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We consider the problem of mean estimation under user-level local differential privacy, where $n$ users are contributing through their local pool of data samples. Previous work assume that the number of data samples is the same across…

Methodology · Statistics 2024-10-15 Corentin Pla , Hugo Richard , Maxime Vono

We propose a general optimization-based framework for computing differentially private M-estimators and a new method for constructing differentially private confidence regions. Firstly, we show that robust statistics can be used in…

Statistics Theory · Mathematics 2023-12-14 Marco Avella-Medina , Casey Bradshaw , Po-Ling Loh

The Laplace mechanism is the workhorse of differential privacy, applied to many instances where numerical data is processed. However, the Laplace mechanism can return semantically impossible values, such as negative counts, due to its…

Cryptography and Security · Computer Science 2018-08-31 Naoise Holohan , Spiros Antonatos , Stefano Braghin , Pól Mac Aonghusa

Many privacy mechanisms reveal high-level information about a data distribution through noisy measurements. It is common to use this information to estimate the answers to new queries. In this work, we provide an approach to solve this…

Machine Learning · Computer Science 2019-01-29 Ryan McKenna , Daniel Sheldon , Gerome Miklau

Best Arm Identification (BAI) problems are progressively used for data-sensitive applications, such as designing adaptive clinical trials, tuning hyper-parameters, and conducting user studies. Motivated by the data privacy concerns invoked…

Machine Learning · Statistics 2026-04-09 Achraf Azize , Marc Jourdan , Aymen Al Marjani , Debabrota Basu

Differential privacy (DP) is a prominent method for protecting information about individuals during data analysis. Training neural networks with differentially private stochastic gradient descent (DPSGD) influences the model's learning…

Machine Learning · Computer Science 2025-10-10 Lea Demelius , Dominik Kowald , Simone Kopeinik , Roman Kern , Andreas Trügler

Differentially Private Stochastic Gradient Descent (DP-SGD) is a key method for applying privacy in the training of deep learning models. It applies isotropic Gaussian noise to gradients during training, which can perturb these gradients in…

Machine Learning · Computer Science 2023-11-28 Pedro Faustini , Natasha Fernandes , Shakila Tonni , Annabelle McIver , Mark Dras

We consider the problem of privately estimating a parameter $\mathbb{E}[h(X_1,\dots,X_k)]$, where $X_1$, $X_2$, $\dots$, $X_k$ are i.i.d. data from some distribution and $h$ is a permutation-invariant function. Without privacy constraints,…

Statistics Theory · Mathematics 2024-07-09 Kamalika Chaudhuri , Po-Ling Loh , Shourya Pandey , Purnamrita Sarkar

Providing meaningful privacy to users of location based services is particularly challenging when multiple locations are revealed in a short period of time. This is primarily due to the tremendous degree of dependence that can be…

Machine Learning · Computer Science 2019-12-10 Casey Meehan , Kamalika Chaudhuri

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

This work identifies the first privacy-aware stratified sampling scheme that minimizes the variance for general private mean estimation under the Laplace, Discrete Laplace (DLap) and Truncated-Uniform-Laplace (TuLap) mechanisms within the…

Machine Learning · Statistics 2025-01-31 Yu-Wei Chen , Raghu Pasupathy , Jordan A. Awan

Differential privacy has seen remarkable success as a rigorous and practical formalization of data privacy in the past decade. This privacy definition and its divergence based relaxations, however, have several acknowledged weaknesses,…

Machine Learning · Computer Science 2019-06-03 Jinshuo Dong , Aaron Roth , Weijie J. Su

In recent years, local differential privacy (LDP) has emerged as a technique of choice for privacy-preserving data collection in several scenarios when the aggregator is not trustworthy. LDP provides client-side privacy by adding noise at…

Machine Learning · Statistics 2021-10-28 Tejas Kulkarni , Joonas Jälkö , Samuel Kaski , Antti Honkela

We present \textit{universal} estimators for the statistical mean, variance, and scale (in particular, the interquartile range) under pure differential privacy. These estimators are universal in the sense that they work on an arbitrary,…

Cryptography and Security · Computer Science 2023-04-04 Wei Dong , Ke Yi

Stochastic optimization is a pivotal enabler in modern machine learning, producing effective models for various tasks. However, several existing works have shown that model parameters and gradient information are susceptible to privacy…

Machine Learning · Computer Science 2025-09-15 Zhanhong Jiang , Md Zahid Hasan , Nastaran Saadati , Aditya Balu , Chao Liu , Soumik Sarkar

This paper studies how to approximate pufferfish privacy when the adversary's prior belief of the published data is Gaussian distributed. Using Monge's optimal transport plan, we show that $(\epsilon, \delta)$-pufferfish privacy is attained…

Information Theory · Computer Science 2024-05-08 Ni Ding

Economics and social science research often require analyzing datasets of sensitive personal information at fine granularity, with models fit to small subsets of the data. Unfortunately, such fine-grained analysis can easily reveal…

Machine Learning · Computer Science 2020-07-13 Daniel Alabi , Audra McMillan , Jayshree Sarathy , Adam Smith , Salil Vadhan

We consider a platform's problem of collecting data from privacy sensitive users to estimate an underlying parameter of interest. We formulate this question as a Bayesian-optimal mechanism design problem, in which an individual can share…

Computer Science and Game Theory · Computer Science 2023-09-07 Alireza Fallah , Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

Models need to be trained with privacy-preserving learning algorithms to prevent leakage of possibly sensitive information contained in their training data. However, canonical algorithms like differentially private stochastic gradient…

Machine Learning · Computer Science 2022-10-06 Yannis Cattan , Christopher A. Choquette-Choo , Nicolas Papernot , Abhradeep Thakurta

The Gaussian Mechanism (GM), which consists in adding Gaussian noise to a vector-valued query before releasing it, is a standard privacy protection mechanism. In particular, given that the query respects some L2 sensitivity property (the L2…

Machine Learning · Computer Science 2024-03-20 Hadrien Hendrikx , Paul Mangold , Aurélien Bellet