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Differential privacy (DP) is a rigorous notion of data privacy, used for private statistics. The canonical algorithm for differentially private mean estimation is to first clip the samples to a bounded range and then add noise to their…

Statistics Theory · Mathematics 2024-10-10 Gautam Kamath , Argyris Mouzakis , Matthew Regehr , Vikrant Singhal , Thomas Steinke , Jonathan Ullman

Differential privacy provides the first theoretical foundation with provable privacy guarantee against adversaries with arbitrary prior knowledge. The main idea to achieve differential privacy is to inject random noise into statistical…

Data Structures and Algorithms · Computer Science 2011-11-01 Yang D. Li , Zhenjie Zhang , Marianne Winslett , Yin Yang

Composition is one of the most important properties of differential privacy (DP), as it allows algorithm designers to build complex private algorithms from DP primitives. We consider precise composition bounds of the overall privacy loss…

Cryptography and Security · Computer Science 2020-06-26 Jinshuo Dong , David Durfee , Ryan Rogers

Differentially private (DP) transfer learning, i.e., fine-tuning a pretrained model on private data, is the current state-of-the-art approach for training large models under privacy constraints. We focus on two key hyperparameters in this…

Machine Learning · Computer Science 2026-04-20 Aki Rehn , Linzh Zhao , Mikko A. Heikkilä , Antti Honkela

Differential privacy is a framework for privately releasing summaries of a database. Previous work has focused mainly on methods for which the output is a finite dimensional vector, or an element of some discrete set. We develop methods for…

Machine Learning · Statistics 2012-03-13 Rob Hall , Alessandro Rinaldo , Larry Wasserman

We study the problem of computing the privacy parameters for DP machine learning when using privacy amplification via random batching and noise correlated across rounds via a correlation matrix $\textbf{C}$ (i.e., the matrix mechanism).…

Cryptography and Security · Computer Science 2025-03-24 Christopher A. Choquette-Choo , Arun Ganesh , Saminul Haque , Thomas Steinke , Abhradeep Thakurta

Privacy-preserving analytics is designed to protect valuable assets. A common service provision involves the input data from the client and the model on the analyst's side. The importance of the privacy preservation is fuelled by legal…

Cryptography and Security · Computer Science 2024-04-16 Martin Kodys , Zhongmin Dai , Vrizlynn L. L. Thing

We study the task of $(\epsilon, \delta)$-differentially private online convex optimization (OCO). In the online setting, the release of each distinct decision or iterate carries with it the potential for privacy loss. This problem has a…

Cryptography and Security · Computer Science 2023-12-21 Naman Agarwal , Satyen Kale , Karan Singh , Abhradeep Guha Thakurta

Linear regression is an important tool across many fields that work with sensitive human-sourced data. Significant prior work has focused on producing differentially private point estimates, which provide a privacy guarantee to individuals…

Machine Learning · Computer Science 2019-10-30 Garrett Bernstein , Daniel Sheldon

Deep neural networks with their large number of parameters are highly flexible learning systems. The high flexibility in such networks brings with some serious problems such as overfitting, and regularization is used to address this…

Machine Learning · Statistics 2017-12-20 Beyza Ermis , Ali Taylan Cemgil

We derive the optimal $\epsilon$-differentially private mechanism for a general two-dimensional real-valued (histogram-like) query function under a utility-maximization (or cost-minimization) framework for the $\ell^1$ cost function. We…

Cryptography and Security · Computer Science 2013-12-04 Quan Geng , Pramod Viswanath

A common problem in private data analysis is the partition selection problem, where each user holds a set of partitions (e.g. keys in a GROUP BY operation) from a possibly unbounded set. The challenge here is in maximizing the set of…

Cryptography and Security · Computer Science 2026-03-12 Charlie Harrison , Pasin Manurangsi

Privacy-preserving data analysis is a rising challenge in contemporary statistics, as the privacy guarantees of statistical methods are often achieved at the expense of accuracy. In this paper, we investigate the tradeoff between…

Machine Learning · Statistics 2020-11-11 T. Tony Cai , Yichen Wang , Linjun Zhang

Machine learning algorithms based on deep neural networks have achieved remarkable results and are being extensively used in different domains. However, the machine learning algorithms requires access to raw data which is often privacy…

Cryptography and Security · Computer Science 2017-11-15 Ehsan Hesamifard , Hassan Takabi , Mehdi Ghasemi

For databases consisting of many text documents, one of the most fundamental data analysis tasks is counting (i) how often a pattern appears as a substring in the database (substring counting) and (ii) how many documents in the collection…

Data Structures and Algorithms · Computer Science 2026-03-27 Giulia Bernardini , Philip Bille , Inge Li Gørtz , Teresa Anna Steiner

Differential privacy provides a rigorous framework to quantify data privacy, and has received considerable interest recently. A randomized mechanism satisfying $(\epsilon, \delta)$-differential privacy (DP) roughly means that, except with a…

Cryptography and Security · Computer Science 2019-12-10 Jun Zhao , Teng Wang , Tao Bai , Kwok-Yan Lam , Zhiying Xu , Shuyu Shi , Xuebin Ren , Xinyu Yang , Yang Liu , Han Yu

Representing a sparse histogram, or more generally a sparse vector, is a fundamental task in differential privacy. An ideal solution would use space close to information-theoretical lower bounds, have an error distribution that depends…

Cryptography and Security · Computer Science 2021-09-28 Martin Aumüller , Christian Janos Lebeda , Rasmus Pagh

Data privacy is an important concern in learning, when datasets contain sensitive information about individuals. This paper considers consensus-based distributed optimization under data privacy constraints. Consensus-based optimization…

Machine Learning · Computer Science 2019-03-20 Mehrdad Showkatbakhsh , Can Karakus , Suhas Diggavi

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

We give the first polynomial time and sample $(\epsilon, \delta)$-differentially private (DP) algorithm to estimate the mean, covariance and higher moments in the presence of a constant fraction of adversarial outliers. Our algorithm…

Machine Learning · Statistics 2021-12-08 Pravesh K. Kothari , Pasin Manurangsi , Ameya Velingker
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