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We present novel, computationally efficient, and differentially private algorithms for two fundamental high-dimensional learning problems: learning a multivariate Gaussian and learning a product distribution over the Boolean hypercube in…

Data Structures and Algorithms · Computer Science 2019-05-31 Gautam Kamath , Jerry Li , Vikrant Singhal , Jonathan Ullman

Practical and pervasive needs for robustness and privacy in algorithms have inspired the design of online adversarial and differentially private learning algorithms. The primary quantity that characterizes learnability in these settings is…

Machine Learning · Computer Science 2020-06-19 Nika Haghtalab , Tim Roughgarden , Abhishek Shetty

We study non-parametric density estimation for densities in Lipschitz and Sobolev spaces, and under central privacy. In particular, we investigate regimes where the privacy budget is not supposed to be constant. We consider the classical…

Artificial Intelligence · Computer Science 2024-09-19 Clément Lalanne , Aurélien Garivier , Rémi Gribonval

With the growing volume of data in society, the need for privacy protection in data analysis also rises. In particular, private selection tasks, wherein the most important information is retrieved under differential privacy are emphasized…

Data Structures and Algorithms · Computer Science 2024-10-15 Akito Yamamoto , Tetsuo Shibuya

Local differential privacy has become the gold-standard of privacy literature for gathering or releasing sensitive individual data points in a privacy-preserving manner. However, locally differential data can twist the probability density…

Statistics Theory · Mathematics 2020-11-10 Farhad Farokhi

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

Statistics Theory · Mathematics 2019-06-10 Mark Bun , Thomas Steinke

This paper proposes a locally differentially private federated learning algorithm for strongly convex but possibly nonsmooth problems that protects the gradients of each worker against an honest but curious server. The proposed algorithm…

Machine Learning · Computer Science 2023-08-03 Jiaojiao Zhang , Dominik Fay , Mikael Johansson

We consider non-parametric density estimation in the framework of local approximate differential privacy. In contrast to centralized privacy scenarios with a trusted curator, in the local setup anonymization must be guaranteed already on…

Statistics Theory · Mathematics 2019-07-16 Martin Kroll

We study private prediction where differential privacy is achieved by adding noise to the outputs of a non-private model. Existing methods rely on noise proportional to the global sensitivity of the model, often resulting in sub-optimal…

A private learner is trained on a sample of labeled points and generates a hypothesis that can be used for predicting the labels of newly sampled points while protecting the privacy of the training set [Kasiviswannathan et al., FOCS 2008].…

Machine Learning · Computer Science 2023-05-17 Moni Naor , Kobbi Nissim , Uri Stemmer , Chao Yan

Recent years, local differential privacy (LDP) has been adopted by many web service providers like Google \cite{erlingsson2014rappor}, Apple \cite{apple2017privacy} and Microsoft \cite{bolin2017telemetry} to collect and analyse users' data…

Information Theory · Computer Science 2022-03-15 Zhongzheng Xiong , Jialin Sun , Xiaojun Mao , Jian Wang , Shan Ying , Zengfeng Huang

We study differentially private mean estimation in a high-dimensional setting. Existing differential privacy techniques applied to large dimensions lead to computationally intractable problems or estimators with excessive privacy loss.…

Machine Learning · Computer Science 2020-07-23 Aditya Dhar , Jason Huang

We present new differentially private algorithms for learning a large-margin halfspace. In contrast to previous algorithms, which are based on either differentially private simulations of the statistical query model or on private convex…

Machine Learning · Computer Science 2020-02-25 Huy L. Nguyen , Jonathan Ullman , Lydia Zakynthinou

Sampling from discrete distributions is a ubiquitous task in machine learning, recently revisited by the emergence of discrete diffusion models. While Langevin algorithms constitute the state of the art for continuous spaces, discrete…

Statistics Theory · Mathematics 2026-02-18 Armand Gissler , Saeed Saremi , Francis Bach

The Shapley value has been proposed as a solution to many applications in machine learning, including for equitable valuation of data. Shapley values are computationally expensive and involve the entire dataset. The query for a point's…

Machine Learning · Computer Science 2022-06-02 Lauren Watson , Rayna Andreeva , Hao-Tsung Yang , Rik Sarkar

Differentially private stochastic gradient descent privatizes model training by injecting noise into each iteration, where the noise magnitude increases with the number of model parameters. Recent works suggest that we can reduce the noise…

Machine Learning · Statistics 2025-07-25 Xin Gu , Gautam Kamath , Zhiwei Steven Wu

The privacy of data is a major challenge in machine learning as a trained model may expose sensitive information of the enclosed dataset. Besides, the limited computation capability and capacity of edge devices have made cloud-hosted…

Machine Learning · Computer Science 2020-05-15 Behnam Khaleghi , Mohsen Imani , Tajana Rosing

Ensuring differential privacy of models learned from sensitive user data is an important goal that has been studied extensively in recent years. It is now known that for some basic learning problems, especially those involving…

Machine Learning · Computer Science 2018-05-10 Cynthia Dwork , Vitaly Feldman

With the increasing collection of users' data, protecting individual privacy has gained more interest. Differential Privacy is a strong concept of protecting individuals. Naive Bayes is one of the popular machine learning algorithm, used as…

Cryptography and Security · Computer Science 2021-07-20 Farzad Zafarani , Chris Clifton

Non-interactive Local Differential Privacy (LDP) requires data analysts to collect data from users through noisy channel at once. In this paper, we extend the frontiers of Non-interactive LDP learning and estimation from several aspects.…

Machine Learning · Computer Science 2017-06-13 Kai Zheng , Wenlong Mou , Liwei Wang
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