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Differential privacy (DP) is a mathematical framework that guarantees individual privacy; however, systematic evaluation of its impact on statistical utility in survival analyses remains limited. In this study, we systematically evaluated…

Cryptography and Security · Computer Science 2026-04-24 Keita Fukuyama , Yukiko Mori , Tomohiro Kuroda , Hiroaki Kikuchi

Dependent data underlies many statistical studies in the social and health sciences, which often involve sensitive or private information. Differential privacy (DP) and in particular \textit{user-level} DP provide a natural formalization of…

Machine Learning · Statistics 2025-11-26 Valentin Roth , Marco Avella-Medina

Differential privacy (DP) is a popular mechanism for training machine learning models with bounded leakage about the presence of specific points in the training data. The cost of differential privacy is a reduction in the model's accuracy.…

Machine Learning · Computer Science 2019-10-29 Eugene Bagdasaryan , Vitaly Shmatikov

Differential privacy (DP) allows the quantification of privacy loss when the data of individuals is subjected to algorithmic processing such as machine learning, as well as the provision of objective privacy guarantees. However, while…

Cryptography and Security · Computer Science 2021-11-30 Tamara T. Mueller , Alexander Ziller , Dmitrii Usynin , Moritz Knolle , Friederike Jungmann , Daniel Rueckert , Georgios Kaissis

Differential privacy (DP) is a widely used notion for reasoning about privacy when publishing aggregate data. In this paper, we observe that certain DP mechanisms are amenable to a posteriori privacy analysis that exploits the fact that…

Cryptography and Security · Computer Science 2023-06-21 Valentin Hartmann , Vincent Bindschaedler , Alexander Bentkamp , Robert West

We revisit the problem of linear regression under a differential privacy constraint. By consolidating existing pieces in the literature, we clarify the correct dependence of the feature, label and coefficient domains in the optimization…

Machine Learning · Statistics 2018-07-10 Yu-Xiang Wang

We study differentially private (DP) estimation of a rank-$r$ matrix $M \in \mathbb{R}^{d_1\times d_2}$ under the trace regression model with Gaussian measurement matrices. Theoretically, the sensitivity of non-private spectral…

Machine Learning · Statistics 2024-03-26 Mengyue Zha

Differential Privacy (DP) is a probabilistic framework that protects privacy while preserving data utility. To protect the privacy of the individuals in the dataset, DP requires adding a precise amount of noise to a statistic of interest;…

Computation · Statistics 2025-05-05 Yu-Wei Chen , Pranav Sanghi , Jordan Awan

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

Objective functions based on Hellinger distance yield robust and efficient estimators of model parameters. Motivated by privacy and regulatory requirements encountered in contemporary applications, we derive in this paper \emph{private…

Statistics Theory · Mathematics 2026-04-22 Fengnan Deng , Anand N. Vidyashankar

Differentially private stochastic gradient descent (DP-SGD) is the workhorse algorithm for recent advances in private deep learning. It provides a single privacy guarantee to all datapoints in the dataset. We propose output-specific…

Machine Learning · Computer Science 2024-07-26 Da Yu , Gautam Kamath , Janardhan Kulkarni , Tie-Yan Liu , Jian Yin , Huishuai Zhang

We initiate the study of differentially private (DP) estimation with access to a small amount of public data. For private estimation of d-dimensional Gaussians, we assume that the public data comes from a Gaussian that may have vanishing…

Machine Learning · Computer Science 2023-04-07 Alex Bie , Gautam Kamath , Vikrant Singhal

Many algorithms have been developed to estimate probability distributions subject to differential privacy (DP): such an algorithm takes as input independent samples from a distribution and estimates the density function in a way that is…

Cryptography and Security · Computer Science 2024-12-17 Albert Cheu , Debanuj Nayak

There has been increasing demand for establishing privacy-preserving methodologies for modern statistics and machine learning. Differential privacy, a mathematical notion from computer science, is a rising tool offering robust privacy…

Methodology · Statistics 2024-05-09 Shurong Lin , Elliot Paquette , Eric D. Kolaczyk

In this work, we give efficient algorithms for privately estimating a Gaussian distribution in both pure and approximate differential privacy (DP) models with optimal dependence on the dimension in the sample complexity. In the pure DP…

Data Structures and Algorithms · Computer Science 2023-06-02 Daniel Alabi , Pravesh K. Kothari , Pranay Tankala , Prayaag Venkat , Fred Zhang

Confidence intervals are a fundamental tool for quantifying the uncertainty of parameters of interest. With the increase of data privacy awareness, developing a private version of confidence intervals has gained growing attention from both…

Methodology · Statistics 2024-04-12 Shurong Lin , Mark Bun , Marco Gaboardi , Eric D. Kolaczyk , Adam Smith

In this paper, we present a notion of differential privacy (DP) for data that comes from different classes. Here, the class-membership is private information that needs to be protected. The proposed method is an output perturbation…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Raksha Ramakrishna , Anna Scaglione , Tong Wu , Nikhil Ravi , Sean Peisert

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

The objective of differential privacy (DP) is to protect privacy by producing an output distribution that is indistinguishable between any two neighboring databases. However, traditional differentially private mechanisms tend to produce…

Cryptography and Security · Computer Science 2023-11-07 Kai Zhang , Yanjun Zhang , Ruoxi Sun , Pei-Wei Tsai , Muneeb Ul Hassan , Xin Yuan , Minhui Xue , Jinjun Chen

Differential privacy (DP) is the state-of-the-art framework for guaranteeing privacy for individuals when releasing aggregated statistics or building statistical/machine learning models from data. We develop the open-source R package DPpack…

Machine Learning · Statistics 2023-09-21 Spencer Giddens , Fang Liu