theory · Computer Science 2023-02-12 Shahab Asoodeh , Maryam Aliakbarpour , Flavio P. Calmon

In statistical applications it has become increasingly common to encounter data structures that live on non-linear spaces such as manifolds. Classical linear regression, one of the most fundamental methodologies of statistical learning,…

Machine Learning · Statistics 2026-02-10 Aditya Kulkarni , Carlos Soto

Local Differential Privacy (LDP) protocols allow an aggregator to obtain population statistics about sensitive data of a userbase, while protecting the privacy of the individual users. To understand the tradeoff between aggregator utility…

Cryptography and Security · Computer Science 2019-10-18 Milan Lopuhaä-Zwakenberg , Boris Škorić , Ninghui Li
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