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We consider the problem of estimating sparse discrete distributions under local differential privacy (LDP) and communication constraints. We characterize the sample complexity for sparse estimation under LDP constraints up to a constant…

Information Theory · Computer Science 2021-02-22 Jayadev Acharya , Peter Kairouz , Yuhan Liu , Ziteng Sun

We introduce a differentially private (DP) algorithm called reveal-or-obscure (ROO) to generate a single representative sample from a dataset of $n$ observations drawn i.i.d. from an unknown discrete distribution $P$. Unlike methods that…

Information Theory · Computer Science 2026-02-18 Naima Tasnim , Atefeh Gilani , Lalitha Sankar , Oliver Kosut

Sparse histogram methods can be useful for returning differentially private counts of items in large or infinite histograms, large group-by queries, and more generally, releasing a set of statistics with sufficient item counts. We consider…

Cryptography and Security · Computer Science 2022-02-03 Brian Karrer , Daniel Kifer , Arjun Wilkins , Danfeng Zhang

Assessment of disclosure risk is of paramount importance in the research and applications of data privacy techniques. The concept of differential privacy (DP) formalizes privacy in probabilistic terms and provides a robust concept for…

Statistics Theory · Mathematics 2020-07-01 Fang Liu

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

Machine Learning · Statistics 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

We use gradient sparsification to reduce the adverse effect of differential privacy noise on performance of private machine learning models. To this aim, we employ compressed sensing and additive Laplace noise to evaluate…

Machine Learning · Computer Science 2020-12-03 Farhad Farokhi

Gaussian differential privacy (GDP) is a single-parameter family of privacy notions that provides coherent guarantees to avoid the exposure of sensitive individual information. Despite the extra interpretability and tighter bounds under…

Cryptography and Security · Computer Science 2022-10-18 Yi Liu , Ke Sun , Linglong Kong , Bei Jiang

The Laplace mechanism and the Gaussian mechanism are primary mechanisms in differential privacy, widely applicable to many scenarios involving numerical data. However, due to the infinite-range random variables they generate, the Laplace…

Cryptography and Security · Computer Science 2023-09-25 Jie Fu , Zhiyu Sun , Haitao Liu , Zhili Chen

We develop $(\epsilon,\delta)$-differentially private projection-depth-based medians using the propose-test-release (PTR) and exponential mechanisms. Under general conditions on the input parameters and the population measure, (e.g. we do…

Statistics Theory · Mathematics 2024-07-24 Kelly Ramsay , Dylan Spicker

Differential privacy (DP) is an essential technique for privacy-preserving. It was found that a large model trained for privacy preserving performs worse than a smaller model (e.g. ResNet50 performs worse than ResNet18). To better…

Machine Learning · Computer Science 2021-11-30 Yinchen Shen , Zhiguo Wang , Ruoyu Sun , Xiaojing Shen

We study how to communicate findings of Bayesian inference to third parties, while preserving the strong guarantee of differential privacy. Our main contributions are four different algorithms for private Bayesian inference on…

Artificial Intelligence · Computer Science 2015-12-23 Zuhe Zhang , Benjamin Rubinstein , Christos Dimitrakakis

In this paper, we resolve many of the key algorithmic questions regarding robustness, memory efficiency, and differential privacy of tensor decomposition. We propose simple variants of the tensor power method which enjoy these strong…

Machine Learning · Statistics 2016-12-16 Yining Wang , Animashree Anandkumar

Building the conditional probability distribution of wind power forecast errors benefits both wind farms (WFs) and independent system operators (ISOs). Establishing the joint probability distribution of wind power and the corresponding…

Machine Learning · Computer Science 2020-03-03 Mengshuo Jia , Shaowei Huang , Zhiwen Wang , Chen Shen

While power systems research relies on the availability of real-world network datasets, data owners (e.g., system operators) are hesitant to share data due to security and privacy risks. To control these risks, we develop privacy-preserving…

Cryptography and Security · Computer Science 2023-03-21 Vladimir Dvorkin , Audun Botterud

Techniques to deliver privacy-preserving synthetic datasets take a sensitive dataset as input and produce a similar dataset as output while maintaining differential privacy. These approaches have the potential to improve data sharing and…

Databases · Computer Science 2018-08-24 Luke Rodriguez , Bill Howe

Differential privacy is a widely adopted framework designed to safeguard the sensitive information of data providers within a data set. It is based on the application of controlled noise at the interface between the server that stores and…

Cryptography and Security · Computer Science 2024-05-06 Rūta Binkytė , Carlos Pinzón , Szilvia Lestyán , Kangsoo Jung , Héber H. Arcolezi , Catuscia Palamidessi

The ''Propose-Test-Release'' (PTR) framework is a classic recipe for designing differentially private (DP) algorithms that are data-adaptive, i.e. those that add less noise when the input dataset is nice. We extend PTR to a more general…

Machine Learning · Computer Science 2023-01-03 Rachel Redberg , Yuqing Zhu , Yu-Xiang Wang

We study the problem of fitting the high dimensional sparse linear regression model with sub-Gaussian covariates and responses, where the data are provided by strategic or self-interested agents (individuals) who prioritize their privacy of…

Computer Science and Game Theory · Computer Science 2024-10-18 Liyang Zhu , Amina Manseur , Meng Ding , Jinyan Liu , Jinhui Xu , Di Wang

Differentially Private Stochastic Gradient Descent (DPSGD) is widely used to protect sensitive data during the training of machine learning models, but its privacy guarantee often comes at a large cost of model performance due to the lack…

Machine Learning · Computer Science 2026-01-16 Hao Liang , Wanrong Zhang , Xinlei He , Kaishun Wu , Hong Xing

In this work, we study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries, and has been a focus of a long line of…

Data Structures and Algorithms · Computer Science 2013-08-05 Aleksandar Nikolov , Kunal Talwar , Li Zhang
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