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Linear sketches have been widely adopted to process fast data streams, and they can be used to accurately answer frequency estimation, approximate top K items, and summarize data distributions. When data are sensitive, it is desirable to…

Data Structures and Algorithms · Computer Science 2022-10-18 Fuheng Zhao , Dan Qiao , Rachel Redberg , Divyakant Agrawal , Amr El Abbadi , Yu-Xiang Wang

Sketching is an important tool for dealing with high-dimensional vectors that are sparse (or well-approximated by a sparse vector), especially useful in distributed, parallel, and streaming settings. It is known that sketches can be made…

Data Structures and Algorithms · Computer Science 2022-10-13 Rasmus Pagh , Mikkel Thorup

Linear regression is frequently applied in a variety of domains, some of which might contain sensitive information. This necessitates that the application of these methods does not reveal private information. Differentially private (DP)…

Machine Learning · Computer Science 2025-12-01 Shrutimoy Das , Debanuj Nayak , Anirban Dasgupta

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

Cryptography and Security · Computer Science 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen

We consider the problem of computing differentially private approximate histograms and heavy hitters in a stream of elements. In the non-private setting, this is often done using the sketch of Misra and Gries [Science of Computer…

Data Structures and Algorithms · Computer Science 2025-03-19 Christian Janos Lebeda , Jakub Tětek

We present a new approach for computing compact sketches that can be used to approximate the inner product between pairs of high-dimensional vectors. Based on the Weighted MinHash algorithm, our approach admits strong accuracy guarantees…

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

Categorical attributes are those that can take a discrete set of values, e.g., colours. This work is about compressing vectors over categorical attributes to low-dimension discrete vectors. The current hash-based methods compressing vectors…

Machine Learning · Computer Science 2021-12-08 Debajyoti Bera , Rameshwar Pratap , Bhisham Dev Verma

Communication and privacy are two critical concerns in distributed learning. Many existing works treat these concerns separately. In this work, we argue that a natural connection exists between methods for communication reduction and…

Machine Learning · Computer Science 2019-12-09 Tian Li , Zaoxing Liu , Vyas Sekar , Virginia Smith

We introduce the linear-transformation model, a distributed model of differentially private data analysis. Clients have access to a trusted platform capable of applying a public matrix to their inputs. Such computations can be securely…

Cryptography and Security · Computer Science 2025-03-06 Jakob Burkhardt , Hannah Keller , Claudio Orlandi , Chris Schwiegelshohn

Given a multiset of $n$ items from $\mathcal{D}$, the \emph{profile reconstruction} problem is to estimate, for $t = 0, 1, \dots, n$, the fraction $\vec{f}[t]$ of items in $\mathcal{D}$ that appear exactly $t$ times. We consider…

Cryptography and Security · Computer Science 2024-06-04 Hao Wu , Rasmus Pagh

We prove that $\mathbb{F}_p$ sketch, a well-celebrated streaming algorithm for frequency moments estimation, is differentially private as is when $p\in(0, 1]$. $\mathbb{F}_p$ sketch uses only polylogarithmic space, exponentially better than…

Cryptography and Security · Computer Science 2021-10-04 Lun Wang , Iosif Pinelis , Dawn Song

In this work, we study distributed sketching methods for large scale regression problems. We leverage multiple randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-23 Burak Bartan , Mert Pilanci

We introduce a model for differentially private analysis of weighted graphs in which the graph topology $(V,E)$ is assumed to be public and the private information consists only of the edge weights $w:E\to\mathbb{R}^+$. This can express…

Cryptography and Security · Computer Science 2016-04-21 Adam Sealfon

Sketching is one of the most fundamental tools in large-scale machine learning. It enables runtime and memory saving via randomly compressing the original large problem into lower dimensions. In this paper, we propose a novel sketching…

Machine Learning · Computer Science 2023-06-08 Zhao Song , Yitan Wang , Zheng Yu , Lichen Zhang

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…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Differential privacy is the standard privacy definition for performing analyses over sensitive data. Yet, its privacy budget bounds the number of tasks an analyst can perform with reasonable accuracy, which makes it challenging to deploy in…

Cryptography and Security · Computer Science 2022-11-28 Florimond Houssiau , Vincent Schellekens , Antoine Chatalic , Shreyas Kumar Annamraju , Yves-Alexandre de Montjoye

Gaussian sketching, which consists of pre-multiplying the data with a random Gaussian matrix, is a widely used technique for multiple problems in data science and machine learning, with applications spanning computationally efficient…

Machine Learning · Computer Science 2025-06-05 Omri Lev , Vishwak Srinivasan , Moshe Shenfeld , Katrina Ligett , Ayush Sekhari , Ashia C. Wilson

This work shows how to privately and more accurately estimate Euclidean distance between pairs of vectors. Input vectors $x$ and $y$ are mapped to differentially private sketches $x'$ and $y'$, from which one can estimate the distance…

Data Structures and Algorithms · Computer Science 2022-03-23 Nina Mesing Stausholm

There has been increasing demand for establishing privacy-preserving methodologies for modern statistics and machine learning. Differential privacy, a mathematical notion from computer science, is a rising tool offering robust privacy…

Methodology · Statistics 2024-05-09 Shurong Lin , Elliot Paquette , Eric D. Kolaczyk
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