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Differentially private (DP) machine learning algorithms incur many sources of randomness, such as random initialization, random batch subsampling, and shuffling. However, such randomness is difficult to take into account when proving…

Machine Learning · Statistics 2023-11-02 Chendi Wang , Buxin Su , Jiayuan Ye , Reza Shokri , Weijie J. Su

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

Computing the principal component (PC) of the adjacency matrix of an undirected graph has several applications ranging from identifying key vertices for influence maximization and controlling diffusion processes, to discovering densely…

Data Structures and Algorithms · Computer Science 2026-03-06 Alireza Khayatian , Anil Vullikanti , Aritra Konar

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

Data Structures and Algorithms · Computer Science 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

The central question studied in this paper is Renyi Differential Privacy (RDP) guarantees for general discrete local mechanisms in the shuffle privacy model. In the shuffle model, each of the $n$ clients randomizes its response using a…

Cryptography and Security · Computer Science 2021-05-12 Antonious M. Girgis , Deepesh Data , Suhas Diggavi , Ananda Theertha Suresh , Peter Kairouz

When collecting information, local differential privacy (LDP) alleviates privacy concerns of users because their private information is randomized before being sent it to the central aggregator. LDP imposes large amount of noise as each…

Cryptography and Security · Computer Science 2020-08-04 Tianhao Wang , Bolin Ding , Min Xu , Zhicong Huang , Cheng Hong , Jingren Zhou , Ninghui Li , Somesh Jha

We study Gaussian mechanism in the shuffle model of differential privacy (DP). Particularly, we characterize the mechanism's R\'enyi differential privacy (RDP), showing that it is of the form: $$ \epsilon(\lambda) \leq…

Cryptography and Security · Computer Science 2023-07-05 Seng Pei Liew , Tsubasa Takahashi

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

Sharing and working on sensitive data in distributed settings from healthcare to finance is a major challenge due to security and privacy concerns. Secure multiparty computation (SMC) is a viable panacea for this, allowing distributed…

Cryptography and Security · Computer Science 2017-07-07 Abbas Acar , Z. Berkay Celik , Hidayet Aksu , A. Selcuk Uluagac , Patrick McDaniel

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

Recent work of Erlingsson, Feldman, Mironov, Raghunathan, Talwar, and Thakurta [EFMRTT19] demonstrates that random shuffling amplifies differential privacy guarantees of locally randomized data. Such amplification implies substantially…

Machine Learning · Computer Science 2021-09-09 Vitaly Feldman , Audra McMillan , Kunal Talwar

Differentially private (DP) mechanisms protect individual-level information by introducing randomness into the statistical analysis procedure. Despite the availability of numerous DP tools, there remains a lack of general techniques for…

Machine Learning · Statistics 2025-09-25 Zhanyu Wang , Guang Cheng , Jordan Awan

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

When working with joint collections of confidential data from multiple sources, e.g., in cloud-based multi-party computation scenarios, the ownership relation between data providers and their inputs itself is confidential information.…

Cryptography and Security · Computer Science 2020-02-14 Kilian Becher , Thorsten Strufe

We consider the problem of differentially private (DP) convex empirical risk minimization (ERM). While the standard DP-SGD algorithm is theoretically well-established, practical implementations often rely on shuffled gradient methods that…

Machine Learning · Computer Science 2026-02-25 Shuli Jiang , Pranay Sharma , Zhiwei Steven Wu , Gauri Joshi

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

We consider a problem where mutually untrusting curators possess portions of a vertically partitioned database containing information about a set of individuals. The goal is to enable an authorized party to obtain aggregate (statistical)…

Cryptography and Security · Computer Science 2013-04-18 Bing-Rong Lin , Ye Wang , Shantanu Rane

Differentially Private Stochastic Gradient Descent (DP-SGD) forms a fundamental building block in many applications for learning over sensitive data. Two standard approaches, privacy amplification by subsampling, and privacy amplification…

Machine Learning · Computer Science 2020-07-31 Borja Balle , Peter Kairouz , H. Brendan McMahan , Om Thakkar , Abhradeep Thakurta

Differential Privacy (DP) has become a gold standard in privacy-preserving data analysis. While it provides one of the most rigorous notions of privacy, there are many settings where its applicability is limited. Our main contribution is in…

Cryptography and Security · Computer Science 2021-10-20 Aman Bansal , Rahul Chunduru , Deepesh Data , Manoj Prabhakaran

Designing privacy-preserving machine learning algorithms has received great attention in recent years, especially in the setting when the data contains sensitive information. Differential privacy (DP) is a widely used mechanism for data…

Machine Learning · Computer Science 2025-09-11 Chunyang Liao , Deanna Needell , Hayden Schaeffer , Alexander Xue