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Modern data stream applications demand memory-efficient solutions for accurately tracking frequent items, such as heavy hitters and heavy changers, under strict resource constraints. Traditional sketches face inherent accuracy-memory…

数据库 · 计算机科学 2025-05-20 Zicang Xu , Yuxuan Tian , Yuhan Wu , Tong Yang

Differential privacy is the leading mathematical framework for privacy protection, providing a probabilistic guarantee that safeguards individuals' private information when publishing statistics from a dataset. This guarantee is achieved by…

统计方法学 · 统计学 2025-08-19 Yuki Ohnishi , Jordan Awan

We present the first $\varepsilon$-differentially private, computationally efficient algorithm that estimates the means of product distributions over $\{0,1\}^d$ accurately in total-variation distance, whilst attaining the optimal sample…

数据结构与算法 · 计算机科学 2024-01-29 Vikrant Singhal

Matrix sketching is a powerful tool for reducing the size of large data matrices. Yet there are fundamental limitations to this size reduction when we want to recover an accurate estimator for a task such as least square regression. We show…

数据结构与算法 · 计算机科学 2024-05-10 Sachin Garg , Kevin Tan , Michał Dereziński

Convex programming with linear constraints plays an important role in the operation of a number of everyday systems. However, absent any additional protections, revealing or acting on the solutions to such problems may reveal information…

最优化与控制 · 数学 2024-09-16 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

We introduce the notion of restricted sensitivity as an alternative to global and smooth sensitivity to improve accuracy in differentially private data analysis. The definition of restricted sensitivity is similar to that of global…

密码学与安全 · 计算机科学 2013-02-04 Jeremiah Blocki , Avrim Blum , Anupam Datta , Or Sheffet

In response to growing concerns about user privacy, federated learning has emerged as a promising tool to train statistical models over networks of devices while keeping data localized. Federated learning methods run training tasks directly…

机器学习 · 计算机科学 2019-11-06 Zaoxing Liu , Tian Li , Virginia Smith , Vyas Sekar

We study the problem of differentially private (DP) mechanisms for representing sets of size $k$ from a large universe. Our first construction creates $(\epsilon,\delta)$-DP representations with error probability of $1/(e^\epsilon + 1)$…

密码学与安全 · 计算机科学 2025-07-23 Sarvar Patel , Giuseppe Persiano , Joon Young Seo , Kevin Yeo

As sketch research has collectively matured over time, its adaptation for at-mass commercialisation emerges on the immediate horizon. Despite an already mature research endeavour for photos, there is no research on the efficient inference…

计算机视觉与模式识别 · 计算机科学 2025-05-30 Aneeshan Sain , Subhajit Maity , Pinaki Nath Chowdhury , Subhadeep Koley , Ayan Kumar Bhunia , Yi-Zhe Song

What guarantees are possible for solving logistic regression in one pass over a data stream? To answer this question, we present the first data oblivious sketch for logistic regression. Our sketch can be computed in input sparsity time over…

数据结构与算法 · 计算机科学 2021-07-15 Alexander Munteanu , Simon Omlor , David Woodruff

High-dimensional sparse data present computational and statistical challenges for supervised learning. We propose compact linear sketches for reducing the dimensionality of the input, followed by a single layer neural network. We show that…

机器学习 · 计算机科学 2016-04-21 Amit Daniely , Nevena Lazic , Yoram Singer , Kunal Talwar

Large-scale collection of contextual information is often essential in order to gather statistics, train machine learning models, and extract knowledge from data. The ability to do so in a {\em privacy-preserving} way -- i.e., without…

密码学与安全 · 计算机科学 2016-01-07 Luca Melis , George Danezis , Emiliano De Cristofaro

Data sketching is a critical tool for distinct counting, enabling multisets to be represented by compact summaries that admit fast cardinality estimates. Because sketches may be merged to summarize multiset unions, they are a basic building…

数据结构与算法 · 计算机科学 2023-02-07 Jonathan Hehir , Daniel Ting , Graham Cormode

We study the problem of estimating a set of $d$ linear queries with respect to some unknown distribution $\mathbf{p}$ over a domain $\mathcal{J}=[J]$ based on a sensitive data set of $n$ individuals under the constraint of local…

机器学习 · 计算机科学 2018-10-08 Raef Bassily

We study the problem of releasing the weights of all-pair shortest paths in a weighted undirected graph with differential privacy (DP). In this setting, the underlying graph is fixed and two graphs are neighbors if their edge weights differ…

数据结构与算法 · 计算机科学 2022-03-31 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

We consider a high-dimensional stochastic contextual linear bandit problem when the parameter vector is $s_{0}$-sparse and the decision maker is subject to privacy constraints under both central and local models of differential privacy. We…

机器学习 · 计算机科学 2024-02-07 Apurv Shukla

Randomized linear system solvers have become popular as they have the potential to reduce floating point complexity while still achieving desirable convergence rates. One particularly promising class of methods, random sketching solvers,…

数值分析 · 数学 2020-12-23 Vivak Patel , Mohammad Jahangoshahi , Daniel Adrian Maldonado

We introduce efficient differentially private (DP) algorithms for several linear algebraic tasks, including solving linear equalities over arbitrary fields, linear inequalities over the reals, and computing affine spans and convex hulls. As…

数据结构与算法 · 计算机科学 2024-11-06 Haim Kaplan , Yishay Mansour , Shay Moran , Uri Stemmer , Nitzan Tur

We study the problem of estimating high dimensional models with underlying sparse structures while preserving the privacy of each training example. We develop a differentially private high-dimensional sparse learning framework using the…

机器学习 · 统计学 2019-09-16 Lingxiao Wang , Quanquan Gu

Linear models are ubiquitous in data science, but are particularly prone to overfitting and data memorization in high dimensions. To guarantee the privacy of training data, differential privacy can be used. Many papers have proposed…

机器学习 · 计算机科学 2024-04-02 Amol Khanna , Edward Raff , Nathan Inkawhich