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Nonlinear aggregation is central to modern distributed systems, yet its privacy behavior is far less understood than that of linear aggregation. Unlike linear aggregation where mature mechanisms can often suppress information leakage,…

信号处理 · 电气工程与系统科学 2026-01-21 Wenrui Yu , Jaron Skovsted Gundersen , Richard Heusdens , Qiongxiu Li

Low-rank factorization is used in many areas of computer science where one performs spectral analysis on large sensitive data stored in the form of matrices. In this paper, we study differentially private low-rank factorization of a matrix…

数据结构与算法 · 计算机科学 2016-11-29 Jalaj Upadhyay

We consider privacy in the context of streaming algorithms for cardinality estimation. We show that a large class of algorithms all satisfy $\epsilon$-differential privacy, so long as (a) the algorithm is combined with a simple…

数据结构与算法 · 计算机科学 2023-02-06 Charlie Dickens , Justin Thaler , Daniel Ting

We propose differentially private algorithms for parameter estimation in both low-dimensional and high-dimensional sparse generalized linear models (GLMs) by constructing private versions of projected gradient descent. We show that the…

机器学习 · 统计学 2020-12-08 T. Tony Cai , Yichen Wang , Linjun Zhang

Online learning has been in the spotlight from the machine learning society for a long time. To handle massive data in Big Data era, one single learner could never efficiently finish this heavy task. Hence, in this paper, we propose a novel…

机器学习 · 计算机科学 2015-06-24 Chencheng Li , Pan Zhou

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

数据结构与算法 · 计算机科学 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Distributed data analysis is a large and growing field driven by a massive proliferation of user devices, and by privacy concerns surrounding the centralised storage of data. We consider two \emph{adaptive} algorithms for estimating one…

密码学与安全 · 计算机科学 2025-02-06 Anders Aamand , Fabrizio Boninsegna , Abigail Gentle , Jacob Imola , Rasmus Pagh

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

密码学与安全 · 计算机科学 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

In this paper, we propose differentially private algorithms for the problem of stochastic linear bandits in the central, local and shuffled models. In the central model, we achieve almost the same regret as the optimal non-private…

机器学习 · 计算机科学 2022-07-08 Osama A. Hanna , Antonious M. Girgis , Christina Fragouli , Suhas Diggavi

Shuffling is a powerful way to amplify privacy of a local randomizer in private distributed data analysis. Most existing analyses of how shuffling amplifies privacy are based on the pure local differential privacy (DP) parameter…

数据结构与算法 · 计算机科学 2026-03-03 Shun Takagi , Seng Pei Liew

This study introduces a new normalization layer termed Batch Layer Normalization (BLN) to reduce the problem of internal covariate shift in deep neural network layers. As a combined version of batch and layer normalization, BLN adaptively…

机器学习 · 计算机科学 2023-01-16 Amir Ziaee , Erion Çano

We study the direct and inverse spectral theory for a class of finite Hermitian banded matrices. Using the theory of matrix orthogonal polynomials, we provide an explicit procedure for reconstructing a banded matrix from a matrix-valued…

谱理论 · 数学 2026-04-14 Charbel Abi Younes , Thomas Trogdon

Transformer-based neural networks, empowered by Self-Supervised Learning (SSL), have demonstrated unprecedented performance across various domains. However, related literature suggests that tabular Transformers may struggle to outperform…

Linear queries can be submitted to a server containing private data. The server provides a response to the queries systematically corrupted using an additive noise to preserve the privacy of those whose data is stored on the server. The…

密码学与安全 · 计算机科学 2020-08-12 Farhad Farokhi , Peyman Mohajerin Esfahani

A factorization of the inverse of a Hermetian positive definite matrix based on a diagonal by diagonal recurrence formulae permits the inversion of Toeplitz Block Toeplitz matrices using minimized matrix-vector products, with a complexity…

谱理论 · 数学 2007-05-23 Rami Kanhouche

Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged…

密码学与安全 · 计算机科学 2025-06-18 Alexander Bienstock , Ujjwal Kumar , Antigoni Polychroniadou

As machine learning (ML) becomes more prevalent in human-centric applications, there is a growing emphasis on algorithmic fairness and privacy protection. While previous research has explored these areas as separate objectives, there is a…

机器学习 · 计算机科学 2024-02-19 Songjie Xie , Youlong Wu , Jiaxuan Li , Ming Ding , Khaled B. Letaief

Differential privacy (DP) is the prevailing technique for protecting user data in machine learning models. However, deficits to this framework include a lack of clarity for selecting the privacy budget $\epsilon$ and a lack of…

机器学习 · 计算机科学 2023-06-29 Tyler LeBlond , Joseph Munoz , Fred Lu , Maya Fuchs , Elliott Zaresky-Williams , Edward Raff , Brian Testa

Obtaining the inverse of a large symmetric positive definite matrix $\mathcal{A}\in\mathbb{R}^{p\times p}$ is a continual challenge across many mathematical disciplines. The computational complexity associated with direct methods can be…

数值分析 · 数学 2025-09-03 Ann Paterson , Jennifer Pestana , Victorita Dolean

Split learning (SL) enables data privacy preservation by allowing clients to collaboratively train a deep learning model with the server without sharing raw data. However, SL still has limitations such as potential data privacy leakage and…

机器学习 · 计算机科学 2022-06-13 Ngoc Duy Pham , Alsharif Abuadbba , Yansong Gao , Tran Khoa Phan , Naveen Chilamkurti