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In this work, we introduce a novel framework for privately optimizing objectives that rely on Wasserstein distances between data-dependent empirical measures. Our main theoretical contribution is, based on an explicit formulation of the…

Machine Learning · Computer Science 2025-05-22 David Rodríguez-Vítores , Clément Lalanne , Jean-Michel Loubes

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

Rankings are widely collected in various real-life scenarios, leading to the leakage of personal information such as users' preferences on videos or news. To protect rankings, existing works mainly develop privacy protection on a single…

Machine Learning · Statistics 2023-01-04 Shirong Xu , Will Wei Sun , Guang Cheng

This work studies formal utility and privacy guarantees for a simple multiplicative database transformation, where the data are compressed by a random linear or affine transformation, reducing the number of data records substantially, while…

Machine Learning · Statistics 2009-01-13 Shuheng Zhou , Katrina Ligett , Larry Wasserman

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

While generation of synthetic data under differential privacy (DP) has received a lot of attention in the data privacy community, analysis of synthetic data has received much less. Existing work has shown that simply analysing DP synthetic…

Machine Learning · Statistics 2023-02-27 Ossi Räisä , Joonas Jälkö , Samuel Kaski , Antti Honkela

Differentially private wireless federated learning (DPWFL) is a promising framework for protecting sensitive user data. However, foundational questions on how to precisely characterize privacy loss remain open, and existing work is further…

Machine Learning · Computer Science 2026-04-28 Chen Yaoling , Liang Hao , Tu Xiaotong

As data-privacy regulations tighten and statistical models are increasingly deployed on sensitive human-sourced data, privacy-preserving linear regression has become a critical necessity. For the add-remove DP model, Kulesza et al. (2024)…

Information Theory · Computer Science 2026-04-15 Sasmita Harini S , Anshoo Tandon

Service providers of large language model (LLM) applications collect user instructions in the wild and use them in further aligning LLMs with users' intentions. These instructions, which potentially contain sensitive information, are…

Cryptography and Security · Computer Science 2024-07-03 Da Yu , Peter Kairouz , Sewoong Oh , Zheng Xu

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

Differential privacy is a restriction on data processing algorithms that provides strong confidentiality guarantees for individual records in the data. However, research on proper statistical inference, that is, research on properly…

Cryptography and Security · Computer Science 2021-07-06 Joerg Drechsler , Ira Globus-Harris , Audra McMillan , Jayshree Sarathy , Adam Smith

We prove that $\mathbb{F}_p$ sketch, a well-celebrated streaming algorithm for frequency moments estimation, is differentially private as is when $p\in(0, 1]$. $\mathbb{F}_p$ sketch uses only polylogarithmic space, exponentially better than…

Cryptography and Security · Computer Science 2021-10-04 Lun Wang , Iosif Pinelis , Dawn Song

In this paper, we study the problem of publishing a stream of real-valued data satisfying differential privacy (DP). One major challenge is that the maximal possible value can be quite large; thus it is necessary to estimate a threshold so…

Cryptography and Security · Computer Science 2023-12-11 Tianhao Wang , Joann Qiongna Chen , Zhikun Zhang , Dong Su , Yueqiang Cheng , Zhou Li , Ninghui Li , Somesh Jha

Local Differential Privacy (LDP) has emerged as a widely adopted privacy-preserving technique in modern data analytics, enabling users to share statistical insights while maintaining robust privacy guarantees. However, current LDP…

Cryptography and Security · Computer Science 2025-03-12 Rong Du , Qingqing Ye , Yue Fu , Haibo Hu

This article examines density estimation by combining a parametric approach with a nonparametric factor. The plug-in parametric estimator is seen as a crude estimator of the true density and is adjusted by a nonparametric factor. The…

Statistics Theory · Mathematics 2007-06-13 Kanta Naito

Federated Learning (FL) enables collaborative training on decentralized data. Differential privacy (DP) is crucial for FL, but current private methods often rely on unrealistic assumptions (e.g., bounded gradients or heterogeneity),…

Machine Learning · Computer Science 2025-12-29 Egor Shulgin , Grigory Malinovsky , Sarit Khirirat , Peter Richtárik

We study differentially private stochastic convex optimization (DP-SCO) under user-level privacy, where each user may hold multiple data items. Existing work for user-level DP-SCO either requires super-polynomial runtime [Ghazi et al.…

Machine Learning · Computer Science 2023-11-08 Hilal Asi , Daogao Liu

We lay theoretical foundations for new database release mechanisms that allow third-parties to construct consistent estimators of population statistics, while ensuring that the privacy of each individual contributing to the database is…

Machine Learning · Statistics 2018-06-01 Matej Balog , Ilya Tolstikhin , Bernhard Schölkopf

The task of statistical inference, which includes the building of confidence intervals and tests for parameters and effects of interest to a researcher, is still an open area of investigation in a differentially private (DP) setting.…

Methodology · Statistics 2025-07-17 Ogonnaya Michael Romanus , Younes Boulaguiem , Roberto Molinari
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