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The count-min sketch (CMS) is a randomized data structure that provides estimates of tokens' frequencies in a large data stream using a compressed representation of the data by random hashing. In this paper, we rely on a recent Bayesian…

机器学习 · 统计学 2021-02-12 Emanuele Dolera , Stefano Favaro , Stefano Peluchetti

We present a refined analysis of the classic Count-Sketch streaming heavy hitters algorithm [CCF02]. Count-Sketch uses O(k log n) linear measurements of a vector x in R^n to give an estimate x' of x. The standard analysis shows that this…

数据结构与算法 · 计算机科学 2013-10-22 Gregory T. Minton , Eric Price

Elastic-Sketch is a hash-based data structure for counting item's appearances in a data stream, and it has been empirically shown to achieve a better memory-accuracy trade-off compared to classical methods. This algorithm combines a heavy…

数据结构与算法 · 计算机科学 2026-03-27 Younes Ben Mazziane , Vinay Kumar B. R. , Othmane Marfoq

Estimating the frequency of items on the high-volume, fast data stream has been extensively studied in many areas, such as database and network measurement. Traditional sketches provide only coarse estimates under strict memory constraints.…

机器学习 · 计算机科学 2026-03-26 Xinyu Yuan , Yan Qiao , Meng Li , Zhenchun Wei , Cuiying Feng , Zonghui Wang , Wenzhi Chen

Count-sketch is a popular matrix sketching algorithm that can produce a sketch of an input data matrix X in O(nnz(X))time where nnz(X) denotes the number of non-zero entries in X. The sketched matrix will be much smaller than X while…

机器学习 · 计算机科学 2020-11-30 Yuhan Wang , Zijian Lei , Liang Lan

Count-Min Sketch (CMS) is a memory-efficient data structure for estimating the frequency of elements in a multiset. Learned Count-Min Sketch (LCMS) enhances CMS with a machine learning model to reduce estimation error under the same memory…

机器学习 · 计算机科学 2025-12-16 Kyosuke Nishishita , Atsuki Sato , Yusuke Matsui

Randomized algorithms, such as randomized sketching or stochastic optimization, are a promising approach to ease the computational burden in analyzing large datasets. However, randomized algorithms also produce non-deterministic outputs,…

统计方法学 · 统计学 2025-05-13 Zhixiang Zhang , Sokbae Lee , Edgar Dobriban

We introduce and study a new data sketch for processing massive datasets. It addresses two common problems: 1) computing a sum given arbitrary filter conditions and 2) identifying the frequent items or heavy hitters in a data set. For the…

统计计算 · 统计学 2017-09-14 Daniel Ting

Modern stream processing systems often need to track the frequency of distinct keys in a data stream in real-time. Since maintaining exact counts can require a prohibitive amount of memory, many applications rely on compact, probabilistic…

数据结构与算法 · 计算机科学 2026-04-29 Navid Eslami , Ioana O. Bercea , Rasmus Pagh , Niv Dayan

The Count-Min Sketch is a widely adopted structure for approximate event counting in large scale processing. In a previous work we improved the original version of the Count-Min-Sketch (CMS) with conservative update using approximate…

信息检索 · 计算机科学 2016-06-16 Guillaume Pitel , Geoffroy Fouquier , Emmanuel Marchand , Abdul Mouhamadsultane

Count-Min sketch is a hash-based data structure to represent a dynamically changing associative array of counters. Here we analyse the counting version of Count-Min under a stronger update rule known as \textit{conservative update},…

数据结构与算法 · 计算机科学 2023-09-08 Éric Fusy , Gregory Kucherov

A data sketch algorithm scans a big data set, collecting a small amount of data -- the sketch, which can be used to statistically infer properties of the big data set. Some data sketch algorithms take a fixed-size random sample of a big…

机器学习 · 计算机科学 2022-08-16 Eric Bax , John Donald

Sketching algorithms use random projections to generate a smaller sketched data set, often for the purposes of modelling. Complete and partial sketch regression estimates can be constructed using information from only the sketched data set…

统计方法学 · 统计学 2023-06-07 R. P. Browne , J. L. Andrews

We consider sketching algorithms which first quickly compress data by multiplication with a random sketch matrix, and then apply the sketch to quickly solve an optimization problem, e.g., low rank approximation. In the learning-based…

机器学习 · 计算机科学 2021-06-08 Simin Liu , Tianrui Liu , Ali Vakilian , Yulin Wan , David P. Woodruff

In federated frequency estimation (FFE), multiple clients work together to estimate the frequencies of their collective data by communicating with a server that respects the privacy constraints of Secure Summation (SecSum), a cryptographic…

数据结构与算法 · 计算机科学 2023-12-05 Jingfeng Wu , Wennan Zhu , Peter Kairouz , Vladimir Braverman

Frequency estimation data structures such as the count-min sketch (CMS) have found numerous applications in databases, networking, computational biology and other domains. Many applications that use the count-min sketch process massive and…

数据结构与算法 · 计算机科学 2018-05-01 Mayank Goswami , Dzejla Medjedovic , Emina Mekic , Prashant Pandey

Estimating the distribution and quantiles of data is a foundational task in data mining and data science. We study algorithms which provide accurate results for extreme quantile queries using a small amount of space, thus helping to…

数据结构与算法 · 计算机科学 2021-06-11 Graham Cormode , Abhinav Mishra , Joseph Ross , Pavel Veselý

In this paper, we revisit the classic CountSketch method, which is a sparse, random projection that transforms a (high-dimensional) Euclidean vector $v$ to a vector of dimension $(2t-1) s$, where $t, s > 0$ are integer parameters. It is…

数据结构与算法 · 计算机科学 2021-02-04 Kasper Green Larsen , Rasmus Pagh , Jakub Tětek

With the increasing rate of data generated by critical systems, estimating functions on streaming data has become essential. This demand has driven numerous advancements in algorithms designed to efficiently query and analyze one or more…

数据库 · 计算机科学 2024-05-16 Mike Heddes , Igor Nunes , Tony Givargis , Alex Nicolau

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