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The widespread acceptance of differential privacy has led to the publication of many sophisticated algorithms for protecting privacy. However, due to the subtle nature of this privacy definition, many such algorithms have bugs that make…

Cryptography and Security · Computer Science 2019-09-09 Zeyu Ding , Yuxin Wang , Guanhong Wang , Danfeng Zhang , Daniel Kifer

Differential privacy has seen remarkable success as a rigorous and practical formalization of data privacy in the past decade. This privacy definition and its divergence based relaxations, however, have several acknowledged weaknesses,…

Machine Learning · Computer Science 2019-06-03 Jinshuo Dong , Aaron Roth , Weijie J. Su

Learning a privacy-preserving model from sensitive data which are distributed across multiple devices is an increasingly important problem. The problem is often formulated in the federated learning context, with the aim of learning a single…

Machine Learning · Computer Science 2023-04-20 Mikko A. Heikkilä , Matthew Ashman , Siddharth Swaroop , Richard E. Turner , Antti Honkela

In this paper we explain how to use the Fast Fourier Transform (FFT) to solve partial differential equations (PDEs). We start by defining appropriate discrete domains in coordinate and frequency domains. Then describe the main limitation of…

Numerical Analysis · Mathematics 2025-07-31 Daniela Rodriguez-Lara , Ivan Alvarez-Rios , Francisco S. Guzman

Federated Learning (FL) is a paradigm for large-scale distributed learning which faces two key challenges: (i) efficient training from highly heterogeneous user data, and (ii) protecting the privacy of participating users. In this work, we…

Machine Learning · Computer Science 2023-01-06 Maxence Noble , Aurélien Bellet , Aymeric Dieuleveut

When multiple hypotheses are tested, interest is often in ensuring that the proportion of false discoveries (FDP) is small with high confidence. In this paper, confidence upper bounds for the FDP are constructed, which are simultaneous over…

Methodology · Statistics 2020-01-07 Jesse Hemerik , Aldo Solari , Jelle J. Goeman

Differential privacy is a mathematical framework for privacy-preserving data analysis. Changing the hyperparameters of a differentially private algorithm allows one to trade off privacy and utility in a principled way. Quantifying this…

Machine Learning · Statistics 2020-07-23 Brendan Avent , Javier Gonzalez , Tom Diethe , Andrei Paleyes , Borja Balle

Formal disclosure avoidance techniques are necessary to ensure that published data can not be used to identify information about individuals. The addition of statistical noise to unpublished data can be implemented to achieve differential…

Methodology · Statistics 2024-06-10 Ryan Janicki , Scott H. Holan , Kyle M. Irimata , James Livsey , Andrew Raim

Differential privacy is a promising formal approach to data privacy, which provides a quantitative bound on the privacy cost of an algorithm that operates on sensitive information. Several tools have been developed for the formal…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Noémie Fong , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Privacy preserving data analysis (PPDA) has received increasing attention due to a great variety of applications. Local differential privacy (LDP), as an emerging standard that is suitable for PPDA, has been widely deployed into various…

Cryptography and Security · Computer Science 2021-12-10 Fei Ma , Renbo Zhu , Ping Wang

This paper presents a novel boundary-optimized fast Fourier extension algorithm for efficient approximation of non-periodic functions. The proposed methodology constructs periodic extensions through strategic utilization of boundary…

Numerical Analysis · Mathematics 2025-08-27 Z. Y. Zhao , Y. F Wang , A. G. Yagola

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

Differential privacy is widely considered the formal privacy for privacy-preserving data analysis due to its robust and rigorous guarantees, with increasingly broad adoption in public services, academia, and industry. Despite originating in…

Statistics Theory · Mathematics 2024-12-05 Weijie J. Su

Privacy protection and uncertainty quantification are increasingly important in data-driven decision making. Conformal prediction provides finite-sample marginal coverage, but existing private approaches often rely on data splitting,…

Machine Learning · Statistics 2026-03-10 Young Hyun Cho , Jordan Awan

Federated knowledge discovery and data mining are challenged to assess the trustworthiness of data originating from autonomous sources while protecting confidentiality and privacy. Truth-finding algorithms help corroborate data from…

Cryptography and Security · Computer Science 2023-05-25 Angelo Saadeh , Pierre Senellart , Stéphane Bressan

Differential privacy is known to protect against threats to validity incurred due to adaptive, or exploratory, data analysis -- even when the analyst adversarially searches for a statistical estimate that diverges from the true value of the…

Cryptography and Security · Computer Science 2022-07-25 Elbert Du , Cynthia Dwork

Machine learning is increasingly becoming a powerful tool to make decisions in a wide variety of applications, such as medical diagnosis and autonomous driving. Privacy concerns related to the training data and unfair behaviors of some…

Cryptography and Security · Computer Science 2020-03-16 Jiahao Ding , Xinyue Zhang , Xiaohuan Li , Junyi Wang , Rong Yu , Miao Pan

Federated learning (FL) enables collaborative model training through model parameter exchanges instead of raw data. To avoid potential inference attacks from exchanged parameters, differential privacy (DP) offers rigorous guarantee against…

Cryptography and Security · Computer Science 2025-01-14 Shu Hong , Xiaojun Lin , Lingjie Duan

We present efficient and practical algorithms for a large, distributed system of processors to achieve reliable computations in a secure manner. Specifically, we address the problem of computing a general function of several private inputs…

Cryptography and Security · Computer Science 2021-01-29 Donald Rozinak Beaver

Pufferfish privacy is a flexible generalization of differential privacy that allows to model arbitrary secrets and adversary's prior knowledge about the data. Unfortunately, designing general and tractable Pufferfish mechanisms that do not…

Cryptography and Security · Computer Science 2024-06-11 Clément Pierquin , Aurélien Bellet , Marc Tommasi , Matthieu Boussard