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Convex programming with linear constraints plays an important role in the operation of a number of everyday systems. However, absent any additional protections, revealing or acting on the solutions to such problems may reveal information…

Optimization and Control · Mathematics 2024-09-16 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

We consider the problem of minimizing a convex risk with stochastic subgradients guaranteeing $\epsilon$-locally differentially private ($\epsilon$-LDP). While it has been shown that stochastic optimization is possible with $\epsilon$-LDP…

Machine Learning · Computer Science 2019-11-22 Kwang-Sung Jun , Francesco Orabona

Linear regression is frequently applied in a variety of domains, some of which might contain sensitive information. This necessitates that the application of these methods does not reveal private information. Differentially private (DP)…

Machine Learning · Computer Science 2025-12-01 Shrutimoy Das , Debanuj Nayak , Anirban Dasgupta

Differential privacy provides strong privacy guarantees simultaneously enabling useful insights from sensitive datasets. However, it provides the same level of protection for all elements (individuals and attributes) in the data. There are…

Machine Learning · Statistics 2019-08-30 Parameswaran Kamalaruban , Victor Perrier , Hassan Jameel Asghar , Mohamed Ali Kaafar

In this paper, the problem of providing privacy to users requesting data over a network from a distributed storage system (DSS) is considered. The DSS, which is considered as the multi-terminal destination of the network from the user's…

Information Theory · Computer Science 2019-06-24 Razane Tajeddine , Antonia Wachter-Zeh , Camilla Hollanti

Extended differential privacy, a generalization of standard differential privacy (DP) using a general metric, has been widely studied to provide rigorous privacy guarantees while keeping high utility. However, existing works on extended DP…

Cryptography and Security · Computer Science 2023-07-19 Natasha Fernandes , Yusuke Kawamoto , Takao Murakami

Differential privacy (DP) provides a mathematical guarantee limiting what an adversary can learn about any individual from released data. However, achieving this protection typically requires adding noise, and noise can accumulate when many…

Machine Learning · Computer Science 2026-02-12 Amir Asiaee , Chao Yan , Zachary B. Abrams , Bradley A. Malin

With the increasing importance of data privacy, Local Differential Privacy (LDP) has recently become a strong measure of privacy for protecting each user's privacy from data analysts without relying on a trusted third party. In this paper,…

Cryptography and Security · Computer Science 2026-03-16 Shun Zhang , Hai Zhu , Zhili Chen , Haibo Hu

Metric Differential Privacy (mDP) generalizes Local Differential Privacy (LDP) by adapting privacy guarantees based on pairwise distances, enabling context-aware protection and improved utility. While existing optimization-based methods…

Machine Learning · Computer Science 2026-01-16 Chenxi Qiu

Privacy-preserving genomic data sharing is prominent to increase the pace of genomic research, and hence to pave the way towards personalized genomic medicine. In this paper, we introduce ($\epsilon , T$)-dependent local differential…

Cryptography and Security · Computer Science 2021-02-16 Emre Yilmaz , Tianxi Ji , Erman Ayday , Pan Li

Large Language Models (LLMs) generate responses based on user prompts. Often, these prompts may contain highly sensitive information, including personally identifiable information (PII), which could be exposed to third parties hosting these…

Cryptography and Security · Computer Science 2026-03-30 Shashie Dilhara Batan Arachchige , Hassan Jameel Asghar , Benjamin Zi Hao Zhao , Dinusha Vatsalan , Dali Kaafar

We develop new abstractions for reasoning about relaxations of differential privacy: R\'enyi differential privacy, zero-concentrated differential privacy, and truncated concentrated differential privacy, which express different bounds on…

Programming Languages · Computer Science 2019-10-09 Tetsuya Sato , Gilles Barthe , Marco Gaboardi , Justin Hsu , Shin-ya Katsumata

Differential privacy (DP) is the de facto privacy standard against privacy leakage attacks, including many recently discovered ones against large language models (LLMs). However, we discovered that LLMs could reconstruct the altered/removed…

Cryptography and Security · Computer Science 2025-09-19 Shuchao Pang , Zhigang Lu , Haichen Wang , Peng Fu , Yongbin Zhou , Minhui Xue

While Local Differential Privacy (LDP) serves as a foundational primitive for distributed data collection, its stringent noise injection requirement often leads to severe degradation in data utility. This degradation stems from the…

Machine Learning · Computer Science 2026-05-21 Youngmok Ha , Viktor Schlegel , Yidan Sun , Anil Anthony Bharath

Mobile apps and location-based services generate large amounts of location data that can benefit research on traffic optimization, context-aware notifications and public health (e.g., spread of contagious diseases). To preserve individual…

Databases · Computer Science 2021-08-04 Sepanta Zeighami , Ritesh Ahuja , Gabriel Ghinita , Cyrus Shahabi

In this work, we investigate the problem of public data assisted non-interactive Local Differentially Private (LDP) learning with a focus on non-parametric classification. Under the posterior drift assumption, we for the first time derive…

Machine Learning · Statistics 2024-06-04 Yuheng Ma , Hanfang Yang

We consider a setup in which confidential i.i.d. samples $X_1,\dotsc,X_n$ from an unknown finite-support distribution $\boldsymbol{p}$ are passed through $n$ copies of a discrete privatization channel (a.k.a. mechanism) producing outputs…

Machine Learning · Computer Science 2018-11-30 Adriano Pastore , Michael Gastpar

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

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

Differential Privacy (DP) can be applied to raw text by exploiting the spatial arrangement of words in an embedding space. We investigate the implications of such text privatization on Language Models (LMs) and their tendency towards…

Computation and Language · Computer Science 2024-07-02 Stefan Arnold , Rene Gröbner , Annika Schreiner
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